We have to make an equation: a number increased by 10 is 114.
An equation is:
x + 10 = 114
x = 114 - 10
x = 104.
Answer:
1716 ;
700 ;
1715 ;
658 ;
1254 ;
792
Step-by-step explanation:
Given that :
Number of members (n) = 13
a. How many ways can a group of seven be chosen to work on a project?
13C7:
Recall :
nCr = n! ÷ (n-r)! r!
13C7 = 13! ÷ (13 - 7)!7!
= 13! ÷ 6! 7!
(13*12*11*10*9*8*7!) ÷ 7! (6*5*4*3*2*1)
1235520 / 720
= 1716
b. Suppose seven team members are women and six are men.
Men = 6 ; women = 7
(i) How many groups of seven can be chosen that contain four women and three men?
(7C4) * (6C3)
Using calculator :
7C4 = 35
6C3 = 20
(35 * 20) = 700
(ii) How many groups of seven can be chosen that contain at least one man?
13C7 - 7C7
7C7 = only women
13C7 = 1716
7C7 = 1
1716 - 1 = 1715
(iii) How many groups of seven can be chosen that contain at most three women?
(6C4 * 7C3) + (6C5 * 7C2) + (6C6 * 7C1)
Using calculator :
(15 * 35) + (6 * 21) + (1 * 7)
525 + 126 + 7
= 658
c. Suppose two team members refuse to work together on projects. How many groups of seven can be chosen to work on a project?
(First in second out) + (second in first out) + (both out)
13 - 2 = 11
11C6 + 11C6 + 11C7
Using calculator :
462 + 462 + 330
= 1254
d. Suppose two team members insist on either working together or not at all on projects. How many groups of seven can be chosen to work on a project?
Number of ways with both in the group = 11C5
Number of ways with both out of the group = 11C7
11C5 + 11C7
462 + 330
= 792
Answer:
207.24 in.
(This is not a rounded answer)
Step-by-step explanation:
So, this will be very fun, simple, and easy!
First thing we do is use this formula, A(s) = 2πrh + 2πr²
We don't know the surface area yet, and that's what we are looking for, so first off we go ahead and plug in the radius, which is 6 divided by 2, and that's 3! The height is 8 inches!
Let's plug in 3.14 for pie too.
A(s) = 2(3.14)3(8) + 2(3.14)3²
Let's start solving.
A(s) = 150.72 + 2(3.14)3²
3 squared is 9!
A(s) = 150.72 + 56.52
A(s) = 207.24 inches
So, the answer is...207.24 in.! THat is the correct answer, but if I'm wrong, please comment so I can change my answer! Thanks for the points, have a great day or else!
$78/3= $26- that's unit price 6*$26=$156 that's prices for 6 tickets
