Given the measure of an acute angle in a right triangle, we can tell the ratios of the lengths of the triangle's sides relative to that acute angle.

Here are the approximate ratios for angle measures

55

°

55°55, degree,

65

°

65°65, degree, and

75

°

75°75, degree.

Angle

55

°

55°55, degree

65

°

65°65, degree

75

°

75°75, degree

adjacent leg length

hypotenuse length

hypotenuse length

adjacent leg length



start fraction, start text, a, d, j, a, c, e, n, t, space, l, e, g, space, l, e, n, g, t, h, end text, divided by, start text, h, y, p, o, t, e, n, u, s, e, space, l, e, n, g, t, h, end text, end fraction

0.57

0.570, point, 57

0.42

0.420, point, 42

0.26

0.260, point, 26

opposite leg length

hypotenuse length

hypotenuse length

opposite leg length



start fraction, start text, o, p, p, o, s, i, t, e, space, l, e, g, space, l, e, n, g, t, h, end text, divided by, start text, h, y, p, o, t, e, n, u, s, e, space, l, e, n, g, t, h, end text, end fraction

0.82

0.820, point, 82

0.91

0.910, point, 91

0.97

0.970, point, 97

opposite leg length

adjacent leg length

adjacent leg length

opposite leg length



start fraction, start text, o, p, p, o, s, i, t, e, space, l, e, g, space, l, e, n, g, t, h, end text, divided by, start text, a, d, j, a, c, e, n, t, space, l, e, g, space, l, e, n, g, t, h, end text, end fraction

1.43

1.431, point, 43

2.14

2.142, point, 14

3.73

3.733, point, 73

Use the table to approximate

m



L

m∠Lm, angle, L in the triangle below.


3.2

3.2

11.9

11.9

L

L

K

K

J

J

Choose 1 answer:

Answers

Answer 1

The angle measure of L in the triangle is approximately 75°.

Based on the given table, we can see that the ratio of the opposite leg length to the adjacent leg length for an angle measure of 75° is approximately 3.73. Looking at the triangle in the question, we can see that the side opposite to angle L is the hypotenuse and the adjacent leg is LK.

Therefore, the ratio of the opposite leg length to the adjacent leg length for angle L is equal to the ratio of the hypotenuse length to the length of segment LK.

From the figure, we can see that the length of segment LK is approximately 3.2 units. Therefore, the length of the hypotenuse is approximately 3.73 times the length of segment LK, or:

hypotenuse length ≈ 3.73 × 3.2 ≈ 11.9

Therefore, the angle measure of L is approximately 75°.

To know more about angle measure, refer to the link below:

https://brainly.com/question/12598369#

#SPJ11


Related Questions

Which expressions represent the length of side MN?



Choose 2 answers:



A. 4 • sin (65)



B. 1. 9 • cos (65)



C. 4/sin (65)



D. 1. 9/cos (65)



PLEASE HELP!!

Answers

Expressions A and B represent the length of side MN.

How can the length of side MN be expressed?

The two expressions that represent the length of side MN are A) 4•sin(65) and B) 1.9•cos(65). The length of side MN can be found using the trigonometric ratios of sine and cosine in a right triangle.

The angle of 65 degrees is opposite to side MN and the hypotenuse of the triangle is given as 4 units. Using the sine ratio, we can find the length of MN as 4•sin(65). Similarly, using the cosine ratio, we can find the length of MN as 1.9•cos(65).

Therefore, expressions A and B both represent the length of side MN, and they have been obtained by using different trigonometric ratios.

Learn more about expressions

brainly.com/question/14083225

#SPJ11

Given the objective Function: Revenue = 75x+85y and the critical points: (0,0) (180,120) (300,0)

Answers

is 89 becyase 78+90 is 10

please help me I don't understand how to do these.
Given: SD⊥HT ; SH≅ST
Prove: SHD=STD

Answers

Step-by-step explanation:

For this given problem we have the following statements and reasons:

1) SD is vertical to HT,

Reason: Given

2) SDH and SDT are right angles

Reason: Right angle congruence theorem

3) SH=≈ST

Reason: Given

4) BD=≈BD

Reason: Reflexive property

5) SHD=≈STD

Reason: SAS

The scores on the last math quiz are summarized in the following frequency table:
Score
10
9
8
7
6
5
4
3
2
1
0
Frequency
6
7
5
3
2
1
1
0
0
0
0

The information is then put into the following histogram:
A histogram has score on the x-axis, and frequency on the y-axis. A score of 4 has a frequency of 1; 5, 1; 6, 2; 7, 3; 8, 5; 9, 7; 10, 6.
Calculate the mean, median, mode, and midrange of this quiz distribution and explain whether the distribution is skewed to the left or to the right.
a.
Mean = 9, median = 8.2, mode = 7, midrange = 9; skewed to the left.
b.
Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the left.
c.
Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the right.
d.
Mean = 9, median = 8.2, mode = 7, midrange = 9; skewed to the right.



Please select the best answer from the choices provided

Answers

The correct option regarding the data is B. Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the left.

How to explain the data

A histogram has score on the x-axis, and frequency on the y-axis. A score of 4 has a frequency of 1; 5, 1; 6, 2; 7, 3; 8, 5; 9, 7; 10, 6.

It shtbe noted that Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the left.

This statement describes a distribution with a mean equal to the median and a mode that is likely less than the mean and the median. The fact that the distribution is skewed to the left indicates that the tail of the distribution is longer on the left side, and that there may be some low outliers that are pulling the mean towards the left.

Learn more about mean on

https://brainly.com/question/1136789

#SPJ1

Find the missing side
17 cm
1319
a
area = 25 cm²

Answers

Answer:

a= 2.9cm

Step-by-step explanation:

area =25 so 17a=50

50/17=2.941176...

Use of Sine formula

Area = 0.5 x sin (A) x a x b


25 = 0.5 x sin (131) x 17 x a

sin 131 = 0.7547

a = (25) / (0.5 x 0,7547 x 17)
= 25 / 6.415
= 3.897 cm

+
ent will
A circle with center (7,3) and radius of 5 is graphed below with a square inscribed in
the circle.
+
Dillon says to write the equation of the tangent line you need the opposite-reciprocal
slope of the slope of the radius and Chelsey says you need to use the same slope as
the radius. Who is correct and why? Write the equation of the tangent line.
Part B: Find the perimeter of BCDE.
Part C: Find the area of BCDE.
Part D: Prove BCDE is a square.

Answers

Chelsey is correct that we use the same slope as the radius to write the equation of the tangent line, even though the slope of the radius is undefined at the points of tangency.

The perimeter will be 20 ✓2 units.

The area will be 50 units²

How to explain the information

Chelsey is correct, and the reason is that a tangent line to a circle at a given point is always perpendicular to the radius of the circle at that point. This means that the slope of the tangent line and the slope of the radius at the point of tangency are negative reciprocals of each other.

Chelsey is correct that we use the same slope as the radius to write the equation of the tangent line.

The perimeter will be:

= 4 × BC

= 20 ✓2

The area will be:

= BC²

= (5✓2)²

= 50

It should be noted that BCDE is a square as EBC is 90°.

Learn more about slope on

https://brainly.com/question/3493733

#SPJ1

Triangle G Y K is shown. Angle G K Y is a right angle. Angle K G Y is 60 degrees and angle G Y K is 30 degrees. The length of G K is 27.
Given right triangle GYK, what is the value of tan(G)?

One-half
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction
StartRoot 3 EndRoot

Answers

The value of tanG is √3

What is trigonometric ratio?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan(tetha) = opp/adj

The value of KY

Tan 30 = 27/KY

1/√3 = 27/KY

KY = 27√3

Tan G = 27√3/27

tanG = √3

therefore the value of tanG is √3

learn more about trigonometric ratio from

https://brainly.com/question/24349828

#SPJ1

Which graphs represent functions?
4

4

4
4 -2
++
Graph A
4
2
2
2
4
4
2 4
Graph C
X
-4
-2
4
-2
2
-2-
4
Graph B
у
4-
2
-2
Graph D
4
4

Answers

Answer is graphs B and D

Explanation

We know the graph is a function if there is one output (y) for every input (x). We can also use the vertical line test to see if the line is crossed in more than one place.

Using the vertical line test I can see my vertical line will cross the line more than one time on Graph A meaning there is more than one output for every input. There is 2 points at x = 1, so there are more than one output for x=1 input.

Graph B and D pass the vertical line test and there are not more than one output for every input.

See the attachment.

Can someone help me ASAP please? It’s due tomorrow. Show work please!! I will give brainliest if it’s correct and has work.

Answers

Answer:

Step-by-step explanation:

There are 12 possible cards you can choose.

There are 3 possible results for the spinner.

There are 2 possible results for the coin toss.

When doing all 3 events:

      Total possibilities [tex]=12\times 3 \times 2=72.[/tex]

SOLUTION:   72

8. The scatter plot shows the relationship between the number


of chapters and the total number of pages for several books.


Use the trend line to predict how many pages would be in a


book with 19 chapters.


Pages


11


1220+----


1200


180+


160-


(140+


120-


100+


80


60+


40+


20+


Chapters


0 2


4 6 8 10 12 14 16 18 20

Answers

Answer: So, according to this prediction, a book with 19 chapters would have approximately 950 pages. However, keep in mind that this is just a prediction based on the trend line, and there may be some variability in the actual number of pages for a book with 19 chapters.

Step-by-step explanation:

Unfortunately, I cannot see the scatter plot you are referring to. However, I can explain how to use a trend line to predict the number of pages in a book with 19 chapters.

A trend line is a line that represents the general direction or tendency of the data in a scatter plot. To use a trend line to predict the number of pages in a book with 19 chapters, you would first need to determine the equation of the trend line.

This equation usually takes the form y = mx + b, where y is the dependent variable (in this case, the total number of pages), x is the independent variable (in this case, the number of chapters), m is the slope of the line, and b is the y-intercept (the value of y when x is 0).

Once you have the equation of the trend line, you can plug in the value x = 19 and solve for y to get the predicted number of pages in a book with 19 chapters.

For example, if the equation of the trend line is y = 50x + 200, then the predicted number of pages for a book with 19 chapters would be:

y = 50(19) + 200

y = 950

So, according to this prediction, a book with 19 chapters would have approximately 950 pages. However, keep in mind that this is just a prediction based on the trend line, and there may be some variability in the actual number of pages for a book with 19 chapters.

To know more about trend line refer here

https://brainly.com/question/22722918#

#SPJ11

Help me— My brain goes brrr in this question word problem thing ; - ;

A table tennis ball has a radius of 0. 04m. Estimate how many table tennis balls you could fit into the coin building! [search up what it is—]

( Width: 20m | height: 110m )


- How did you calculate your estimate?

- Explain how accurate you think your prediction is?

( Show Work. )

Answers

Number of balls ≈ [tex]1.03 * 10^9[/tex]

To calculate how many table tennis balls can fit into the coin building, we need to first figure out the volume of the building and the volume of the table tennis ball.

Then, we can divide the volume of the building by the volume of the ball to get an estimate of the number of balls that can fit inside.

The volume of a table tennis ball can be calculated using the formula for the volume of a sphere, which is:

V = (4/3)πr³

where V is the volume, π is pi (approximately 3.14), and r is the radius of the ball. In this case, the radius is given as 0.04m, so we can plug that in and get:

V = (4/3) x 3.14 x 0.04³

[tex]V =2.14 * 10^{-5} m^3[/tex]

Next, we need to find the volume of the coin building. The building has a width of 20m and a height of 110m, but we don't know its depth.

Let's assume that the building is a rectangular prism with a depth of 10m. Then, we can calculate its volume using the formula:

V = l x w x h

where l is the length, w is the width, and h is the height. Plugging in the given values, we get:

V = 20 x 10 x 110

V = 22000 m³

Now, we can divide the volume of the building by the volume of the ball to get an estimate of how many balls can fit inside:

Number of balls ≈ [tex]V_building / V_ball[/tex]

Number of balls ≈ 22000 / 2.14 x [tex]10^-5[/tex]

Number of balls ≈ [tex]1.03 * 10^9[/tex]

So we can estimate that approximately 1.03 billion table tennis balls can fit into the coin building.

As for the accuracy of this prediction, it's important to keep in mind that we made some assumptions and estimations in our calculations.

For example, we assumed that the building is a rectangular prism with a depth of 10m, which may not be completely accurate.

Additionally, we rounded some of our values and used approximations for pi.

Therefore, our estimate should be considered as a rough approximation rather than an exact calculation. Nonetheless, it gives us an idea of the scale of the building and how many objects it can hold.

To know more about volume refer here

https://brainly.com/question/1578538#

#SPJ11

The function
models the DVD sales, in billions of dollars, from 1999 to 2017, where
is the number of years since 1999.

What is the average rate of change of DVD sales, in billion of dollars, per year for the period from 2001 to 2008? Round your answer to the nearest tenth, if necessary.

Answers

The average rate of change of DVD sales is 723.1 billion dollars.

How to determine average rate of change of DVD sales?

The average rate of change of an equation can be determine by using the formula below:

average rate of change = (f(x₂)- f(x₁)) / [x₂- x₁]

From the given information of the DVD sales:

f(x) = -158.8x² + 2469.9x + 3010.5

x₁ = 2001 - 1999 = 2

x₂ = 2008 - 1999 = 9

average rate of change =  ([-158.8(9)² + 2469.9(9) + 3010.5] - [-158.8(2)² + 2469.9(2) + 3010.5]) / (9-2)

                                      = (12376.8 - 7315.1)/(7)

                                      = 723.1 billion dollars

Learn more about average rate of change on:

brainly.com/question/12363445

#SPJ1

Complete Question

Check image attached

Alana saved 1,200.00 to buy a pool table, but decided instead to charge it to her credit card.If the credit card had an interest rate of 13.5% for 6 months with no other fees, and she made no other purchases, what was her cost of credit of using the credit card instead of paying cash?

Answers

The answer is $1362

If a photo measures 4 inches by 6 inches is places in a frame that measure 2 inches wide all around what percent of the fear is the photo itsel

Answers

The photo takes up 30% of the framed area.

To calculate the percentage of the frame that is taken up by the photo, we first need to calculate the dimensions of the framed photo. If the photo measures 4 inches by 6 inches, the dimensions of the framed photo will be 8 inches by 10 inches (adding 2 inches to each side).

To calculate the area of the frame, we need to subtract the area of the photo from the area of the framed photo. The area of the photo is 4 inches x 6 inches = 24 square inches. The area of the framed photo is 8 inches x 10 inches = 80 square inches. So, the area of the frame is 80 square inches - 24 square inches = 56 square inches.

To calculate the percentage of the frame that is taken up by the photo, we divide the area of the photo by the area of the framed photo and multiply by 100.

24 square inches / 80 square inches x 100 = 30%

Therefore, the photo takes up 30% of the framed area.

To know more about dimensions, refer to the link below:

https://brainly.com/question/20293633#

#SPJ11

explain how using a table is similar to using a double number line and how it is different

Answers

Using a table is similar to using a double number line because the relation between the corresponding would never change.

Given that,

To explain how using a table is similar to using a double number line and how it is different.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,

Let assuming some values, in tabulated form,

x     y

1     -1

2    -2

3    -3

Now calibrating the x and y in the number line

x =  1   2   3

     ----------

y = -1   -2  -3

     -----------

When comparing the corresponding relationship it remains the same, where it is a table or number line.

Thus, using a table is similar to using a double number line because the relation between the corresponding would never change.

An ant travels 33cm in walking completely around the edges of a rectangle. If the rectangle is twice as long as it is wide, how long is the shortest side?

Answers

Rectangle: w = 5.5cm, l = 11cm. Shortest side is width.

A tired frog is jumping across a pond. Her first jump will be her longest. She travels 300 cm. Her second jump carries her another 270 cm. How far will the frog travel before she cannot jump anymore?



S= 1560cm


S= 570cm


S= 2700cm


S= 3000cm

Answers

The frog will travel a total distance of 1650 cm before she cannot jump anymore. None of the options given are correct.

To find the total distance the frog will travel, we need to add up the distances of all her jumps. Given that her first jump is her longest at 300 cm and her second jump is 270 cm, we can assume that each subsequent jump is shorter than the one before it.

The difference between the first jump and the second jump is 30 cm. So let's assume that the common difference between each jump is 30 cm. So the frog takes a total of 10 jumps before she cannot jump anymore.

The total distance the frog will travel is:

300 + 270 + (240 + 210 + 180 + 150 + 120 + 90 + 60 + 30) = 1650 cm

So here none of the options are correct.

To learn more about jump: https://brainly.com/question/31598277

#SPJ11

Dos personas reciben a los carros que entran a un estacionamiento. La primera persona entrega un boleto verde cada dos carros que entran. La segunda persona entrega un boleto azul cada tres carros que entran. ¿Qué número ocupará en la fila el tercer carro que recibirá boletos de ambos colores?

Answers

Por lo tanto, el tercer carro que recibirá boletos de ambos colores ocupará la posición número 18 en la fila.

Hola, entiendo que quieres saber en qué posición de la fila se encontrará el tercer carro que recibirá boletos de ambos colores (verde y azul). Para esto, vamos a analizar la situación:

- La primera persona entrega un boleto verde cada 2 carros.
- La segunda persona entrega un boleto azul cada 3 carros.

Un carro que recibe boletos de ambos colores será aquel que ocupa una posición que es múltiplo común de 2 y 3. El mínimo común múltiplo (MCM) de 2 y 3 es 6. Por lo tanto, cada 6 carros, habrá uno que reciba boletos de ambos colores.

Para encontrar el tercer carro que recibirá boletos de ambos colores, simplemente multiplicamos el MCM (6) por la cantidad de carros que buscamos (3):

6 × 3 = 18

Por lo tanto, el tercer carro que recibirá boletos ición número 18 en la fila.

To learn more about encontrar, refer below:

https://brainly.com/question/30634577

#SPJ11

Find the ordered pair (s,t) that satisfies the system

s/2+5/t=3

3t-6s=9

Answers

The ordered pair (s,t) that satisfies the system are (1/2,4) and (1,5).

We can use the second equation to solve for one of the variables in terms of the other. Let's solve for t:

3t - 6s = 9

3t = 6s + 9

t = (2s + 3)

Now we can substitute this expression for t into the first equation and solve for s:

s/2 + 5/t = 3

s/2 + 5/(2s + 3) = 3

Multiplying both sides by the denominator (2s + 3) gives:

s(2s + 3)/2 + 5 = 3(2s + 3)

Simplifying and collecting like terms yields:

2s^2 + 3s + 10 = 6s + 9

2s^2 - 3s + 1 = 0

This quadratic equation can be factored as:

(2s - 1)(s - 1) = 0

So s = 1/2 or s = 1.

Now we can substitute these values for s into the equation we derived for t:

If s=1/2 then t=2(1/2)+3=4

If s=1 then t=2(1)+3=5

Therefore, the ordered pairs that satisfy the system are (1/2,4) and (1,5).

Know more about ordered pair here:

https://brainly.com/question/11139505

#SPJ11

Escribe a cuáles de las bolsas anteriores corresponde la notación decimal aproximada a tres cifras

Answers

6.2 × 10⁴ in decimal notation is simply 62,000.

In scientific notation, a number is expressed as the product of a decimal number between 1 and 10 and a power of 10.

Now, let's talk about converting a number in scientific notation to decimal notation. Decimal notation simply means expressing a number in the standard way, using digits and a decimal point. To convert a number in scientific notation to decimal notation, we just need to evaluate the product of the decimal number and the power of 10.

In the case of 6.2 × 10⁴, the decimal number is 6.2, and the power of 10 is 4. To evaluate the product, we simply move the decimal point in 6.2 four places to the right, since the power of 10 is positive. This gives us:

6.2 × 10⁴ = 62,000

To know more about decimal here

https://brainly.com/question/9543292

#SPJ4

Complete Question:

Convert to decimal notation: 6.2 × 10⁴

In ΔRST, s = 990 inches, ∠S=8° and ∠T=60°. Find the area of ΔRST, to the nearest square inch

Answers

The area of ΔRST, to the nearest square inch is,

Area = 29,17,735.54 square inches

We have,

In ΔRST, s = 990 inches, ∠S=8° and ∠T=60°.

Apply sine rule formula,

sin S / s = sin T / t

sin 8° / 990 = sin 60° / t

0.14 / 990 = 0.87 / t

0.14t = 990 x 0.87

0.14t = 861.3

t = 6,152 inches

Here, ∠R = 180° - (8 + 60)°

∠R = 180 - 68

∠R = 112°

sin S / s = sin R / r

sin 8° / 990 = sin 112° / r

0.14 / 990 = 0.92 / r

0.14r = 0.92 x 990

0.14r = 910.8

r = 910.8 / 0.14

r = 6505 inches

We use the formula

Heron's formula = √s(s - a)(s - b)(s - c)

Where s = a + b + c/2

Solving for s

s = 990 + 6505 + 6,152 /2

s = 6823.5

Solving for the area of the triangle

= √6823.5 × (6823.5 - 990) × (6823.5 - 6,152) × (6823.5 - 6505)

= √6823.5 x 5833.5 x 671.5 x 318.5

= 29,17,735.54 square inches

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ12

36 A bicycle rental company charges a fixed rental fee for the first
30 minutes and a cost per minute for each additional minute. The
table shows the linear relationship between the total cost in dollars
to rent a bicycle and the number of additional minutes a bicycle
is rented.
Bicycle Rental
Number of Additional Minutes Total Cost (dollars)
15
3.05
20
$0.17 per min
$0.35 per min
$0.07 per min
$0.56 per min
35
55
3.40
4.45
5.85
What is the rate of change of the total cost in dollars with respect to
the number of additional minutes?

Answers

Answer:

C

Step-by-step explanation:

Since the rate is linear, we can subtract a larger amount of minutes by a smaller one and a larger cost by a smaller one.

For example:

20 - 15 = 5

3.40 - 3.05 = 0.35

Since you want to find the amount it takes per minute, you divide the 5 by 5 to make it one minute. You also divide the 0.35 by 5 in which you get 7.

The equation relates the sound level, , in decibels (dB), of a noise with an intensity of I to the smallest sound intensity that can be heard by the human ear, (approximately watts/meter2).



The maximum intensity of a car horn is approximately 0. 01 watts/meter2. Based on this information, which value is closest to the maximum sound level, in decibels, of a car horn?
.


100 dB



10 dB



1,000 dB



10,000 dB

Answers

The equation relates the sound level, in decibels (dB), of a noise with an intensity of I to the smallest sound intensity that can be heard by the human ear, which is approximately 1 x 10^-12 watts/meter2.

Using this equation and the given maximum intensity of a car horn (0.01 watts/meter2), we can find the maximum sound level in decibels:

Sound level = 10 log (0.01/1 x 10^-12)
Sound level = 10 log (1 x 10^10)
Sound level = 100 dB

Therefore, the value that is closest to the maximum sound level in decibels of a car horn is 100 dB.

The two-way table shows the number of houses on the market in the castillos’ price range. a 6-column table has 4 rows. the first column has entries 1 bathroom, 2 bathrooms, 3 bathrooms, total. the second column is labeled 1 bedroom with entries 67, 0, 0, 67. the third column is labeled 2 bedrooms with entries 21, 6, 18, 45. the fourth column is labeled 3 bedrooms with entries 0, 24, 16, 40. the fifth column is labeled 4 bedrooms with entries 0, 0, 56, 56. the sixth column is labeled total with entries 88, 30, 90, 208. what is the probability that a randomly selected house with 2 bathrooms has 3 bedrooms? 0.2 0.4 0.6 0.8

Answers

The probability that a randomly selected house with 2 bathrooms has 3 is: 0.8.

So, the fourth option is correct.

We have given that,

The two-way table shows the number of houses on the market in the Castillos’ price range.

A 6-column table has 4 rows.

The first column has entries 1 bathroom, 2 bathrooms and 3 bathrooms, in total.

The second column is labeled 1 bedroom with entries 67, 0, 0, 67.

The third column is labeled 2 bedrooms with entries 21, 6, 18, 45.

We are only considering the houses that have 2 bathrooms.

There are a total of 30 of these houses.

Out of these 30, 24 have 3 bedrooms.  

What is the formula for probability?

The probability of an event can only be between 0 and 1 and can also be written as a percentage.

This makes the probability 24/30, which is 0.8.

Therefore, the probability that a randomly selected house with 2 bathrooms has 3 is: 0.8.

So, the fourth option is correct.

To learn more about the probability visit:

brainly.com/question/25870256

#SPJ12

; 3. Using the complex form, find the Fourier series of the function. (30%) 1, 2k – .25 < x < 2k +.25, k € Z. a. (15%), f (x) = 0, elsewhere S 1,0

Answers

The Fourier series Using the complex form of f(x) is

f(x) = 1/2 + ∑[n=1, ∞] [2*(-1)^(n+k)/(nπ)]*sin(nπx), 2k-0.25 < x < 2k+0.25

where k is an integer.

To find the Fourier series of the function f(x) over the interval [-1, 1], we first note that f(x) is periodic with period T = 0.5. We can then write f(x) as a Fourier series of the form

f(x) = a0/2 + ∑[n=1, ∞] (ancos(nπx) + bnsin(nπx))

where

a0 = (1/T) ∫[0,T] f(x) dx

an = (2/T) ∫[0,T] f(x)*cos(nπx) dx

bn = (2/T) ∫[0,T] f(x)*sin(nπx) dx

Since f(x) = 0 for x < -0.25 and x > 0.25, we only need to consider the interval [-0.25, 0.25]. We can break this interval into subintervals of length 0.5 centered at integer values k

[-0.25, 0.25] = [-0.25, 0.25] ∩ [1.5, 2.5] ∪ [-0.25, 0.25] ∩ [0.5, 1.5] ∪ ... ∪ [-0.25, 0.25] ∩ [-1.5, -0.5]

For each subinterval, the Fourier coefficients can be calculated as follows

a0 = (1/0.5) ∫[-0.25, 0.25] f(x) dx = 1/2

an = (2/0.5) ∫[-0.25, 0.25] f(x)*cos(nπx) dx = 0

bn = (2/0.5) ∫[-0.25, 0.25] f(x)sin(nπx) dx = 2(-1)^k/(nπ)

Therefore, the Fourier series of f(x) is

f(x) = 1/2 + ∑[n=1, ∞] [2*(-1)^(n+k)/(nπ)]*sin(nπx), 2k-0.25 < x < 2k+0.25

where k is an integer.

To know more about Fourier series of the function:

https://brainly.com/question/30621098

#SPJ4

A study reports that in 20102010 the population of the United States was 308,745,538308,745,538 people and the land area was approximately 3,531,9053,531,905 square miles. ​Based on the study, what was the population density, in people per square mile, of the United States in 20102010? ​Round your answer to the nearest tenth. ​

Answers

The population density is 87.4, under the condition that a study report shows that in 2010 the population of the United States was counted to be  308,745,538 people and the land area is approximately 3,531,905 square miles.

Now to evaluate  the population density of the United States in 2010, here we have to use the principles of division
Population density = Population / Land area

Staging  the values from the study
Population density = 308,745,538 / 3,531,905
The evaluated Population density = 87.4 people per square mile

Then, the United State's population density in 2010 was  evaluated as 87.4 people per square mile.

To learn more about population density
https://brainly.com/question/13902749
#SPJ4
The complete question is
A study reports that in 2010 the population of the United States was 308,745,538 people and the land area was approximately 3,531,905 square miles. ​Based on the study, what was the population density, in people per square mile, of the United States in 2010? ​Round your answer to the nearest tenth. ​

Harold, Rhonda, and Brad added water to beakers in science class. The line plot shows the amount of water, in cups, that they added to each of 14 beakers.

Answers

In the given line plot, the data represents the amount of water, in cups, that Harold, Rhonda, and Brad added to each of 14 beakers in their science class.

A line plot is a way to represent data that involves marking a number line for each data point and placing an “X” above the number that represents the value of that data point.

The line plot shows that most of the beakers were filled with either 1 or 2 cups of water. Specifically, there are 5 beakers with 1 cup of water and 6 beakers with 2 cups of water. There are also 2 beakers with 3 cups of water and 1 beaker with 4 cups of water.

The line plot provides a visual representation of the data that allows the viewer to quickly understand the distribution of the data. By seeing that most of the data is clustered around 1 and 2 cups of water, one can infer that the students were likely instructed to add a specific amount of water to each beaker. However, the presence of a few outliers, such as the beaker with 4 cups of water, suggests that some of the students may have made errors in their measurements or not followed the instructions closely.

Overall, the line plot provides a quick and easy way to visualize the distribution of the data and identify any outliers or patterns in the data. It is a useful tool for representing small to medium-sized datasets and is commonly used in education, research, and data analysis.

To know more about line plot, refer to the link below:

https://brainly.com/question/23902686#

#SPJ11

Answer:

if this is study island than the answer is:

All of the beakers with more than  of a cup of water added to them were filled by Harold. Harold added a total of

4

cup(s) of water to his beakers.

All of the beakers with exactly  of a cup of water added to them were filled by Rhonda. Rhonda added a total of

15/8 or 1 7/8

cup(s) of water to her beakers.

Brad filled the rest of the beakers. Brad added a total of

13/8 or 1 5/8

cup(s) of water to his beakers.

Step-by-step explanation:

The cost to produce x kilograms of whatchamacallits is given by the function C(x) = 50x + 1000 where Cix) is in hundreds of dollars. The revenue for the sale of x whatchamacallits is given by R(x) = 450x where R(x) is in hundreds of dollars. How many kilograms should be produced and sold to realize a maximum profit? What is that maximum profit?

Answers

The maximum profit will be realized by producing and selling 2.5 kilograms of whatchamacallits.

The maximum profit, in hundreds of dollars, will be $500.

To find the maximum profit, we need to first calculate the profit function P(x), which is the difference between the revenue and the cost functions:

P(x) = R(x) - C(x)
P(x) = 450x - (50x + 1000)
P(x) = 400x - 1000

To find the amount of kilograms that should be produced and sold to realize a maximum profit, we need to find the value of x that maximizes the profit function.

We can do this by taking the derivative of the profit function and setting it equal to zero:

P'(x) = 400
400 = 0

Since the derivative is a constant value, there is no critical point or inflection point. Therefore, the profit function is increasing at a constant rate, and the maximum profit will be achieved at the highest possible value of x.

To find that value, we can set the profit function equal to zero and solve for x:

P(x) = 400x - 1000 = 0
400x = 1000
x = 2.5

Therefore, the maximum profit will be realized by producing and selling 2.5 kilograms of whatchamacallits.

To find the maximum profit itself, we can substitute this value of x into the profit function:

P(2.5) = 400(2.5) - 1000 = 500

So the maximum profit, in hundreds of dollars, will be $500.

To learn more about profit function, refer below:

https://brainly.com/question/16866047

#SPJ11

I need help Please !!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

the answer is ( x,y ) —-> ( -5, 1 )

Solve for x, t, r and round to the nearest hundredth

Answers

Answer:

x = 14°

t = 12.367 ~ 12.4

r = 2.999 ~ 3

Step-by-step explanation:

1st we can find x by sum theory which is the sum of all side equal to 180° .

x + 90° + 76° = 180 °

x + 166° = 180°

x= 180° - 166°

x = 14° ... So the unknown angle is 14°

and we also can solve hypotenus t and adjecent r by using sin amd cos respectively by angle 76° .

sin(76) = 12/t

sin(76) t = 12 ....... criss cross it

t = 12 / sin(76) ....... divided both side by sin(76)

t = 12.367 ~ 12.4 ....... result

And

cos(76) = r / 12.4

r = cos(76) × 12.4 .......criss cross

r = 2.999 ~ 3 ....... amswer and i approximate it

Other Questions
Which of the choices is an accurate statement that accounts for why women with the genotype xxx are not phenotypically different from an xx female?. B. direction: write true or false:1. buyers are the owner of the store or business establishment.2. sellers should provide warranty for the products that they will sell.3. entrepreneur is the person who buys goods or services.4. product research is a process of promoting and selling a product to a customer5. consumer is also called the end user because they use the goods or productsservices that meet the needs and wants and derive satisfaction from its use. if you were an author, what pseudonym would you use? I need the best answer to this question complete sentences (I will give 20 points for the full question answered how it says to do it.) what is the unabbreviated electron configuration of oganesson Marina has learned that it typically rains 43% of the days in August in the city where she lives. Assuming that the probability of rain on each day is independent, find the variance in the number of rainy days in Marina's city in two weeks during the month of August. Round your answer to three significant figures Jim walks 3 miles per hour slower than his friend Steve runs. Steve runs 4 miles per hour slower than his friend Matt rides his bike. Jim walks 25 miles in the same time Matt rides his bike miles. Steve runs 16 miles in the same time Matt rides his bike 24 miles. Part A: Write an equation to calculate Jim's speed How much do you need to make to afford a million dollar home?. Larry sold 300 items in his sports memorabilia shop. 5 of the items sold 6 were football items. 20% of the other items sold were baseball items. What percent of the total items sold were baseball items? Solve the quadratic equation 2x2 x = 15 using the quadratic formula. EllusThese prisms are similar. Find the surfacearea of the larger prism in decimal form. 5 m7 mSurface Area90 m2Surface Area = [? ] m2please helppp. :) Maria stewart discusses the experience of women in america in her passage titled an address delivered at the african masonic hall. stewart states that ""continual fear has somewhat lessened in us that natural force and energy which belonged to man"". what is her explanation of such a natural force and energy? use examples from the passage to support your response. Find the radius of the circle with equation x + y = 19r=0Submit Answer HELP FASTTTTT PLAZSSSS Please help !!!!!!!!!! Discuss two examples of suspense or humor created by point of view in your novel Hatchet. Provide a quotation (with page number) from the text to support your answers Type the correct answer in the box. Sam built a circular fenced-in section for some of his animals. The section has a circumference of 55 meters. What is the approximate area, in square meters, of the section? Use 22/7 for . Excerpt from Message to the Congress in Special Session, July 4, 1861by Abraham LincolnPresident Lincoln gave this speech to Congress to gain support and funding for the Civil War after Southern states had withdrawn from the Union. Lest there be some uneasiness in the minds of candid men, as to what is to be the course of the government, towards the Southern States, after the rebellion shall have been suppressed, the Executive deems it proper to say, it will be his purpose then, as ever, to be guided by the Constitution, and the laws; and that he probably will have no different understanding of the powers, and duties of the Federal government, relatively to the rights of the States, and the people, under the Constitution, than that expressed in the inaugural address. Read the excerpt. Then choose the correct way to complete the sentence. The purpose of this excerpt is to. _________A: Attack those who represent the southern states. B. Explain that no one can tell what the future will hold. C. Explain why he launched military action in the south. D. Address the concerns of a distrustful audience Use the given sample data to find each of the listed values. In your answer, include both numerical answers and an explanation, in complete sentences, for the steps necessary to find the data values. Complete your work in the space provided. 62 52 52 52 64 69 69 76 54 58 61 67 73Range _____Q1 _____Q3 _____IQR _____