Suppose that 20% of students at high school A and 18% of students at high school B participate on a school athletic team. Independent random samples of 30 students from each school are selected and asked if they participate on a school athletic team. Let ˆ p A represent the sample proportion of students at school A who participate on a school athletic team and ˆ p B represent the sample proportion of students at school B who participate on a school athletic team.

What is the mean of the sampling distribution of ˆ p A − ˆ p B ?

Answer:

1374

Step-by-step explanation:

delta math

The length of the side k in the given triangle is 1,373.9 cm.

The law of Cosines, also known as Cosine Rule or Cosine Formula basically relates the length of the triangle to the cosines of one of its angles.

Given that, in ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°, we need to find the length of side k,

Using the cosine law,

k² = l²+m² - lmCos169°

= 820²+560²-(820)(560)cos169°
= 1,373.9

Hence, the length of the side k in the given triangle is 1,373.9 cm.

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Answer:

the answer is A which 2(1/7)

Answer:

The answer is b

Step-by-step explanation:

hope it helped bye :)

Answer:

y=-15

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Answer:

12

Step-by-step explanation: 18/3=6 6(2)= 12

Answer:

p = 3 or p = 7

Step-by-step explanation:

Answer:

p²-7p-3p+21=0

p(p-7)-3(p-3)=0

(p-3)(p-7)=0

either

p=3

or

p=7

Answer:

The answer is C, 40.32

Step-by-step explanation:

If you put 6.25 in your calculator times 40.32% you get 2.52. Then you add the 2.52 to 6.25 to get 8.77.

Answer:

-2

Step-by-step explanation:

-4-(-2) = -2

-6-(-4) = -2

Answer:

a)  constant of proportionality is 3/5

b)  3.5cm per 1 minute

c)  21 cm water in trough after 6 min

d)  70 cm

Step-by-step explanation:

d)  21 / 6 = x / 20

    7 / 3 = x / 20    

    2x = 140

    x = 70

Answer:

The solution to the system of equations is:

[tex]x=10,\:y=4[/tex]

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}5x-4y=34\\ -x+8y=22\end{bmatrix}[/tex]

Multiply -x+8y=22 by 5:  -5x+40y=110

[tex]\begin{bmatrix}5x-4y=34\\ -5x+40y=110\end{bmatrix}[/tex]

so adding the equations

[tex]-5x+40y=110[/tex]

[tex]+[/tex]

[tex]\underline{5x-4y=34}[/tex]

[tex]36y=144[/tex]

solve 36y = 144 for y:

[tex]36y=144[/tex]

divide both sides by 36

[tex]\frac{36y}{36}=\frac{144}{36}[/tex]

Simplify

[tex]y=4[/tex]

For 5x-4y=34 plug in y=4

[tex]5x-4\cdot \:4=34[/tex]

[tex]5x-16=34[/tex]

Add 16 to both sides

[tex]5x-16+16=34+16[/tex]

Simplify

[tex]5x=50[/tex]

Divide both sides by 5

[tex]\frac{5x}{5}=\frac{50}{5}[/tex]

Simplify

[tex]x=10[/tex]

Therefore, the solution to the system of equations is:

[tex]x=10,\:y=4[/tex]

Answer:

AA~

Step-by-step explanation:

These triangles are similar but not congruent. One triangle is bigger than the other, meaning none of the side lengths are the same. On the triangles, two angles are given, a 53 degree and a 90 meaning that you would us the AA rule to determine if they are similar. Which they are.

The two triangles are similar triangles using AA postulate.

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Given one of the angles in both the triangles is equal to 53°, the other angle is 90°, which are also the vertical angles to each other. As shown below.

Hence, the two triangles are similar triangles using AA postulate.

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Answer:

26x2,

52xπ

Step-by-step explanation:

The perimeter of this semi-circle with a radius of 26 cm will be 81.64 cm.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let 'r' be the radius of the circle. The circumference of the circle will be

C = 2πr units

The radius of the semicircle is given as,

r = 26 cm

Then the circumference of the semicircle is half of the circle. Then we have

C = 1/2 x 2πr

C = πr

At r = 26 cm, then we have

C = 3.14 x 26

C = 81.64 cm

The perimeter of this semi-circle with a radius of 26 cm will be 81.64 cm.

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Answer:

y = 3x -2

Step-by-step explanation:

The general equation form is;

y = mx + b

where m is the slope and b is the y-intercept

For the equation given;

y = 3x -5

the slope from here is 3

If two lines are parallel, they have equal slopes

This mean that the slope of the line we want to calculate too is 3

Now we can use the point slope format to get the correct equation

y-y1 = m(x-x1)

y+ 5. = 3(x+ 1)

y = 3x + 3 -5

y = 3x -2

Answer:

A

Step-by-step explanation:

Answer:

Say you have y=2x. That is direct variation and will always pass through the origin when graphed. When x is multiplied by a number, the y value will also be changed by that number. If you add a y-intercept and change y=2x to, for example, y=2x+2, the x and the y will no longer be related by a constant ratio.

Step-by-step explanation:

The perimeter of the rectangle is 70cm.

Perimeter is the total length of the sides of a two-dimensional shape.

Perimeter of the square is given by

P = 4a

where,

a is the side length of the square.

P is the perimeter of the square.

Perimeter of the rectangle is given by

P = 2( l + b)

Where,

l is the of the rectangle

b is the breadth of the the rectangle

According to the given question.

We have the perimeter of the square is 20cm.

⇒ 4a = 20

⇒ a = 5cm

⇒ Each side length of the square is 5cm

And a rectangle made of 10 squares.

⇒ length of the rectangle = 5×5 = 25cm

and the breadth of the rectangle = 2 × 5 = 10cm

Therefore, the perimeter of the rectangle = 2(25 + 10) = 2 × 35 = 70cm

Hence, the perimeter of the rectangle is 70cm.

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Answer:

0.08522

Step-by-step explanation:

Answer:

Answer below

Step-by-step explanation:

I really hope it works

Answer:

A. President Millard Fillmore

Answer: x=-6 1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

= 2 and 5

Step-by-step explanation:

( 4 - 7x ) + ( 2x - 2 ) = 0

4 - 7x = 2x - 2 = 0

-7x -2x - 2 + 4 = 0

  -5x   - 2   = 0

-5 x = 0                  or             -2 = 0

x = 5                                       x = 2

Answer:

8

Step-by-step explanation:

Answer:

Candy bars: $13

Step-by-step explanation:

$3 magazine + $13 total of candy bars = $19

Answer:

Train A is 287 tons

Train B is 94 tons

Step-by-step explanation:

My method of solving it may have been a bit different from how you were taught. I divided 381 by 2 to give both trains an equal weight of 190.5 tons. I then divided the difference, 193, by 2 to get 96.5 tons. I subtracted the new difference from the weight of Train B and added it to train A. To double check, you can grab a calculator and see that their weights are equal to 381.

To find the equation of a perpendicular line, you first need to find the negative reciprocal of the slope given. The slope is -1/3, so the slope of the perpendicular line will be 3

Now we just need to find the y intercept using the point (3, 2) and you can plug the coordinates in and then solve for b. Let's see what that looks like.

y=3x+b

2=3*(3)+b

2=9+b

-7=b  So now we know the y-intercept and slope. We just put them together now

y=3x-7

Answer:

  n = - 0.0833

Step-by-step explanation:

Given  expression

             [tex]\frac{-2}{3n } +7 = 15[/tex]

Cross multiplication , we get

           [tex]\frac{-2}{3n } = 15 -7[/tex]

          [tex]-2 = 8 X 3 n[/tex]

  ⇒   [tex]\frac{-2}{24} = n[/tex]

     n = - 0.0833