Answer:
112
Step-by-step explanation:
The volume is given by l*b*h=4*4*7=112
Answer:
A. (2x-3)/2
Step-by-step explanation:
Performing the long division indicated by the perimeter expression, you find ...
perimeter = (2x -3) + (10x +6)/(x^2 +2x)
Comparing this to the formula for the perimeter ...
perimeter = 2W +2L
where L is said to be of the form (ax +b)/(x^2 +2x)
we can match terms in the perimeter expression to see that ...
2W = 2x -3
2L = (10x +6)/(x^2 +2x)
The problem doesn't ask for it, but we can see that (a, b) = (5, 3). We can also see that ...
W = (2x -3)/2 . . . . . . . matches choice A
Answer:
D. The mean will shift to the left.
Because if they sell lower priced cars it will bring the average price down causing the mean to move to the left
Answer:
E(x)=0.15
V(x)=0.3075
S(x)=0.5545
Step-by-step explanation:
The mean of a discrete variable is calculated as:

where
are the values that the variable can take and
are their respective probabilities.
So, if we call x the number of defective transistors in cartons, we can calculate the mean E(x) as:

Because there are 0 defective transistor with a probability of 0.92, 1 defective transistor with a probability of 0.03, 2 defective transistors with a probability of 0.03 and 3 defective transistors with a probability of 0.01.
At the same way, the variance V(x) is calculated as:

Where 
So, the variance V(x) is equal to:

Finally, the standard deviation is calculated as:

6x + 0.8 = 1.4....subtraction property .... subtract 0.8 from both sides
6x = 1.4 - 0.8 ...simplify
6x = 0.6 ... division property ... divide both sides by 6
x = 0.6/6 ...simplify
x = 0.1