Pleaseeeeee help <br><br> 2x+7y=-5;(a,1)

What is the prime factorization of 91?

hram777 [196]

Answer:

The factors of 91 by prime factorization are 1, 7, 13 and 91. Here, 7, and 13 are the prime factors of 91.

Step-by-step explanation:

6 0

3 years ago

Based on historical data, your manager believes that 37% of the company's orders come from first-time customers. A random sample

fomenos

Answer:

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

37% of the company's orders come from first-time customers.

This means that $p = 0.37$

A random sample of 225 orders will be used to estimate the proportion of first-time-customers.

This means that $n = 225$

Mean and standard deviation:

$\mu = p = 0.37$

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.37*0.63}{225}} = 0.0322$

What is the probability that the sample proportion is between 0.26 and 0.38?

This is the pvalue of Z when X = 0.38 subtracted by the pvalue of Z when X = 0.26.

X = 0.38

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

By the Central Limit Theorem

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

$Z = \frac{0.38 - 0.37}{0.0322}$

$Z = 0.31$

$Z = 0.31$ has a pvalue of 0.6217

X = 0.26

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

$Z = \frac{0.26 - 0.37}{0.0322}$

$Z = -3.42$

$Z = -3.42$ has a pvalue of 0.0003

0.6217 - 0.0003 = 0.6214

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

5 0

3 years ago

You are graphing Rectangle ABCD in the coordinate plane. The following are three of the vertices of the

egoroff_w [7]

Are you looking for D on the graph? if so, then the final coordinate to complete the rectangle is (-2,-8)

3 0

4 years ago

Pls help with 19 due in 15 mins

umka21 [38]

Answer:

the first question is 120. I cant see other options for the second question. The third question is 12.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The life expectancy of a typical lightbulb is normally distributed with a mean of 3,000 hours and a standard deviation of 38 hou

blagie [28]

You'll have to work out the area under the normal curve that maps to the range 2975-3050. So we have to scale the numbers to the world of the standard normal curve.

Step 1: subtract the mean, so that 0 is our mean. This means the range changes to -25..+50. (can you see that I subtracted 3000?)

Step 2: Divide by the standard deviation 38, so that the new sd becomes 1.
This means our range becomes -0.66 to 1.32.

Now we have values that we can lookup in the standard normal table. This has to happen in two steps. First we lookup the probability for Z < 1.32, then we subtract the probability for Z<-0.66.

0.9066 - 0.2546 = <span>0.652 or 65.2%</span>

8 0

3 years ago

Pleaseeeeee help 2x+7y=-5;(a,1)