It's not clear where point Y is located. If Y is the midpoint, and Y is on line XZ, then we can say that XY = 25 and YZ = 25 (since Y cuts XZ in half; the two equal portions are XY and YZ)
I'm using the segment addition postulate XY+YZ = XZ
However, all of this is based on the assumption that Y is the midpoint and on line XZ.
It is trustworthy if it is a source that is seen often with a recent date.
Answer:
The 90% confidence interval for the population mean is (300.78, 315.22).
Step-by-step explanation:
We have to calculate a 90% confidence interval for the mean.
The population standard deviation is know and is σ=17.
The sample mean is M=308.
The sample size is N=15.
As σ is known, the standard error of the mean (σM) is calculated as:
The z-value for a 90% confidence interval is z=1.645.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 90% confidence interval for the population mean is (300.78, 315.22).
Answer:
4x-y=18
Step-by-step explanation:Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.
4
x
−
18
=
y
Move y to the left side of the equation because it contains a variable.
4
x
−
18
−
y
=
0
Move 18 to the right side of the equation because it does not contain a variable.
4
x
−
y
=
18
Answer:
£1054.729
Step-by-step explanation:
To find compound interest you need to use the equation 1000(1.027)^x.
To find the interest rate (1.027):
100 + 2.7 = 102.7
102.7 / 100 = 1.027
The value of x is the amount of months if no payment is made in this situation, so 2 would be the x value for this problem.
Hope this helps!