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Iteru [2.4K]
3 years ago
15

If ISO 400, SS 30, f/5.6 overexposes a picture three stops, what are the correct settings for a good exposure?

Mathematics
1 answer:
Reika [66]3 years ago
6 0

Answer:

  ISO 1600

Step-by-step explanation:

"Three stops" means the picture is overexposed by a factor of 2^3 = 8. Each f-stop increase halves the exposure, so increasing from 5.6 through 8 to 11 means you have cut the exposure by a factor of 4 with the f-stop change.

Each halving of the shutter-open time also cuts the exposure in half, so reducing the shutter speed from 1/30 to 1/250 cuts the exposure by a factor of about 8.

The adjustments of shutter speed and f-stop have decreased the exposure by a factor of 4·8 = 32, which is a factor of 4 more than the factor of 8 you needed. (The shutter speed change by itself would have been sufficient.)

So, to compensate for the much smaller exposure, you need faster film, by a factor of 4. The film needs to go from ISO 400 to ISO 1600.

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Step-by-step explanation:

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Men consume on average 15 grams of protein a day. Assume a normal distribution with a standard deviation of 3 grams. A sample of
tatyana61 [14]

Using the normal distribution, there is a 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
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For this problem, the parameters are given as follows:

\mu = 15, \sigma = 3, n = 40, s = \frac{3}{\sqrt{40}} = 0.4743

The probability is the <u>p-value of Z when X = 16 subtracted by the p-value of Z when X = 15</u>, hence:

X = 16:

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

By the Central Limit Theorem

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

Z = \frac{16 - 15}{0.4743}

Z = 2.11

Z = 2.11 has a p-value of 0.9826.

X = 15:

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

Z = \frac{15 - 15}{0.4743}

Z = 0

Z = 0 has a p-value of 0.5.

0.9826 - 0.5 = 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

More can be learned about the normal distribution at brainly.com/question/15181104

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Luda [366]

Answer:

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Step-by-step explanation:

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Substitute -16t² + 64t + 4 for h(t)

-16t² + 64t + 4 ≥ 52

Collect like terms

-16t² + 64t + 4 - 52 ≥ 0

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Divide through by 16

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Multiply through by -1

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Answer:

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= 20.8 %

Hence the percentage decrease is 20.8%

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