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Brums [2.3K]
3 years ago
9

In a certain school, students can choose whether to eat in the school’s cafeteria. A reporter working for the school’s newspaper

polled students on their reactions to changes in the menu at the cafeteria. For each student leaving the cafeteria in one 30-minute time period, the reporter used a coin to determine whether to stop the student and ask how he or she felt about the new menu. In the reporter’s article it was stated that a random sample of the students showed that 89 percent of the school’s student population was happy with the new menu. Which of the following statements is true?
A.Because each student leaving the cafeteria was randomly selected and could choose to answer or not, this is a random sample of the student population, and the 89% is an accurate measurement of the school population’s view of the new menu.

B. Because students self-selected whether to eat in the cafeteria, the sampling method might be biased and the sample might not be representative of all students in the school.

C. The survey would have been more effective if the reporter had collected the data in one 15-minute time period rather than in one 30-minute time period.

D. The survey would have been more effective if students who cared about the food could have called the reporter to tell how they felt about the new menu, so that only students with opinions on the subject would have been surveyed.

E. Because no treatment was imposed on the students eating in the cafeteria, one cannot make any conclusions about the new menu.
Mathematics
1 answer:
rosijanka [135]3 years ago
4 0

Answer:

The statement that is true is B. Because students self-selected whether to eat in the cafeteria, the sampling method might be biased and the sample might not be representative of all students in the school.

Step-by-step explanation:

Because of students can decide if they eat in the cafeteria or not, the sample obtained by the reporter can be extrapolated only to the population of students that actually eat in the cafeteria, not to all students population. To make a conclusion of the degree of conformity of all students population, the poll should have been conducted in a hallway of the school (to get the opinion of all students, not only the ones that go to the cafeteria). In other way, the reporter are loosing the opinion of those students that are not happy with the new menu, and decide not going to the cafeteria.  

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The volume of the toy box is 25688 cubic centimetres

Step-by-step explanation:

The 6 faces of a rectangular prism are rectangles, each two opposite faces are equal in dimensions, its dimensions are L, W, H, so two faces has dimensions L , W, two faces L , H and two faces W , H

The formula of the volume of it is V = L × W × H

∵ The toy box is shaped a rectangular prism

∵ The toy box is 52 cm long

∴ H = 52 cm

∵ The perimeter of one side is 90

- Perimeter of any rectangle is twice the sum of its dimensions

∴ Twice the sum of two dimensions of the side = 90 cm

- Divide it by 2 to find the sum of the two dimensions

∴ The sum of two dimensions = 90 ÷ 2 = 45 cm

The sum of two dimensions is less than the height of the box, that means 45 is the sum of the other two dimensions L and W

∵ L + W = 45

∵ The height of the box is is twice as long as it’s width

∴ H = 2 W

∵ H = 52 cm

∴ 52 = 2 W

- Divide both sides by 2

∴ 26 = W

∴ W = 26 cm

Substitute the value of W in the equation of the sum of the two dimensions to find L

∵ L + 26 = 45

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∴ L = 19 cm

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∴ V = 19 × 26 × 52

∴ V = 25688 cm³

The volume of the toy box is 25688 cubic centimetres

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<u>Given:</u>

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  • SI = x*2*0.05 = 0.1x

<u>Compound interest:</u>

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