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2 years ago

The mixed number 6 7/8 is equal to which improper fraction?

Mathematics

1 answer:

Monica [59]2 years ago

6 0

Answer:

A.) 55/8

Step-by-step explanation:

To make 6 7/8 an improper fraction, multiply the whole number by the denominator and add the result to the numerator.

That’s

6 x 8 = 48

48 + 7 = 55

Also, the denominator of the mixed number still remains the denominator of the improper fraction.

That’s

55/8

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Answer:

The sample size needed is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Estimate the sample size needed if no estimate of p is available so that the confidence interval will have a margin of error of 0.02.

We have to find n, for which M = 0.02.

There is no estimate of p available, so we use $\pi = 0.5$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.02})^{2}$

$n = 2401$

The sample size needed is 2401.

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What is the answer to question 41

Nina [5.8K]

Answer:

an = 6 +5(n-1)

an = 1 +5n

Step-by-step explanation:

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an =a1 +d(n-1)

where a1 is the 1st term and d is the common difference

an = 6 +5(n-1)

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a. The reason why this question is a binomial experiment is based on the fact that it is made up of an independent sample, it has a number that is fixed and a probability.

Each event is made up of two outcomes and they are random with the same success rate.

<h3>b. How to solve probability that exactly 5 had a bachelor</h3>

we have the following data n = 12, p = 0.27 and k = 5

We have to use the function to solve electronically

binompdf(n,p,k)

input the values

= binompdf(12,0.27,5)

This gives us

= 0.1255

<h3>(C) Probability that fewer than 5 have bachelor</h3>

We use the formula below

= binompdf(12,0.27,5-1)

This is = 0.7984

D. Probability of at least 5

1 - probability of fewer than 5

= 1 - 0.7984

= 0.2016

How to solve for the Mean = n*p

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Mean = 12*0.27 = 3.24

and

standard deviation = √npq

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= 0.73

sd = √12*.27*.73

= 1.54

Read more on binomial experiment here:

brainly.com/question/9325204

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