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gtnhenbr [62]
3 years ago
9

At Teresa's auto shop, it takes her

Mathematics
1 answer:
Viefleur [7K]3 years ago
3 0
15x + 18y ≥ 120 would be the inequality
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Two college roommates have each committed to donating to charity each week for the next year. The roommates’ weekly incomes are
schepotkina [342]

Answer:

C. 5 weeks.

Step-by-step explanation:

In this question we have a random variable that is equal to the sum of two normal-distributed random variables.

If we have two random variables X and Y, both normally distributed, the sum will have this properties:

S=X+Y\\\\\ \mu_S=\mu_X+\mu_Y=30+60=90\\\\\sigma_S=\sqrt{\sigma_X^2+\sigma_Y^2}=\sqrt{10^2+20^2}=\sqrt{100+400}=\sqrt{500}=22.36

To calculate the expected weeks that the donation exceeds $120, first we can calculate the probability of S>120:

z=\frac{S-\mu_S}{\sigma_S} =\frac{120-90}{22.36}=\frac{30}{22.36}=1.34\\\\P(S>120)=P(z>1.34)=0.09012

The expected weeks can be calculated as the product of the number of weeks in the year (52) and this probability:

E=\#weeks*P(S>120)=52*0.09012=4.68

The nearest answer is C. 5 weeks.

6 0
3 years ago
A submarine went down 800 feet below sea level to Point A, then traveled up to Point B, which was 160 feet below sea level. Writ
Nadusha1986 [10]
The depth of Point A:  800 ft.
The depth of the Point B : 160 ft.
The distance from the point A to point B:
800 - 160 = 640 ft.
The fraction is:
640 / 800  = 4/5
3 0
3 years ago
In a survey of 1200 teenagers, 48% said they are involved in an extracurricular activity. What is the margin of error for the su
nevsk [136]
The answer is 1200 teenagers
6 0
3 years ago
Simplify The Expression 16(1/2x)^4
Bond [772]
16(1/2x)^4
Answer: X^4
8 0
3 years ago
There are 1265 students at Cypress Middle School. 42% of the students are enrolled in PE. Which equation could be used to repres
Dovator [93]

Answer:

0.42* 1265=x

Step-by-step explanation:

There are 1265 students in Cypress Middle School. So we already know one part of the equation. 42% of these students are in PE. So we know that 42% of  these 1265 students are in PE. Of these means you probably have to multiply 42% and 1265. 42% = 0.42. So to write an equation we take the 0.42 and 1265 and put it together. Therefore, 0.42 times 1265=x.

7 0
3 years ago
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