Answer:
are a, b, and c the options or are they different questions?
First, let's turn all the numbers into improper fractions so that we can find the answer easier.
-2 
= r - 
-
= r -
Now we have to isolate 'r'.
First, we have to make sure that the variable is on one side and all the numbers are on the other side.
To do this, we have to add to both sides.
In order to do this, we need to ensure that both fractions have a common denominator.
- = r -
Ensure that the denominators are the same:
= r - 
+ = r
= r
Good luck!
Cut 5 equal sections from a 2 foot long ribbond
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:
Slope = -2
Step-by-step explanation:
Since, slope = 
Rise = -(y-intercept)
Run = (x-intercept)
From the graph attached,
y - intercept = -(4) = -4
x - intercept = 2
Therefore, slope the line given in the graph attached will be,
Slope = 
= -2
Slope = -2
