Answer:
y = (1/3)x - 1
Step-by-step explanation:
The product of the slopes of perpendicular lines is -1. That makes the slopes of perpendicular lines negative reciprocals. Since line p has slope -3, the slope of line t is 1/3. Also, line t passes through point (9, 2).
y = mx + b
m = slope
y = (1/3)x + b
Now we replace x and y with the x- and y-coordinates of the given point, respectively, and we solve for b.
2 = (1/3)(9) + b
2 = 3 + b
b = -1
Now we replace b with -1.
y = (1/3)x - 1
Answer:
Factors are (x-1), (x+1), and (x+2).
Step-by-step explanation:
Let's solve your equation step-by-step.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Simplify: (Show steps)<span><span><span>−4.5x</span>+72</span>=<span><span>−7.5x</span>+42</span></span>Step 2: Add 7.5x to both sides.<span><span><span><span>−4.5x</span>+72</span>+7.5x</span>=<span><span><span>−7.5x</span>+42</span>+7.5x</span></span><span><span>3x+72</span>=42</span>Step 3: Subtract 72 from both sides.<span><span><span>3x+72</span>−72</span>=42−72</span><span>3x=−30</span>Step 4: Divide both sides by 3.<span><span>3x3</span>=<span>−303</span></span><span>x=<span>−<span>10</span></span></span>
Ah, thank you. your question truly made the most of sense.
Answer:
The standard deviation of the sample mean differences is _5.23_
Step-by-step explanation:
We have a sample of a population A and a sample of a population B.
For the sample of population A, the standard deviation 
is
The sample size 
is:
.
For the sample of population B, the standard deviation 
is
The sample size 
is:
.
Then the standard deviation for the difference of means has the following form:
Finally
