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monitta
1 year ago
8

What is the volume of a cylinder with base radius 2 and height 9?

Mathematics
1 answer:
Montano1993 [528]1 year ago
5 0

Answer:

V =113.09734

Step-by-step explanation:

V=\pi r^{2}

= 2^{2} x 9= 113.09734

(which you can technically round to 1)

=113.1

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irakobra [83]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
What's 2/3 written as a fraction with a denominator of 9?<br> A.2/9<br> B.3/9<br> C.6/9<br> D.9/9
Elza [17]
The answer is C
How many 2s go into 6 and 9
8 0
2 years ago
A standard weight known to weigh 10 grams. Some suspect bias in weights due to manufacturing process. To assess the accuracy of
notsponge [240]

Answer:

a) The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams

b) 49 measurements are needed.

Step-by-step explanation:

Question a:

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 - 0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.01 = 0.99, so Z = 2.327.

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.

M = 2.327\frac{0.0003}{\sqrt{5}} = 0.00031

The lower end of the interval is the sample mean subtracted by M. So it is 10.0044 - 0.00031 = 10.00409 grams

The upper end of the interval is the sample mean added to M. So it is 10 + 0.00031 = 10.00471 grams

The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams.

(b) How many measurements must be averaged to get a margin of error of +/- 0.0001 with 98% confidence?

We have to find n for which M = 0.0001. So

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

0.0001 = 2.327\frac{0.0003}{\sqrt{n}}

0.0001\sqrt{n} = 2.327*0.0003

\sqrt{n} = \frac{2.327*0.0003}{0.0001}

(\sqrt{n})^2 = (\frac{2.327*0.0003}{0.0001})^2

n = 48.73

Rounding up

49 measurements are needed.

7 0
3 years ago
Zach has a basic cell phone plan that does not include texting. He is going to add a multimedia texting package to his
attashe74 [19]

Package A is less expensive for Zach to send 250 multimedia texts each month.

<u>Step-by-step explanation:</u>

Given that,

Zach plans to send 250 multimedia texts each month.

Package A charges $0.25 per multimedia  text with no monthly fees.

Package B charges $0.20 per multimedia text, but has a  $15 monthly fee.

We need to find out which package is less expensive for Zach to add the plan.

<u>The cost of 250 multimedia texts by package A :</u>

⇒ Number of texts × cost per text

⇒ 250 × 0.25

⇒ 62.5

∴ The package A charges $62.5 for 250 multimedia texts.

<u>The cost of 250 multimedia texts by package B :</u>

⇒ (Number of texts × cost per text) + monthly fee

⇒ (250 × 0.20) + 15

⇒ 50 + 15

⇒ 65

∴ The package B charges $65 for 250 multimedia texts.

The Package A charges $62.5 which is less than package B charge of $65.

Hence, package A is less expensive.

6 0
3 years ago
The scale of a map is 1 inch = 60 miles. Find the actual distance if the distance on the distance on the map is 3 1/2 inches.
laila [671]

Answer:

  • 210 miles

Step-by-step explanation:

The scale is

  • 1 in = 60 miles

Find the distance of equivalent to 3 1/2 in

  • 3 1/2 * 60 miles =
  • 3*60 + 1/2*60 miles =
  • 180 + 30 miles =
  • 210 miles
5 0
2 years ago
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