Answer:
D. 127
Step-by-step explanation:
Because our spinner is split up evenly 8 ways, we a have a 1/8th chance of getting 6 with any given spin. We will want to pick the number that is the closest to one 1/8th of 1104 from our options at the right.
Let's check them one by one. Note that 1/8 as a decimal is .125, if you are using a calculator to do this problem, decimals will be fastest and we'll work with those here.
A) 291/1104 = .264
B) 117/1104 = .106
C) 209/1104 = .189
D) 127/ 1104 = .115
Our closest number to .125 (ie, 1/8th) is .115. or 127 out of 1,104 spins.
Answers:
- False
- True
- True
- False
- True
- False
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Explanations:
- If we can write a number as a ratio (or fraction) of two whole numbers, then that number is considered rational. The denominator can never be 0. In the case of 6/4, this is a rational number. Therefore, the statement "6/4 is irrational" is false.
- This is a true statement. We cannot write sqrt(2) as a fraction of two integers. The proof of this is fairly lengthy, but one way is to use a proof by contradiction to show that sqrt(2) = a/b is impossible. Since we cannot make sqrt(2) into a ratio of two integers, we consider it irrational.
- This is a true statement. Any terminating decimal is always rational. In this case, 1.3 = 13/10.
- This is false. Any repeating decimal can be converted to a fraction through a bit of work. It turns out that 17.979797... = 1780/99 which makes the value to be rational.
- Any integer is rational. We can write the integer over 1. So something like -16 is the same as -16/1, showing how it is rational. So that's why this statement is true.
- This statement is false because we found true statements earlier.
Answer:
i think is 26 i may be wrong tho
Answer:
P(X<118.81)=0.0803
Step-by-step explanation:
Assuming the distribution for the mean life is approximately normal, with mean 120 months and variance 64 months^2, we can calculate the parameters for a sampling distribution with sample size = 89 computers.
The sampling distribution mean will be equal to the mean for a single computer:
The standard deviation will be adjusted by the sample size as:
With these parameters, we can calculate the z-score for X=118.81.
Then, the probability that the mean of a sample of 89 computers is less than 118.81 months is:
