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Find the value of y for a given value of x, if y varies directly with x.
1 answer:
Answer:
The value of y is 92 . The complete steps of the solution is provided below.
Step-by-step explanation:
We are given with
* y varies directly with X
* If y=128 when x=64.
The equation for direct variation equation is y= k x.
Where 'k' is constant of variation.
By putting the values of x and y, we can find the value for k.
→ 128 = k (64)
Divide both sides by 64.
→ = k
Simplify it.
→ 2= k or k =2
Plug in back 'k' as 2 into the equation y=k x.
We get y=2 x.
We are asked to find the value y when x=46.
Plug in x as 46 into the equation.
⇒ y=2(46)
⇒ y= 92
Thus the answer is 92.
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Answer:
The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.
Step-by-step explanation:
Confidence interval normal
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
That is z with a pvalue of , so Z = 2.054.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 312 - 5.35 = 306.65 minutes
The upper end of the interval is the sample mean added to M. So it is 312 + 5.35 = 317.35 minutes
The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.