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Delicious77 [7]
2 years ago
6

A program exists to encourage more middle school students to major in math and science when they go to college. The organizers o

f the program want to estimate the proportion of students who, after completing the program, go on to major in math or science in college. The organizers will select a sample of students from a list of all students who completed the program. Which of the following sampling methods describes a stratified random sample? (A) Select all female students on the list. (B) Randomly select 50 students on the list. (C) Randomize the names on the list and then select every tenth student on the randomized list. (D) Randomly select 25 names from the female students on the list and randomly select 25 names from the male students on the list. (E) Randomly select 50 students on the list who are attending college.
Mathematics
1 answer:
matrenka [14]2 years ago
7 0

Answer:

Item (D)

Step-by-step explanation:

In the stratified random sample we would divide our population into homogeneous groups / strata and then  we randomly select the individuals in each group / stratum.

In general, when comparing with the simple  random sample, we realize that stratified random sampling has the advantage of increasing accuracy and decreasing  variability.

In the question, we have two strata: female students and male students. On each one of the  strata, a random sample of 25 names was made in the list.

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2 years ago
Two buses leave towns 304 miles apart at the same time and travel toward each other. One bus travels 14 mih slower than the othe
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Answer:

The faster bus moves at 83mi/h and the slower one moves at 69mi/h.

Step-by-step explanation:

Let's define:

R₁ = rate of bus 1, this is the faster one.

R₂ = rate of bus 2, this is the slower one.

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Now we know that:

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If we add the distances that both busses travel in 2 hours, it should be equal to the initial distance between the buses, then:

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The first step is to replace the first equation in the second one, to get:

R₁*2h + (R₁ - 14mi/h)*2h = 304 mi

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R₁*2h + R₁*2h - 14mi/h*2h = 304 mi

R₁*4h - 28mi = 304mi

R₁*4h = 304mi + 28mi = 332mi

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R₂ = R₁ - 14mi/h = 83mi/h - 14mi/h = 69 mi/h

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Answer:

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