Answer:
85
Step-by-step explanation:
To solve this, you would have to figure out what 80% of 106 is. 80% of 106 is 84.8. If you were to round this to the nearest whole number, you would get 85.
Answer:
Therefore there's a 99.99% probability the motherboard of your new computer will last for at least 15 years.
Step-by-step explanation:
This is the general idea to solve the problem.
Suppose that the mean and variance of the your distribution are .
respectively. Then, according to the problem you are looking for the probability.
Consider then the following random variable.
Using the central limit theorem 
distribution will be close to normal, and its mean and variance will be 
, respectively. Therefore you just have to find the probability that a normally distributed random variable with that mean and that variance which I just mentioned is less than 14.
For this case we have that
Then you have that
and we have that if 
is a normally distributed random variables with mean 280 and variance 70 we have that
the actual probability we are looking for is
Therefore there's a 99.99% probability the motherboard of your new computer will last for at least 15 years.
Answer:
twenty fifth
Step-by-step explanation:
X is the number of weeks he is exercising starting summer
f(x) is number of total hours he exercised
Answer:
Yes
Step-by-step explanation:
Let's consider what Adrian does for a few weeks, that is, we will make a table where we can see the behavior of the savings with respect to the weeks that pass:
time (week) savings ($)
0 28
1 43
2 58
3 73
4 88
5 103
and if we continue doing we see that it has a similar behavior, and the equation would be:
s = 15 * m + 28
where s are the savings and m the number of months, which means that 15 is that constant of proportionality and therefore they are proportional.
