What does m = in m/6 + 8=13 with work shown

What times what equals -60 but also adds up to 17?

natulia [17]

20 and -3.

20*-3=-60

20+-3=17

5 0

3 years ago

An Epson inkjet printer ad advertises that the black ink cartridge will provide enough ink for an average of 245 pages. Assume t

Neko [114]

Answer:

35.2% probability that the sample mean will be 246 pages or more

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 normally distributed samples are 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 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.

In this question, we have that:

$\mu = 245 \sigma = 15, n = 33, s = \frac{15}{\sqrt{33}} = 2.61$

What the probability that the sample mean will be 246 pages or more?

This is 1 subtracted by the pvalue of Z when X = 246. So

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

By the Central Limit Theorem

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

$Z = \frac{246 - 245}{2.61}$

$Z = 0.38$

$Z = 0.38$ has a pvalue of 0.6480.

1 - 0.6480 = 0.3520

35.2% probability that the sample mean will be 246 pages or more

4 0

3 years ago

PLEASE HELP ASAP‼️‼️

taurus [48]

C is the answer to your question

5 0

3 years ago

Read 2 more answers

HELLLPPP ME PLEEEASE PLEEASE I BEG U I don't know whisker plots I thought it would be easy buts it's hard I mean making the grap

Step2247 [10]

Whisker plots is not that hard you just have to no the Quartiles
the center of the graph is Q2 the first dot to the left is the lower quartile the last dot to the left is upper quartile so the second dot is Q1 and the 4 dot is Q3

3 0

3 years ago

The mean of a certain set of measurements is 27 with a standard deviation of 14. The distribution of the

Talja [164]

Answer:

Exactly 16%.

Step-by-step explanation:

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.

The mean of a certain set of measurements is 27 with a standard deviation of 14.

This means that $\mu = 27, \sigma = 14$

The proportion of measurements that is less than 13 is

This is the p-value of Z when X = 13, so:

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

$Z = \frac{13 - 27}{14}$

$Z = -1$

$Z = -1$ has a p-value of 0.16, and thus, the probability is: Exactly 16%.

8 0

2 years ago