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:
2.9282 × 10^8
Step-by-step explanation:
(110×110×110×110)2
(146410000)2
292820000
292820000 can be simplified to 2.9282 × 10^8.
Hope this helps.
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Hope thia helped can you mark me brainliest please
Answer: 157.5
Step-by-step explanation: To get the volume of an object you must multiply the width x height ÷ it by 2 x length
Therefore 7 x 5 = 35 ÷ 2 = 17.5
17.5 x 9 = 157.5
Answer:
m<1 = 51
m<2 = 61
m<3 = 29
Step-by-step explanation:
three angles of a triangle = 180
so knowing that add 68 + 61 to get 129
now subtract cause the last angle will = 180-129 = 51
for angle two is 61 cause their congruent
now we have one angle = 90 and another 61
add them 90+61= 151
now subtract 180-151 = 29