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: r>13
Step-by-step explanation:
The sign is less than so r +8 has to be 20 or less.
He wants the page to have one of each of the four varieties on it. There are 9 daisies to choose from, 7 roses, 5 dandelions, and 2 pansies, so there are
9*7*5*2 = 630
ways of arranging one of each on the page.
In a topographical map of a city, the vertices of the city limits are A(10,9),B(18,9),C(18,2),D(14,4.5),E(10,4.5). The coordinat
Kipish [7]
Answer:
41 square miles
Step-by-step explanation:
There are several ways you can compute the area of this polygon. We have elected to divide it into a rectangle and a triangle.
The rectangle has dimensions 8 × 4.5, so area ...
A = LW = 8 × 4.5 = 36 . . . . . square miles
The triangle has height 2.5 and base 4, so area ...
A = (1/2)bh = (1/2)(4)(2.5) = 5 . . . . . square miles
Then the total area is the sum of these:
36 + 5 = 41 . . . . . square miles
Answer:
1040
Step-by-step explanation:
multiply all 80 times 10 times 13
