Answer:
0.7743
Step-by-step explanation:
Mean of age = u = 26 years
Standard Deviation =
= 4 years
We need to find the probability that the person getting married is in his or her twenties. This means the age of the person should be between 20 and 30. So, we are to find P( 20 < x < 30), where represents the distribution of age.
Since the data is normally distributed we can use the z distribution to solve this problem. The formula to calculate the z score is:

20 converted to z score will be:

30 converted to z score will be:

So, now we have to find the probability that the z value lies between -1.5 and 1.
P( 20 < x < 30) = P( -1.5 < z < 1)
P( -1.5 < z < 1 ) = P(z < 1) - P(z<-1.5)
From the z-table:
P(z < 1) = 0.8413
P(z < -1.5) =0.067
So,
P( -1.5 < z < 1 ) = 0.8413 - 0.067 = 0.7743
Thus,
P( 20 < x < 30) = 0.7743
So, we can conclude that the probability that a person getting married for the first time is in his or her twenties is 0.7743
Answer:
Option $152.19
Step-by-step explanation:
Data provided in the question:
Previous balance = $152.35
Finance charge = $1.78
New purchases of $45.23 and $15.67
Payment = $50.00
Credit = $12.84
Now,
New Balance
= [Previous balance + Finance charge + New purchases ] - [ Payments + Credits ]
= [ $152.35 + $1.78 + ($45.23 + $15.67) ] - [$50.00 + $12.84 ]
= $215.03 - $62.84
= $152.19
Hence,
Option $152.19
I am not sure is this is right, but you could say that set A has a number in the millions, which makes in easier to set apart from the other one.
14 is the answer bc u have to multiply 7x2 <3
Answer:
There are 4,148,350,734,528 ways
Step-by-step explanation:
We have
- 44 senators which are Demonstrators.
- 56 senators which are Repudiators.
(a) How many ways are there to select a committee of 10 senate members with the same number of Demonstrators and Repudiators?
We want to choose 5 Demonstrators and 5 Repudiators. The number of ways to do this is
and
respectively. Therefore, the number of ways to select the committee is given by:


(b) Suppose that each party must select a speaker and a vice speaker. How many ways are there for the two speakers and two vice speakers to be selected?
- <u>If the speaker and vice speaker are chosen between all senators:</u> In this case, the answer will be

This is because there are (in the case of Demonstrators) 44 possibilities to choose an speaker and after choosing one, there would be 43 possibilities to choose a vice speaker. The same situation happens in the case of Repudiators.
- <u>If the speaker and vice speaker are chosen between the committee:</u> In this case, the answer will be
.