Shanovia drew a card from a standard deck of 52 playing cards. What is the probability Shanovia drew 1 of
the 4 aces?

Answer:

Step-by-step explanation:

a)

First I will calculate the equation of the line that goes trough the points

C (0, 0) and (-4, 3).

y= mx + b

y = [(3-0)/ (-4 -0) ] x + 0

y = (-3/4)x  →the slope of tis line is (-3/4)

The slope of line l is the negative reciprocal of (-3/4) the slop of line that goes trough points C (0, 0) and (-4, 3) because the lines are ⊥.  

Slope of line l is 4/3

b)

The equation of l is

y= (4/3)x + b

for point (x= -4, y = 3) that belongs to the line l, we have

3 = (4/3) (-4) + b

3 = (-16/3) + b

3 + (16/3) = b

(9+16)/3 = b

25/3 = b

The equation of the line l in slope intercept form is :

y = (4/3)x + (25/3)

c)

The radius of circle C is the distance between C (0, 0) and (-4, 3).

d² = (x2-x1)² +(y2-y2)²

d = √(-4-0)² +(3-0)²

d = √16+ 9

d = 5 → the radius of the circle C is 5

d)

Line l intersects the y-axis at (25/3) as we previously found out.

The radius is 5.

...therefore the distance between the line l's y-intercept and the circumference of the circle is

(25/3 ) - 5  = (25 - 5·3)/3 = 10/3

Answer:

D

Step-by-step explanation:

_____________________________________

AnswerS :

1. Tan Z = p / b = 21/28

2. Cos C = b / h = 16 / 34 = 8/17

3. Sin C = p/ h = 28/35

4. Tan X = p / b = 32/24 = 16 / 12

5. cos A = b / h = 30/34 = 15 / 17

6. Sin A = p / h = 32/40 = 16/20

7. sin Z = p / h = 24 / 40 = 12 / 20

8. sin C = p / h = 14 / 50 = 7 / 25

RemembeR :

- HappY LearninG (≧▽≦)

__________________________________

SOHCAHTOA is an acronym for the formula

Sin= Opposite/hypothenuse

cos= adjusent/ hypothenuse

tan=opposite/adjusent

After u found the ratio u use inverse- put it in ur calculator then u get the answer

i answered one question- so u see how to solve

Using proportions, considering the ratios, it is found that Danil receives 65.33 euros.

A proportion is a fraction of a total amount.

Danil, gabriel and hadley share some money in the ratios 3:5:9. Hence, the fraction of the total amount that Danil and Hadley receive are given by:

[tex]D = \frac{3}{17}n[/tex]

[tex]H = \frac{9}{17}n[/tex]

The amount of money that hadley receives is 196 euros, hence the total amount is found as follows.

[tex]196 = \frac{9}{17}n[/tex]

[tex]n = \frac{196 \times 17}{9}[/tex]

n = 370.22.

Hence, the amount received by Danil is given by:

[tex]D = \frac{3}{17}n = \frac{3}{17} \times 370.22 = 65.33[/tex]

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a x a x c = 3.9 * 3.9 * 3 =45.6345.63 * 2 = 91.26a x b x c = 3.9 * 5.7 * 3 = 66.6966.69 + 91.26 = 157.95 cubic units

Answer:

[tex]y=\frac{1}{9}x+19/9[/tex]

Step-by-step explanation:

First get y by itself.

[tex]x-9y=-19\\-9y=-x-19\\[/tex]

Then variable y itself

[tex]y=(-x-19)*-1/9\\y=\frac{1}{9}x+19/9[/tex]

The inequality that can be used to find the greatest number of plants you can buy is p ≤$20 / 1.50.

Here are inequality signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The inequality sign that would be used in this question is ≤.

(cost of plant x number of plants) ≤ total spending money

$1.50p ≤ $20

p ≤ $20 / 1.50

To learn more about inequality, please check: https://brainly.com/question/5031619

Answer:

29

Step-by-step explanation:

What we do here is that we plug in 2 here like a puzzle.

f(2-5) = f(-3)

So, when we plug in 2 to the function, we get a f(-3)

Nowe take f(-3)

= 3(-3)²-4(-3)-10

= 3(9)+12-10

= 27+12-10

= 29

The equations will be re-written such that the expression on one side can be graphed and the x-intercepts of the graph would indicate the solution.

A) 3X² = 81

Rewritten, we have  3X² - 81 = 0

This is also = 3(X² - 27) = 0

B) (X - 1)(X + 1) - 9 = 5X

Open the brackets and we have X² - 1 - 9 - 5x = 0

Simplified, we have X² - 5X - 10 = 0

C) X² - 9x + 10 = 32

Collect like terms and we have:
X² - 9X - 22 = 0

D) 6x(x - 8) = 29

Expand the bracket and collect like terms such that the equation is equal to zero and we have

6X² - 48x - 29 = 0

Using Desmos Graphing, the following results can be obtained showing that x intercepts at:

(a) (-5.196, 0) & (5.196, 0)

(b) (-1.531, 0) & (6.531, 0)

(c) (-2, 0) & (11, 0)

(d) (-0.564, 0) & (8.564, 0)

Learn more about graphed equations at:
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The equation of the line of best fit of Hannah's dataset represented by the graph is y = 1.25x  - 1

From the given figure, we have the following points on the line of best fit:

(x,y) = (2,1.5) and (4,4)

Start by calculating the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{4 -1.5}{4 - 2}[/tex]

Evaluate the differences

[tex]m = \frac{2.5}{2}[/tex]

Divide

m = 1.25

The equation is then calculated using:

y = m(x - x₁) + y₁

So, we have:

y = 1.25(x - 2) + 1.5

Open the bracket

y = 1.25x - 2.5 + 1.5

Evaluate

y = 1.25x  - 1

Hence, the equation of the line of best fit is y = 1.25x  - 1

Read more about linear regression at:

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textsf{Let's calculate the surface area of given right prism} [/tex]

[tex] \textbf{Area of Triangles :} [/tex]

[tex] \textsf{Since there are two triangles, } [/tex]

[tex] \textsf{Area of Triangles = 96 × 2 = 192 cm²} [/tex]

[tex] \textbf{Now, calculate the Areas of rectangles :} [/tex]

[tex] \textsf{Now add them all :} [/tex]

Answer:

Step-by-step explanation:

(16+12+20)*10+16*12= 48*10+192+480+192=672 c.m. squared

Answer:

y = 3x - 6

Step-by-step explanation:

The line here is parallel

Equation of line

Answer:

The value of x = -1/2

Step-by-step explanation:

=> 10(2x-4)=100x

=> 20x - 40 = 100x

=> -40 = 100x - 20x

=> -40 = 80x

=> -40/80 = x

=> -1/2 = x

Answer:

Your answer is  x=-13/3

Step-by-step explanation:

RS and QT are equal knowing this your equation would be x=4x+13. you get -3x=13 when 4x get cancelled out, divide both side by 3 and you get -13/3

Answer:

a) growth b) decay

Step-by-step explanation:

In the function f (x) = b^x when b > 1, the function represents exponential growth.

In the function f (x) = b^x when 0 < b < 1, the function represents exponential decay.

a)b=2 > 1 this function growth

b)b=0.5 < 1 this function decay

Answer:

The side lengths will form a triangle because 6+4 > 7

Step-by-step explanation:

For side lengths, the two smallest sides (ex. 6 and 4) must have a greater sum than then highest side length. Since 6+4 is greater than 7, it creates a triange. If it would have been 5+2 it would not have worked because it needs to be greater than, not less than or equal to.

0.765 (100) + .06 (.0765 x 100)

76.5  + .06 (76.5)  

76.5 + 4.59 = 81.09    Chris will pay $81.09

A better way ( if you don't care to know the tax just the bottom line of what it will cost) would be to do:

0.765x x 1.06 = 76.5 x 1.06 = $81.09 too.

Why the 1 in front of the .06?  The one includes the price of the coat so you don't have to add the tax on after.

Think about it like this. When you buy something you pay (even with an employee

discount) for all of it (100%) + the tax (in this case, it's 6%)  So you pay 106% of the cost of the item.  106% = 1.06

Answer:

20 feet up

Step-by-step explanation:

its quite simple really, just add 15+5 and you get 20

Answer:

- 5/2

Step-by-step explanation:

Arrange this line equation into y = mx + b form   m = slope

 y = 2/5x + 12/5    

  then perpindicular line = - 1/m   = - 1/ (2/5) = - 5/2

Answer:

The answer is 96

Step-by-step explanation:

Just write (16 x 6) x 1 = v and solve it by doing 16 x 6 and the answer would be 96 cm for the volume.

Answer:

A. [tex](x,y)[/tex] ⇒ [tex](kx, ky)[/tex]

Step-by-step explanation:

Because that's the dilation equation or formula

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

  about 520,000

Step-by-step explanation:

Following directions, we evaluate the equation by putting the value where the variable is and doing the arithmetic.

__

The value of x will be the number of days between May 26 and May 12. That value is ...

  x = 26 -12 = 14

Then the number of mosquitos is estimated to be ...

  y = 230,000(1.06^14) ≈  520,008

About 520,000 mosquitos will inhabit the city on May 26.

_____

Additional comment

Typically, an "estimate" is one or two significant figures. So, 520,000 is a reasonable estimate. 520,008 has more precsision than can be justified.

Answer:

58.5

Step-by-step explanation:

The set of data for which the mean is most likely greater than the median is the data given by first histogram.

A skewed distribution is a distribution having bias on one of the two sides (either left or right).

It is like leaning mountain on one side (left or right).

A left skewed graph have elongated tail on the left side of the main mountain like figure. The mountain like figure is after that elongated tail. It is also called negatively skewed graph.

This graph usually has mean < median < mode

A right skewed graph has elongated tail on the right side of the main mountain like figure. The mountain like figure is before that elongated tail. It is also called positively skewed graph. This graph usually has:

Mode < median < mean.

For this case, we can try to find the histogram which is right skewed because for right skewed graphs, the mean of the data is greater than the median.

For being right skewed, the histogram needs to be elongated on the right. The elongation on right means the perpendicular axis of the graph (the frequency) has lower and lower values in the right end of the graph.

So, the histogram, which has all values having approx lower frequencies on the right side than any other part of the histogram, has got its mean > median.

We're given these histograms:

    Age                Frequency

0 - 1 years                   1

2 - 3 years                   4

4 - 5 years                   2

6 - 7 years                   0

8 - 9 years                   1

    Age                Frequency

0 - 1 years                   0

2 - 3 years                   3

4 - 5 years                   4

6 - 7 years                   3

8 - 9 years                   0

    Age                Frequency

0 - 1 years                   0

2 - 3 years                   1

4 - 5 years                   2

6 - 7 years                   4

8 - 9 years                   1

    Age                Frequency

0 - 1 years                   2

2 - 3 years                   1

4 - 5 years                   4

6 - 7 years                   1

8 - 9 years                   2

The second and fourth histograms are symmetric, because of symmetric values on its either side of the mid value for 4-5 years old dogs' frequencies. Thus, they're not skewed.

The third histogram is negatively skewed because of high values on right side (the last values in the table belongs to bigger ages, and on the axis for age of dogs, by sign convention, the bigger ages will be on right to the smaller age values) than the smaller values, and smaller values are forming tail on left side. Thus, its negatively skewed distribution.

The first histogram has positively skewed distribution, since at the end, it has very small values and there is mountain like structure on the left side.

Thus, for this histogram, the median  < mean is most likely to be happening. (we still use the word 'likely' since the data is not large enough to apply these approximations of mean and median and mode, as it works better for large data sets).

Thus, the set of data for which the mean is most likely greater than the median is the data given by first histogram.

The graph of the first histogram is attached below.

Learn more about skewed distribution here:

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Answer:

A. The first graph

Step-by-step explanation:

Got it right on an edge test

Have a nice day :)

Answer:

15 cm (to the nearest cm)

Step-by-step explanation:

Circumference of a circle = πd   (where d is the diameter)

Large disc

⇒ circumference = 3.14 × 27.3 = 85.722 cm

Small disc

⇒ circumference = 3.14 × 22.5 = 70.65 cm

Difference between circumferences

= circumference of large disc - circumference of small disc

= 85.722 - 70.65

= 15.072

= 15 cm (to the nearest centimeter)

Answer:

X = 100

Step-by-step explanation: