Answer:
The answer is A (y = 2x - 2)
Step-by-step explanation:
B and D aren't correct because the y-intercept is a positive 2 instead of negative 2 like the graph shown. We're now left with A and C. Go on one point of the graph and count up or down to go on the same y value as the other point. Go left or right and count until you go to the same point. Remember that the slope equation is rise/run. Rise meaning up or down. Run meaning left or right.
Answer:
alternate angle, opposite angles are the same, 3x-3 = 147
x = 144/3 , x =48
Step-by-step explanation:
Answer:
abc
Step-by-step explanation:
Answer:
Step-by-step explanation:
-2(6+s) ≥ -15 -2s
step 1: first remove the parenthesis
-12 - 2s ≥ -15 -2s
step 2: add +12 to each side to combine like and unlike terms
-12 - 2s + 12 ≥ 15 - 2s +12
= -2s ≥ 27 - 2s
step 3: then add +2s to each side to obtain unknown sides
-2s + 2s ≥ 27 -2s + 2s
0 ≥ 27 + 0
Answer: No solution
In Summary
Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
Step 2 Simplify by combining like terms on each side of the inequality.
Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
Step 4 Divide each term of the inequality by the coefficient of the unknown. If the coefficient is positive, the inequality will remain the same. If the coefficient is negative, the inequality will be reversed.
Step 5 Check your answer.
Answer:
The desired sample size is 97.
Step-by-step explanation:
Assume that 50% people in the community that supports the political candidate.
It is provided that the candidate wants a 10% margin of error (MOE) at a 95% confidence level.
The confidence interval for the population proportion is:

Then the margin of error is:

Compute the critical value of <em>z</em> as follows:

*Use a <em>z</em>-table.
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%20%7D%7BMOE%7D%5D%5E%7B2%7D)
![=[\frac{1.96\times \sqrt{0.50(1-0.50)} }{0.10}^{2}\\\\=[9.8]^{2}\\\\=96.04\\\\\approx 97](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B1.96%5Ctimes%20%5Csqrt%7B0.50%281-0.50%29%7D%20%7D%7B0.10%7D%5E%7B2%7D%5C%5C%5C%5C%3D%5B9.8%5D%5E%7B2%7D%5C%5C%5C%5C%3D96.04%5C%5C%5C%5C%5Capprox%2097)
Thus, the desired sample size is 97.