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xxTIMURxx [149]
3 years ago
5

PLEASE HELP

Mathematics
1 answer:
GREYUIT [131]3 years ago
5 0

Answer:

After solving we get (f.g)(5)=-115

But the correct option is not given in the question.

Step-by-step explanation:

We are given:

f(x) = 4x+3\\g(x)=-2x+5

We need to find (f.g)(5)

First we will multiply f and g to find (f.g) i.e

(f.g)(x)= f(x) \times g(x)\\(f.g)(x) = (4x + 3)(-2x + 5)\\(f.g)(x)=4x(-2x+5)+3(-2x+5)\\(f.g)(x)=-8x^2+20x-6x+15\\(f.g)(x)=-8x^2+14x+15\\

Now putting x=5

(f.g)(x)=-8x^2+14x+15\\Put \ x=5\\(f.g)(5)=-8(5)^2+14(5)+15\\(f.g)(5)=-8(25)+70+15\\(f.g)(5)=-200+70+15\\(f.g)(5)=-115

So, after solving we get (f.g)(5)=-115

But the correct option is not given in the question.

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Answer:

The critical value is T = 1.895.

The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution.

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The upper end of the interval is the sample mean added to M. So it is 60.46 + 12.301 = $72.761

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