Answer:
The number of months after which amount paid to two fitness clubs be the same is 10
Step-by-step explanation:
Given as :
The charge of Mikes fitness center = $30 per month fro membership
The charge of All-Day fitness center= $22 per month fro membership + $80
initiation charge
Let The number of months after which amount paid to each club be same = x
So, According to question :
30 x = 22 x + 80
Or, 30 x - 22 x = 80
Or, 8 x = 80
So x =
∴ x = 10
Hence The number of months after which amount paid to two fitness clubs be the same is 10 Answer
Answer:
The first quartile of the distribution of gas mileage is 19.6925 mpg.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

What is the first quartile of the distribution of gas mileage?
The first quartile has a proportion of 0.25. So this is the value of X when Z has a pvalue of 0.25. It happens between Z = -0.67 and Z = -0.68, so i am going to use 
So




The first quartile of the distribution of gas mileage is 19.6925 mpg.
Add 15 to both sides (15&57)
15 cancels out so then you just add 15 and 57 and you get 72
now you divide 57 by 8 and you get 7.125
w = 7.125
25% can be translated to .25
So you can do 50 x .25
Understand that decimals are less than whole numbers. That means decimals are only part of a whole number. Which is why if you were to multiple any number with a decimal it is LESS than what you started with.
So when you do 50 x .25 you get, 12.5