The general equation is y-k=a(x-h)² where (h,k) is the vertex.
So in this case we have y+12=a(x+6)².
Plug in x=0, y=-24: -12=36a, and a=-⅓. Therefore y+12=-⅓(x+6)².
Answer:
0.00998 Inches
Step-by-step explanation:
Thickness of the light bulb filament = 0.01 Inch
Allowable error = 2%.
2% of 0.01 = 0.02 X 0.01 =0.0002 Inch
Therefore, the allowable thickness of the bulb filament
We can then calculate the least allowable thickness of the filament as:
The least allowable thickness of the filament is 0.00998 Inches.
I definitely would say True.
Let's use w to symbolize the weight of kittens. Given by the statement "each kitten weighs less than 3.5 ounces" we know that
1*w < 3.5
We can multiply both sides of the inequality by 7 to determine the total weights
7*(1*w) < 7*(3.5)
7*w < 24.5
Since there are 7 kittens, the combined weight of the kittens is 7w, therefore the above expression could be read as "The combined weight of the kittens is less than 24.5 ounces"
Answer:
Mean Absolute Deviation = 3.
Step-by-step explanation:
The mean = (2 + 9 + 1 + 7 + 8 + 9) / 6
= 36/6
= 6.
Subtract 6 from each number:
2 - 6 = -4 Absolute value = 4
9 - 6 = 3
1 - 6 = -5 Absolute value = 5
7 - 6 = 1
8 - 6 = 2
9 - 6 = 3
Total = 4 + 3 + 5 + 1 + 2 + 3 = 18
Mean Absolute Deviation = 18 / 6 = 3.
