Answer:
Option B) Fail to reject the null hypothesis that the true population mean annual salary of full-time college professors in the region is equal to $127,000.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $127,000
Sample mean, 
= $126,092
Sample size, n = 160
Alpha, α = 0.10
Sample standard deviation, σ = $8,509
First, we design the null and the alternate hypothesis
We use Two-tailed t test to perform this hypothesis.
Formula:
Now, 
Since,
The calculated t-statistic lies in the acceptance region, we fail to reject and accept the null hypothesis.
Option B) Fail to reject the null hypothesis that the true population mean annual salary of full-time college professors in the region is equal to $127,000.
The polynomial a(x) = -18x² - 6x + 12 is the dividend of the polynomial division
The quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12
<h3>How to divide the polynomial?</h3>
The polynomial functions are given as:
a(x) = -18x² - 6x + 12
b(x) = 3x³ + 9x - 1
The quotient equation is given as:
a(x)/b(x) = q(x) + r(x)/b(x)
Since the degree of the dividend a(x) is less than the degree of the divisor b(x), then it means that the value of the quotient q(x) is:
q(x) = 0
And the remainder r(x) is:
r(x) = a(x)
Substitute known values
r(x) = -18x² - 6x + 12
Hence, the quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12
Read more about polynomial division at:
brainly.com/question/25289437
Answer:
A
Step-by-step explanation:
5-2 = 1/52 = 1/25 = 0.04
Answer:
45q + 35
Step-by-step explanation:
Answer:
The task is explained in detail below.
Step-by-step explanation:
We know that a dog, a goat, and a bag of tin cans are to be transported across a river in a ferry that can carry only one of these three items at once (along with a ferry driver).
The driver will first transport the goat to the other shore and then return empty. Then they will take a bag of tin and transport it to the other shore, and then they will return with the goat to their original place.
Then he will leave the goat there and take a dog and carry it to the other shore and then return empty.
And eventually they will take the goat and transport it to the other shore.
