Answer: 1. 0.0256
2. 0.4096
Step-by-step explanation:
Binomial probability formula , to find the probability of getting x successes:
, where n= Total number of trials
p= Probability of getting success in each trial.
Let x be the number of customers will make purchase.
As per given , we have
p= 0.20
n= 4
1. The probability that 3 of the next 4 customers will make a purchase will be:-
![P(x=3)=(4)(0.20)^3(0.80)^{1}\ \ [\because\ ^nC_{n-1}=n]](https://tex.z-dn.net/?f=P%28x%3D3%29%3D%284%29%280.20%29%5E3%280.80%29%5E%7B1%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_%7Bn-1%7D%3Dn%5D)
Hence, the probability that 3 of the next 4 customers will make a purchase = 0.0256
2. The probability that none of the next 4 customers will make a purchase will be :
![P(x=0)=(1)(0.80)^{4}\ \ [\because\ ^nC_{0}=1]](https://tex.z-dn.net/?f=P%28x%3D0%29%3D%281%29%280.80%29%5E%7B4%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_%7B0%7D%3D1%5D)
Hence, the probability that none of the next 4 customers will make a purchase= 0.4096
To find the area of this rectangle you multiply the length by the width, like so (x+2) x (2x+5) .
To find the perimeter of this rectangle you add all the sides using this equation,
(x+2)+(x+2)+(2x+5)+(2x+5) .
Answer:
imani=+7
peter=-8
Step-by-step explanation:
If you look carefully at the graph, you may see that the slope of the line is
3-4 -1
---------------- = ------ = m
7-4 3
thus, you have the slope of the line and two points on the line. Suppose we
choose the point (4,4) and subst. the known slope and the coordinates of this point into the point-slope formula for the eqn of a str line:
y-y1 = m (x-x1)
y-4 = (-1/3)(x-4)
This is the desired equation. You could, if you wished, change this into slope-intercept form.
