Answer:
5.3%
Step-by-step explanation:
The final probability is calculated by means of the quotient of the specific combinations and the total of total combinations
Let's start with the specific ones,
First the number of combinations of 4 of the 30 students getting a spot, i.e .:
A combinations are equal to:
nCx = n! / x! * (n-x)!
Replacing:
30C4 = 30! / (4! * 26!) = 27405
Segundo the number of combinations of the other audience members filling the other 4 (8-4) spots n = 110, 140 - 30
110C4 = 110! / (4! * 106!) = 5773185
Now the total combinations of possible 8 contestants from the audience
140C8 = 140! / (8! * 132!) = 2.98 * 10 ^ 12
Finally, the probability is equal to:
P = (30C4 * 110C4) / 140C8
replacing:
P = 27405 * 5773185 / 2.98 * 10 ^ 12
P = 0.053
Therefore the probability is 5.3%
15/20 are French so 5/20 are English
Simplified that’s 1/4
Only applies if all the books are either English or French
I think
2r + 2r + 5 + r + 4r - 3 = 38
9r + 5 - 3 = 38
9r + 2 = 38
9r = 38 - 2
9r = 36
9r/9 = 36/9
r = 4cm
Done!
Answer:
4-
30 minutes --- 562.5 miles
240 minutes --- 300 miles
480 minutes --- 0 miles
600 minutes --- 150 negative miles (they would have already arrived).
5- 240 CDs will weigh 720 ounces.
Step-by-step explanation:
4- Given that Bryan family's summer house is 600 miles away, and after 30 minutes, they are 562.5 miles left to their destination, to determine the distance in the following minutes the following calculations must be performed:
30 minutes --- 562.5 miles
240 minutes --- 300 miles
600 - 562.5 = (37.5) / 30 = (1.25) x 240 = 300 miles
480 minutes --- 0 miles
600 - 562.5 = (37.5) / 30 = (1.25) x 480 = 600 miles
600 minutes --- 150 negative miles
600 - 562.5 = (37.5) / 30 = (1.25) x 600 = 750 miles
5- Given that Jasmine mails 2 CDs in an envelope and the envelope weighs 6 ounces, to calculate the weight of 240 CDs the following algebraic calculation must be performed:
6/2 x 240 = X
3 x 240 = X
720 = X
Thus, 240 CDs will weigh 720 ounces.
