Answer:
a) P(X = 0) = 0.5997
b) P(X = 9) = 0.0016
c) P(X = 8) = 0.0047
d) P(X = 5) = 0.4018
Step-by-step explanation:
These following problem are examples of the binomial probability distribution.
Binomial probability
Th 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 combinatios of x objects from a set of n elements, given by the following formula.

And
is the probability of X happening.
(a) for n = 4 and π = 0.12, what is P(X = 0)?

(b) for n = 10 and π = 0.40, what is P(X = 9)?

(c) for n = 10 and π = 0.50, what is P(X = 8)?

(d) for n = 6 and π = 0.83, what is P(X = 5)?

Answer:
A.) 101
B.) 121
Step-by-step explanation:
If two angles are supplementary, that means they add up to 180 degrees. If you have an angle, and want to find it's supplement, you would subtract the given angle from 180.
180 - 79 = 101
180 - 59 = 121
Hope this helps!
7y-3°=3y+13°
7y-3y= 13°+3°
4y= 16°
y=4°
Substitute y
7(4)-3°= 25°
3(4)+13=25°
180°-25°-25°=130°
2(2x+3)°+130°=180°
4x+136°=180°
4x=44°
x=11°
Answer:
5x-7
Step-by-step explanation:
= -8x - 12 - 3x + 5
= -8x - 3x - 12 + 5
= 5x-7
The two numbers are 39 and 22