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2 years ago

Based on the table, how many boys who prefer soccer would you

Mathematics

1 answer:

Citrus2011 [14]2 years ago

5 0

Answer:

Option B) 100

Step-by-step explanation:

we know that

For a total number of 80 students , the number of boys that prefer soccer is equal to 10 (based on the table)

using proportion

Find out the number of boys that prefer soccer for a total number of 800 students

$\frac{80}{10}=\frac{800}{x}\\\\x=800(10)/80\\\\x=100$

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Which of the following estimates at a 95% confidence level most likely comes from a small sample?

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The correct answer is:

A) 60% ± 18%.

Explanation:

In a confidence interval, the margin of error is given by z*(σ/√n), where σ is the standard deviation and n is the sample size.

First we find the value of z:

We want a 95% confidence level; 95% = 95/100 = 0.95.

To find the z-score, we first subtract this from 1:
1-0.95 = 0.05.

Divide by 2:
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Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.

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This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.

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2 years ago

Factor completely. 18b−32 Enter your answer in the boxes. ___(___)

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To factor completely 18b - 32, we factor out the common factor of the two terms and divide each of term by the common factor.

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A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like alg

Yuki888 [10]

Answer:

Step-by-step explanation:

Let x be the number of students that like both algebra and geometry. Then:

1. 45-x is the number of students that like only algebra;

2. 53-x is the number of students that like only geometry.

You know that 6 students do not like any subject at all and there are 75 students in total.

If you add the number of students that like both subjects, the number of students that like only one subject and the number of students that do not like any subject, you get 75.

Therefore,

$x+45-x+53-x+6=75.$

Solve this equation:

$104-x=75,\\\\x=104-75,\\\\x=29.$

You get that:

29 students like both subjects;

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<h3>The correct choice is D.</h3>

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