A person leaves her camp at 7:00 a.m. to hike back to her car. The distance from the car in kilometers y after x hours of hiking
can be modeled by the linear function y = − 3 x + 18 . What does the x -intercept of the function mean.
1 answer:
Answer:
The x axis in the function represents, the number of hours after 7:00 A.M. , the person reaches her car. The person reaches the car at 1:00 P.M.
Step-by-step explanation:
The x axis denotes the no. of hours and and the y axis denotes the distance from the car.
X Intercept is a point where the line intersects the X axis, we can easily notice the fact that at that point, y=0 ie. The person has reached his/her respective car.
The line intersects x at 6.
Therefore, a total of 6 hours are taken from the beginning of the hike.
Thus, the person reaches the car at 1:00 P.M.
You might be interested in
Answer:
(a) The value of <em>k</em> is .
(b) The probability that at most three forms are required is 0.40.
(c) The probability that between two and four forms (inclusive) are required is 0.60.
(d) is not the pmf of <em>y</em>.
Step-by-step explanation:
The random variable <em>Y</em> is defined as the number of forms required of the next applicant.
The probability mass function is defined as:
(a)
The sum of all probabilities of an event is 1.
Use this law to compute the value of <em>k</em>.
Thus, the value of <em>k</em> is .
(b)
Compute the value of P (Y ≤ 3) as follows:
Thus, the probability that at most three forms are required is 0.40.
(c)
Compute the value of P (2 ≤ Y ≤ 4) as follows:
Thus, the probability that between two and four forms (inclusive) are required is 0.60.
(d)
Now, for to be the pmf of Y it has to satisfy the conditions:
<u>Check condition 1:</u>
Condition 1 is fulfilled.
<u>Check condition 2:</u>
Condition 2 is not satisfied.
Thus, is not the pmf of <em>y</em>.