<u>Answer:</u>
Option D is the correct answer.
D. This is a linear function because there is a common difference of 2.
<u>Step-by-step explanation:</u>
Linear function--
A function is said to be linear if the rate of change is constant.
i.e. the function is increasing by a fixed constant.
Here the table is given by:
Hour (x) Number of Customers f(x)
1 2
2 4
3 6
From the table of values we observe that as the value of increasing by 1 the value of y is increasing by 2.
i.e. the rate of change is constant i.e. 2.
Also, the common difference is 2.
Since,
4 - 2 = 2
and
6 - 4 = 2
Hence, the table represents a linear function.
The goal is to find the area of a pentagon with side length 8.
We can find the area of a pentagon very easily by splitting it up into 10 congruent right triangles with the apothem as the height. The base of one of these triangles would be 4. The base angle would be 54 degrees, because it's half of the angle of a regular pentagon.
Using trig we find that the height of this triangle/apothem of the pentagon is equal to 4tan(54 degrees), which is about 5.506.
The area of a triangle is bh/2, so...4*5.506/2 = 11.011 in².
Times 10 triangles is 110.11 in².
Answer:
Step-by-step explanation:
a) probability a person admitted to the hospital will suffer a treatment-caused injury due to negligence
P(injury) = 4%
P(negligence) = 1/4 = 0.25
We need to find probability (injury)(negligence)
P(injury) * P(negligence) = 0.04*0.25 = 0.01
b) probability a person admitted to the hospital will die from a treatment-caused injury
P(injury) = 4%
P(death) = 1/7
P(Injury) *P(death) = 0.04/7 = 0.00571
c) In the case of a negligent treatment-caused injury, what is the probability a malpractice claim will be paid
P(claim) = 1/7.5
P(payment) = 1/2
P(claim)*P(payment) = 1/7.5 * 1/2 = 0.06
Answer:
Step-by-step explanation: x - 6
The given equation can be re-written as y = ---------
-3
Arbitrarily choose x = 0. Then:
x - 6 0-6
y = --------- = ----------- = 2, so (0, 2) is a point on the graph which is also the
-3 -3 y-intercept
Arbitrarily choose x = 6. Then y = 0, and (6, 0) is another point on the graph
which happens to be the x-intercept
arbitrarily choose x = 12. Then y = (12 - 6) / (-3) = -2. Then (12, -2) is
another point on the
graph.
Plot (12, -2), (6, 0) and (0, 2). Draw a line through these three points.
Answer:
The answer is 24.
Step-by-step explanation:
