Answer:
- 1296 pounds per square inch
Step-by-step explanation:
<u>Direct variation equation:</u>
<u>In this case it is:</u>
- y = kx², where y- strength, x- depth of the beam, k- coefficient
<u>Substitute the given values and solve for k:</u>
- 3600 = k*10²
- 3600 = 100k
- k = 3600/100
- k = 36
<u>The equation becomes:</u>
<u>Now, find the value of y, when x is 6:</u>
<u><em>Note, I took the depth as 6 inches but the question is a bit confusing by saying "four six inches". If it is 4 inches then your answer will be:</em></u>
Answer:
A sample size of 3 is required.
Step-by-step explanation:
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 Z-table as such z has a p-value 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.
Based on previous evidence, he believes that the standard deviation is approximately 3.6 hours.
This means that 
He would like to be 96% confident that his estimate is within 5 hours of the true population mean. Use RStudio to determine how large of a sample size is required without rounding any interim calculations.
The sample size needed is of n, and n is found when M = 5. So
Rounding up:
A sample size of 3 is required.
Answer:
The answer would be D
Step-by-step explanation:
To find how many Katie has, you would have to double it ( times by 2 ). Then subtract 3, since Alejandro has three less than twice as many as Katie.
