Answer:
4.5
Step-by-step explanation:
6x + 42 = 18x - 12 (alternate angles)
or, 18x - 6x = 42+12
or, 12x = 54
or, x = 54/12
x= 4.5
HEYY ok so the first question (comic book one) is 2637 comic books.
Answer:
x = 9
y = 3
Step-by-step explanation:
2x + 2y = 24 is the same as x + y = 12
using substitution, x = 12-y
12 - y = 3y
12 = 4y
y = 3
x = 3(3)
x = 9
X=4, y=28. 7x=2x+20, so subtract 2x from both sides and you’ll get 5x=20. Divide both sides by 5 and you’ll get x=4. Substitute this into the other equations and they will both equal 28.
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.
