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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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Do you know What is h(t)=-10t+6
DochEvi [55]

-10t+6=0

-10t=-6

Divide both side by -10

t=3/5

7 0
3 years ago
The original price of a jar of paint is$1.20 the store manager gets a 10 percent discount on orders of at least 50 jars of paint
sleet_krkn [62]

Answer:

$54

Step-by-step explanation:

50 * $1.20 = $60

Before the discount, 50 jars cost $60.

Since the discount rate is 10%, he will pay only 90% of the price since 100% - 10% = 90%.

90% of $60 =

= 90% * $60

= 0.9 * $60

= $54

4 0
3 years ago
Mercedes has a spool containing 15 2/3 inches of ribbon she cut a length of 6 1/2 inch to tie a bow how much ribbon is left on t
Blizzard [7]

Answer: The answer is...

9 1/6

Step-by-step explanation:

Subtract the fractions by first finding a common denominator. Then, write equivalent fractions, subtract the whole numbers and the numerators. Write the answer in simplest form.

15 2/3- 6 1/2

15 4/6 - 6 3/6= 9 1/6

Mercedes has 9  1 /6  inches  of ribbon left.

<em><u>I hope yo have a productive day</u></em>

6 0
3 years ago
Read 2 more answers
What is the value of f(−1) when f(x)=2x+2
mart [117]

Answer:

<h2>f( - 1) = 0</h2>

Step-by-step explanation:

f(x)=2x+2

To find f(−1) , substitute the values of x that's - 1 into f(x). That is for every x in f(x) replace it with - 1

That's

f( - 1) = 2( - 1) + 2 \\  =  - 2 + 2

We have the final answer as

f( - 1) = 0

Hope this helps you

7 0
3 years ago
Given the following functions f(x) and g(x), solve (f + g)(5) and select the correct answer below: f(x)=2x^2-10 g(x)=x+9
steposvetlana [31]

Answer:

\large\boxed{(f+g)(5)=54}

Step-by-step explanation:

f(x)=2x^2-10,\ g(x)=x+9\\\\(f+g)(x)=f(x)+g(x)\\\\\text{Substitute:}\\\\(f+g)(x)=(2x^2-10)+(x+9)=2x^2-10+x+9=2x^2+x+(-10+9)\\\\(f+g)(x)=2x^2+x-1\\\\(f+g)(x)(5)\to\text{put x = 5 to the equation of the function:}\\\\(f+g)(5)=2(5^2)+5-1=2(25)+5-1=50+5-1=54

8 0
3 years ago
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