The perimeter and area of the basketball court is 18x + 6 and 8x² + 24x respectively.
<h3>perimeter of a rectangle</h3>
- Length = 8x
- Width = (x + 3)
Perimeter of basketball court = 2(length + width)
= 2(8x + x + 3)
= 2(9x + 3)
= 18x + 6
Perimeter of basketball court = 18x + 6
Area of basketball court = length × width
= 8x × (x + 3)
= 8x² + 24x
Area of basketball court = 8x² + 24x
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Answer:
<em>The observed t (2.533) is in the tail cut off by the critical t (2.462), therefore we reject H0. It is likely that the books are older than 20 years of age on average.</em>
Step-by-step explanation:
<em>Step 1: Hypotheses and α level
</em>
H0: μ ≤ 20
H1: μ > 20
<u><em>α = 0.01</em></u>
<em>Step 2: Critical region
</em>
α = .01
One-tailed
df = n – 1 = 30 – 1 = 29
<u><em>t - critical = 2.462
</em></u>
<em>Step 3: Calculate t which is observed
</em>
sM = √(s2 / n) = √(67.5 / 30) = 1.5
t = (M – μ) / sM
t = (23.8 – 20) / 1.5
<u><em>t = 2.533
</em></u>
<u><em /></u>
9514 1404 393
Answer:
41.1
Step-by-step explanation:
A triangle solver can do this nicely. b ≈ 41.1
__
You can use the law of cosines for the purpose.
b² = a² +c² -2ac·cos(B)
b² = 120² +110² -2(120)(110)·cos(20°) ≈ 1692.1148
b ≈ √1692.1148 ≈ 41.13532
The missing side is b ≈ 41.1 units.
Answer:
4%
Step-by-step explanation:
The interest earned on the investment is the difference between the end-of-year value and the initial value:
$83.20 -80 = $3.20 . . . . simple interest per year
__
The interest rate is the ratio of this to the initial investment:
$3.20/$80.00 = 0.04 = 4% . . . . . simple interest rate per year
