Step-by-step explanation:
There was originally 8 pieces of pie.
Answer:
3969
Step-by-step explanation:
1. We assume, that the number 92 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 100% equals 92, so we can write it down as 100%=92. </span>
<span>4. We know, that x% equals 46 of the output value, so we can write it down as x%=46. </span>
5. Now we have two simple equations:
1) 100%=92
2) x%=46
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=92/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 46 is what percent of 92
100%/x%=92/46
<span>(100/x)*x=(92/46)*x - </span>we multiply both sides of the equation by x
<span>100=2*x - </span>we divide both sides of the equation by (2) to get x
<span>100/2=x </span>
<span>50=x </span>
x=50
<span>now we have: </span>
<span>46 is 50% of 92
I hope this helps!
</span>
Answer:
(-4 ,3)
Step-by-step explanation:
Point a lies on -4
Point B lies in between 2 and 4 so lets call it 3
Given Information:
Number of lithium batteries = n = 16
Mean life of lithium batteries = μ = 645 hours
Standard deviation of lithium batteries = σ = 31 hours
Confidence level = 95%
Required Information:
Confidence Interval = ?
Answer:
Step-by-step explanation:
The confidence interval is given by
Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of
tα/2 = (1 - 0.95) = 0.05/2 = 0.025
and the degree of freedom is
DoF = n - 1 = 16 - 1 = 15
The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)
Therefore, the 95% confidence interval is 628.5 to 661.5 hours
What does it mean?
It means that we are 95% confident that the mean life of 16 lithium batteries is within the interval of (628.5 to 661.5 hours)
