Answer:
Her mistake is that she should plot the point (0, 5) first, not (1, -3)
Step-by-step explanation:
First I simplified the equation given.
y - 3 = 2 (x + 1)
y - 3 = 2x + 2
+3 +3
y = 2x + 5
Since 5 is our y-intercept we would want to graph that first, which would be (0, 5) as a point.
Hope this helps!
Answer:
The margin of error at 90% confidence is 0.5133 gram.
Step-by-step explanation:
Margin of error (E) = (critical value × sample standard deviation) ÷ sqrt(n)
sample standard deviation = 1.5 grams
confidence level = 90% = 0.9
significance level = 1 - C = 1 - 0.9 = 0.1 = 10%
n (sample size) = 25
degree of freedom = n - 1 = 25 - 1 = 24
critical value (t) corresponding to 24 degrees of freedom and 10% significance level is 1.711
E = (1.711×1.5) ÷ sqrt(25) = 2.5665 ÷ 5 = 0.5133 gram
We are looking for the hypotenuse in this right triangle. The reference angle is 41 degrees. We have that angle and the side that is opposite that angle, 22, so the trig identity that we will use that relates the side opposite to the hypotenuse is sin. Our ratio would be set up like this:

. Solving for xy we will have

, choice D from above.