Answer:
12
Step-by-step explanation:
84/7 is 12, so she was going 12 mph
Answer:
0.8
Step-by-step explanation:
(-w+0.4)+(w+0.4)
=0.8
Answer:
a) 0.00136008
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they buy a magazine, or they do not. The probability of a customer buying a magazine is independent of any other customer. Thus, the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
9.8% of his customers buy a magazine
This means that ![p = 0.098](https://tex.z-dn.net/?f=p%20%3D%200.098)
What is the probability that exactly 5 out of the first 10 customers buy a magazine?
This is
when
. So
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 5) = C_{10,5}.(0.098)^{5}.(0.902)^{5} = 0.00136008](https://tex.z-dn.net/?f=P%28X%20%3D%205%29%20%3D%20C_%7B10%2C5%7D.%280.098%29%5E%7B5%7D.%280.902%29%5E%7B5%7D%20%3D%200.00136008)
Thus, the correct answer is given by option A.
Answer:
85
Step-by-step explanation:
Write the numbers in order
66, 72, 74, 80, 83, 87, 91, 95, 98, 99
Find the middle number
83 and 87 are in the middle, so find the mean of them. 83+87= 170
170/2 = 85.
Answer:
Add each side of the rectangle together to get the perimeter.
Step-by-step explanation:
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