Answer: Meghan spent $687.5 per year.
Step-by-step explanation:
Let x represent the amount of money that Scott spends per year for auto insurance.
Meghan spends 25% more each year for auto insurance than Scott. The value of 25% of the amount that Scott spends per year is
25/100 × x = 0.25 × x = 0.25x
Therefore, the amount that Meghan spends would be
x + 0.25x = 1.25x
If the amount that they spent together is $1237.50 per year, it means that
x + 1.25x = 1237.5
2.25x = 1237.5
x = 1237.5/2.25
x = 550
The amount that Meghan spent per year would be
1.25 × 550 = 687.5
<u>Given</u>:
The line graph shows the number of marks Stacey scored in her homeworks.
We need to determine the Stacey's mean score.
<u>Mean score:</u>
The total number of marks is given by

Simplifying, we get;

Thus, the total number of marks is 40.
Sum of the number of marks scored is given by

Thus, the sum of the marks scored is 20.
The mean is given by


Therefore, Stacey's mean score is 2 marks.
Answer:
Step-by-step explanation:
binomial distritubtion
mean= n*p
.23*300= 69
variance= n*p*(1-p)
.23*300*(1-.23)=53.1
standard deviation= sqrt(variance)
sqrt(53.13)= 7.3
Step-by-step explanation:
4 cup of sugar = 6 cup of flour
4.5 cup of sugar = 6.75 cup of flour
5 cup of sugar = 7.5 cup of flour
7.5 cup of sugar = 11.25 cup of flour
8 cup of sugar = 12cup of flour
hope it helps you
Answer:
0.0228
Step-by-step explanation:
Given that 
-Let X be the height of the randomly selected man.
-The probability that X>75 inches is calculated as:

Hence, the probability that a random pick is taller than 75 inches is 0.0228