Suppose cluster sampling were being used to survey MyBook users, whoamount to 28% of the population of the United States. Based on the table
below, which city would be considered the best cluster?

Denver 27%

Honolulu 9%

Miami 16%

Philadelphia 46%

A. Philadelphia

B. Miami

C. Denver

D. Honolulu

Answers

Answer 1

Answer:

The correct option for the city which would be considered as the best cluster is B. Miami, 16% of the population are MyBook users.

What is a survey?

A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.

Now given that,

Amount of population that are MyBook users = 28%

Thus,

Amount of population that do not uses MyBook = 100% - 28% = 72%

Thus, Philaldephia and Denver cannot be percentage of the population who are MyBook users.

Thus, the correct option for the city which would be considered as the best cluster is B. Miami, 16% of the population are MyBook users.

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Answer 2

Answer:

Answer:

The best cluster would be Philadelphia which percentage of 27% is nearly close to 28% of the whole united states population percentage.

Step-by-step explanation:

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Find the remainder when 1 + 2 + 2^2 + 2^3 + ... + 2^100 is divided by 7.Thanks in advance!

Answers

Answer:

Step-by-step explanation:

This is a geometric series so the sum is:

a1 * r^n - 1 / (r - 1)

= 1 * (2^101 -1) / (2-1)

= 2^101 - 1.

Find the remainder when 2^101 is divided by 7:

Note that 101 = 14*7 + 3 so

2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.

By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.

So 2^101 mod 7 = (8 * 4^7) mod 7

= (8 * 4) mod 7

= 32 mod 7

= 4 = the remainder when 2^101 is divided by 7.

So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..

Convert the decimal 0.6333… to a fraction and classify it as either rational or irrational.A. 57⁄9, irrational
B. 57⁄90, rational
C. 63⁄90, rational
D. 63⁄99, rational

Answers

answer B

We assume x= 0.6333

100x = 63.3333

10x= 6.333 33 (subtract it )

----------------------------

90x = 57 ( divide by 90 on both sides)

So x= $(57)/(90)$

Answer : $(57)/(90)$

When we can write a number in fraction form then it is a rational number.

We converted the decimal number into a fraction so it is rational

The answer is B. 57/90, rational.

What fraction of 1 gallon is 5 cups

Answers

5/16.
4 quarts to a gallon. 4 cups to a quart. each cup is 1/16 of a gallon. therefor 5/16

Help with 14? plz thx for your help

Answers

A) is 0.51 B) is 0.85 C) is 3/4 hope this helps :D

the area of a rectangle is 42 square inches and one side is 12 inches long . find the perimeter of the rectangle

Answers

The area is one side times the other side
Make the other side x.
12x=42
x=42/12=3.5
The perimeter is 2x+2y where x and y are sides of the rectangle.
P= 2(3.5)+2(12)=7+24=31 inches
Hope this helps.

Answer:

The area is one side times the other side

Make the other side x.

12x=42

x=42/12=3.5

The perimeter is 2x+2y where x and y are sides of the rectangle.

P= 2(3.5)+2(12)=7+24=31 inches

Hope this helps.

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