Answer:
C. 45%
Step-by-step explanation:
Divide 36 by 80 to get 0.45 (45%)
Answer:
![\boxed{\bold{4mn^2\left(8m^2n^2+5\right)}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cbold%7B4mn%5E2%5Cleft%288m%5E2n%5E2%2B5%5Cright%29%7D%7D)
Step-by-step explanation:
Apply exponent rule: ![\bold{a^{b+c}=a^ba^c}](https://tex.z-dn.net/?f=%5Cbold%7Ba%5E%7Bb%2Bc%7D%3Da%5Eba%5Ec%7D)
![\bold{m^3n^4=mm^2n^2n^2}](https://tex.z-dn.net/?f=%5Cbold%7Bm%5E3n%5E4%3Dmm%5E2n%5E2n%5E2%7D)
= ![\bold{32mm^2n^2n^2+20mn^2}](https://tex.z-dn.net/?f=%5Cbold%7B32mm%5E2n%5E2n%5E2%2B20mn%5E2%7D)
Rewrite 20 as ![\bold{5\cdot \:4}](https://tex.z-dn.net/?f=%5Cbold%7B5%5Ccdot%20%5C%3A4%7D)
Rewrite 32 as ![\bold{8\cdot \:4}](https://tex.z-dn.net/?f=%5Cbold%7B8%5Ccdot%20%5C%3A4%7D)
= ![\bold{8\cdot \:4mm^2n^2n^2+5\cdot \:4mn^2}](https://tex.z-dn.net/?f=%5Cbold%7B8%5Ccdot%20%5C%3A4mm%5E2n%5E2n%5E2%2B5%5Ccdot%20%5C%3A4mn%5E2%7D)
Factor out common term ![\bold{4mn^2}](https://tex.z-dn.net/?f=%5Cbold%7B4mn%5E2%7D)
= ![\bold{4mn^2\left(8m^2n^2+5\right)}](https://tex.z-dn.net/?f=%5Cbold%7B4mn%5E2%5Cleft%288m%5E2n%5E2%2B5%5Cright%29%7D)
- Mordancy
Step-by-step explanation:
z = b - ma
z - b = ma
z - b / m = a
Answer:
A = pi * r^2 = pi * 5^2 = 25*pi = 78.54 in²
Answer:
We conclude that the sonnets were written by by a certain Elizabethan poet.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 8.9
Sample mean,
=10.2
Sample size, n = 6
Alpha, α = 0.05
Population standard deviation, σ = 2.5
First, we design the null and the alternate hypothesis
We use One-tailed z test to perform this hypothesis.
a) Formula:
Putting all the values, we have
Now,
b) We calculate the p value with the help of z-table.
P-value = 0.1003
The p-value is greater than the significance level which is 0.05
c) Since the p-value is greater than the significance level, there is not enough evidence to reject the null hypothesis and accept the null hypothesis.
Thus, we conclude that the sonnets were written by by a certain Elizabethan poet.