<span>A rectangular prism has four lateral surfaces. If the sides of the base are L and W, two of the lateral surfaces are rectangles of side L and H, and the other two are rectangles of sides W and H. Then, the lateral area is the sum of the areas of the four lateral rectangles: 2 * L * H + 2 * W * H= 10 * 4 = 2 * 10 * 4 + 2 * 5 * 4 = 2*40 + 2 * 20 = 80 + 40 = 120.</span>
Answer:
a) E(X)=1
b) σ=1
c) P(X>1)=0.368
d) P(2<X<5)=0.128
Step-by-step explanation:
We have X: "the time between two successive arrivals at the drive-up window of a local bank", exponentially distributed with λ = 1.
a) We have to compute the expected time between two successive arrivals.
The expected value for X as it is exponentially distributed is:

b) We have to compute the standard deviation of X.
The standard deviation is calculated as:

c) The probability that X is larger than 1 (P(X>1))
We can express the probability as:

d) The probability that X is between 2 and 5 (P(2<X<5))

Step-by-step explanation:
x^3 is a perfect cube, 8 is a perfect cube, so we use difference of cubes.

Cube root of x^3 is x.
Cube root of 8 is 2
So
a=x
b= 2.

Set these equations equal to zero



If we do the discriminant, we get a negative answer so we would have two imaginary solutions,
Thus the only real root is 2.
If you want imaginary solutions, apply the quadratic formula.

and

Answer:
J: 2/45
Step-by-step explanation:
You multiply the probabilities together then simplify
2/15 x 5/15
to get 10/225
simplify to get your answer of 2/45
60/40 =5
40*5=200
Answer For 1 is 200
35/10=3.5
20*3.5=70
Answer For 2 is 70 Pounds
85/40=2.125
2.125*600
1275
Answer For 3 is 1275