Check the picture below.
bearing in mind the a solution is where both graphs intersect.
A corner shelf has a radius of 10.5 inches and represents 1/4 of a circle as shown.enter the area of the shelf in square inches.
round your answer to the nearest hundred
1 answer:
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Answer:
a) P(x=108)=0.0020
b) P(x≥108)=0.9980
c) P(x<124)=0.7794
d) P(124≤x≤128)=0.1925
Step-by-step explanation:
We know the population proportion, that is p=0.84.
We take a sample of size n=143.
We will use the normal approximation to the binomial distribution to model this problem.
The mean and standard deviation of the normal approximation to the binomial distribution will be:
a) We have to calculate the probability that exactly 108 flights are on time.
As the normal distribution considers the random variable to be continous, we have to apply the continuity correction factor.
In this case, the probability of 108 flights on time can be calculated as P(107.5<x<108.5):
b) Now we have to calculate that at least 108 flights are on time.
As the probability includes 108, the continuity factor will indicates that we calculate P(x>107.5). The z-value for x=107.5 has been already calculated in point a:
c) We have to calculate the probability that fewer than 124 flights are on time. According to the continuity factor, we have to calculate the probability P(x<123.5), as the flight number 124 is not included in the interval.
d) We have to calculate the probability that between 124 and 128 flights, inclusive, are on time.
This interval corresponds to the probability P(123.5<x<128.5)
Step-by-step explanation:
The dimensions of the cuboid are 5 cm, 7 cm and 9 cm.
The formula for the surface area of the cuboid is as follows :
We have,
b = 9 cm, l = 7 cm and h = 5 cm
So,
Jamie forgets to multiply 143 by 2 as the formula for surface area contains 2 as well.