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3 years ago

5

Can a complement if an angle be an obtuse angle

1 answer:

ASHA 777 [7]3 years ago

6 0

Complementary angles add to 90 degrees. So if two angles are complementary, then they are acute (ie less than 90 degrees). So it's not possible for an obtuse angle to have a complementary angle. ... My first instinct was to tell you that an obtuse angle does not have a complement.

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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

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Maurinko [17]

Answer:

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SteIt is p-by-step explanation:

If we rotate the standard form x^2 - y^2 = 1 through 45 degrees we get xy = 1/2.

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