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Ad libitum [116K]
3 years ago
12

A researcher wants to estimate the mean age of all Business Week readers at a 99% confidence level. The standard deviation of ag

es of all Business Week readors is nine years. The sample size that will yield a maximum error of estimate within three years of the population mean is at least:
A. 60
B. 97
C. 185
D. 8
Mathematics
1 answer:
Natasha2012 [34]3 years ago
5 0

Answer:

A. 60

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

We have to find:

n when M = 3, \sigma = 9. So

M = z*\frac{\sigma}{\sqrt{n}}

3 = 2.575*\frac{9}{\sqrt{n}}

3\sqrt{n} = 9*2.575

Dividing both sides by 3

\sqrt{n} = 3*2.575

(\sqrt{n})^{2} = (3*2.575)^{2}

n = 59.68

We round up, so the correct answer is:

A. 60

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Which Wampanoag leader took a stand against English moving into Indian lands near Plymouth?
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Answer:

A. Metacom

Step-by-step explanation: Metacom, also known as King Philip, leader of the Wampanoag near Plymouth colony, led many other Native Americans into a widespread revolt against the colonists of southern New England in 1675.

6 0
2 years ago
The LCM of 12 and 6 is 6. True or False
elena-s [515]

Answer:

false but Least common multiple (LCM) of 6 and 12 is 12.

7 0
3 years ago
Read 2 more answers
Is 1.7x^2 + 3.5 a cubic polynomial?
devlian [24]

Answer:

No, it is not.

Step-by-step explanation:

This is because if you look at the expression, there is no term that is raised to the cube root. As a result, this isn't a cubic polynomial. However, this would be a quadratic polynomial cause the highest raised exponent is 2, which is the number for quadratic.

If you liked my response, please consider giving me a Brainliest! Thanks!

8 0
3 years ago
It takes 40 units of maple sap to produce 1 ounce of maple syrup. Jane and her family are bottling maple syrup in 20 -ounce bott
Setler [38]

Answer:

10,800

-1200

Step-by-step explanation:

Given that :

40 units of maple sap = 1 ounce of maple syrup

Using a 20 - ounce bottle, 2 ounces of air is left

Ounces of actual syrup = (20 - 2) = 18 ounces

Number of maple sap required to fill 15 bottles :

Number of maple saps required to fill 18 ounces bottle :

40 units = 1 ounce

x = 18 ounces

Hence, for 18 ounces of maple syrup :

(40 * 18).= 720 units of maple sap

For 15 bottles of 18 ounces maple syrup:

(720 * 15) = 10,800 units of maple sap

If they had filled each bottle to the top:

(40 * 20 * 15) = 12000 units of maple sap

10,800 - 12000 = - 1200 units of maple sap

5 0
3 years ago
Jason ran 5/7 of the distance around the school track. Sara ran 4/5 of Jason's distance. What fraction of the total distance aro
masha68 [24]
Jason: 5/7
Sara: 4/5

Think of it this way: if the total track is a mile, and Jason runs 5/7 of it,  he has run 5/7 of a mile. Then Sara runs 4/5 OF 5/7, with "of" meaning "times," so she runs 4/5 x 5/7, which gives you 20/35, which simplifies to 4/7. You can also think of Sara's distance as 80 percent of Jason's. If she runs "80 percent of the sevenths that Jason ran," that means she ran 4 out of his 5 sevenths.
7 0
3 years ago
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