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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To solve for the area of a triangle, we multiply the length and height, then divide that by two. L = 10. H = 7.
To solve for the perimeter, or edges, of the triangle, we need to use the Pythagorean Theorem: a² + b² = c² to solve for the third side. We already know two measures: 10 and 7. Now we need to square them, add them together to get c², then take the root of that number.
We cannot simplify √149, so we either leave it, or round it.
This is rounded to the nearest 10,000.
Now that we have the measure of the longest side, we can add all three sides together to get the perimeter of the triangle.
Answer:
17. 2.75
18. 5.50
19. 8.24
Step-by-step explanation:
To find a tip, multiply the total by the percent as a decimal.
27.48*0.10 = 2.75
27.48 *0.20 = 5.50
27.48 = 8.24
It has to be 3 boxes for all of them to fit
