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 = 25235
For the alternative hypothesis,
µ > 25235
This is a right tailed test.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 100,
Degrees of freedom, df = n - 1 = 100 - 1 = 99
t = (x - µ)/(s/√n)
Where
x = sample mean = 27524
µ = population mean = 25235
s = samples standard deviation = 6000
t = (27524 - 25235)/(6000/√100) = 3.815
We would determine the p value using the t test calculator. It becomes
p = 0.000119
Since alpha, 0.05 > than the p value, 0.000119, then we would reject the null hypothesis. There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.
Answer:
h = -7
Step-by-step explanation:
- 3 = h + 4
- 3 - h = 4
- h = 4 + 3
- h = 7
Answer:
30 square feet.
Step-by-step explanation:
We have to find the main area of the rectangle to determine the changes.
We know, Area of a rectangle = Length × Width
Given,
Length = 12 feet
Width = 5 feet
Therefore, the area of the rectangle = (12 × 5) Square feet.
The area of the rectangle = 60 square feet.
Now, if the length of the rectangle increased by 25%, the new length would be = 12 feet (12 feet × 25%) = 12 feet + 3 feet = 15 feet.
If the width increased by 20%, the latest width would be = 5 feet + (5 feet × 20%) = 5 feet + 1 foot = 6 feet.
The new area of that rectangle = (15 × 6) square feet = 90 square feet.
The changes of area from the previous rectangle is = (90 - 60) square feet = 30 square feet.
Answer: The remainder will be 5 only.
Explanation:
Since we have given that
and
Now, using the division algorithm, we'll get,
When we compare it with division lemma, which says that
We get,
Hence, the remainder will be 5 only.
Answer:
7
Step-by-step explanation:
7 is the prime number that comes after 5
