Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 17
For the alternative hypothesis,
µ < 17
This is a left tailed test.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 80,
Degrees of freedom, df = n - 1 = 80 - 1 = 79
t = (x - µ)/(s/√n)
Where
x = sample mean = 15.6
µ = population mean = 17
s = samples standard deviation = 4.5
t = (15.6 - 17)/(4.5/√80) = - 2.78
We would determine the p value using the t test calculator. It becomes
p = 0.0034
Since alpha, 0.05 > than the p value, 0.0043, then we would reject the null hypothesis.
The data supports the professor’s claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week.
Answer:
Angle R is 99 degree
Angle Y=48 degrees
Angle T is 33 degrees
Step-by-step explanation:
Let angle T be x
Angle R will be 3x
Angle Y will be x+15
Total=x+3x+x+15=5x+15
5x+15=180
5x=165
x=165/5=33
Therefore, angle T is 33 degrees, angle Y=15+33=48 degrees and angle R=33*3=99 degrees
So, she has 3hrs to grade all papers, for 35 students.. alrite.
the first 5, she does them in 30minutes.. what's the speed rate? well, 5/30 or 1/6
now, she has still 2 hours and a half, or 150 minutes, to do the remaining 30 papers... she has to work at a rate of 30/150 then... which is 1/5 simplified.
now if we take 1/6 as the 100%, what is 1/5 in percentage then?

so 1/5 is 120% in relation to 1/6... meaning the rate of 1/5 she needs to move through, namely 1 paper every 5 minutes, is 20% faster than 1/6.
Step-by-step explanation:
The choices are not given but the graph looks like the above picture.
The divide and simplify of the equation √36 x⁴ / √9 x⁶ will result to 
Let's begin by simplifying the equation;
Simplify the equation by finding the square root of both 36 and 9
The square root of 36= 6
The square root of 9= 3
= 
The above equation can also be written as;
= 
The next step is to solve the powers, that is,
= 
Cancel out 6 by 3 and get 2
The result is,
= 
The final submission result is,
=
To find more on divide and simplify, go to: brainly.com/question/16356152
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