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Fynjy0 [20]
3 years ago
8

The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?

Mathematics
1 answer:
nydimaria [60]3 years ago
5 0

Volume of the cone = (1/3) pi r^2 h

h = 2r  so substituting for h:-

V = (1/3) pi r^2 * 2r

V = (2/3) pi r^3

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12, 17, 22, ...<br> Find the 36th term.
pychu [463]

Answer:

187

Step-by-step explanation:

a=12,d=17-12=5

nth term =a+(n-1)d

36th term=12+(36-1)5

=12+(35×5)

12+175

36th term=187

8 0
2 years ago
2s+4=5(−4−2s)2, s, plus, 4, equals, 5, left parenthesis, minus, 4, minus, 2, s, right parenthesis
Rashid [163]
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8 0
3 years ago
A dog breeder would like to know how many Dalmatian puppies are typically born in a litter. He conducts some research and select
podryga [215]

Answer:

c. 6.2 ± 2.626(0.21)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 101 - 1 = 100

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 100 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.626

The confidence interval is:

\overline{x} \pm M

In which \overline{x} is the sample mean while M is the margin of error.

The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter.

This means that \overline{x} = 6.2

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.626\frac{2.1}{\sqrt{101}} = 2.626(0.21)

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

Thus, the confidence interval is:

\overline{x} \pm M = 6.2 \pm 2.626(0.21)

And the correct answer is given by option c.

5 0
3 years ago
Find the area of each triangle.<br> 1.) Show your work.
WARRIOR [948]

Answer:

24

Step-by-step explanation:

The base of a triangle 6

The height of the triangle 8

The face of a triangle=(6*8)/2

(6*8)/2=24

4 0
2 years ago
the mean of 10 numbers is 1445. if 1500 is also added to this data what will be there new mean of 11 numbers
tamaranim1 [39]
Let the sum of the 10 numbers be x, then
x/ 10 = 1445
x = 1445 x 10 = 14450

New mean = (14450 + 1500)/11 = 15950/11 = 1450
7 0
3 years ago
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