The equation that models the total cost is y = 100 + 22.5m
Step-by-step explanation:
Fitness member ship cost = $100
Monthly fee = $25
Discount = 10% on monthly fee
To calculate new monthly fee after discount,
25 - (25*10%) --> 25 - 2.5 --> $22.5
Number of months = m
Fee in m months = 22.5*m = 22.5m
<u>Equation:</u>
(c) is constant which is the membership fee
(x) is the monthly fee $22.5
(m) is the number of months
(y) is the total cost
So,
y = mx + c
y = m(22.5) + 100
y = 100 + 22.5m
Therefore, the equation that models the total cost is y = 100 + 22.5m
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Answer:
The answer is 113 as we find angle qps and then x by alternate angle property.
There is a graph image below.
Answer:
0.149
Step-by-step explanation:
Here the hypothesized mean=35
Null hypothesis:μ=35
Alternative hypothesis:μ>35
It is clearly stated in the problem that the mayor thinks average age is now lower that is hypothesized mean is greater.
we know that n=40,xbar=36 and s=6.
we don't know about population standard deviation and the estimate sample standard deviation is given so, we use t-test statistic.
t=(xbar-μ)/(sd/sqrt(n))=36-35/6/(sqrt(40)) = 1.0541
The p-value is calculated using t-test statistic and the alternative hypothesis. Using excel function T.DIST.RT(1.0541,39) we get p-value=0.149
RT(right tailed) is used because alternative hypothesis is μ>35.
Hence the p-value is 0.149.
