A. The scores in order are: 10, 12, 13, 14, 14, 16, 18, 23, 24, 26. The range is 26 - 10 = 16. The mean is the sum divided by 10, which is 17. The median is between 14 & 16, which is 15. The mode is 14, since it is repeated twice.
B. The variance is calculated by subtracting each score from the mean, squaring, and adding all such squares. Then divide by the number of terms (10) to get 27.6 Take the square root to get the standard deviation, which is 5.25.
C. This is for a population, since these are all 10 games that Jason played. (If it were a sample, we would divide by 9 only)
D. The mean of 17 is higher than the median of 15 and the mode of 14. This implies a left-skewed distribution. However, the SD of 5.25 is quite high relative to the mean of 17, so the distribution is not that clearly defined yet (more data points would make it clearer).
Knowing that x varies directly with y, we know the basic skeleton of the equation is
y = mx.
To find
m, plug in the known coordinate
(8,10), where the
x-coordinate is
8 and the
y-coordinate is
10.
Then, plug in m to the equation to get
y = (5/4)x.
Finally, plug in the y-coordinate
18 to the equation and solve for x!
Your exact answer is
x = 72/5. However, if your teacher prefers decimals, then
x = 14.4Hope this helps!
Answer:
Step-by-step explaA bag of marbles contains only purple and yellow marbles. The bag has three times as many yellow marbles as purple. The bag contains 164 total marbles. Write an equation or system of equations to find out how many of each color of marble is in the bag. Define your variable(s) and expressions. Show how you checked your answer.
2nation:
Answer:
a)
Step-by-step explanation:
Cost function = revenue function - profit function
= -0.3x² + 150x - [-0.5x² + 250x - 300]
= -0.3x² + 150x + 0.5x² - 250x +300
= -0.3x² + 0.5x² + 150x - 250x + 300 {Combine like terms}
= 0.2x² - 100x + 300
