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2 years ago

If f(x) = -8x - 4 and g(x)

Mathematics

2 answers:

7nadin3 [17]2 years ago

7 0

Answer:i think 8x-4 is 4x.

Step-by-step explanation:

khan

serg [7]2 years ago

6 0

Answer:

9 is in the domain of f(g(x))

Step-by-step explanation:

f(g(x)) = -8*g(x) - 4

= -8*( 7x+3) - 4

= -56x - 24 - 4

= -56x - 28

= -28(2x + 1)

f(g(9)) = -28(2*9 + 1)

= -28*19

= -532

Since 9 can be plugged into the compound function, it is in the domain.

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2 years ago

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2 years ago

A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced.

zzz [600]

Answer:

$CI=(66.54,78.46)$

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , $\bar{X}=72.5\%$ , s=5.8%