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larisa86 [58]
2 years ago
8

i'm just giving em away! Brainly, A sphere has a volume of 2,304\p mm^3. Find the diameter of the sphere.

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
5 0

Answer:

diameter = 24 mm

Step-by-step explanation:

volume of a sphere =

\frac{4}{3} \:  \pi \: r {}^{3}

now,

=》

\frac{4}{3} \pi \: r {}^{3}  = 2304 \: \pi

=》

{r}^{3}  = 2304 \times  \frac{3}{4}

=》

r {}^{3}  = 1728

=》

r =  \sqrt[3]{1728}

=》

r = 12

radius = 12mm

so, diameter = 2 × radius = 2 × 12 = 24 mm

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A sign company charges $28 per yard for each custom-made banner. Ms.Gill orders two banners that are each 178 yards long, and on
zhuklara [117]

Given,

A sign company charges $28 per yard for each custom-made banner.

Ms.Gill orders two banners that are each 178 yards long, and one banner that is 258 yards long.

To find,

Total money paid by Ms. Gill.

Solution,

Total length of 2 banners of 178 yards = 356 yards

Third banner is 258 yards long.

Total length of the banners = 356 + 258

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Total amount paid by Ms. Gill is :

= $28 × 614

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Hence, she will pay $17,192 for all the three banners.

8 0
2 years ago
The Food and Drug Administration (FDA) produces a quarterly report called Total Diet Study. The FDA’s report covers more than 20
pav-90 [236]

Using the normal approximation to the binomial, it is found that:

  • The mean of X is of 52 samples.
  • The standard deviation of X is of 4.2661 samples.
  • 0.0017 = 0.17% probability that less than half without any traces of pesticide.

--------------------------------

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, with mean given by:  

E(X) = np

And standard deviation of:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution  

Z-score formula is used, which, in a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • Each z-score has an associated p-value, which measures the percentile of measure X.

--------------------------------

  • 65% of samples had no pesticide, thus p = 0.65
  • 80 samples, thus n = 80

The mean of X is of:

E(X) = np = 0.65(80) = 52

The standard deviation of X is of:

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{80(0.65)(0.35)} = 4.2661

Using the approximation and continuity correction, the probability is P(X < 40 - 0.5) = P(X < 39.5), which is the p-value of Z when X = 39.5. Thus:

Z = \frac{X - \mu}{\sigma}

Z = \frac{39.5 - 52}{4.2661}

Z = -2.93

Z = -2.93 has a p-value of 0.0017, thus:

0.0017 = 0.17% probability that less than half without any traces of pesticide.

A similar problem is given at brainly.com/question/24261244

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2 years ago
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Nikitich [7]

Answer:

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Step-by-step explanation:

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2 years ago
Birthstones of students in your class<br> qualitative Or quantitative??
Alik [6]
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3 0
3 years ago
2log 10 =0.3010,then find the value of 22log 8
skad [1K]

Answer:

2.99

Step-by-step explanation:

                                                       <em>Note: [log10 = 1]</em>

<em>                                                        [log8  = 0.903089987]</em>    

2log10 = 0.3010

<em>   </em>22log8 = x

Therefore:

<em>2log10 x = 22log8</em>

<em>x = 2.99</em>

<em>  </em>

5 0
3 years ago
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