Answer:
14 and 6th I think correct me if I'm wrong this is for help not to cheat
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:
45 and 5.
Step-by-step explanation:
Using the information given we will only need the Cosine and Sine equations. i made a diagram (cant take a picture, in my study hall) labeled the sides of the triangle A, B, and C. with C as the hypotenuse, A as the Opposite, and B as the adjacent (will not be needed as A is the height). i will be rounding the th nearest thousandth.
Using Sine (SIN=Opposite/Hypotenuse), we can find A.
SIN(33)=A/4.4
SIN(33)≈.545
.545≈A/4.4
now multiply each side by 4.4 to get rid of the division
(.545*4.4)≈((A/4.4)4.4)
2.396≈A
so the answer would be that the slide is about 2.396 M high
Answer:
D=8p
David (d) is equal to 8 times the number of photographs Gary (p) has.
Step-by-step explanation:
