Plz answer hurry. 20 points for right answer
2 answers:
First, we need to define the function of (fog)(x)
(fog)(x) = f(g(x))
it means we need to substitute the x in the function f(x) with g(x)
f(x) = x + 7
change x with g(x)
fog(x) = g(x) + 7
fog(x) =
+ 7
equalize the denominators
fog(x) = + 7
fog(x) =
simplify
fog(x) =
fog(x) =
Second, determine the domain of the function
If the function is in fraction form, the denominator of the fraction can't be equal to zero.
x - 13 ≠ 0
x ≠ 13
The domain is {x| x≠13}
The answer is last option
(fog)(x) = f(g(x))
it means we need to substitute the x in the function f(x) with g(x)
f(x) = x + 7
change x with g(x)
fog(x) = g(x) + 7
fog(x) =
equalize the denominators
fog(x) =
fog(x) =
simplify
fog(x) =
fog(x) =
Second, determine the domain of the function
If the function is in fraction form, the denominator of the fraction can't be equal to zero.
x - 13 ≠ 0
x ≠ 13
The domain is {x| x≠13}
The answer is last option
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Answer: c. z = 1.35; Reject the null hypothesis
Step-by-step explanation:
Let be the average life expectancy of its batteries.
As per given , we have
Null hypothesis :
Alternative hypothesis :
Since is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Test statistic :
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For , we have
Critical one-tailed test value for 0.10 significance level :
Decision : Since critical z value (1.28) < test statistic (1.35), so we reject the null hypothesis .
[When critical value is less than the test statistic value , we reject the null hypothesis .]