Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
the bearing of A from B is 065º. ... A boat sails from a
Answer:
x=18 x=-6
Step-by-step explanation:
2|x-6|+14=38
The first step is to isolate the absolute value
Subtract 14 from each side
2|x-6|+14-14=38-14
2|x-6|=24
Divide by 2 on each side
2/2|x-6|=24/2
|x-6| = 12
Now we can seperate the absolute value into two parts, the positive and the negative
x-6 =12 x-6 = -12
Add 6 to each side
x-6+6 =12+6 x-6+6 = -12+6
x=18 x= -6
Answer:

In order to find the variance we need to find first the second moment given by:

And replacing we got:

The variance is calculated with this formula:
![Var(X) = E(X^2) -[E(X)]^2 = 0.33 -(0.15)^2 = 0.3075](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%200.33%20-%280.15%29%5E2%20%3D%200.3075)
And the standard deviation is just the square root of the variance and we got:

Step-by-step explanation:
Previous concepts
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).
Solution to the problem
LEt X the random variable who represent the number of defective transistors. For this case we have the following probability distribution for X
X 0 1 2 3
P(X) 0.92 0.03 0.03 0.02
We can calculate the expected value with the following formula:

And replacing we got:

In order to find the variance we need to find first the second moment given by:

And replacing we got:

The variance is calculated with this formula:
![Var(X) = E(X^2) -[E(X)]^2 = 0.33 -(0.15)^2 = 0.3075](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%200.33%20-%280.15%29%5E2%20%3D%200.3075)
And the standard deviation is just the square root of the variance and we got:

Answer:
Area of tomato section is 45 
Step-by-step explanation:
The total area for garden is the area of a square with side 14 ft.
That means the garden's total area is the square of its side:
Area of a square of side "x" =
, then for our case where the square's side is 14 ft, the square's area becomes: 
Inside this area, there is a square of side 4 ft reserved for flowers (and what is left -the rest- for veggies). The area of the flower section is then:
. Therefore the rest of the garden that is intended for veggies is (the total garden area minus the flower section area) = 
This remaining veggie are is to be divided in four (4) equal parts, and one of them destined for tomato plants. The area of each of the veggie sections is one fourth of the remaining area: 
So in particular the tomato plant area is 45 