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3 years ago

Karleigh walks 5/8 mile to school every day.How far does she walk to school in 5 days

Mathematics

1 answer:

liberstina [14]3 years ago

4 0

Answer:

$3\frac{1}{8}=3.125$ miles

Step-by-step explanation:

We have been given that Karleigh walks 5/8 mile to school every day.

To find the distance walked by Karleigh in 5 days we will multiply distance traveled in one day by total number of days.

$\text{Distance walked by Karleigh in 5 days}=\frac{5}{8}\times 5$

$\text{Distance walked by Karleigh in 5 days}=\frac{25}{8}$

$\text{Distance walked by Karleigh in 5 days}=3\frac{1}{8}=3.125$

Therefore, Karleigh walked $3\frac{1}{8}=3.125$ miles to school in 5 days.

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3 years ago

Seventy-six percent of sunflower seeds will germinate into a flower, and a sample of 800 such sunflower seeds is randomly select

ollegr [7]

Answer:

12.08

Step-by-step explanation:

For each sunflower, there are only two possible outcomes. Either it germinates, or it does not. The probability of a sunflower germinating is independent of other sunflowers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

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This means that $p = 0.76$

Samples of 800:

This means that $n = 800$

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3 years ago

Tell whether the sequence 1/3, 0, 1, -2 ... is arithmetic, geometric, or neither. Find the next three terms of the sequence.

max2010maxim [7]

Answer:

A. neither; 7, -20, 61

Step-by-step explanation:

The sequence 1/3, 0, 1, -2 ...

The difference between the terms are; -1/3, 1, -3......

Looking the difference between consecutive terms in the sequence, we can predict the next differences between the following terms, as the differences form a geometric sequence;

Therefore; -1/3, 1, -3, 9, -27, 81

Thus; the sequence will be;

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Hence the next three terms are; 7, -20, 61

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2 years ago

2. When a large truckload of mangoes arrives at a packing plant, a random sample of 150 is selected and examined for

kirza4 [7]

a) The 90% confidence interval of the percentage of all mangoes on the truck that fail to meet the standards is: (7.55%, 12.45%).

b) The margin of error is: 2.45%.

c) The 90% confidence is the level of confidence that the true population percentage is in the interval.

d) The needed sample size is: 271.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions has the bounds given by the rule presented as follows:

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

The margin of error is given by:

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

The variables are listed as follows:

$\pi$ is the sample proportion, which is also the estimate of the parameter.

z is the critical value.

n is the sample size.

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of $\frac{1+0.90}{2} = 0.95$ , so the critical value is z = 1.645.