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yaroslaw [1]
3 years ago
6

(2a+9b-7).(-8)=help​

Mathematics
2 answers:
Nastasia [14]3 years ago
8 0

Answer:

-16a - 72b + 56

hope that's it

musickatia [10]3 years ago
4 0

Answer:

(-16a)-72b+56

Step-by-step explanation:

Multiply 8 to each number

Hope this helped :)

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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
In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that
solniwko [45]

The probability that a student who does not have a dog has a cat is 7/10.

<h3>What is the probability?</h3>

Probability determines the chances that a random event would happen. The odds that the random event would happen lies between 0 and 1.

The probability that a student who does not have a dog has a cat = number of students that do not have a dog but has a cat / total number of students that do not own a dog

=  7/10.

To learn more about probability, please check: brainly.com/question/13234031

#SPJ1

6 0
2 years ago
What is the slope of the line that passes through the points (0, –7) and (–4, 3)?
Furkat [3]

-5/2 is the slope of thosr points

8 0
3 years ago
3^4x+^2=9^x+^2. what is the value of x?​
klemol [59]

Answer:

x = 1

Step-by-step explanation:

3^(4x + 2) = 9^(x + 2)

Make 9 with base 3.

3^(4x + 2) = (3^2)^(x + 2)

3^(4x + 2) = 3^(2x + 4)

Cancel bases.

4x + 2 = 2x + 4

Subtract 2 and 2x on both sides.

4x - 2x = 4 - 2

2x = 2

Divide 2 on both sides.

x = 1

5 0
3 years ago
In January, Emma was 62.25 in tall. In December, she was 65.5 inches tall. How much did Emma grow between January and December?
WINSTONCH [101]

she "grew" negative 3.25 inches

 it is negative because she was taller in December than she was in January

5 0
2 years ago
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