Answer:
The correct option is D. 2/7
Step-by-step explanation:
Consider the provided information.
There are 8 volunteers including Andrew and Karen, 4 people are to be selected at random to organize a charity event.
We need to determine the probability Andrew will be among the 4 volunteers selected and Karen will not.
We want to select Andrew and 3 others but not Karen in the group.
Thus, the number of ways to select 3 member out of 8-2=6
(We subtract 2 from 8 because Andrew is already selected and we don't want Karen to be selected, so subtract 2 from 8.)
The required probability is:
Hence, the correct option is D. 2/7
Answer:
(4 , 3 ) and (-3 , -4)
Step-by-step explanation:
Other two vertices will be in 1st quadrant and 3 rd quadrant
Hey there!
To find a solution that would satisfy the value of x, the first thing you must do is to first solve for x. To solve x-7=35, you must add 7 to both sides to isolate x. This should result in x=42.
When you look at the answer choices given, notice that choice C is the solution for x, 42.
Therefore, your answer would be C. 42.
To check if this is correct, you can plug 42 back into the equation x-7=35 to see if you get a true statement:
42-7=35
35=35
Hope this helps!
Answer:
Y = 4/3x + 0
Step-by-step explanation:
(-3,-4) and (3,4) can be plugged in to rise over run.
y 4 -(-4) = 8
x 3 - (-3) = 6
8/6 = 4/3
Plug into slope intercept form
4 = 4/3(3) + b
4 = 12/3 +b
4 = 4 +b
Subtract from both sides
0 = b
Y = 4/3x + 0
Answer:
Step-by-step explanation:
Given that the probability of a customer arrival at a grocery service counter in any one second is equal to 0.3
Assume that customers arrive in a random stream, so an arrival in any one second is independent of all others.
i.e. X the no of customers arriving is binomial with p = 0.3 and q = 1-0.3 =0.7
a) the probability that the first arrival will occur during the third one-second interval.
= Prob that customer did not arrive in first 2 seconds * prob customer arrive in 3rd sec
= 
b) the probability that the first arrival will not occur until at least the third one-second interval.
Prob that customer did not arrive in first two seconds *(Prob customer arrives in 3rd or 4th or 5th.....)
=
The term inside bracket is a geometric infinite progression with common ratio - 0.7 <1
Hence the series converges
Prob =
