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worty [1.4K]
3 years ago
7

Your digital camera has a 512 megabyte memory card. You take low resolution pictures requiring 4 megabytes of memory each and hi

gh resolution pictures requiring 8 megabytes of memory each. Write an equation for the number of low and high resolution pictures you can take.
Mathematics
1 answer:
lys-0071 [83]3 years ago
3 0
128 with 4 megabytes and 64 with 8 megabytes
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D.90

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A private opinion poll is conducted for a politician to determine what proportion of the population favors adding more national
Ksju [112]

Answer:

n≅376

So sample size is 376.

Step-by-step explanation:

The formula we are going to use is:

n=pq(\frac{z_{\alpha/2}}{E})^{2}

where:

n is the sample size

p is the probability of favor

q is the probability of not in favor

E is the Margin of error

z is the distribution

α=1-0.98=0.02

α/2=0.01

From cumulative standard Normal Distribution

z_{\alpha/2}=2.326

p is taken 0.5 for least biased estimate, q=1-p=0.5

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So sample size is 376

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3 years ago
Latasha can read 30 pages of economics in an hour. She can also read 20 pages of sociology in an hour. She spends 4 hours per da
stiv31 [10]

Answer:

Her opportunity cost of reading 10 pages of sociology is 15 pages of Economics

Her opportunity cost of reading 18 pages of economics is 12 pages of sociology.

Step-by-step explanation:

For economics, Latasha reads 1 page in 2 mins (gotten by dividing the number of pages by the time taken to read it i.e 30 pages in 1 hr or 60 mins)

Her sociology is read 1 page in 3 mins (20 pages read in 60 mins)

To read 10 pages of sociology will take 30 mins. She will read 15 pages of Economics in the same time which is the opportunity cost.

In the same vein, It will take her 36 mins to read 18 pages of Economics at the same rate. This is the opportunity cost of reading 12 pages of Sociology (which she reads at 1 page in 3 mins).

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Answer: 3

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We know that since a translation is a rigid motion, and that rigid motions preserve distance, the length of the transformed segment is the same as the given line segment.

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