Answer:
8/15 = 0.53 = 53%
Step-by-step explanation:
The probability is the number of chances divided by the total number of cards. The total number of cards is 8 + 6 +1 = 15. There are 8 red cards and therefore 8 chances to get red.
8 out of 15 cards is 8/15. The probability is 8/15.
Answer:
if youre answer has to be a whole number it would be 3 otherwise it would be x<4 ( so anything less than 4 )
Step-by-step explanation:
so because we are trying to find which company is less, we need to set up in inequality.
so first lets do company A
because 15 is our reoccuring fee, its going to be the coeifficient
so the equation would be
A - 15x + 20
now lets do company B
because it only 20 every month we dont need to have a constant which means the equation for B would be
B - 20x
so lets put it all together
15x + 20 > 20x ( remember our B side has to be less )
now lets solve it
20 > 5x
we know that if x = 4 then the two would be equal, which means our answer would have to be 3 months.
now always check your work.
15 (3) + 20 = 65
20(3) = 60
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:
69,168
Step-by-step explanation:
1 mile = 5280 ft
13 miles · 5280 ft = 68,640 ft
1 yd = 3 ft
176 yds · 3 ft = 528 ft
68640 ft + 528 ft = 69,168 ft
Answer:
3.59
Step-by-step explanation:
-×-=+
-2.31+5.9
=3.59
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