ANSWER NEEDED ASAP!According to the table below, what is the probability that the age of a student chosen at random will be 15 or younger?
A) 0.74
B) 0.59
C) 0.56
D) 0.54

Answer:

A

Step-by-step explanation:

The answer is (180,80)

To solve this problem, we have to plot the graph, using a tool. This question relates to an inequality and graphical method is a reliable approach to solve inequality problem.

The given question is an inequality situation where we are asked to use graph to solve.

The data given are

The inequality for this problem is given is as

[tex]12x + 8y > 2500\\x + y < 280[/tex]

Kindly find the attached image as the graph and solution to this problem.

Learn more on graphically solution for inequality here;

https://brainly.com/question/24372553

#SPJ2

Answer: x^3 square root 39x

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

78 pork sliders

Step-by-step explanation:

The food concession owner sold 120 beef, vegetable and pork sliders.

20% were beef.

15% were vegetable.

The percentage of pork sliders sold is:

100 - (20 + 15) = 100 - 35 = 65%

The number of pork sliders sold is therefore:

65/100 * 120 = 78

78 pork sliders were sold.

Answer:

Monthly Loan Payment

Loan Amount (P) = $6,000

Monthly Interest Rate (n) = 0.75% per month [9.00% / 12 Months]

Number of months (n) = 36 Months [3 Years x 12 months]

Monthly Loan Payment = [P x {r (1+r)n} ] / [( 1+r)n – 1]

= [$6,000 x {0.0075 x (1 + 0.0075)36}] / [(1 + 0.0075)36 – 1]

= [$6,000 x {0.0075 x 1.308645}] / [1.308645 – 1]

= [$6,000 x 0.009815] / 0.308645

= $58.89 / 0.308645

= $190.80

Monthly Loan Amortization Schedule

“Therefore, the total interest paid during the first year will be $465.99”

HOPE this example helps

Answer:

897

Step-by-step explanation:

I think it deleted my prior solution because I linked the Wikipedia article for the empirical rule... So to retype this:

We'll be using the empirical, or 68-95-97.5 rule of normal distributions which says that 68% of data in a normal distribution is within 1 standard deviation, 95% is within two, and 97.5% is within three. Graphical representations of the rule can be found online and may be helpful to understand it more easily.

The first part of the problem is relatively straightforward, to get the two pieces within one standard deviation, that's 68% of the total population of 1100. So, 0.68*1100=748.

The second part is a bit trickier, since it is just the part of the second standard deviation out that is above the mean. To get this, we need to think about the difference between one standard deviation out and two, percentage-wise. Since two standard deviations out is 95% of the data, the difference between one and two is 95%-68%, or 27% of the data. However, since we only want the upper half of that, we'll just be using 13.5%. So our second piece is 13.5% of 1100, or 148.5.

Add together our two pieces, 748+148.5=896.5 and round up to 897.

Answer:

(2,0)

Step-by-step explanation:

From the information the first equation is y = 0.5 x  - 1 and the the line through (3,1) and (-5,-7) is  

y = x - 2  .   From those two equations you get

x - 2 = 0.5 x -1     and     x = 2  , y = 0.  So  it is the last point.   (2,0)

Answer:

D. (2,0)

Step-by-step explanation:

Answer:

6 different isosceles triangles.

Step-by-step explanation:

This is a AMC 8 2005 question. (You can search up their solution)

There are 6 triangles:

6, 6, 11

7, 7, 9

8, 8, 7

9, 9, 5

10, 10, 3

11, 11, 1

There are only 6 because if there was an isosceles triangle with side lengths such as 5, 5, 13 the triangle would be impossible since the two smaller side lengths must sum up to be greater than the longest side length.

The number of isosceles triangles has integer side lengths and a perimeter of 23 is 6.

In an isosceles triangle, two sides and angles are equal. The sum of the angle of the triangle is 180 degrees.

Given

Isosceles triangles have integer side lengths and a perimeter of 23.

Let x be the isosceles side and y be the other side. Then

[tex]\rm 2x + y = 23[/tex] ...1

And we know that the sum of the two sides of the triangle must be greater than the third side. Then

[tex]\rm 2x >y[/tex] ...2

From equations 1 and 2, we have

x > 5.75

But the value of x is an integer then x will be 6. Then

All possibilities are

[tex]6 + 6 > 11\\\\7 + 7 > 9\\\\8+8>7\\\\9+9>5\\\\10+10>3\\\\11+11>1[/tex]

Thus, the number of isosceles triangles has integer side lengths and a perimeter of 23 is 6.

More about the Isosceles triangle link is given below.

https://brainly.com/question/7915845

Answer:

left, 4 units

Step-by-step explanation:

This indicates a shift to the left of 4 units. We know that it's left because the +4 is in the exponent and, it's a +4 not -4.

Hey there! I'm happy to help!

The words at most means that there is a maximum point that is included as a probability. This means that we will use the less than or equal sign (≤) in our inequality.

Let's write this all out as an inequality now. We will use i to represent how much the baby ate.

1,800≤2i+250  

This inequality shows that Alexandria's 1,800 calories is at most 250 more than twice those of her baby sister. Therefore, the correct option is A. 1,800≤250+2i .

Have a wonderful day!

Answer:

The correct option is A. 1,800≤250+2i.

Answer

[tex]P= 0.144[/tex] ways

the coin can land tails either exactly 8 times or exactly 5 times in

[tex]0.144[/tex] ways

Step by step explanation:

THis is a binomial distribution

Binomial distribution gives summary of the number of trials as well as observations as each trial has the same probability of attaining one particular value.

P(9)=(14,9).(0.5)⁹.(0.5)¹⁴⁻⁹

p(3)=(14,3).(0.5)⁹.(0.5)¹⁴⁻³

p=(9)+p(3)

p=C(14,9)(0.5)¹⁴ + C(14,3). (0.5)¹⁴

P= (0.5)¹⁴ [C(14,9) + C(14,3)]

P= (0.5)¹⁴ [2002 * 364]

P= 1/16384 * (2002 +364)

P= 91091/2048

P= 0.144

Hence,the coin can land tails either exactly 8 times or exactly 5 times in

[tex] 0.144[/tex] ways

Answer:

Weak negative correlation

Step-by-step explanation:

The scatter plot shown in the graph above indicates a negative correlation between the x-variables and the y-variables, because, as the variables on the x-axis increases, the variables on the y-axis decreases.

Also, the if we are to draw a line of best fit to connect some of the data points on a straight line, we would see that a number of the data points would be far apart from each other away from the line. The data points are not much clustered around the line of best fit, therefore, this shows that the negative correlation between the variables is a weak one.

The data represented on the scatter plot show a weak negative correlation.

Answer:

the answer is (-4,-18)

Answer:

The vertex is at (-4, -18).

Step-by-step explanation:

f(x) = x^2 + 8x - 2

Covert to vertex form:

f(x) = (x + 4)^2 - 16 - 2

f(x) = (x + 4)^2 - 18.

So the

vertex is (-4,18

Answer:

A  (15/16)

D  (0.45)

E  (1/14)

F  (0)

Step-by-step explanation:

Allowable values for probabilities (p) are numbers greater than or equal to zero and smaller than or equal to one:

[tex]0\leq p\leq 1[/tex]

Therefore you can select answers:

A  (15/16)

D  (0.45)

E  (1/14)

F  (0)

Answer:

0, 1/2, 0.1, 15/16 are the answers

Step-by-step explanation: I don't think negative numbers count as a probability

Answer:

option (c) 4

Step-by-step explanation:

sides opposite to equal angles are equal

so ML = MN

that is 4x = x+3

4x - x = 3

3x = 3

x= 1

ML= 4x = 4*1 = 4 units

MN = x+3= 1+3= 4 units

so answer is option (c) 4

hope this answer help you

Answer:

g(x)

Step-by-step explanation:

The vertex of g(x) as shwon in the graph is located in the point wich coordinates are (3.5,6.25) approximatively

We need to khow the coordinates of f(x) vertex

f(x) = -x² + 4x -5

let a be the leading factor, b the factor of x and c the constant:

The coordinates of a vertex are: ([tex]\frac{-b}{2a}[/tex] , f([tex]\frac{-b}{2a}[/tex]) )

-b/2a = -4/ (-1*2) = 4/2 = 2

f(2)= -2²+4*2-4 = -4+4-4 = -4

obviosly f(x) has a minimum wich less than g(x)'s maximum

Answer:

Step-by-step explanation:

g(x) i think

Answer:

69

Step-by-step explanation:

Since the values in the data set has been ranked already from smallest to largest, as shown in the question.

Then calculate the index,

To find the 36th percentile using the data set,

Multiply k (36/100) by n (25) to reach an index of 9.

Then since the index is whole number,

To calculate percentile according to the 'greater than' method, count the values in the data set from smallest to largest until you reach the number ranked 9th

Which is 69.

Since the value for the 36th percentile must be greater than the first nine values, the 10th ranked value would be the kth (36th) percentile. In this data set, that value is 69.

Alternatively, using the 'greater than or equal to' method, after getting the 9th rank,

Include the ninth-ranked value, (69) in this data set.

The kth (36th) percentile is then calculated by taking the average of that value in the data set (69) and the next ranked value (69). (59 + 69) / 2 = 69.

Answer:

31 adults, 62 children, and 86 students.

Step-by-step explanation:

The seating capacity of the movie theatre = 179

Children's(c) Ticket = $5.00

Student's(s) Tickets = $7.00

Adult's(a) Tickets = $12.00

There are half as many adults as there are children.

The total ticket sales was $1284

We then solve the three resulting equations simultaneously.

c+s+a=179

c=2a

5c+7s+12a=1284

We substitute c=2a into the first and third equation

[tex]2a+s+a=179 \implies s=179-3a\\5(2a)+7s+12a=1284 \implies 22a+7s=1284[/tex]

Substitute s=179-3a into 22a+7s=1284

[tex]22a+7(179-3a)=1284\\22a+1253-21a=1284\\a=1284-1253\\a=31[/tex]

Recall:

c=2a

c=2*31

c=62

Finally:

c+s+a=179

62+s+31=179

s=179-62-31

s=86.

Therefore:

31 adults, 62 children, and 86 students attended the movie theatre.

Answer:

The answer is 5th angle = [tex]\bold{42^\circ}[/tex]

Step-by-step explanation:

Given that pizza is divided into six unequal slices.

Largest slice has an angle of [tex]90^\circ[/tex].

He eats the pizza from largest to smallest.

Let the difference in angles in each slice = [tex]d^\circ[/tex]

1st angle = [tex]90^\circ[/tex]

2nd angle = 90-d

3rd angle = 90-d-d = 90 - 2d

4th angle = 90-2d-d = 90 - 3d

5th angle = 90-3d-d = 90 - 4d

6th angle = 90-4d -d = 90 - 5d

We know that the sum of all the angles will be equal to [tex]360^\circ[/tex] (The sum of all the angles subtended at the center).

i.e.

[tex]90+90-d+90-2d+90-3d+90-4d+90-5d=360\\\Rightarrow 540 - 15d = 360\\\Rightarrow 15d = 540 -360\\\Rightarrow 15d = 180\\\Rightarrow d = 12^\circ[/tex]

So, the angles will be:

1st angle = [tex]90^\circ[/tex]

2nd angle = 90- 12 = 78

3rd angle = 78-12 = 66

4th angle = 66-12 = 54

5th angle = 54-12 = 42

6th angle = 42 -12 = 30

So, the answer is 5th angle = [tex]\bold{42^\circ}[/tex]

Answer:

The answer is "Option C."

Step-by-step explanation:

[tex]y=6x, \ \ y=x, \ \ , y=24,\\[/tex]

In this we calculate two points that are (0,4) and(4,24)

on[0,4]

shell radius=x

height  = 6x-x

            =5x

on[4,24]

shell radius=x

height  = 24x-x

6x=24

x=4

Calculating shell volume by shell method:

[tex]v=\int\limits^b_a {2\pi(radius) \cdot(height)} \, dx \\[/tex]

  [tex]=\int\limits^4_0 {2\pi(x) \cdot(5x)} \, dx +\int\limits^{24}_4 {2\pi(x) \cdot(24-x)} \, dx \\\\=\int\limits^4_0 {10\pi(x^2) dx +\int\limits^{24}_4 {2\pi x(24-x)} \, dx[/tex]

That's why the answer is "Option C".

Answer:

hello your question has some missing parts here is the complete question

A coin is tossed and an eight-sided die numbered 1 through 8 is rolled. Find the probability of tossing tail and then rolling a number greater than 6. The probability of tossing a tail and then rolling a number greater than 6 is? Round to three decimal places as needed

Answer : 0.5,   0.25,  0.125

Step-by-step explanation:

A coin when tossed has only two outcomes which are ( Head or tail )

a)Therefore the probability of tossing a tail = 1/2 = 0.5

A die having eight sides when tossed will have 8 outcomes

B) Therefore the probability of rolling a number greater than 6

p( x > 6) = p(7) + p(8) = 1/8 + 1/8 = 0.25

C) The probability of tossing a tail and then rolling a number greater than 6 is

= p( x > 6 ) * p( tail )

= 0.25 * 0.5 = 0.125

Looks like the function on the right hand side is

[tex]f(t)=\begin{cases}1&\text{for }t<4\\-1&\text{for }t\ge4\end{cases}[/tex]

We can write it in terms of the Heaviside function,

[tex]h(t-a)=\begin{cases}1&\text{for }t\ge a\\0&\text{for }t>a\end{cases}[/tex]

as

[tex]f(t)=h(t)-2h(t-4)[/tex]

Now for the ODE: take the Laplace transform of both sides:

[tex]y'(t)+y(t)=f(t)[/tex]

[tex]\implies s Y(s)-y(0)+Y(s)=\dfrac{1-2e^{-4s}}s[/tex]

Solve for Y(s), then take the inverse transform to solve for y(t):

[tex](s+1)Y(s)=\dfrac{1-e^{-4s}}s[/tex]

[tex]Y(s)=\dfrac{1-e^{-4s}}{s(s+1)}[/tex]

[tex]Y(s)=(1-e^{-4s})\left(\dfrac1s-\dfrac1{s+1}\right)[/tex]

[tex]Y(s)=\dfrac1s-\dfrac{e^{-4s}}s-\dfrac1{s+1}+\dfrac{e^{-4s}}{s+1}[/tex]

[tex]\implies y(t)=1-h(t-4)-e^{-t}+e^{-(t-4)}h(t-4)[/tex]

[tex]\boxed{y(t)=1-e^{-t}-h(t-4)(1-e^{-(t-4)})}[/tex]

Answer:

I think the answer is B, tell me if it is wrong.

Answer:

B

Step-by-step explanation:

Because alternate interior angles are congruent in parallel lines, the angle next to the 25° in the right triangle is 85 - 25 = 60° which makes the other angle in the right triangle 180 - 90 - 60 = 30°. Since they form a straight angle, we can write x + 30 + 85 = 180 → x + 115 = 180 → x = 65°.

Answer:

n = 13

Step-by-step explanation:

24 = 3 (n-5)

3n  - 15 = 24

3n = 24 +15

3n = 39

n = 39/3

n = 13

Answer:

[tex]\boxed{\sf n=13}[/tex]

Step-by-step explanation:

[tex]\sf 24=3(n-5)[/tex]

[tex]\sf Expand \ brackets.[/tex]

[tex]\sf 24=3n-15[/tex]

[tex]\sf Add \ 15 \ to \ both \ sides.[/tex]

[tex]\sf 24+15=3n-15+15[/tex]

[tex]\sf 39=3n[/tex]

[tex]\sf Divide \ both \ sides \ by \ 3.[/tex]

[tex]\sf \frac{39}{3} =\frac{3n}{3}[/tex]

[tex]\sf 13=n[/tex]

Answer:

1/5 cup

Step-by-step explanation:

Sugar: water

1             5

We want 1 cup water, so divide each side by 5

1/5 :  5/5

1/5 : 1

There is 1/5 cup sugar to 1 cup water

Answer:

Step-by-step explanation:

In a pictogram, data can be arranged as follows:

Answer:

h = 7 degrees

Step-by-step explanation:

To find h, we know that it is positive because it increases in value, not decreases:

h = 65 - 58

h = 7

Answer:

h = 7°F

Step-by-step explanation:

58 + h = 65

h = 65 - 58

h = 7

Check:

68 + 7 = 65

Answer:

  c is either 25.4 or 1.1

Step-by-step explanation:

The Law of Sines is used to find sides and angles when you have a side and its opposite angle. Since the given angle is not opposite the longest given side, there are two possible solutions.

a) sin(B)/b = sin(A)/a

  sin(B) = (b/a)sin(A) = 14/13·sin(19°) ≈ 0.350612

  B = arcsin(0.350612)   or   180° -arcsin(0.350612)

  B = 20.525°   or   159.475°

Then angle C is ...

  C = 180° -A -B = 161° -B = 140.475°   or   1.525°

__

Side c can be found from ...

  c = sin(C)·a/sin(A)

For C = 140.475°, ...

  c = sin(140.475°)·39.9302 ≈ 25.4

For C = 1.525°, ...

  c = sin(1.525°)·39.9302 ≈ 1.1

The length of side c could be 25.4 or 1.1.