Answer:
Z=±1.65
Step-by-step explanation:
Some previous concepts
The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.
A z-test for one mean "is a hypothesis test that attempts to make a claim about the population mean(μ)".
The null hypothesis attempts "to show that no variation exists between variables or that a single variable is no different than its mean"
The alternative hypothesis "is the hypothesis used in hypothesis testing that is contrary to the null hypothesis"
System of hypothesis
Null hypothesis: 
Alternative hypothesis: 
If the random variable is distributed like this: 
The significance level provided is
and the value of
.
Since we are conducting a bilateral test, then we have two critical values. We need to find two quantiles that accumulates 0.05 of the area on the tails of the normal standard distribution. And in order to find it we can use the following excel codes:
"=NORM.INV(0.05,0,1)" , "=NORM.INV(1-0.05,0,1)"
And we got this:
and 
So the correct answer for this case is:
Z=±1.65
Answer:
<h2>Reflection and translation.</h2>
Step-by-step explanation:
The picture shows the preimage ABCD and the image A'B'C'D'.
Notice that both images are at the same distance from the x-axis, which implies a reflection across the x-axis. Them, the image was translated 1 units to the left.
Therefore, the right answers are reflection and translation.
(f.g)(x) = f (g(x))= f ( x^4+3)
= (x^4+3)^2 + 2 ( x^4+3) - 6
= x^8 + 9 + 6x^4 + 2x^4 + 6-6
= x^8 + 8x^4+9
Step-by-step explanation:
Answer:
I think the answer is 60 feet.
Step-by-step explanation:
Because his rate is 2 feet per second and the question asks where he'll be after 30 seconds, the answer has to be 60 feet.
I hope this helps!