The base angles are both equal to (180-70) / 2 = 55 degrees
and 1/2 base = 123
so we have tan 55 = a / 123 where a = altitude
a = 123 * tan55 = 175.66
Answer: (17.42, 20.78)
Step-by-step explanation:
As per given , we have
Sample size : n= 9
years
Population standard deviation is not given , so it follows t-distribution.
Sample standard deviation : s= 1.5 years
Confidence level : 99% or 0.99
Significance level : 
Degree of freedom : df= 8 (∵df =n-1)
Critical value : 
The 99% confidence interval for the population mean would be :-


Hence, the 99% confidence interval for the population mean is (17.42, 20.78) .
Answer: The first one, the last one,
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given



Required
Solve for x
Since B is in between both points, then:

This gives


Divide by 3

Nick has tennis practice every sixth day = 6
Mark has tennis practice every 4th day = 4
They both had tennis practice on = 31st July
We have to find when will be the next time that they both have practice on the same day?
For this, we will find the LCM of 4 and 6
So, LCM of 4 and 6 is 12.
So, it will be 12 days after 31st July, that they will practice on the same day.
So it is 12th August.