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aliya0001 [1]
3 years ago
8

The volume of the ice cream cone in the diagram is 12 cubic centimeters. 9 centimeters is the height of the ice cream cone, what

is the diameter of the opening of the cone?​

Mathematics
2 answers:
algol [13]3 years ago
8 0

Answer:

Diameter = 8

Step-by-step explanation:

Cone volume formula = (pi)*r^2*h/3

V = (12pi)*r^2*(9/3)

V = (12pi)*r^2*3

12/3 = 4

V =(pi)*4^2*h/3

4*2 = 8

The Diameter is 8

Vlad1618 [11]3 years ago
4 0

Answer:

2.2568m

Step-by-step explanation:

volume= 12 π cm³

or, 1/3 πr²h = 12π cm³

or, πr² × 9 = 12π ×3

or, r²= 36π/9π

or, r²= 4

or, r= 2

d = 2r = 2× 2= 4 cm

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Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz. An ornithologi
il63 [147K]

Answer:

The formula to generate 70% confidence interval is: [\overline{x} - 0.013, \overline{x} + 0.013], in which \overline{x}  is the sample mean.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.7}{2} = 0.15

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.15 = 0.85, so Z = 1.037.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

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

Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz.

This means that \sigma = 0.04.

Sample of 10 birds:

This means that n = 10.

The margin of error is of:

M = z\frac{\sigma}{\sqrt{n}}

M = 1.037\frac{0.04}{\sqrt{10}}

M = 0.013

The lower end of the interval is the sample mean of \overline{x} subtracted by M.

The upper end of the interval is the sample mean of \overline{x} added to M.

Then, the formula to generate 70% confidence interval is: [\overline{x} - 0.013, \overline{x} + 0.013], in which \overline{x}  is the sample mean.

8 0
3 years ago
A pencil factory makes 50 cases of pencils in 5 hours.
Oduvanchick [21]


If a pencil factory makes 50 cases of pencils in 5 hours. Let's first find out how many cases are made per hour.

50 ÷  5 = 10 cases per hour

Now you need to know how long it will take to make 55 cases. Since we already know that it takes 5 hours to make 50 cases. So you need to know how many cases for the extra 5 cases. If it takes 1 hour to make 10 cases, it would only take 1/2 hour to make 5 cases.

So it would take 5 1/2 hours to make 55 cases.

Hope this helps. :)

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3 years ago
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Eva8 [605]
The answer for this is 3 and 4
4 0
3 years ago
Use the associative property to simplify 3(4x).
vivado [14]

Step-by-step explanation:

3(4x)=12x

Hope it helps?!

4 0
2 years ago
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Answer:1

Step-by-step explanation:

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