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Sloan [31]
2 years ago
7

Find the P​-value in a test of the claim that the mean IQ score of acupuncturists is equal to​ 100, given that the test statisti

c is z2.00.

Mathematics
1 answer:
klemol [59]2 years ago
7 0

Answer:

P-value = 0.0455

Step-by-step explanation:

In this question, we are concerned with calculating the P- value in a test.

Mathematically we know that;

P-value = 2 * P(Z > |z|)

Please check attachment for complete solution and by step explanation

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What dose 0.07x1.22 eaqual
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0.07 * 1.22

Is equal to 0.0854
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On a coordinate plane, a line and a point are shown. Line G H has points (negative 4, 1) and (2, negative 2). Point J is at (1,
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1,4,5

Step-by-step explanation:

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Simplify: -3(y + 2)^2– 5 + 6y<br> What is the simplified product in standard form?
Ymorist [56]

-3(y²+4y+4) - 5 +6y

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A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square pr
guajiro [1.7K]

Step 1

Find the Volume of the two balls

we know that

the Volume of a sphere is equal to

V=\frac{4}{3} \pi r^{3}

In this problem we have

r=1.5\ in

Substitute

V=\frac{4}{3} \pi 1.5^{3}=4.5\pi\ in^{3}

so

the volume of the two balls is equal

V=2*4.5\pi=9 \pi\ in^{3}

Step 2

Find the volume of a cylinder

we know that

The Volume of a cylinder is equal to    

V=\pi r^{2}h

In this problem we have

r=1.5\ in

h=4*r=4*1.5=6\ in    

Substitute

V=\pi (1.5^{2})(6)=13.5 \pi\ in^{3}

Step 3

Find the amount of wasted space in the cylinder

Subtract the volume of the two balls from the volume of the cylinder

13.5\pi\ in^{3}-9\pi\ in^{3}=4.5\pi\ in^{3}=14.14\ in^{3}    

Step 4

Find the volume of the square prism

The volume of the prism is equal to

V=Bh

where

B is the area of the base of the prism

h is the height of the prism

In this problem we have

B=(2*1.5)^{2}=9\ in^{2} -----> the base is equal to the diameter    

h=4*r=4*1.5=6\ in  

Substitute

V=9*6=54\ in^{3}

Step 5

Find the amount of wasted space in the prism

Subtract the volume of the two balls from the volume of the prism

54\ in^{3}-9\pi\ in^{3}=25.73\ in^{3}  

Step 6

Compare the amount of wasted space

the amount of wasted space in the cylinder is 14.14\ in^{3}

the amount of wasted space in the prism is  25.73\ in^{3}

Find the difference

25.73\ in^{3}-14.14\ in^{3}=11.59\ in^{3}=11.6\ in^{3}

The package that has the least amount of wasted space is the cylinder

therefore

<u>the answer is the option</u>

the cylinder because it has approximately 11.6 in.3 less wasted space than the prism

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2 years ago
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