Hello there! :)
<u><em>Answer:
</em></u>
<u><em>*The answer must have a fraction.*</em></u>
Step-by-step explanation:
Lesson: Zero and Negative Exponents.
Distributive property: a(b+c)=ab+ac
First, you apply exponent rule.
![a^b*a^c=a^b^+^c](https://tex.z-dn.net/?f=a%5Eb%2Aa%5Ec%3Da%5Eb%5E%2B%5Ec)
![7^-^3](https://tex.z-dn.net/?f=7%5E-%5E3)
![\frac{1}{7^3}=7^3=7*7*7=343](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B7%5E3%7D%3D7%5E3%3D7%2A7%2A7%3D343)
Final answer: ![\frac{1}{343}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B343%7D)
Hope this helps!
Thanks!
-Charlie
Have a great day!
:)
:D
P=2(l+w) hope this helps :)
Answer:
c = 88
Step-by-step explanation:
c/88 = 44/19
19×c = 44×38
19c = 1672
c = 88
Answer:
step 5
Step-by-step explanation:
Answer: b. Yes
Step-by-step explanation: Confidence Interval for a population proportion is calculated as:
p ± ![z\sqrt{\frac{p(1-p)}{n} }](https://tex.z-dn.net/?f=z%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%20%7D)
where
p is the sample proportion
n is sample size
z is z-score, in this case, as it is 95%, z-score=1.96
Calculating confidence interval:
![p=\frac{152}{468}](https://tex.z-dn.net/?f=p%3D%5Cfrac%7B152%7D%7B468%7D)
p = 0.3248
0.3248 ± ![1.96\sqrt{\frac{0.3248(0.6752)}{468} }](https://tex.z-dn.net/?f=1.96%5Csqrt%7B%5Cfrac%7B0.3248%280.6752%29%7D%7B468%7D%20%7D)
0.3248 ± ![1.96\sqrt{0.000468}](https://tex.z-dn.net/?f=1.96%5Csqrt%7B0.000468%7D)
0.3248 ± 0.0425
Interval: 0.2823 < μ < 0.3673
The interval means we are 95% sure the true mean is between 0.2823 and 0.3673. As the campaign claims a proportion of no more than 0.32 of the voters wants to see Mayor Waffleskate defeated and the number is in the confidence interval, the claim is supported.