The formula for a rectangular prism is
V =BHL
The probability that the transistor will last between 12 and 24 weeks is 0.424
X= lifetime of the transistor in weeks E(X)= 24 weeks
O,= 12 weeks
The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.
X~gamma(
)
E(X)=
=
=6 weeks
V(x)=
=24/6= 4
Now we can find the solutions:
The excel formula used to create Figure one is as follows:
=gammadist(X,
,
, False)
P(
)
P(
)
P(
)
P= 0.424
Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424
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Answer:
2B / (mx) = y
Step-by-step explanation:
B = 1/2 mxy
Multiply each side by 2
2B = 2* 1/2 mxy
2B = mxy
Divide each side by mx
2B / (mx) = mxy / (mx)
2B / (mx) = y
Using similarity principle, the height of the tree is 1.97 meters
<h3>How to find height of the tree?</h3>
He is 1.75 meters tall.
His shadow = 33.7 meters
The length of the tree shadows = 37.95 meters
Using similarity principles where the corresponding length are a ratio of each other.
Therefore,
1.75 / x = 33.7 / 37.95
cross multiply
37.95 × 1.75 = 33.7x
66.4125 = 33.7x
divide both sides by 33.7
x = 66.4125 / 33.7
x = 1.97069732938
x = 1.97 meters
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Answer:

Step-by-step explanation:
Using the midpoint formula,
, we can find the coordinates that represents the position of the ship at noon.
Let
(given on the coordinate plane)
(given also)
Plug in the values into the formula and solve as follows:




Position of the ship at noon is best represented at 