PLEASE help with thesee

Factor the following polynomial 14c^2+15c

sergeinik [125]

Answer:

c • (15c2 + 14)

Step-by-step explanation:

14c + (3•5c3)

3.1 Pull out like factors :

15c3 + 14c = c • (15c2 + 14)

4 0

4 years ago

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PLZ ANSWER THIS QUESTION!!!!

lions [1.4K]

Answer:

C. Shape with 4 equal sides

Step-by-step explanation:

Shape with 4 equal sides

3 0

3 years ago

Assume that the heights of men are normally distributed with a mean of "71.3" inches and a standard deviation of 2.1 inches. If

Elza [17]

Answer:

0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, 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 normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that the heights of men are normally distributed with a mean of "71.3" inches and a standard deviation of 2.1 inches.

This means that $\mu = 71.3, \sigma = 2.1$

Sample of 36:

This means that $n = 36, s = \frac{2.1}{\sqrt{36}} = 0.35$

Find the probability that they have a mean height greater than 72.3 inches.

This is 1 subtracted by the pvalue of Z when X = 72.3. So

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

By the Central Limit Theorem

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

$Z = \frac{72.3 - 71.3}{0.35}$

$Z = 2.86$

$Z = 2.86$ has a pvalue of 0.9979

1 - 0.9979 = 0.0021

0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.

7 0

3 years ago

Jalen bought 4 bottles of water, 2 bags of cashews, and a fruit salad. The cost of the fruit salad was $5. This expression was

grigory [225]

Answer:

water bottles = 3

Step-by-step explanation:

4x + 2x + 5 = 25

1. you need to get rid of the five, so subtract it from both sides

4x + 2x = 20 2. based on the amount you paid you need to find two multiplication problems that will amount to $20 (4x3= 12 <- - water 2x4=8 <-- cashews)

underlined = cost per item

6 0

3 years ago

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Please help I will give out brainliest

Nitella [24]

Answer:

i)x=0,x=1

ii)

$\frac{2}3} + \frac{\sqrt{40} }{6} \\\frac{2}3}-\frac{\sqrt{40} }{6}$