Answer:
B. 2.77 · 10^28
Step-by-step explanation:
The total number of atoms is ...
(6.02·10^23 atoms/mol)·(4.6·10^4 mol) = (6.02·4.6)·10^(23+4) atoms
≈ 27.7·10^27 atoms
≈ 2.77·10^28 atoms . . . . . . put in scientific notation form
_____
Scientific notation has one non-zero digit to the left of the decimal point and the exponent adjusted accordingly.
__
Your calculator can help you figure this out. If necessary, put the display into scientific notation mode. (For numbers this size, it is usually not necessary.)
Answer:
From the central limit theorem we know that the distribution for the sample mean 
is given by:
And now for the deviation we have this:
So then the correct answer for this caee would be:
c. 1.30 ounces.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
From the central limit theorem we know that the distribution for the sample mean is given by:
And now for the deviation we have this:
So then the correct answer for this caee would be:
c. 1.30 ounces.
7 and 21 I believe, hope you get it right
Answer:
<em>Scale factor: 2</em>
<em>PR = 14</em>
<em>Perimeter = 34</em>
Step-by-step explanation:
<u>Similar Triangles</u>
Similar triangles are those who have their corresponding side lengths proportional, i.e. the ratio of the corresponding sides is equal.
The figure shows similar triangles ABC and PQR. We can also see corresponding sides BC and QR have lengths 6 and 12 respectively.
The scale factor is 
The rest of the sides can be calculated by using the per-image triangle ABC side lengths and the new-found scale factor. Thus:
PR = AC*2 = 7*2 = 14
PR = 14
PQ = AB*2 = 4*2 = 8
The perimeter of the triangle PRQ is the sum of its side lengths:
P = 12 + 14 + 8 = 34
Answers:
Scale factor: 2
PR = 14
Perimeter = 34
We are asked to show the transaction in the balance sheet of a customer who made a promissory note that he will pay the remaining in 60 days. The given values and details are shown below:
Charge = $575
Cash = $200
Balance = $375
The transaction is Receivables ($200, $375, $575).
