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pashok25 [27]
3 years ago
6

Please see attachment to help. I really need it.

Mathematics
1 answer:
telo118 [61]3 years ago
6 0
(fg)(x) = (x^3 -4x+2)(x^2+2)
(fg)(x) = x^5 - 4x^3 + 2x^2 + 2x^3 -8x + 4
(fg)(x) =x^5 - 2x^3  + 2x^2  -8x + 4

answer
x^5 - 2x^3  + 2x^2  -8x + 4
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A manufacturer knows that their items have a normally distributed length, with a mean of 15.4 inches, and standard deviation of
Masteriza [31]

Answer:

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

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 establishes 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.

Mean of 15.4 inches, and standard deviation of 3.5 inches.

This means that \mu = 15.4, \sigma = 3.5

16 items are chosen at random

This means that n = 16, s = \frac{3.5}{\sqrt{16}} = 0.875

What is the probability that their mean length is less than 16.8 inches?

This is the p-value of Z when X = 16.8. So

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

By the Central Limit Theorem

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

Z = \frac{16.8 - 15.4}{0.875}

Z = 1.6

Z = 1.6 has a p-value of 0.9452.

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

5 0
2 years ago
HELP!!!<br> 50 Points!!!!!
andreyandreev [35.5K]

Answer:

i think the first and last one.

Step-by-step explanation:

5 0
2 years ago
Which two operations are needed to write the expression that represents “five less than the quotient of a number and three”?
harina [27]
The answer would be multiplication and subtraction
8 0
3 years ago
Please help!!! <br>solve for x ​
8_murik_8 [283]
I believe it is -7 but I may be misunderstanding the question
3 0
3 years ago
Read 2 more answers
I need help finding the lowest term for -8/9+11/15​
Liono4ka [1.6K]

Answer:

-7/45

Step-by-step explanation:

First, find the lowest common denominator for 9 and 15. It's 45. Make both fractions over 45 by multiplying the top and bottom by the same number.

-\frac{8}{9} +\frac{11}{15}

= -\frac{8*5}{9*5} +\frac{11*3}{15*3}  Since 15*3=45, multiply the top by 3 also.    Since 9*5=45, multiply the top by 5 also.

= -\frac{40}{45} +\frac{33}{45}

= \frac{-40+33}{45}    Combine the fractions

= -\frac{7}{45}    Answer in lowest terms

6 0
2 years ago
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