A dilation is when the figure is enlarged and a reduction is when the figure is reduced, smaller.
The scale factor for dilation is > 1 and reduction >0,<1
Answer:
2/3(two thirds) of the 24 hour day awake, amounts to 24 x 2 / 3 hours awake which is equal to 16 hours awake
Step-by-step explanation:
24 x 2/3
there are many ways to evaluate this mentally, if you know 8x3=24, for instance you can multiply top and bottom of 2/3 by 8 yo gey 24 x 16/24 which is 16 hours
Answer:
Step-by-step explanation:
<1 + <2 = 180 degrees (straight angle)
<3 + <5 + <4 = 180 degrees (straight angle)
<1 = <3 (vertical angles)
<1+<2 = <3+<4+<5 (straight angles)
<2 = (<3-<1)+<4+<5 (<3 - <1 = 0)
<2 = <4 + <5
Answer:
Mean = 528 ppm
Standard deviation = 90.8 ppm
Step-by-step explanation:
Assuming a basis of 100 trees
6 trees with 350 ppm (minimal growth)
10 trees with 450 ppm (slow growth)
47 trees with 550 ppm (moderate growth)
37 trees with 650 ppm (rapid growth)
Mean = xbar = Σx/N
x = each variable
xbar = mean
N = number of variables = 100
Σx = sum of all variables = sum of all the ppm = (6×350) + (10×450) + (47×550) + (37×550) = 52800
xbar = 52800/100 = 528 ppm
Standard deviation = σ = √[Σ(x - xbar)²/N]
x = each variable
xbar = mean = 528
N = number of variables = 12
Σ(x - xbar)² = [6(350 - 528)²] + [10(450 - 528)²] + [47(550 - 528)²] + [37(650 - 528)²] = 824400
σ = √[Σ(x - xbar)²/N] = √(824400/100) = 90.8 ppm
7. is 4 yards and 2 feet
8.176
9. 13 cups is greater
10. 25 lbs is greater
11. 13 quarts
