Answer:
3?
Step-by-step explanation:
[0,5] since the function defined
1)
Julia = Sj = 30,500 + 500n
Aysha = Sa = 26,000 + 1000n
when will
Sj = Sa
30,500 + 500n = 26,000 + 1000n
30,500 - 26,000 = 1000n - 500n
4,500 = 1000n - 500n
4,500 = 500n
n = 9
so they will have same salary after 9 years
2) X + Y = 8000
5%X + 3.25%Y = 312.5
X = 8000 - Y
0.05 ( 8000 - Y ) + 0.0325Y = 312.5
400 - 0.05Y + 0.0325Y = 312.5
400 - 0.0275Y = 312.5
400 - 312.5 = 0.0275Y
87.5 = 0.0275Y
Y = 3,181.81
X = 8000 - Y = 8000 - 3,181.81 = 4,818.19
3) X + Y = 3050
8%X + 7.5%Y = 234
X = 3050 - Y
0.08(3050 - Y) + 0.075Y = 234
244 - 0.08Y + 0.075Y = 234
244 - 234 = 0.025Y
Y = 400
X = 3050 - Y = 3050 - 400 = 2650
The simplified form is: =4p2−18p+8
Step by Step:
(4p−2)(p−4)
=(4p+−2)(p+−4)
=(4p)(p)+(4p)(−4)+(−2)(p)+(−2)(−4)
=4p2−16p−2p+8
=4p2−18p+8
Answer:
Step-by-step explanation:
Notation
represent the sample mean
population mean (variable of interest)
s represent the sample standard deviation
n represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
For this case the 9% confidence interval is given by:
We can calculate the mean with the following:
And we can find the margin of error with:
The margin of error for this case is given by:
And we can solve for the standard error:
The critical value for 95% confidence using the normal standard distribution is approximately 1.96 and replacing we got:
Now for the 98% confidence interval the significance is and the critical value would be 2.326 and then the confidence interval would be: