Answer:
-9/5
Step-by-step explanation:
Xy^2/-5 becomes (9)(1^2) / (-5) when x = 9 and y = 1.
This simplifies to -9/5
Answer:
56°
Step-by-step explanation:
Using the sine ratio in the right triangle, that is
sin ? =
=
, then
? =
(
) ≈ 56° ( to the nearest degree )
Answer:
54 square feet
Step-by-step explanation:
The width of the rectangle ABCD is 8 feet and the area of the same rectangle is 96 square feet.
Hence, the length of the rectangle is (96 ÷ 8) = 12 feet.
Now, if the rectangle ABCD is dilated to rectangle A'B'C'D', then the length and the width of the new rectangle will be changed in the same ratio.
So,
{Where AB is the length and BC is the width}
⇒
⇒ A'B' = 9 feet
Therefore, the area of the dilated rectangle A'B'C'D' will be A'B' × B'C' = 9 × 6 = 54 square feet. (Answer)
Answer:
157.6
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
From the question:
Mean = 140
Standard deviation = 40
Recidivism score = x score = ??
z = z score of 67th percentile = 0.44
Hence,
0.44 = x - 140/40
Cross Multiply
0.44 × 40 = x - 140
17.6 = x - 140
x = 140 + 17.6
x = 157.6
Therefore, his corresponding recidivism score is 157.6