-5-(15y-1) = 2(7y-16) - y // question
-5-15y+1 = 14y-32-y // distribute
-15y - 4 = 13y - 32 // subtract
-28y = -28 // divide
y = 1
The formula for the volume of a prism is V=Bh, where B is the base area and h is the height.The base of the prism is a rectangle.The length of a rectangle is 9cm and the width is 7cm.
Answer:
Step-by-step explanation:Absolute value is a number's distance away from zero. For example, on a number line, -9 is 9 spaces away from zero. So, the absolut value is 9. Similarly, the number 9 is also 9 spaces from zero, so the absolute value would be 9. 9 and -9 both have an absolute value of 9. I hope this is helpful!
Answer:
x = -16
Step-by-step explanation:
Answer:
E(X) = 6
Var(X) = 3.394
Step-by-step explanation:
Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each
of the (100, 20) ways to catch the 20 fishes will be equally likely.
Thus, we can say that X fulfills a hypergeometric
distribution with parameters as follows;
n = 20, N = 100, k = 30
Formula for expected mean value in hypergeometric distribution is;
E(X) = nk/N
E(X) = (20 × 30)/100
E(X) = 6
Formula for variance is;
Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]
Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]
Var(X) = 6 × 0.5657
Var(X) = 3.394
