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olya-2409 [2.1K]
3 years ago
14

If you were a biologist counting very large numbers of cells as part of your research get several reasons why you like that for

to record yourself pounds in scientific notation said of standard notation
Mathematics
1 answer:
Nastasia [14]3 years ago
8 0
If it was in standard notation it would be very confusing to add the number of cells and it would be less organized.
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Show that if f(n) is O(g(n)) and d(n) is O(h(n)) then f(n) + d(n) is O(g(n) + h(n)).
GaryK [48]
f(n)\in\mathcal O(g(n)) is to say

|f(n)|\le M_1|g(n)|

for all n beyond some fixed n_1.

Similarly, d(n)\in\mathcal O(h(n)) is to say

|d(n)|\le M_2|h(n)|

for all n\ge n_2.

From this we can gather that

|f(n)+d(n)|\le|f(n)|+|d(n)|\le M_1|g(n)|+M_2|h(n)|\le M(|g(n)|+|h(n)|)

where M is the larger of the two values M_1 and M_2, or M=\max\{M_1,M_2\}. Then the last term is bounded above by

M(|g(n)|+|h(n)|)\le2M\max\{|g(n)|,|h(n)|\}

from which it follows that

f(n)+d(n)\in\mathcal O(\max\{g(n),h(n)\})
3 0
3 years ago
8. Given the standard deviation of 16 for a population and a 95% confidence level, find the margin
Kazeer [188]

Answer:

4.0486

Step-by-step explanation:

The margin of error is calculated using  E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }

Where n=60 is the sample size and \sigma=16 is the population standard deviation.

The critical value corresponding to 95% confidence interval is z_{\frac{\alpha}{2}}=1.96

We substitute the values to obtain;

E=1.96*\frac{16}{\sqrt{60} }

E=1.96*2.06559=4.0486

3 0
3 years ago
Select all the values for that indicate r a positive slope for the line of best fit.
zaharov [31]

Answer:

u didn't show any pictures so I can't help u. can u show. pictures or something

3 0
3 years ago
What is the equation of the line that passes through the point<br> (6,7) and has a slope of o?
QveST [7]

Answer:

y= 7

Step-by-step explanation:

Plug in values into y=mx+b

m= slope

b= y intercept

Since slope is 0, y will always be at 7.

y= 0(x) +7

y= 7

6 0
2 years ago
Which point on the number line below represents |11|?
sp2606 [1]

Answer:

Point D

Step-by-step explanation:

:)

5 0
2 years ago
Read 2 more answers
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