Answer:
a) 3/4
b) 3/4
c) 3/4
d) all are 3/4
Step-by-step explanation:
The slope of a line is defined as the change in y divided by the change in x. This is often referred to as "rise over run":
slope = Δy/Δx = "rise"/"run"
The triangles are drawn against the line so that you can use them to identify values of "rise" (vertical change) and "run" (horizontal change) between two points on the line.
__
<h3>a)</h3>
The slope of the segment AC is found by dividing the "rise" (BC = 3) by the "run"(AB = 4)
slope of AC = BC/AB = 3/4
__
<h3>b) </h3>
The slope of FH is similarly computed. Here, it is made a little more difficult, because you must estimate the value of GH.
slope of FH = GH/FG = 1.5/2 = 0.75 = 3/4
__
<h3>c) </h3>
The slope of CE is ...
slope of CE = DE/CD = 6/8 = 3/4
__
<h3>d)</h3>
The slopes in a), b), c) are all 3/4.
You can reasonably draw the conclusion that the slope of a line is the same everywhere. A line has constant slope.
Total applications = 75
Apartments on north side of town = 4
Apartments on South side of town = 5
First person has a 4/75 chance of getting a house in the north side
P(A) = 4/75
And second person has a 3/74 chance of getting a house in the north side
P(B) = 3/74
Probability that 2 qualified applicants will be selected for the north side of town = P(A∩B) = P(A) x P(B) = (4 ÷ 75) x (3 ÷ 74) = 0.05333 x 0.04054 = 0.00216
First person has a 5/75 chance of getting a house in the south side
P(A) = 5/75
And second person has a 4/74 chance of getting a house in the south side
P(B) = 4/74
Probability that 2 qualified applicants will be selected for the south side of town = P(A∩B) = P(A) x P(B) = (5 ÷ 75) x (4 ÷ 74) = 0.06666 x 0.05405 = 0.00360
If <em>f(x)</em> = 1/<em>x</em> - 2, then the average rate of change between <em>x</em> = 4 and <em>x</em> = 8 is
(<em>f</em> (8) - <em>f</em> (4)) / (8 - 4) = ((1/8 - 2) - (1/4 - 2)) / 4 = -1/16
If you meant <em>f(x)</em> = 1/(<em>x</em> - 2), then it would be
(<em>f</em> (8) - <em>f</em> (4)) / (8 - 4) = (1/(8 - 2) - 1/(4 - 2)) / 4 = (1/6 - 1/2) / 4 = -1/12
<em>Make sure to check which one is the correct function!</em>
Step-by-step explanation:
Since it is given that it costs $2.34 for every $1000 face value, and it was given that he wanted to buy a $75000 plan, multiplying $2.34 by 75 (75000 includes 75 $1000 face value), it should yield us the annual premium.
2.34 * 75 = $175.50
We don't need to multiply it by 10 years as only the annual premium is being solved for.
8070, because when it is a positive exponent you have to move the exponent to the right. When it is a negative exponent, you would move it to the left. Hope this helps :)
