Answer:
If a certain cone with a height of 9 inches has volume V = 3πx2 + 42πx + 147π, what is the cone’s radius r in terms of x?
Step-by-step explanation:
V = 3πx2 + 42πx + 147π
V=3π(x2 + 14x +49)
9.42(x2 + 14x +49)
9.42(x2 + 14x +14) -14 + 49= 0
9.42(x + 7)^2 + 35= 0
9.42(9.42(x + 7)^2 = - 35)9.42
(x + 7)^2 = - 35/9.42)
√(x + 7)^2=√- 35/9.42
x + 7 = - 1.927
x= - 1.927 - 7
x= - 8.927
V = 3π(- 8.927)^2 + 42π(- 8.927) + 147π
V=750.69 - 1177.29 + 461.58
<u>V=34.98</u>
h= 9 inches
V = 13πr2h
34.98 = 13(3.14) (r^2) (h)
34.98 = 40.82 (r^2) 9
34.98 = 367.38 r^2
34.98/ 367.38 = 367.38 r^2/ 367.38
0.095= r^2
Answer:
true
Step-by-step explanation:
Answer: c. sampling error
Step-by-step explanation:
- A population parameter is a number that is evaluated to describe the whole population . For example : Population mean , Population standard deviation etc.
- A sample statistic gives the estimate value of the population parameter. For example : Sample mean , sample proportion.
Since, the sample is a subset of population , so there are chances for unavoidable variation in sample mean from the population mean that varies from sample to sample .
This variation is known as sampling error.
∴ The difference between the value of the sample statistic and the value of the corresponding population parameter is called the sampling error .
Hence,the correct answer is c. sampling error .
The total purchase price including sales tax will be $1449.6136
<em><u>Explanation</u></em>
Festus bought a computer at $736.34, Apple iPad at $249.99 and a printer at $381.23
So, the <u>total price of all three items</u>
dollar.
The sales tax rate is 6%. So, <u>the amount of sales tax</u>
dollar.
Thus, the total purchase price including sales tax will be: (1367.56 + 82.0536) dollar = 1449.6136 dollar
Answer:
Step-by-step explanation:
3mn (m+y)
= 3
n + 3mny