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lions [1.4K]
3 years ago
8

PLEASE HELP! Which of the following functions are the inverse of p(x)= √5x+7 ?

Mathematics
1 answer:
Rasek [7]3 years ago
4 0

Answer: B

Step-by-step explanation:

You are given the function

p(x) = √5x+7

Let p(x) = y then,

Y = √5x+7

To find the inverse of a function, you need to interchange x and y and make y the subject of formula. That is,

X = √5y+7

Square both sides

X^2 = 5y + 7

Make y the subject of formula

5y = x^2 - 7

Y = ( x^2 - 7 ) / 5

the correct answer is B

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The 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams is (-11.937, -6.863).

Step-by-step explanation:

We have to calculate a 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams.

The sample 1 (Fiberglass), of size n1=26 has a mean of 33.4 and a standard deviation of 2.2.

The sample 2 (Carbon), of size n2=26 has a mean of 42.8 and a standard deviation of 4.3.

The difference between sample means is Md=-9.4.

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The estimated standard error of the difference between means is computed using the formula:

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The critical t-value for a 99% confidence interval is t=2.678.

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MOE=t\cdot s_{M_d}=2.678 \cdot 0.9473=2.537

Then, the lower and upper bounds of the confidence interval are:

LL=M_d-t \cdot s_{M_d} = -9.4-2.537=-11.937\\\\UL=M_d+t \cdot s_{M_d} = -9.4+2.537=-6.863

The 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams is (-11.937, -6.863).

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