Answer:
Option (A) 0.40951
Step-by-step explanation:
We are given the following information in the question:
P(target) = 0.90
Let the random variable X represent the number of times he hits ring of the target with a shot of the arrow.
The probability distribution of X is
x: 0 1 2 3 4 5
P(x): 0.00001 0.00045 0.00810 0.07290 0.32805 0.59049
The mean of discrete probability distribution is given by:

Now, we have to evaluate

Option (A) 0.40951 t is the probability that the number of times Luke will hit the inner ring of the target out of the 5 attempts is less than the mean of X.
Answer:
x=40°
Step-by-step explanation:
Firstly, lets look at some things that we know based on this image:
We have a equilateral triangle(The triangle on the left has 3 tick marked on the sides, so they are equal. It also has 3 of the same angle, so it must be equilateral) and a isosceles triangle (There are two tick marks showing that two of the sides are equal length), the measure of each of the equilateral triangle's angles must be 60° each, the measure of these two triangles together must be 360°, and angle x and the unmarked angle must be the same size as this triangle is isosceles.
To solve this, we can set up an equation to solve for x. To do this, we can add up all of the known angles and set it equal to 360.

Answer:
Step-by-step explanation:
The segment addition theorem tells you ...
CD +DE = CE
x^2 +12x = 32 -2x
Subtract the right side to put this in standard form.
x^2 +14x -32 = 0
(x +16)(x -2) = 0
x = -16 or 2
In order for DE to have a positive length, we must have x > 0. So ...
CD = x^2 = 2^2 = 4
DE = 12x = 12(2) = 24
CE = 32 -2x = 32 -2(2) = 28
The purpose of a cash budget is to help financial managers to get a better understanding of the timing of cash flows.
The cash budget will make it easier for the managers to monitor whether the current cash flow is enough to fund all companies' operation and to determine whether they need to make any changes in their departments.
It would be b because if you take 10 and shusbejsjdhebe