Answer:
Plug into calc
Step-by-step explanation:
A= P(1+r/n)^nt
A= 10000(1+.13/12)^12*3
It is 8 bc you count them then you use pythagorean theorem
Answer:
Try B
Step-by-step explanation:
I am sorry if im wrong
Answer:
0.2301 = 23.01% probability that exactly 2 don't grow.
Step-by-step explanation:
For each seed planted, there are only two possible outcomes. Either it grows into a healthy plant, or it does not. The probability of a seed growing into a healthy plant is independent of any other seed, which 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.
90% chance of growing into a healthy plant.
This means that ![p = 0.9](https://tex.z-dn.net/?f=p%20%3D%200.9)
12 seeds are planted
This means that ![n = 12](https://tex.z-dn.net/?f=n%20%3D%2012)
What is the probability that exactly 2 don't grow?
So 12 - 2 = 10 grow, which is
. Then
![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 = 10) = C_{12,10}.(0.9)^{10}.(0.1)^{2} = 0.2301](https://tex.z-dn.net/?f=P%28X%20%3D%2010%29%20%3D%20C_%7B12%2C10%7D.%280.9%29%5E%7B10%7D.%280.1%29%5E%7B2%7D%20%3D%200.2301)
0.2301 = 23.01% probability that exactly 2 don't grow.
Answer:
The average movie ticket in Switzerland is $13.73 and in Japan is $17.46
Step-by-step explanation:
Given that it will cost $79.84 to buy 3 tickets in Japan +2 tickets in Switzerland and $76.11 for 3 tickets in Switzerland +2 tickets in Japan then you can form simultaneous equations as show;
3J + 2S = $79.84
2J +3S=$76.11
Where J is for tickets Japan and S is for tickets in Switzerland
Solving the simultaneous equations
(3J + 2S = 79.84)2
(2J +3S=76.11 )3
Making the J side equal by cross product
6J+4S=159.68
6J+9S=228.33
Eliminating the J side by subtraction
5S=68.65
Dividing both sides by 5 to remain with S
5S/5=68.65/5
S=13.73
using the value of S in equation 3J+2S=79.84
3J+2(13.73)=79.84
3J+27.46=79.84
3J=79.84-27.46
3J=52.38
J=52.38/3 = 17.46
The average movie ticket in Switzerland is $13.73 and in Japan is $17.46
Kono Dio Da!!!