Answer:
Step-by-step explanation:
The cost of an adult ticket to the show is $5.5
The cost of a student ticket to the show is $4.25
A family is purchasing 2 adult tickets and 3 student tickets. This means that the total cost of 2 adult tickets would be
2 × 5.5 = $11
It also means that the total cost of 3 student tickets would be
3 × 4.25 = $12.75
The total cost of 2 adult tickets and 3 student tickets would be
11 + 12.75 = $23.75
If the family pays $25, the exact amount of change they should receive is
25 - 23.75 = $1.25
Answer:
b. The values X and Y are independent therefore, the mean is 34 seconds and the standard deviation is 50 seconds
Step-by-step explanation:
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Before the training, the mean running time for the students to run a mile was 402 seconds with standard deviation 40 seconds.
This means that 
After completing the program, the mean running time for the students to run a mile was 368 seconds with standard deviation 30 seconds.
This means that 
Which of the following is true about the distribution of X-Y?
They are independent, so:


This means that the correct answer is given by option b.
If the equation is in y = k*x form, then we have a direct proportional relationship between x and y. In this case, y = (1/5)*x is in the form y = k*x where k = 1/5. So this equation is proportional. The constant of proportionality is k = 1/5
In terms of a graph, you can tell if it has the following properties:
1) The graph goes through the origin (0,0) which is where the x and y axis cross
2) The graph is a straight line
You should find that graphing y = (1/5)x will satisfy both properties above, so that will visually confirm you have the right answer. The graph is shown in the attached image. The red line represents the graph of the equation. The red line goes through (0,0) and (5,1), which are point A and point B respectively.
Answer:
A) p =
d
Step-by-step explanation:
20(which is d) x
= 2 (which is p)
cross checking always helps!