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Hoochie [10]
3 years ago
11

B.rotation 180

Mathematics
1 answer:
mina [271]3 years ago
4 0

Answer : A. Reflection over the x-axis

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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 HELP!!<br><br> what is the explicit formula for this sequence -7, -4, -1, 2, 5
trasher [3.6K]

Answer:

The explicit formula for the given expression is a_n=-10+3n.

Step-by-step explanation:

The given sequence is

-7, -4, -1, 2, 5

The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.

The first term of the given AP is -7 and the common difference is

-4-(-7)=-4+7=3

The explicit formula for an AP is

a_n=a+(n-1)d

Where, a is first term, d is common difference and n is number of terms.

Substitute a=-7 and d=3 in the above equation.

a_n=-7+(n-1)3

a_n=-7+3n-3

a_n=-10+3n

Therefore the explicit formula for the given expression is a_n=-10+3n.

6 0
3 years ago
Please help me <br><br>Expand ( p + 6 )( p - 3 )​
astra-53 [7]

Answer:

(p^2) + 3p - 18

Step-by-step explanation:

Have a nice day!

3 0
3 years ago
Read 2 more answers
Find the common ratio of the geometric sequence –5,–30, -180,...
Murljashka [212]

Answer:

6

Step-by-step explanation:

You have to find what to multiply by to get to the next term

-30 ÷ -5 = 6

- 180 ÷ -30 = 6

therfore the common ratio is 6

5 0
3 years ago
Read 2 more answers
PLS HELP :(<br><br> Solve the inequality and graph the solution on the line provided.
Travka [436]

Answer:

x\leq -1

Step-by-step explanation:

1. 7x\leq 7-14

2.7x\leq -7

3. divide both sides by 7

4. x\leq -1

Closed circle on -1 and the line goes to the left

4 0
3 years ago
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