Answer:
15.50h + 50 > 400
Step-by-step explanation:
Given;
Weekly salary = $50 per week
Additional pay = $15.50 per hour
The variable h represent the number of hours worked per week
The total amount earn per week is;
Weekly salary + total additional pay per week
50 + 15.50h
To earn more than $400 this week, the total amount earned in a week must be greater than 400;
15.50h + 50 > 400
Solving the equation we have;
15.50h > 400-50
h > (400-50)/15.50
h > 22.58 hours per week.
Answer:the first one on the left, where 8 and under is at the 45 players, non of the others match up
Step-by-step explanation:
Suppose he makes the payment with two equal annual instalments, the present value of the amount he is owing is $1,543 , the interest rate is 23.76% = 0.2376.
The amount of payment he makes in two of the periodic payments is given by:

Therefore, in 2 years, the amount he has paid for the tools is 2(1,056.20) =
2,112.40
Answer:
Jennifer's height is 63.7 inches.
Step-by-step explanation:
Let <em>X</em> = heights of adult women in the United States.
The random variable <em>X</em> is normally distributed with mean, <em>μ</em> = 65 inches and standard deviation <em>σ</em> = 2.4 inches.
To compute the probability of a normal random variable we first need to convert the raw score to a standardized score or <em>z</em>-score.
The standardized score of a raw score <em>X</em> is:

These standardized scores follows a normal distribution with mean 0 and variance 1.
It is provided that Jennifer is taller than 70% of the population of U.S. women.
Let Jennifer's height be denoted by <em>x</em>.
Then according to the information given:
P (X > x) = 0.70
1 - P (X < x) = 0.70
P (X < x) = 0.30
⇒ P (Z < z) = 0.30
The <em>z</em>-score related to the probability above is:
<em>z</em> = -0.5244
*Use a <em>z</em>-table.
Compute the value of <em>x</em> as follows:




Thus, Jennifer's height is 63.7 inches.