Answer:
He wont foul out with probability 0.9093
Step-by-step explanation:
The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.
Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus
As a consecuence, he wont foul out with probability 0.9093.
I think its... A (but not sure)
Answer:
She will receive 22% commission
Step-by-step explanation:
18% commission when the profit on a car is under $400
22% when the profit is at least $400 and less than $1,000
24% when the profit is $1,000 or more.
How much will she receive if she sold $800 in profits?
She will receive 22% commission
$800 profits is greater than $400 but less than $1000
Answer:
The center is (5, -2) and the radius is 9/2
Step-by-step explanation:
The equation of a circle can be written by
(x-h) ^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x-5)^{2}+(y+2)^{2} = 81/4
( (x-5)^{2}+(y- -2)^{2} = (9/2)^2
The center is (5, -2) and the radius is 9/2
Since there are a 100 cents in a dollar. the 100 is the denominator.
46/100, reduce; 23/50, can't be reduced any further. so 23/50 is the fraction.
