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xz_007 [3.2K]
3 years ago
12

F(x) = x^2 -7x +14, g(x) = 4x -9 Find (g ° f)(x)

Mathematics
1 answer:
adelina 88 [10]3 years ago
5 0

Answer:

Set up the composite result function.

g(F(x)) Evaluate g(x2−7x+14)

by substituting in the value of F into g.

g(x2−7x+14)=4(x2−7x+14)−9

Simplify each term.

g(x2−7x+14)=4x2−28x+56−9

Subtract 9 from 56.

g(x2−7x+14)=4x2−28x+47

Step-by-step explanation:

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Read 2 more answers
It has a time to failure distribution which is normal with a mean of 35,000 vehicle miles and a standard deviation of 7,000 vehi
Triss [41]

Answer:

The designed life should be of 21,840 vehicle miles.

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.

Mean of 35,000 vehicle miles and a standard deviation of 7,000 vehicle miles.

This means that \mu = 35000, \sigma = 7000

Find its designed life if a .97 reliability is desired.

The designed life should be the 100 - 97 = 3rd percentile(we want only 3% of the vehicles to fail within this time), which is X when Z has a p-value of 0.03, so X when Z = -1.88.

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

-1.88 = \frac{X - 35000}{7000}

X - 35000 = -1.88*7000

X = 21840

The designed life should be of 21,840 vehicle miles.

3 0
2 years ago
A circular swimming pool is 21 feet in
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Answer:

G. 66 feet

Step-by-step explanation:

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Circumference

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65.94 feet

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