9514 1404 393
Answer:
a. m = 2; y intercept = (0, 4); y = 2 x + 4
Step-by-step explanation:
The slope can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (18 -4)/(7 -0) = 14/7
m = 2
The y-intercept is the first given point: (0, 4).
The equation for the line in slope-intercept form is
y = mx + b
Here, we have m=2 and b=4, so the equation is ...
y = 2x +4
Answer: 72
Step-by-step explanation:
Prism area = b * h
base = 4 * 3 = 12
height = 6
12 * 6 = 72
Answer:
-4
Step-by-step explanation:
-129 = 6(7 + 7x) - 3
Distribute the 6 into the parentheses.
-129 = 42 + 42x - 3
Add like terms.
-129 = 39 +42x
Subtract 39 from both sides.
-168 = 42x
Divide 42 from both sides.
-4 = x
Variance is the standard deviation squared but we're not going to use that now. Let's first calculate the mean:
mean = (17+13+13+22+11+20)/6 = 16.
Now for each value, let's see how far it is from this mean. We'll square these distances and average them. That's our variance.
17 distance 1 squared = 1
13 distance 3 squared = 9
13 distance 3 squared = 9
22 distance 6 squared = 36
11 distance 5 squared = 25
20 distance 4 squared = 16
Now average these outcomes:
variance = (1+9+9+36+25+16)/6 = 16.
So the variance by coincidence is the same as the mean.
Answer C is your answer.
Answer with explanation:
3:1 means that person 1's income is three times person 2's income.
E.g.: if person 1 gets 150 per hour, person 2 gets 30 per hour.
1:3 means that person 1's income is one third of person 2's income.
E.g.: if person 1 gets 40 per hour, person 2 gets 120 per hour.
