Unit 7: Polynominals & Factoring homework 5: factoring polynominals

The same brand of jelly beans comes in two sizes a 10 ounce bag for $1.99 and an 18 ounce bag for $2.99. Which size is the bette

dimaraw [331]

Find the unit costs and compare them:

$1.99

---------- = $0.199/oz

10 oz

$2.99

-------------- = $0.17/oz

18 oz

Clearly, the 18 oz bag for $2.99 is the better buy, at $0.17/oz versus $0.199 oz for the 10 oz bag for $1.99.

3 0

2 years ago

A food scientist takes a random sample of 25 cereals in order to test the claim that the mean fiber content is less than 2.5 gra

Jlenok [28]

Answer:

Choice A: there is insufficient evidence to conclude that the mean for the fiber content is less than 2.5 gms.

Step-by-step explanation:

From the graphs given the more appropriate is one sample t- test

One sample t- test is used and the results are

Hypothesis Test Fiber

Sample Mean 2.62

Sample St. Dev 3.492

Degrees of Freedom 24

t- test statistic 0.1718

p- value 0.5675

the critical region for this test at ∝= 0.05 is t < -1.711

There is not enough evidence to reject the null hypothesis.

Since the calculated t= 0.1718 does not fall in the critical region the null hypothesis is accepted that the mean fiber content is not less than 2.5 grams.T

6 0

2 years ago

What is 22.47 rounded to the nearest tenth

lorasvet [3.4K]

22.50 is your answer

4 0

3 years ago

Read 2 more answers

A pet store has 5 puppies, including 2 poodles, 2 terriers, and 1 retriever. Rebecka and Aaron, in that order, each select one p

kondor19780726 [428]

Answer:

1/4

Step-by-step explanation:

Rebecka already chose a retriever, so the puppies left for Aaron to pick are:

2 poodles

2 terriers

1 retriever

Total: 4

Number of retrievers left after Rebecka's pick: 1

p(Aaron picks retriever) = 1/4

8 0

1 year ago

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard

avanturin [10]

Answer:

There is a 92.32% probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct.

Step-by-step explanation:

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.

Central Limit Theorem

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 $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard deviation of 2503 miles.

This means that $\mu = 33208, \sigma = 2503$ .

What is the probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct?

This is the pvalue of Z when $X = 33208+633 = 33841$ subtracted by the pvalue of Z when $X = 33208 - 633 = 32575$

By the Central Limit Theorem, we have t find the standard deviation of the sample, that is:

$s = \frac{\sigma}{\sqrt{n}} = \frac{2503}{\sqrt{49}} = 357.57$

So

X = 33841

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

$Z = \frac{33841 - 33208}{357.57}$

$Z = 1.77$

$Z = 1.77$ has a pvalue of 0.9616

X = 32575

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

$Z = \frac{32575- 33208}{357.57}$

$Z = -1.77$

$Z = -1.77$ has a pvalue of 0.0384.

This means that there is a 0.9616 - 0.0384 = 0.9232 = 92.32% probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct.

4 0

3 years ago