How do you do this. can you show me step by step .

A random sample of 625 10-ounce cans of fruit nectar is drawn from among all cans produced in a run. Prior experience has shown

diamong [38]

Answer:

10.57% probability that the mean contents of the 625 sample cans is less than 9.995 ounces.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 10, \sigma = 0.1, n = 625, s = \frac{0.1}{\sqrt{625}} = 0.004$

What is the probability that the mean contents of the 625 sample cans is less than 9.995 ounces?

This is the pvalue of Z when X = 9.995. So

$Z = \frac{X - \mu}{s}$

$Z = \frac{9.995 - 10}{0.004}$

$Z = -1.25$

$Z = -1.25$ has a pvalue of 0.1057

So there is a 10.57% probability that the mean contents of the 625 sample cans is less than 9.995 ounces.

5 0

2 years ago

A business owner issues a paycheck in the amount of two thousand, three hundred fifty-seven dollars and forty-nine cents. What i

vivado [14]

The numerical value of the first check will be $2,357.

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A business owner issues a paycheck in the amount of two thousand, three hundred fifty-seven dollars and forty-nine cents.

Then the numerical amount of this check will be

The numerical value of the check will be

Two thousand, three hundred fifty-seven dollars and forty-nine cents = $2,357.49

The numerical value of the first check will be $2,357.49.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

8 0

1 year ago

Find the common difference of the following sequence.

Darya [45]

You have the correct answer. It is choice B) -1/4

=======================================================

Explanation:

This is because we're adding -1/4 to each term to get the next one. In other words, we're subtracting 1/4 from each term to get the next one.

term2 = term1+(d) = 1/2 + (-1/4) = 1/2 - 1/4 = 2/4 - 1/4 = 1/4
term3 = term2+(d) = 1/4 + (-1/4) = 1/4 - 1/4 = 0
term4 = term3+(d) = 0 + (-1/4) = 0 - 1/4 = -1/4
term5 = term4+(d) = -1/4 + (-1/4) = -2/4 = -1/2

and so on.

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To find the common difference, all we have to do is subtract any term from its previous one.

For example:

d = (term2) - (term1)

d = (1/4) - (1/2)

d = (1/4) - (2/4)

d = (1-2)/4

d = -1/4

The order of subtraction matters, so we cannot say d = term1-term2.

3 0

2 years ago

What is the sum of 6x3+8x2-2x+4 and 10x3+x2+11x+9

AleksAgata [21]

Answer:

16x³ + 9x² + 9x + 13

Step-by-step explanation:

Given

6x³ + 8x² - 2x + 4 and 10x³ + x² + 11x + 9

Sum the 2 expressions by adding like terms, that is

= (6x³ + 10x³) + (8x² + x²) + (- 2x + 11x) + (4 + 9)

= 16x³ + 9x² + 9x + 13

4 0

2 years ago

A football coach set a goal of keeping opposing teams to an average of less than 200 yard. of total offense each game. After thr

faust18 [17]

(701+y)/(3+1)<200

(701+y)/4<200

701+y<800

y<99

So the most yards they can allow in the next game is 98 yards

6 0

3 years ago