150 different committees are possible
<h3><u>
Solution:</u></h3>
Given that a student dance committee is to be formed consisting of 2 boys and 4 girls
The membership is to be chosen from 5 boys and 6 girls
To find : number of different possible committees
A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected
<em><u>The formula for combination is given as:</u></em>
where "n" represents the total number of items, and "r" represents the number of items being chosen at a time
<em><u>We have to select 2 boys from 5 boys</u></em>
So here n = 5 and r = 2
<em><u>We have to select 4 girls from 6 girls</u></em>
Here n = 6 and r = 4
<em><u>Committee is to be formed consisting of 2 boys and 4 girls:</u></em>
So we have to multiply and
So 150 different committees are possible
Answer:
A gasoline tank for a certain car is designed to hold 14.0 gal of gas.
a)What is the probability that a randomly selected tank will hold at most 13.7 gal?
We are supposed to find
Refer the z table for p value
p value = 0.0668
So,
The probability that a randomly selected tank will hold at most 13.7 gal is 0.0668
b)What is the probability that a randomly selected tank will hold between 13.4 and 14.3 gal?
We are supposed to find
P(x<13.4)=P(z<-3)= 0.0013
P(x<14.3)= 0.9332
The probability that a randomly selected tank will hold between 13.4 and 14.3 gal is 0.9319
(c) If two such tanks are independently selected, what is the probability that both hold at most 14 gal?
We are supposed to find
Refer the z table for p value
p value = 0.5
So,
Two such tanks are independently selected, the probability that both hold at most 14 gal = 0.5 * 0.5 = 0.25
Hence If two such tanks are independently selected, the probability that both hold at most 14 gal is 0.25
Answer:
Define a variable and write an expression for each phrase.
9. 2 more than twice a number
10. a number minus 11
11. 9 minus a number
12. a number divided by 82
13. the product of 5 and a number
14. the sum of 13 and twice a number
15. the quotient of a number and 6
16. the quotient of 11 and a number
Answer:YES
Step-by-step explanation:
Answer:
Step-by-step explanation:
By geometric mean property: