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.
Answer:
Y=2x+7
Step-by-step explanation:
To find the gradient of the line u have to subtract the y intercepts and the x intercepts
11--9/2--8=20/10=2
Y-11/x-2=2
Y-11=2(x-2)
Y-11=2x-4
Y=2x-4+11
Y=2x+7
Answer:

Step-by-step explanation:


Answer:
42.7 m
Step-by-step explanation:
The Circumference of a circle is found by multiplying the radius of the circle by 2π. Here the radius is 6.8 m. The circumference of this circle is
C = 2π(6.8 m) = 13.6π m, or (to 1 decimal place, 42.7 m.