Answer:
length = 24, width = 9
Step-by-step explanation:
Let's call the length and width of the first rectangle w + 15 and w respectively. This means that the length and width of the second rectangle is (w + 15) - 2 and w + 5 respectively. Since the perimeter of the second rectangle is 72, we can write:
2 * ((w + 15) - 2 + w + 5) = 72 because perimeter = 2 * (length + width)
(w + 15) - 2 + w + 5 = 36 (Divide by 2)
2w + 18 = 36 (Combine like terms)
2w = 18 (Subtract 18)
w = 9 (Divide by 2)
This means that the length and width are 24 and 9.
1300+22=1322 1322+6=1328 answer: 1328
Answer:
D: 6/36
Step-by-step explanation:
As we are given the sample space, the events that sum to 6 are:
{(1,5), (2,4), (3,3),(4,2),(5,1)}
Let n(S) be the number of items in sample spae
n(S) = 36
Let E be the event the sum is 6
Then,
n(E) = 6
So,
P(Sum of two cubes is 6) = n(E) / n(S)
= 6/36
So, the correct answer is:
D: 6/36 ..
Answer:
13/4096
Step-by-step explanation:
There are 12 ways the player can make 11 shots and miss one shot, and there is 1 way the player can make all shots, so there is a total of 13 ways that the player makes at least 11 out of 12 free throws.
The total number of possibilities for the free throws is 2^12 = 4096
Therefore, the probability that the player makes at least 11 out of 12 free throws is 13/4096
Answer:
Step-by-step explanation:
dP/dh = kP
dP/P = k dh
ln P = kh + C
Now, using the points given,
ln 101.5 = C, so C = 4.62
ln 87.3 = k*1000 + 4.62
k = -0.00015
So, we have
ln P = -0.00015 h + ln 101.5
P = 101.5 e^(-0.00015h)
