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Art [367]
3 years ago
9

If X and Y are random variables with E(X) = 6 and E(Y) = 9, then E(2X + 3Y) is: -39-15-27-12

Mathematics
1 answer:
a_sh-v [17]3 years ago
7 0

Expectation is linear in the sense that

E[2X+3Y]=E[2X]+E[3Y]=2E[X]+3E[Y]

so that

E[2X+3Y]=2\cdot6+3\cdots9=12+27=\boxed{39}

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#2 Find the area.<br> 10ft
den301095 [7]

Answer:

It would be 78.539...

Step-by-step explanation:

So the equation for area is π r^2. We don't have the radius but we have the diameter. Since the radius is always 1/2 of the diameter, simply divide 10/2 to get this.

Now with the radius, it can simply be plugged into the equation for the answer:

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7 0
3 years ago
Read 2 more answers
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Paladinen [302]
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5 0
3 years ago
Alex is practicing his dives at a pool. He dives from a dividing board that is 21 feet above the surface of the water. His dive
leonid [27]

Answer:

NO. Alex was wrong.  

The total dive distance is 21 + 17 = 38 feet

Step-by-step explanation:

Alex was wrong because his direction of diving is from above the water through the surface of the water to under the water.

So his direction of travelling is not opposite but the same.

Therefore the total distance traveled by Alex = distance traveled from the diving board to the water surface + distance traveled from the water surface to down below the water  

Distance traveled from the diving board to the water surface = 21 feet

Distance traveled from the water surface down below the water = 17 feet  

Total distance traveled by Alex = 21 feet + 17 feet

   = 38 feet.

Thus, Alex was wrong because the the total distance traveled by Alex was 38 feet.

6 0
4 years ago
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