Answer:
we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.
Step-by-step explanation:
H0 : μ = 582
H1 : μ < 582
Test statistic :
T = (xbar - μ) ÷ σ/√n
Xbar = 515 ; n = 20 ; σ = 120
T = (515 - 582) ÷ 120/√20
T = -67 / 26.832815
T = 2.50
Pvalue at t score = 2.50 ; df = 19 is 0.0187
At α = 0.0187
Pvalue > α ; Hence, we fail to reject the Null
Hence, we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.
Answer:
y=(8/9)x + 4 and 2/3
Step-by-step explanation:
the slope of this line:
change in y/change in x
change in y=6-(-2)=8
change in x=-6-3=-9
change in y/change in x= 8/9
8/9 is the slope, so you plug it in for m in the standard form equation. You then use one point's x and y values to substitute for x and y in the equation, and solve for b, which is the y intercept
y=mx+b
y=(8/9)x+b
-2=(8/9)*3+b
-2=8/3+b
-4 and 2/3=b
Answer:
C
Step-by-step explanation:
The general rule for the quadratic function is

Use the data from the table:

We get the system of three equations:

Subtract these equations:

From the first equation

Substitute it into the second equation:

So,

The quadratic function is

It should take approximately 27 days using the water at an average of. 450 gallons per day