Answer:
Step-by-step explanation:
volume of cylinder = πr²h = π(5²)(16) ≅ 1256 cm³
volume of cone = ⅓πr²h = ⅓π(3²)12 ≅ 113.04 cm³
volume of air space = 1256 - 113.04 = 1143.96 cm³
Answer:
95 / 100 * 120 = 114 students
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Answer would either both be 1500:4500 or 1500/4500
Answer:
She has $37 out of $50, which can be written as a fraction, 37/50.
In order to be written as a decimal, then we need something like 1/10, which is 0.1, or 5/100, which is .05.
So, 37/50 = ?/100
The easiest way for me to do this problem is to look at our denominators. 50 x 2 = 100, right? This means we need to multiply 37 x 2 to get the missing numerator. 37 x 2 = 74.
Now, how do we write 74/100 as a decimal? .74
Answer:
The 80% confidence interval for the mean per capita income in thousands of dollars is between $21.3 and $21.9.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 21.6 - 0.3 = $21.3.
The upper end of the interval is the sample mean added to M. So it is 21.6 + 0.3 = $21.9.
The 80% confidence interval for the mean per capita income in thousands of dollars is between $21.3 and $21.9.