Answer:
0.0143
Step-by-step explanation:
In this question, we are asked to use the binomial distribution to calculate the probability that 10 or fewer passengers from a sample of MIT data project sample were on American airline flights.
We proceed as follows;
The probability that a passenger was an American flight is 15.5%= 15.55/100 = 0.155
Let’s call this probability p
The probability that he/she isn’t on the flight, let’s call this q
q =1 - p= 0.845
Sample size, n = 155
P(X < A) = P(Z < (A - mean)/standard deviation)
Mean = np
= 125 x 0.155
= 19.375
Standard deviation = √npq
= √ (125 x 0.155x 0.845)
= 4.0462
P(10 or fewer passengers were on American Airline flights) = P(X \leq 10)
= P(Z < (10.5 - 19.375)/4.0462)
= P(Z < -2.19)
= 0.0143
Answer:
see the explanation
Step-by-step explanation:
we have
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This is the equation of a line in point slope form
where
the point is (-2,4)
the slope is m=1/3
Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
so
To graph the line
1. Plot the point (–2,4).
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points
Answer:1.6%
Step-by-step explanation: no of students in 2010=311
no of students in 2016=306
difference=311-306
=5
%decrease=5/311 x 100
Answer:Find the vol of the sphere:
radius of the sphere = 3 in
V = %284%2F3%29%2Api%2A3%5E3
V = 97.858
:
Find the vol between the sphere and cube:
216 - 97.858 = 118.142 cu/in
Step-by-step explanation: