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mario62 [17]
3 years ago
5

A 270-mile highway has a toll booth at the beginning, a toll booth every 45 miles, and then a final toll booth at the end. A

Mathematics
1 answer:
Vsevolod [243]3 years ago
5 0

Answer:

$8.25

Step-by-step explanation:

270 sectioned out by 45s is 7 toll booths on the highway. That means theres a toll booth at 0 mi, 45, 90, 135, 180, 225 and 270 mi. If Josh exits after 120 mi, he only hits the booth at the beginning and then the last one at 90 mi because he doesn't reach the next one at 135 mi. $2.75 per toll booth and if he passed 3, then 2.75 x 3 = $8.25.

This should be correct, hope it helps. :)

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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
Finish this 1-5 all of it
horrorfan [7]
You are lazy... do it on your own.
3 0
3 years ago
Find the coordinate of the other endpoint if the midpoint is (5,5) and the endpoint is (-4,1)
Dima020 [189]

Answer:

p(14,9)

Step-by-step explanation:

steps are in picture.

Note: if you have any question about it you can ask.

3 0
3 years ago
How do you find a value of x so that f(x) = 7?
DiKsa [7]

Answer:

When f(x) = 7, x is equal to 5.

Step-by-step explanation:

When looking at this graph, we are looking for where the line hits a point where y is equal to 7. That's because f(x) is essentially the same thing as y.

The point in which the graph hits y = 7 is (5, 7). This means the x value we need is 5.

5 0
3 years ago
For the investment with interest compounded annually, find the final balance using the formula A = P(1 + r)t
Alinara [238K]
B.
<span>$5852.86

Working;
</span><span>A = P(1 + r)^t
A=5000(1+</span>\frac{3.2}{100})^5
A=<span>5852.86</span>
5 0
3 years ago
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