So, the prime factors of 96 are written as 2 x 2 x 2 x 2 x 2 x 3 or 3 x 25, where 2 and 3 are the prime numbers.
Answer: A
Step-by-step explanation:
The answer is choice A since it has the rise and run of 2/3.
Answer:
Step-by-step explanation:
Hello!
The variable of interest in this case is:
X: length of time before a major repair is required on a new car. (months)
This variable has a normal distribution with mean μ= 36 months and a standard deviation σ= 9 months.
If he wants to set a guarantee period in which only 5% of the sold cars fell, the objective is to find the value of X that has below 5% of the cars that need major repairs before the end of the guarantee period.
Check the attachment, the curve represents the distribution of the population of the time it takes before a new car needs major repairs, I've marked approximately where this value of X should be.
Symbolically:
P(X≤a)=0.05
To reach the proper value of "a" you have to work using the standard normal distribution because is a tabulated distribution and you can extrapolate it to any normal distribution.
So the first step is to look in the table of the Z distribution for the value that accumulates 0.05 of probability since it is such a low probability, you have to look for the value in the left side of the table (negative values of Z). You look for 0.05 in the body of the table and then the margins for the corresponding value (see second attachment)
Then the value that accumulates 0.05 of probability is -1.64, now you have to reverse the standardization to reach the asked value of X
Z= (a- μ)/σ
(Z*σ)= a - μ
a=(Z*σ)+ μ
a=(-1.64*9)+36
a= 21.24 months.
The guarantee period should be 21.24 months so that only 5% of the sold cars will need major repairs before it wears of.
I hope it helps!
The answer to the question is n>1/2.
Answer:
Each person would have to contribute to contribute $385 to pay a 1.5 deficit.
Step-by-step explanation:
To determine:
How much would each person have to contribute to pay a 1.5 deficit if United States facing a budget deficit of 1.5 billion and 3.9 million population?
Fetching Information and Solution Steps:
- United States facing a budget deficit of 1.5 billion
- Population = 3.9 million
We have to determine how much would each person have to contribute to pay a 1.5 deficit.
Just dividing 1500 millions (1.5 billion) by 3.9 million as:
which is rounded to $385.
Therefore, each person would have to contribute to contribute $385 to pay a 1.5 deficit.
Keywords: deficit
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