Let p be the amount of sales (in dollars) of phones.
Let c be the amount of sales (in dollars) of computers.
Equation 1: sales
p + c = 2100
the amount of all sales is 2100
Equation 2: commission
0.05p + 0.07c = 119
5% commission on phones plus 7% commission on computers totals to 119
Answer:
The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the z-score that has a p-value of
.
Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.
This means that 
90% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).
Answer:
$93.72
Step-by-step explanation:
To be able to find how much is deducted from our paycheck monthly, we have to compute for the total amount left to pay for the health insurance.
Insurance = $4500
Company % = 75% or 0.75
Total amount left = $4500- $4500x0.75
Total amount left = $1125
Now that we know the total amount left, we simply divide the total by 12 to find the monthly payments.
Monthly Payment = $1125/12
Monthly Payment = $93.72
So a total of $93.72 will be deducted from our monthly paycheck for the health insurance.
A. x∧2+(x+20∧2=150∧2 is correct.
because you need to plug the numbers into the pathagoreum theorum which is
a∧2+b∧2=c∧2
150 is our c because it is the side right accross from the right angle.
which number is a and which number is b does not matter.
x is the distance north so we can assign that to a and the distace east is north plus 20 so we can assign b to x+20.
Answer:
y = - 2x + 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute (5, 2) into the partial equation
2 = - 10 + c ⇒ c = 2 + 10 = 12
y = - 2x + 12 ← equation of line