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Anettt [7]
3 years ago
11

A consultant for an association of personnel directors wants to find the proportion of clerical personnel that change jobs becau

se they are bored with their work. The consultant queries a random sample of 400 clerical workers who recently changed jobs, 200 of which state that they changed jobs because they were bored. The consultant wishes to prepare a 95% confidence interval for the true proportion changing jobs because of boredom. What is the margin of error for this interval
Mathematics
1 answer:
Vikki [24]3 years ago
5 0

Answer:

the margin of error for this interval is 0.049

Step-by-step explanation:

The computation of the margin of error for this interval is shown below;

Given that

n = 400

x = 200

Now

p = x ÷ n = 200 ÷ 400 = 0.5

Now the margin of error is

= z \times \sqrt{\frac{p(1-p)}{n}} \\\\1.96  \times \sqrt{\frac{0.5 \times 0.5}{400} }

= 0.049

Hence the margin of error for this interval is 0.049

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omeli [17]

Answer:

Cube 1: 3375 cubed inches, 1350 inches squared.

Cube 2: 512 cubed inches, 384 inches squared.

Step-by-step explanation:

Formula for Volume of a Cube:  V=s^3\\ (s - side length)

Formula for Surface Area of a Cube: SA=6s^2 (s- side length)

<h3>For Cube 1:</h3>

The side length's 15 inches.

Find the volume:

V=15^3\\\rightarrow 15*15*15=3375\\\boxed {V=3375}

The volume of cube one is 3375in³.

Find the surface area:

SA=6(15)^2\\\rightarrow 15^2 = 225\\SA = 6 * 225\\\boxed {SA=1350}

The surface area of cube 1 is 1350in².

<h3>For Cube 2:</h3>

The side length's 8 inches.

Find the volume:

V=8^3\\\rightarrow 8*8*8= 512\\\boxed {V=512}

The volume of cube two is 512in³.

Find the surface area:

SA=6(8)^2\\\rightarrow 8^2=64\\SA=6*64\\\boxed {SA=384}

The surface area of cube 2 is 384in².

<em>Brainilest Appreciated. </em>

3 0
3 years ago
What is the factor of 12
balu736 [363]

The factor of 12 is 1, 2 , 3 , 4 , 6 , 12

Hope it helps.

7 0
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A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 6 feet
Nikolay [14]
It will be 14 we calculated
8 0
3 years ago
Which method <br> HL<br> Asa <br> Sas <br> Sss<br> Aas pls help
Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

ASA because you have the given angles and sides ≅ and the vertical angles are also ≅

6 0
3 years ago
Read 2 more answers
Karl wants to rent a bike for at most $55. He can rent a bike for $7 per hour plus a $9.50 flat fee. Any portion of an hour is c
Papessa [141]
Answer 6 hours
Reason
7x + 9.50 = 55
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7x = 45.50

Divide both sides by 7 to isolate x
X = 6.5
So he can rent for 6 hours (the .5 would be charged as a full hour per the problem)
5 0
1 year ago
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