Answer:
95% Confidence interval = (23.4,26.2)
Step-by-step explanation:
In this problem we have to develop a 95% CI for the mean.
The sample size is n=49, the mean of the sample is M=24.8 and the standard deviation of the population is σ=5.
We know that for a 95% CI, the z-value is 1.96.
The CI is
Given that:
James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3 .
To find:
The equation that can be used to solve for zach's age.
Solution:
Let the age of zach be Z.
Zach added 8 to his age = Z+8
And multiplied this sum by 3 = 3(Z+8)
James is 6 times older than his friend Zach = 6Z
Now,
Divide both sides by 3.
Therefore, the required equation is is age of zach is 8 years.
Step-by-step explanation:
Since, y varies directly as x:
Answer:
1.93433
Step-by-step explanation:
Since all triangles have an interior angle sum of 180, the second angle is 45. this also means that x and y are equal. Using the pythagorean theorem, we can produce the equation . dividing both sides by two we get
. when we take the square root of root 14 we get 1.934335