The answer is
26 degrees
I just did the test hope this helps :)
The statements which are correct are-
- The number of miles increases as time increases.
- The number of hours causes a change in the number of miles ridden.
- The variable h is the independent variable.
Step-by-step explanation
The above table displays the relationship between the time taken in hours ("h") by Mayon to cover the distance (miles "m").
It means that the distance is dependent on time in hours. Hence, the variable "m" is a dependent variable since it depends on time "h" for which bicycle is being ridden.
Similarly, the variable "h" is an independent variable.
As seen from the table, the value of "m" continuously increases for the value of "h" and thus the number of hours causes a change in the distance ridden.
The x-intercept represents the points in which the quadratic function passes through the x-axis. The maximum value represents the ordered pair with the highest range(y-value).
Interval increasing: (Negative Infinity-10)
Interval Decreasing: (10-Negative Infinity)
Part B: 8/5
Note: I am assuming the scale factor of the graph is 2.
I'm going to assume the joint density function is
a. In order for to be a proper probability density function, the integral over its support must be 1.
b. You get the marginal density by integrating the joint density over all possible values of :
c. We have
d. We have
and by definition of conditional probability,
e. We can find the expectation of using the marginal distribution found earlier.
f. This part is cut off, but if you're supposed to find the expectation of , there are several ways to do so.
- Compute the marginal density of , then directly compute the expected value.
- Compute the conditional density of given , then use the law of total expectation.
The law of total expectation says
We have
This random variable is undefined only when which is outside the support of , so we have
Answer:37.5 hrs
Step-by-step explanation:
15/4 = 3.75
3.75*10=37.5