Y · y = y²
when multiplying exponents, you add them together
5x+45=1605
-45 from both sides
5x=1560
divide each side by 5
x=312
Answer:
150 pounds
the weight is directly proportional to the volume. hence:
138/23 = 6
now, 25*6 = 150
Answer and Step-by-step explanation: The <u>critical</u> <u>value</u> for a desired confidence level is the distance where you must go above and below the center of distribution to obtain an area of the desired level.
Each sample has a different degree of freedom and critical value.
To determine critical value:
1) Calculate degree of freedom: df = n - 1
2) Subtract the level per 100%;
3) Divide the result by 2 tails;
4) Use calculator or table to find the critical value t*;
For n = 5 Level = 90%:
df = 4
t =
= 0.05
Using t-table:
t* = 2.132
n = 13 Level = 95%:
df = 12
t =
= 0.025
Then:
t* = 2.160
n = 22 Level = 98%
df = 21
t =
= 0.01
t* = 2.819
n = 15 Level = 99%
df = 14
t =
= 0.005
t* = 2.977
The critical values and degree of freedom are:
sample size level df critical value
5 90% 4 2.132
13 95% 12 2.160
22 98% 21 2.819
15 99% 14 2.977
Answer:
(a)Tax = $78.40
(b)Delivery =$40
Step-by-step explanation:
A computer is advertised at $980 + tax + delivery.
(a) We want to determine 8% of $980
8%= ![\frac{8}{100}=0.08](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B100%7D%3D0.08)
Therefore: 8% of $980 =0.08 X 980 =$78.40
The Tax on the Computer = $78.40
(b)The total price is $1098.40
Recall:
Total Price = $980 + tax + delivery
1098.40 = 980 + 78.4 + Delivery
1098.40 = 1058.40+ Delivery
Subtract 1058.40 from both sides
1098.40- 1058.40= 1058.40-1058.40+ Delivery
Charge for Delivery =$40