Answer:
$ 158.95
Step-by-step explanation:
Reduction = 25% of 199
= 0.25 * 199
= $ 49.75
Price of the tablet after reduction = 199 - 49.75 = $ 149.25
Sales tax = 6.5% of 149.25
= 0.065 * 149.25
= $ 9.70
Total price that he need to pay = 149.25 + 9.70
= $ 158.95
Answer with Step-by-step explanation:
Since we have given
n = 16
a) Describe the sampling distribution for the sample mean.
The sampling distribution of the mean is the population's mean from where the items are sampled.
It would be
b. What is the standard error?
c. For 90% confidence, what is the margin of error?
Degrees of freedom = v - 1= 16-1 = 15
Using t-table, 1.753 cuts 5% level of significance in each tail.
so, Margin of error would be
d. Based on the sample results, create the 90% confidence interval and interpret.
So, 90% confidence interval would be
(103.86,116.136)
62=2w+2l
120= 2(2w)+ 2(l+21)
120=4w+2l+42
78= 4w+2l
39=2w+l
39-2w=l
Use substitution
62=2w+2(39-2w)
62= 2w+78-4w
62= -2w+78
-16=-2w
8=w
Plug w in
62=2(8)+2l
62=16+2l
46=2l
23=l
Final answer: Width=8, Length=23
Answer:
Step-by-step explanation:
Beth earns $54 per day and $10 for each extra hour she works. Ray earns $60 per day and $8 for each extra hour he puts in. They both work five days a week. The equations show their weekly earnings with respect to how many extra hours they work.
Beth: y = 270 + 10x
Ray: y = 300 + 8x
This system is graphed below.
Answer:
63+22i
Step-by-step explanation:
(8-3i) (6+5i)
first: 8*6 = 48
outer: 8*5i = 40i
inner: -3i*6 = -18i
Last: -15i^2 = -15(-1) = 15
Add them together = 48+40i-18i+15
= 63+22i