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scoray [572]
3 years ago
8

Physicists estimate that there are between 10^78 and 10^82 atoms in the universe. How do these two numbers compare with one anot

her? If the larger number is right, how many universes with the smaller number of atoms would fit inside the larger universe?
Mathematics
1 answer:
Ann [662]3 years ago
4 0

Answer:

These two values show the range of maximum and the minimum possible approximation of the amount of atoms in the universe.

10000 of the small universe will fit into the big universe.

Step-by-step explanation:

These values are a representative of the possible number of atoms in the universe. They both give a range of possible numbers, within which the number of atoms in the universe can be assigned a a particular value. The range is used to indicate that the value cannot be be exactly determined to be a particular exact number.

The two numbers given are

10^82, and 10^78

If the the larger number of 10^82 is correct, we'll have

10^82 ÷ 10^78

==> 10^(82 -78) = 10000 of the small universe will fit into the larger universe.

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Leya [2.2K]
This is the right anwser

5 0
3 years ago
9. Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of
netineya [11]

Answer:

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 12, \sigma = 3

What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?

This is 1 subtracted by the pvalue of Z when X = 16. So

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

Z = \frac{16 - 12}{3}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082

1 - 0.9082 = 0.0918

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

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2 years ago
Find the gross pay per paycheck based on salary
BaLLatris [955]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Help on this problem?? please?
Reptile [31]

MrBillDoesMath!


Answer to #4:  81/256 * s^8 * t^ 12


Comments:

(7x^3) ^ (1/2)   =  7 ^ (1/2)  *  x^(3/2)   where  ^(1/2) means the square root of a quantity. The answer written (7x^3) is NOT correct.

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

(1)             (27s^7t^11)^ (4/3)  

               = 27^(4/3) * (s^7)^(4/3) * (t^11)^ (4/3)


As 27 = 3^3, 27 ^(4/3) = 3^4 = 81

               

(2)  (-64st^2)^ (4/3)  =     (-64)^(4/3) * (s^4/3) * t(^8/3)


As 64 = (-4)^3,  (-64)^(4/3) = (-4)^4 = +256                                        


So (1)/(2) =

81 * s^(28/3)* t^(44/3)

-------------------------------     =

256 s^(4/3) * t^((8/3)


81/256 *  s ^ (28/3 - 4/3) * t^(44/3 - 8/3) =


81/256 * s^(24/3) * t (36/3) =

81/256 * s^8        * t^ 12



MrB

5 0
3 years ago
What is 7643.63 rounded to the nearest dollar?
prisoha [69]

Answer:

7644

Step-by-step explanation:

Hope this helps!

6 0
3 years ago
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