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Anarel [89]
3 years ago
9

The business college computing center wants to determine the proportion of business students who have personal computers (PC's)

at home. If the proportion differs from 30%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 2.5. Find the P-value for a two-tailed test of hypothesis.
Mathematics
1 answer:
Kipish [7]3 years ago
8 0

Answer:

The appropriate answer is "0.0124".

Step-by-step explanation:

Given:

Test statistics,

z = 2.5

By using the z-table,

p value for one tailed test will be:

= 0.0062

For two-tailed test,

⇒ p \ value = 2\times 0.0062

                 =0.0124

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The length of a rectangular poster is 9 more inches than half its width. The area of the poster is 72 square inches. Solve for t
Kipish [7]

The dimensions of the rectangle will be 6 inches and 12 inches.

<h3>What is the area of the rectangle?</h3>

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L × W square units

The length of a rectangular poster is 9 more inches than half its width.

L = W/2 + 9

The area of the poster is 72 square inches. Then we have

72 = L × W

72 = (W/2 + 9) × W

144 = (W + 18) × W

144 = W² + 18W

W² + 18W - 144 = 0

Then the factor of the equation will be

W² + 18W - 144 = 0

W² + 24W - 6W - 144 = 0

W(W + 24) - 6(W + 24) = 0

(W + 24)(W - 6) = 0

W = -24, 6

The width of the rectangle is 6 inches. Then the length of the rectangle will be

L = 6/2 + 9

L = 3 + 9

L = 12 inches

The dimensions of the rectangle will be 6 inches and 12 inches.

More about the area of the rectangle link is given below.

brainly.com/question/20693059

#SPJ1

4 0
2 years ago
(1) Solve this system using the substitution method: y = 2x – 3; y = (1/2)x - 4
Darya [45]

Answer:

X=2

Step-by-step explanation:

y= 2x- 3

1/2x= 2x-3

1/2x-2x= -3

x-4x= 2*-3

-3x=-6

x=2

8 0
3 years ago
Find two numbers whose product is 22 and whose sum is 13.
aleksandrvk [35]

Answer:

2 and 11

Step-by-step explanation:

Let's start by calling these two numbers x and y. Now, you can set up the following system of equations:

x*y=22

x+y=13

You can rearrange the following equation to be x=13-y, and substitute into the first.

(13-y)*y=22

-y^2+13y=22

y^2-13y+22=0

y=2 or 11

x=11 or 2

Hope this helps!

7 0
3 years ago
Read 2 more answers
Which is a correct classification for the triangle?
matrenka [14]
The correct answer is Right triangle
8 0
3 years ago
Read 2 more answers
A plane travels at a rate of 425 miles per hour. Write an expression to show the distance it travels, if t represents hours.
Anni [7]
D=425t

d is in units of miles

3 0
4 years ago
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