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wlad13 [49]
3 years ago
8

Write an equation o the line that passes through the given points (-1,7) and (2,-2)

Mathematics
1 answer:
RoseWind [281]3 years ago
7 0

you have to. plot them on a lumber line

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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 CAN SOMEBODY HELP PLEASE I AM BEGGING YOU PLEASE
rusak2 [61]
(3,-1)? i believe that's what it would be
5 0
3 years ago
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Use the dot product to find |v| when v = (-2,-1)<br> a. -1<br> b. -3<br> C. Root 5<br> D. Root 3
Firdavs [7]
Answer
Root 5 for sure
5 0
3 years ago
Which equation has a graph that is a parabola with a vertex at (5, 3)?
yanalaym [24]

Answer:

Its A because when you do (x-5)=0 you add 5 to get x=5 and thats your x value and the 3 for your k is your y value

6 0
3 years ago
Pls zoom in I need help asap
oksano4ka [1.4K]

Answer:

a

Step-by-step explanation:

8 0
3 years ago
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