Answer:
P(X = 4) = 0.1876
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this question:

We want P(X = 4). So

Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.
Answer:
Rewrite the expression 10(15 – 6) using the distributive property of subtraction.
A) 10(6) – 10(15)
B) 10(9)
C) 10(6 –15)
D) 10(15) – 10(6)
Show/Hide Answer
A) 10(6) – 10(15)
Incorrect. Here a greater number would be subtracted from a lesser number, and the answer would not be a whole number. The correct answer is 10(15) – 10(6).
B) 10(9)
Incorrect. The numbers in parentheses were subtracted before the number 10 could be distributed. The correct answer is 10(15) – 10(6).
C) 10(6 –15)
Incorrect. You probably used the commutative law instead of the distributive property. The correct answer is 10(15) – 10(6).
D) 10(15) – 10(6)
Correct. The 10 is correctly distributed so that it is used to multiply the 15 and the 6 separately.
Step-by-step explanation:
The equation for this would be:
y+6= 1/5(x+7)