If X is a random variable representing the number of children that end up having light-colored eyes, then X follows a binomial distribution with success probability p = 0.25 and number of trials n = 5.
The variance of a binomial distribution with these parameters is n p (1 - p), so the variance in this case would be
5 • 0.25 • (1 - 0.25) = 0.9375 ≈ 0.9
<span>This is a right triangle problem. c^2 = a^2 + b^2
Let b = 7 mi (Rosa's distance from home)
Let a = the east leg (Juan's distance from home
(a+1) = c (hypotenuse, distance between them)
(a+1)^2 = a^2 + 7^2
FOIL (a+1)(a+1)
a^2 + 2a + 1 = a^2 + 49
Combine like terms
a^2 - a^2 + 2a = 49 - 1
2a = 48
a =
<span>a = 24 mi, Juan's distance from home
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Answer:
The y-intercept is the place where the line meets the y-axis
Step-by-step explanation:
Answer:
Step-by-step explanation:
We know the definition of both functions: 
, and 
A) In order to evaluate what 
, let's first investigate what g(-1) is using the definition for this function:
Now let's find what f(2) is using f(x) definition: 
B) In order to evaluate what 
, let's first investigate what f(3) is using the definition for this function:
Now let's find what g(7) is using the definition for this function:
