Answer:
8x + 2y = 7
2y = -8x + 7
y = -4x + 7/2; this line has slope equal -4
Parallel lines, slope is the same so slope of parallel line is also -4
A. y − 1 = 4(x + 8); slope m = 4....FALSE
B. y = −4x + 15; slope m = - 4....TRUE
C. 16x + 4y = 9; 4y = -16x + 9 so y = -4x + 9/4; slope m = - 4....TRUE
D. y = −4x; slope m = - 4....TRUE
Step-by-step explanation:
Answer:
C. 41
Step-by-step explanation:
180 - 81 = 99
99+40 = 139
180 -139 = 41
Answer:
P(X = 12) = 0.0064.
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 problem we have that:

We want P(X = 12). So


P(X = 12) = 0.0064.
If you have two statements p and q and

is
true, then

is also true.
In your case, statements are p - "x is odd" and q - "2x is even".
Then

- "x is not odd" and

- "2x is not even."
Hence

sounds as: "If 2x is not even, then x is not odd".
Answer: correct choice is D.