Answer:
Null hypothesis; H0: µ ≥ 52 mpg
Alternative hypothesis; Ha: µ < 52 mpg
Step-by-step explanation:
We are told that the newest model gets an average of 52 miles per gallon and that the buyers believe that the average mpg was overstated.
This means the alternative hypothesis will have an average less than 52. Thus;
Null hypothesis; H0: µ ≥ 52 mpg
Alternative hypothesis; Ha: µ < 52 mpg
Hello.
To find the slope, use the formula:
m= (y2-y1) / (x2-x1)
Note: The 2s and 1s are NOT exponents or constants. They are simply markers.
So:
m= (5-(-4)) / (2-0)
m= (5+4) / 2
m = 9/2
Note: The order of the coordinates don't matter as long as y2 is aligned with x2 etc.
Example: (okay)
m= ((-4)-5) / (0-2)
m= -9/ -2
m= 9/2 because a negative multiplied or divided by a negative makes a positive.
Now, let's see what's not okay:
(2,5)(0,-4)
m= (5-(-4)) / (0-2)
NOT. OKAY. since the 1s and 2s aren't aligned.
Hope that helped.
**************************
Disclaimer:
Always double check with a reliable source, as mistakes can be made.
Answer:
x = 45 when y = 20 and z = 6
Step-by-step explanation:
The general formula here is y = kx/z²
If x = 24 and y = 6, z = 8, so:
y = kx/z² becomes 6 = k(24)/8², and:
6 1
k = ---------------- = -------------- = 16
24/64 4/64
Then y = 16x/z², and so, if y = 20 and z = 6 (check this!), then:
20 = 16x/36, or 16x = 720, or x = 45
x = 45 when y = 20 and z = 6
1. Take the two x-axis intersections.
For Q 31 it is:
x = -4 and x = 0
2. Reorganise the previous equations
x +4 = 0 and x = 0
3. Put the x side in brackets
x(x+4)
4. Done
—-
Q 32
x = -1
x = 5
x + 1 = 0
x - 5 = 0
(x+1)(x-5)
