Answer: The exact form is 5.3965953e-16. But in exponential form: 9^(-16).
Step-by-step explanation:
Use your calculator to plug in the negative powers and to multiply. Do it one step at a time. If you want exponential form, then here:
9^(-53) * 9^(37)
Add exponents keep base
9^(-16)
Hope this helps
To complete the solution of - x - 8y = -1, we first need to substitute x for -15.
As so:
-(-15) - 8y = -1
15 - 8y = -1
Next, we can subtract 15 from each side to get:
15 - 15 - 8y = -1 - 15
- 8y = -16
Now, we can divide by -8 on each side to get the y by itself:
-8y / -8 = -16 / -8
y = -16 / -8
y = 2
There we go! <em>y</em> = 2 when x = -15! Hope I could help you out! Have a good one.
Using the equation of the test statistic, it is found that with an increased sample size, the test statistic would decrease and the p-value would increase.
<h3>How to find the p-value of a test?</h3>
It depends on the test statistic z, as follows.
- For a left-tailed test, it is the area under the normal curve to the left of z, which is the <u>p-value of z</u>.
- For a right-tailed test, it is the area under the normal curve to the right of z, which is <u>1 subtracted by the p-value of z</u>.
- For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is <u>2 multiplied by 1 subtracted by the p-value of z</u>.
In all cases, a higher test statistic leads to a lower p-value, and vice-versa.
<h3>What is the equation for the test statistic?</h3>
The equation is given by:

The parameters are:
is the sample mean.
is the tested value.
- s is the standard deviation.
From this, it is taken that if the sample size was increased with all other parameters remaining the same, the test statistic would decrease, and the p-value would increase.
You can learn more about p-values at brainly.com/question/26454209
Answer:
160
Step-by-step explanation:
If there were only 2 options, all the people who didn't pick one chose the other one.
So if 25% of the people voted for the aquarium the remaing 75% voted for the zoo.
Since three times as many people voted for the zoo, we can see that 120/3=40, so 40 people chose the aquarium.
To find the total number of students, we add 120 and 40 to get <u>160</u>