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3 years ago

What is the measure of angle y?

Mathematics

1 answer:

Katarina [22]3 years ago

6 0

Answer:

72.5

Step-by-step explanation:

Angle X is congruent to 35

both angles y and angle x together form a line that equals 180

so for angles y, take 180 - 35 = 145

Angles y is 145/2

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Which part of expression is a factor? 12+5(-3n-8)

Volgvan

Factors are numbers we can multiply together to get another number:

Example: 2 and 3 are factors of 6, because 2 × 3 = 6.

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4 years ago

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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.

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3 years ago

One pump can fill a swimming pool in 6 hours. A second pipe drains the pool in 9 hours. If the the pool starts empty, what part

vitfil [10]

Answer:

1/6

Step-by-step explanation:

5/6=150/180

6/9=120/180

150/180 - 120/180 = 30/180

30/180=1/6

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3 years ago

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The slope is 1/2 and the y-intercept is 3/2. those are the steps to graph the equation.

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4 years ago

What is the volume of the sphere?

Pie

Answer:

Step-by-step explanation:

But the formula for the volume of a sphere is volume is equal to 4/3 pi r cubed, where r is the radius of the sphere. So they've given us the diameter. And just like for circles, the radius of the sphere is half of the diameter.

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3 years ago

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