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MArishka [77]
3 years ago
5

For each of the following sampling situations, identify the population as exactly as possible. That is, say what kind of individ

uals the population consists of and say exactly which individuals fall in the population. If the information given is not complete, complete the description of the population in a reasonable way.
a. A college has changed its core curriculum and wants to obtain detailed feedback information from the students during each of the first 12 weeks of the coming semester. Each week, a random sample of 5 students will be selected to be interviewed.
b. The American Community Survey (ACS) will replace the census "long form" starting with the 2010 census. The main part of the ACS contacts 250,000 addresses by mail each month, with follow-up by phone and in person if there is no response. Each household answers questions about their housing, economic, and social status.

c. An opinion poll contacts 1161 adults and asks them, "Which political party do you think has better ideas for leading the country in the twenty-first century?"
Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

Here are the options that complete the questions;

For question 1. (a):

A) The population is all current students.

B) The population is students in the college during the first 12 weeks of the coming semester.

C) The population is the 60 students selected during the first 12 weeks of the coming semester.

D) The population is students in the coming semester.

For question 2. (b):

A) The population is 250,000 households.

B) The population is all U.S. households.

C) The population is all households that are being contacted by the ACS.

D) The population is U.S. households in 2010.

For question 3. (c):

A) The population is 1161 U.S. adults that supply information.

B) The population is all adult residents of the U.S.

C) The population is political parties.

D) None of the above.

Answer:

<u>For question 1. (a) = B) The population is students in the college during the first 12 weeks of the coming semester.</u>

<u>For question 2. (b): = D) The population is U.S. households in 2010.</u>

<u>For question 3. (c): = B) The population is all adult residents of the U.S.</u>

Explanation:

a) We can conclude that the research population would consist of students in the college during the first 12 weeks of the coming semester because students that failed to register for the 12 weeks of the coming semester are would not be counted in the random sample selection process.

b) The American Community Survey (ACS) as the name implies serves the entire American community; thus the population of the census is all U.S. households in 2010.

c) Although 1161 adults are been contacted, they do not represent the entire population, but just a sample out of <u>all adult residents of the U.S.</u>

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The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi
Rom4ik [11]

Answer:

<em>The base is 24 cm long.</em>

Step-by-step explanation:

<u>Equations</u>

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

\displaystyle A=\frac{bh}{2}

\displaystyle A=\frac{(h+9)h}{2}

And its value is 180:

\displaystyle \frac{(h+9)h}{2}=180

Multiplying by 2:

(h+9)h=360

Operating:

h^2+9h-360=0

Factoring:

(h-15)(h+24)=0

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

7 0
3 years ago
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A number that is no more than 20 is less than
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You have two coupons, one is for $25 off and the other is for 25% off. When would you use the $25 off coupon? When would you use
Brut [27]

Answer:

If I had two coupons, one for $ 25 off and the other for 25% off, to determine when I would use the $ 25 off coupon and when I would use the 25% off coupon, and when it would not matter which coupon I would use, I must carry out the following reasoning:

The $ 25 off coupon is a flat coupon, that is, it does not adapt to the price of the thing to be paid, but rather maintains its value constantly. Therefore, its utilization will be higher if those $ 25 represent a high value compared to the initial price of the product: if the thing is worth $ 50, a $ 25 off coupon represents half its value, while if the thing is worth $ 500, that same coupon will only represent 5% of it. Therefore, I would use the coupon for things that are worth between $ 25 and $ 99.

Instead, the 25% off coupon is a variable coupon, which is adapted according to the value of the product. In other words, a discount will always be made for 25% of said value: if the product is worth $ 80, the discount will be $ 20 (80 x 0.25), while if the product is worth $ 1,000, the discount will be $ 250 (1000 x 0.25 ). Therefore, I would use the coupon for products with a price greater than $ 100, that is, from $ 101 and up.

Finally, since 25% of $ 100 is $ 25, if you buy something of that value, it would be indistinct to use either of the two coupons.

8 0
3 years ago
What is the 11th term of the geometric sequence 3,6,12,24,…?
Mamont248 [21]

Answer:

The 11th term is 3072.

Step-by-step explanation:

First, find the common ratio and the first term. The common ratio is 6/3 or 2. The first term is 3.

Use the direct formula, xi=a*r^i-1, to find the eleventh term. a is first term, and i is the index or the number of the term.

Substitute: x11=3*2^(11-1)

Or x11=3*2^10

So x11 is 3072

5 0
3 years ago
rachel got prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store
Tanya [424]

Answer:

46 yards.

Step-by-step explanation:

Subtract the new balance from the original balance:

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Therefore, Rachel spent $10.12

Divide the result by the cost of ribbons per yard:

10.12 ÷ 0.22 = 46

Therefore, Racheal bought 46 yeards of ribbon.

5 0
2 years ago
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