13 bus seats on each bus and 12 seats on each van
180=(3x+25)+2x. Soooooo X=31
Answer:
(a) 0.5899
(b) 0.9166
Step-by-step explanation:
Let X be the random variable that represents the height of a woman. Then, X is normally distributed with
= 62.5 in
= 2.2 in
the normal probability density function is given by
, then
(a) 
= 0.5899
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)
(b) We are seeking 
where n = 37. 
is normally distributed with mean 62.5 in and standard deviation 
. So, the probability density function is given by
, and
= 0.9166
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))
You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.
For problem 2:
The answer would be B) Car A travels more miles per gallon of fuel than Car B.
This is because Car B is shown on the graph to travel the same number of miles as Car A using 16 gallons of fuel, while Car A uses only 4 gallons. Thus, Car A travels further with less fuel.
For problem 3:
Let's write out the equation and try to solve.
5x + 1 = 3x + 7
First, subtract 3x from both sides.
5x - 3x + 1 = 3x - 3x + 7
2x + 1 = 7
Now, subtract one from both sides.
2x + 1 - 1 = 7 - 1
2x = 6
Finally, divide both sides by 2.
2x/2 = 6/2
x = 3
You should only get B) One solution
Hope that helped!
