Answer: Football = 35 children
<u>Step-by-step explanation:</u>
I created a Venn diagram and labeled it as follows:
Tennis only = x
Both Tennis & Football = y
<u>Football only </u>= <u>x + y </u>
Total children = x + y + x + y
42 = 2x + 2y
We are also given that y = 2x <em>(twice as many play both tennis & football as just play tennis)</em>
Now we have two equations and can use substitution to solve for x & y:
42 = 2x + 2y
y = 2x
42 = (y) + 2y
42 = 3y
14 = y
Now let's find x:
y = 2x
14 = 2x
7 = x
We are asked to find how many children play football.
Football = x + y
<u>Both Tennis & Football</u> =<u> y </u>
Total Football = x + 2y
= 7 + 2(14)
= 7 + 28
= 35
Answer:
4:5
Step-by-step explanation:
You start with the equation:
2(3/4m)=D+1/4m
Simplify it to solve:
5/4m=D
Answer: -1.55
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
Sample mean : 
The test statistic for the population mean is given by :-


Hence, the value of z statistic = -1.55
This is the whole problem : Paul bought 9 total shirts for a total of $72. Tee shirts cost $10 and long sleeve shirts cost $7. How many of each type of shirt did he buy?
Answer:
Sierra studied 3 hours
William studied 2 hours
Step-by-step explanation:
jonah studied 6 hours.
He also studied 3 hours longer than sierra meanining sierra studied 3 hours less than 6 hours.
So, 6 hours minus 3 hours is equals to 3 hours.
With that being said, Sierra has studied 3 hours.
Sierra = 3 hours
The question then states that Jonah studied 3 times as many hours as William.
Reminder: Jonah studied 6 hours in total.
This means that jonahs' hours (6 hours) is equals to 3 times williams hours (3x)
6 hours= 3x
x= williams hours
we divide both sides by 3 to see what x is equals to
in other words, we divide Jonahs' hours to see what williams hours are
With that being said, William studied for 2 hours
2 hours = x