Answer:
1st one 6.4
Step-by-step explanation:
C^2= a^2 +b^2
C^2 = 5^2 + 4^2
C^2 = 25 + 16
C^2= 41
Root of 41 is 6.4
A, dilation because the shape got larger. The other three options just move it around
Answer:
132%
Step-by-step explanation:
The population of Peru = 10904
The population of Franklin = 25248.
Difference = 25248-10904=14,344
Expressing as a percentage of the population of Peru

=132%
Therefore, the population of Franklin is 132% more than the population of Peru.
Answer:
The sample size required is, <em>n</em> = 502.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population proportion is:

The margin of error is:

Assume that 50% of the people would support this political candidate.
The margin of error is, MOE = 0.05.
The critical value of <em>z</em> for 97.5% confidence level is:
<em>z</em> = 2.24
Compute the sample size as follows:

![n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ctimes%20%5Csqrt%7B%5Chat%20p%281-%5Chat%20p%29%7D%7D%7BMOE%7D%5D%5E%7B2%7D)
![=[\frac{2.24\times \sqrt{0.50(1-0.50)}}{0.05}]^{2}\\\\=501.76\\\\\approx 502](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B2.24%5Ctimes%20%5Csqrt%7B0.50%281-0.50%29%7D%7D%7B0.05%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D501.76%5C%5C%5C%5C%5Capprox%20502)
Thus, the sample size required is, <em>n</em> = 502.
Remember you can do anyting to an equation as long as ou do it to both sides
-6x+4=-50
minus 4 both sides
-6x=-54
divide both sides by -6
x=9
5x+6=-44
minus 6 both sides
5x=-50
divide both sides by 5
x=-10
-3(7+6x)=-201
normally you would distribute (that works) but it's easier to divide both sides by -3
7+6x=67
minus 7 both sides
6x=60
divide by 6 both sides
x=10