The expected value is given by:
E(x)= ∑x*p(x)
thus the expected value of calories will be given by:
E(x)=1/6*60+1/2*42+1/3*90
E(x)=10+21+30
E(x)=61
the answer is 61
Answer:
this is what I found:
9
Step-by-step explanation:
mark brainliest please :)
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Answers:</h3>

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Explanation:
The scale factor is 2, which means we double each coordinate of each point. The general rule is
with k = 2. So we can say the more specific dilation rule is 
Something like W(-2,2) moves to W ' (-4, 4) after multiplying each coordinate by 2. Do the same for the other points as well.
The given preimage points
- V = (-2, -1)
- W = (-2, 2)
- X = (0, 2)
- Y = (3, -1)
will dilate to the corresponding image points
- V ' = (-4, -2)
- W ' = (-4, 4)
- X ' = (0, 4)
- Y ' = (6, -2)
as shown below. This causes the image to be larger compared to the preimage (since the scale factor is larger than 1). Any given point is twice as far from the origin as compared to before, which in turn means the distance between any two points is twice as much.
Answer:
D. a line graph
Step-by-step explanation:
When looking at a rectangular prism, we know that Volume = length * width * height
If we are given that the volume of the prism is 280 cubic meters (m^3), the length is 8 meters, and the width is 7 meters, we can fill in our equation.
280 = 8 * 7 * height
280 = 56 * height
Because we are solving for the height, we divide both sides by 56
280/56 = height
height = 5 meters