The answer is 769.3 cm²
The volume of the cylinder is : V = π r² h
<span>The ratio between the radius of the base and the height of the cylinder is 2:3:
r/h = 2/3
h = 3/2r
V = 1617 cm
</span>π = 3.14
1617 = πr² * 3/2 r
1617 = πr³ * 3/2
1617 * 2/3 = πr³
1078 = πr³
r³ = 1078/π = 1078/3.14 = 343
r = ∛343 = 7 cm
h = 3/2r = 3/2 * 7 = 10.5 cm
The surface area of the cylinder is:
SA = 2πr² + 2πrh
= 2 * 3.14 * 7² + 2 * 3.14 * 7 * 10.5
= 307.72 + 461.58
= 769.3 cm²
Step-by-step explanation:
app it's a standard 30 60 90 triangle. there are rules for this.
x = 3
y = 6
Answer:
d. We are 95% confident that the proportion of adults (ages 17-26) who attended college is between 53% and 59%.
Step-by-step explanation:
Confidence interval of a proportion p.
We build a confidence interval at the x% level from a sample.
With this, we can say that we are x% sure that the true population propotion is in the interval.
The 95% confidence interval is (0.53, 0.59).
This means that we are 95% sure that the true population proportion is between 0.53 and 0.59.
So the correct answer is:
d. We are 95% confident that the proportion of adults (ages 17-26) who attended college is between 53% and 59%.
Answer:
Step-by-step explanation:
Since it is simple interest, you have to use the formula I = Prt.
(I is interest, P is principal (the starting amount), and r is the & rate as a decimal.
So, the interest would be
I = 543,300 (0.048) (2) = $52,156.80
The balance is the total amount. The balance would be the starting amount plus the interest.
Balance = 543,300 + 52,156.80 = $595,456.80
