Answer:
Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.
Step-by-step explanation:
Just took the test.
Answer:
D
Step-by-step explanation:
Range is the least number (50) subtracted from the greatest number (90)
90-50 = 40 (range)
The most dots is at 70 and the chart is symmetrical.
Answer:
a) y = 0.74x + 18.99; b) 80; c) r = 0.92, r² = 0.85; r² tells us that 85% of the variance in the dependent variable, the final average, is predictable from the independent variable, the first test score.
Step-by-step explanation:
For part a,
We first plot the data using a graphing calculator. We then run a linear regression on the data.
In the form y = ax + b, we get an a value that rounds to 0.74 and a b value that rounds to 18.99. This gives us the equation
y = 0.74x + 18.99.
For part b,
To find the final average of a student who made an 83 on the first test, we substitute 83 in place of x in our regression equation:
y = 0.74(83) + 18.99
y = 61.42 + 18.99 = 80.41
Rounded to the nearest percent, this is 80.
For part c,
The value of r is 0.92. This tells us that the line is a 92% fit for the data.
The value of r² is 0.85. This is the coefficient of determination; it tells us how much of the dependent variable can be predicted from the independent variable.
Answer:
x = 1
Step-by-step explanation:
1. Expand.
6x − 18 + 10 = 8x − 10
2. Simplify 6x − 18 + 10 to 6x − 8.
6x − 8 = 8x − 10
3. Subtract 6x from both sides.
−8 = 8x − 10 − 6x
4. Simplify 8x − 10 − 6x to 2x − 10.
−8 = 2x − 10
5. Add 10 to both sides.
−8 + 10 = 2x
6. Simplify −8 + 10 to 2.
2 = 2x
7. Divide both sides by 2.
1 = x
8. Switch sides.
x = 1
