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Dmitry_Shevchenko [17]
3 years ago
11

If 3/4 of a ton of sand covers 2/5 of a playground, how many tons of sand are required to cover the entire playground?

Mathematics
1 answer:
saw5 [17]3 years ago
5 0
3t/4=2p/5  solve for p

p=15t/8

p=1.875 tons of sand
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One uranium atom has a mass of 3.95 x 10^-22 grams.
creativ13 [48]
Remember
(ab)/(cd)=(a/c)(b/d)
and
\frac{x^n}{x^m}=x^{n-m}

1kg=1000g=1*10^3g
hmm, I estimate, 4 of them

x=number of attoms
mass of 1 times x=1*10^3
3.95*10^-22 times x=1*10^3
divide both sides by 3.95*10^-22
x=\frac{1*10^3}{3.95*10^{-22}}= (\frac{1}{3.95}  )( \frac{10^{3}}{10^{-22}} )=0.25316*10^{25}=2.5316*10^{24}
a million has 9 zeroes
so 24 zeroes is alot that is a <span>septillion, so there are 2.5316 septillion uranium atoms in 1kg


a. 4
b. underestimate

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5 0
3 years ago
Find the volume of the sphere .<br> (Geometry)
asambeis [7]

Answer:

V = 32/3 pi

Step-by-step explanation:

The volume of a sphere is given by

V= 4/3 pi r^3

We know the radius is 2

V = 4/3 pi (2)^3

V = 4/3 pi (8)

V = 32/3 pi

6 0
3 years ago
A Confidence interval is desired for the true average stray-load loss mu (watts) for a certain type of induction motor when the
Vaselesa [24]

Answer:

A sample size of 35 is needed.

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{1-0.95}{2} = 0.025

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

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the width W as such

W = z*\frac{\sigma}{\sqrt{n}}

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

How large must the sample size be if the width of the 95% interval for mu is to be 1.0:

We need to find n for which W = 1.

We have that \sigma^{2} = 9, then \sigma = \sqrt{\sigma^{2}} = \sqrt{9} = 3. So

W = z*\frac{\sigma}{\sqrt{n}}

1 = 1.96*\frac{3}{\sqrt{n}}

\sqrt{n} = 1.96*3

(\sqrt{n})^2 = (1.96*3)^{2}

n = 34.57

Rounding up

A sample size of 35 is needed.

3 0
3 years ago
Find the roots of the function.
Korolek [52]
The answer is -9i , 9i
x^2+81=0
x^2=-81
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4 0
3 years ago
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What is the definition of percent of change
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Ratio of amount of change to original shown as a percent.
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3 years ago
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