In order to solve this problem, we must solve an equation.
First, we need to define our unknown.
Let's call our number "n".
So, the sum of the number and 6 is the same as saying n+6
Then we need to multiply it by 2 (since it's twice the sum)
2(n+6)
This whole thing is equal to three times of the difference of the number and 8
n-8 is equal to the difference between the number and 8, then we need to multiply it by three.
3(n-8)
now, we set both sides equal and solve
The number is 36
Answer:
The standard deviation would have to be 0.05.
Step-by-step explanation:
We can solve this problem using the 68-95-99.7 rule for normal distributions:
The rule states that:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
What would the value of σ have to be to ensure that 95% of all readings are within 0.1° of μ?
This means that 2 standard deviations would need to be within 0.1 of the mean. So
The standard deviation would have to be 0.05.