Since <span>using ≤, ≥</span>, it means that the lines are included, the line is graphed as a solid line. When you have plain > or <, the line is not included, so you use a dashed line.
Part a:
x + y = 55
y = x + 25
part b:
jackie runs 15 minutes every day.
part c:
it is not possible for jackie to spend 45 minutes a day dancing, since the time she spends dancing and running is 55 minutes, and we know that it takes 15 minutes to run
step-by-step explanation:
let's call and while jackie is dancing
let's call x while jackie is running
then we know that jackie runs and dances for a total of 55 minutes every day
this means that:
x + y = 55
we also know that jackie dances 25 minutes more than she runs.
this meant that:
y = x + 25
now we substitute the second equation in the first and solve for the variable x
x + x + 25 = 552x = 55-252x = 30x = 15
jackie runs 15 minutes every day.
now we find the value of the variable -y
15 + y = 55y = 55-15y = 40
note that it is not possible for jackie to spend 45 minutes a day dancing, since the time she spends dancing and running is 55 minutes, and we know that it takes 15 minutes to run
Answer:
The game's expected value is of -$1.5.
Step-by-step explanation:
Expected value:
Probability of each outcome multiplied by the outcome.
One out of 6 sides is 2:
1/6 probability of the player earning 45 - 9 = $36.
5/6 probability of the player losing $9. So
The game's expected value is of -$1.5.
Answer:
Range 40
Mean 99.4
Step-by-step explanation:
There is a mode since the number 104 shows up twice.
The median is not 100 because it is 102.
The range is 40 because 120 is the largest number and 80 is the smallest number.
So 120 - 80 = 40
The mean is 99.4 because when you add all the numbers up and then divide it by 10 you get 99.4
