Susanne is 16 years old.
b = Bob's age
s = Susanne's age
d = Dakota's age
Bob's age is 4 times greater than Susanne's age:
b = 4s
Dakota is three years younger than Susanne:
d = s - 3
The sum of Bob's, Susanne's, and Dakota's ages is 93:
b + s + d = 93
solve these equations:
b = 4s
d = s - 3
b + s + d = 93
and get:
b = 64 years
s = 16 years
(remember that s = Susanne)
d = 13 years
Your answer is gonna be 36.975
Answer:
p(b = 1) = 0.4096 = 40.96%
Step-by-step explanation:
For each candy, there are only two possible outcomes. Either it is blue, or it is not. The probability of a candy being blue is independent of any other candy. This means that 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.
20% are blue
This means that ![p = 0.2](https://tex.z-dn.net/?f=p%20%3D%200.2)
Sample of 4
This means that
.
Which of the following would find p(b=1)?
P(X = 1). 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 = 1) = C_{4,1}.(0.2)^{1}.(0.8)^{3} = 0.4096](https://tex.z-dn.net/?f=P%28X%20%3D%201%29%20%3D%20C_%7B4%2C1%7D.%280.2%29%5E%7B1%7D.%280.8%29%5E%7B3%7D%20%3D%200.4096)
So, p(b = 1) = 0.4096 = 40.96%
Using the three numbers without using decimals, the smallest number would be 369. Other combinations are larger.
Answer:
Step-by-step explanation:
Let the sides of triangle be a, b and c
<u>Perimeter</u>
<u>New sides </u>
<u>New perimeter </u>
- Pn = 12a + 12b + 12c = 12(a+b+c) = 12*40 = 480 ft
Correct choice is D