Answer:
the total ratio is 1+1.5=2.5
to get the number of 5p coins you get (1/2.5)*75=30
To get the number of 10p you get
(1.5/2.5)*75=45
so he has 30 5p coins and 45 10p coins so the total value Is given by
(5*30)+(10*45)=600
Answer:
![P(X\leq 8)= 1- P(X>8) = 1-P(X\geq 9)= 1-[P(X=9)+P(X=10)]](https://tex.z-dn.net/?f=P%28X%5Cleq%208%29%3D%201-%20P%28X%3E8%29%20%3D%201-P%28X%5Cgeq%209%29%3D%201-%5BP%28X%3D9%29%2BP%28X%3D10%29%5D)
And we can find the individual probabilities like this:
And replacing we got:
![P(X\leq 8)=1-[10(0.8)^1 (1-0.8)^{1} + (0.8)^{10}]](https://tex.z-dn.net/?f=P%28X%5Cleq%208%29%3D1-%5B10%280.8%29%5E1%20%281-0.8%29%5E%7B1%7D%20%2B%20%280.8%29%5E%7B10%7D%5D)
Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by:
Solution to the problem
For this case we want this probability:

And for this case we can use the comlement rule and we got:
![P(X\leq 8)= 1- P(X>8) = 1-P(X\geq 9)= 1-[P(X=9)+P(X=10)]](https://tex.z-dn.net/?f=P%28X%5Cleq%208%29%3D%201-%20P%28X%3E8%29%20%3D%201-P%28X%5Cgeq%209%29%3D%201-%5BP%28X%3D9%29%2BP%28X%3D10%29%5D)
And we can find the individual probabilities like this:
And replacing we got:
![P(X\leq 8)=1-[10(0.8)^9 (1-0.8)^{1} + (0.8)^{10}]](https://tex.z-dn.net/?f=P%28X%5Cleq%208%29%3D1-%5B10%280.8%29%5E9%20%281-0.8%29%5E%7B1%7D%20%2B%20%280.8%29%5E%7B10%7D%5D)
V =


h
1. Find the radius.
8/2 = 4
2. Square the radius.

= 16
3. Multiply that by pi.
3.14 * 16 = 50.24
4. Multiply that by the height.
50.24 * 20 = 1004.8
5. Now find 60% of that.
1004.8 * 0.6 = 602.88
V = 602.88

Honestly, it's been a while since I've done this, but I believe this is the answer.
Answer:
456
Step-by-step explanation:
Let X be the SATscore scored by the students
Given that X is normal (1000,200)
By converting into standard normal variate we can say that
is N(0,1)
To find the top 10% we consider the 90th percentile for z score
Z 90th percentile = 1.28

i.e. only students who scored 456 or above only should be considered.
Answer:
The percent error in the meteorologist's forecast for Monday is 5.26316 %
Step-by-step explanation: