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Maksim231197 [3]
3 years ago
6

You complete 40% of ur hw problems before dinner what fraction of the problems did u complete before dinner

Mathematics
1 answer:
yuradex [85]3 years ago
3 0
Is there any answer choices? I believe it is 2/5
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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
2 years ago
One hundred employees of a company are asked how they get to work and whether they work full time or part time. The table below
inna [77]
The probability is 56/100, or 14/25 = 0.56.

These events are not mutually exclusive, meaning they can happen at the same time.  This means we use

P(A or B) = P(A) + P(B) - P(A and B)

P(carpool or full time) = P(carpool) + P(full time) - P(carpool & full time)

There are 6+9=15 people out of 100 that carpool.
There are 7+4+30+6=47 people out of 100 that work full time.
There are 6 people out of 100 that carpool and work full time.

This gives us
15/100 + 47/100 - 6/100 = 56/100
5 0
3 years ago
If y = 7x − 5, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
BaLLatris [955]

Answer:

Correct option is C). {(0, −5), (2, 9), (−3, −26)}

Step-by-step explanation:

Given function is f(x)=7x-5.

Here, Options are given ordered pair

Let, x=0

f(x)=7x-5

f(0)=7(0)-5

f(0)=(-5)

The ordered pair is (0,-5)

Let, x=2

f(x)=7x-5

f(2)=7(2)-5

f(2)=9

The ordered pair is (2,9)

Let, x=(-3)

f(x)=7x-5

f(-3)=7(-3)-5

f(-3)=(-26)

The ordered pair is (-3,-26)

Thus, Correct option is C). {(0, −5), (2, 9), (−3, −26)}

8 0
3 years ago
Eva, the owner of eva's second time around wedding dresses, currently has five dresses to be altered, shown in the order in whic
cupoosta [38]
To answer this question, an assumption must be made, that Eva spends 8 hours a day working. If this is the case, then Eva will complete jobs w, x, and v on day one, for a total of six hours. Since the next job (y) requires 4 hours, she will spend two hours working that day, leaving 2 more hours to go on that job. The next day she will spend 2 hours finishing job y, completing it, and finish the longest job z (hours) that day. This means she had 4 jobs on day one, and 2 jobs on day 2 for and average of 3 jobs per day.  
This answer assumes an 8 hour work day, and that Eva can start a job she cannot finish that day.
5 0
2 years ago
Faucet A flows at a rate of 100 liters per 5 minutes and Faucet B flows at a rate of 100 liters per 4 minutes into an empty pool
Dmitriy789 [7]

Answer:

It will take both faucets 200 minutes to fill a pool with 9,000 liters of water

Step-by-step explanation:

Here, we want to know the time it will take for both faucets to fill a pool with 9,000 liters of water

What we need here is to have a joint rate for both faucets;

For the first faucet, we have a rate of 100 liters per 5 minutes so this means in a minute;

100/5 = 20 liters per minute

For the second faucet, the per minute rate will be 100/4 = 25 liters per minute

So therefore, the joint rate will be;

25 liters per minute + 20 liters per minute = 45 liters per minute

So the time needed to fill 9,000 liters of water in a pool will be ;

9000 liters/ 45 liters per minute = 200 minutes

8 0
3 years ago
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