Answer:
a) How many African-Americans would you expect to get promotions?
Since we have been asked to follow the binomial distribution, (B (40,0.2)
To calculate the mean of the BPD = n*p
where n is the number of promotions and p = probability
= 40 x 0.2 = 8
You expect 8 promotions.
b)
The probability that 5 African-Americans = P (X = 5)
P( X = 5 ) = 40 sqr root ( 5 * 0.2^5 * 0.8^35 ) = 0.0854
c) What is the probability that five or fewer African-Americans receive promotions?
P( X <= 5) = P(X=5) + P(X=4) + ... + P(X=1) + P(X=0)
faster way is calculator
binomcdf(40, .2, 5) = 0.1613
Step-by-step explanation:
The y-intercept is already given an the equation.
It is negative 180.
The x-intercepts or roots where y = 0, are 4, 9, and 5. You know that there are three roots because the highest degree of the function is 3.
If you have a graphing calculator, I suggest plugging in the function to see the shape of the graph.
-6(-6) = 36 and
-6 (-6) also is 36.
36 * 36 = 1,296
Answer:
x=5 y=-6
Step-by-step explanation:
3x+y=9 ------eqn1
y=4-2x -------eqn2
using substitution
put y=4-2x into eqn1
3x+4-2x=9
x=5
put x=5 into eqn2
y=4-2(5)
y=4-10
y=-6