15 50
---- = ----
x 60
(15*60)/50
900/50
18
It takes the ostrich 18 minutes to run 15 miles.
There are 12 boys enrolled in algebra 2
Answer: 108 ft³
Step-by-step explanation:
V= 4/3πr³
Facts:
Pi= 3
Diameter = 6
Step1; find the radius
Diameter is the length acaross the whole circle, but the radius is just 1/2 the circle. Therefore, if the diameter is 6, then the radius can be found by finding 1/2 of 6.
1/2 of 6= 1/2x6= 3.
R= 3
Step 2: Plug in the numbers (into the formula)
PEMDAS
(exponents go first)
(then multiply from left to right)
V= 4/3πr³
V= 4/3x3x3³
V= 4/3x3x (3x3x3)
V= 4/3x3x27
V= (4/3x3) x 27
V= 12/3x27
V= 4x27
V= 108
<u><em>Volume= 108 ft³ </em></u>
<u><em></em></u>
Hope this helps :)) Also brainliest would be appreciated, i worked pretty hard on this thanks! :)
(Fog) = f(g(x))
g(-2)=-2+4=2
f(2)=2^2 +3 = 4+3 =7
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
