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Blizzard [7]
3 years ago
10

A dermatology patient is treated with ultraviolet light having a wavelength of 375 nm. What is the wavelength expressed in centi

meter?
Mathematics
2 answers:
valkas [14]3 years ago
5 0

Answer:

Wavelength,  3.75\times 10^{-5}\ centimeter

Step-by-step explanation:

A dermatology patient is treated with ultraviolet light having a wavelength of 375 nm. We need to express the wavelength in centimeters.

Firstly, it is required to use following conversions as :

1\ nanometer=10^{-7}\ centimeter

Now to convert 375 nm to cm, we can use the following unitary method as :

375\ nanometer=375\times 10^{-7}\ centimeter

375\ nanometer=3.75\times 10^{-5}\ centimeter

So, the wavelength of ultraviolet light is 3.75\times 10^{-5}\ centimeter. Hence, this is the required solution.

sergeinik [125]3 years ago
4 0
1 nanometer = 1 * 10^9 meters

so 1 nanometer =  1 * 10^7 centimeters

375 nanometers =  3,75 *  10^5 centimeters
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Step-by-step explanation:

1. 6x>42

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=\frac{64}{3v}

Step-by-step explanation:

One is given the following equation:

\frac{(4v^-^3)^3}{3v^-^8}

Simplify the numerator, remember to raise every number inside the parenthesis to the exponent outside of the parenthesis. Bear in mind, an exponent raised to another exponent is equal to the exponent times the exponent it is raised to. Then simplify by multiplying the number by itself the number of times that the exponent indicates.

\frac{(4v^-^3)^3}{3v^-^8}

=\frac{4^3(v^-^3)^3}{3v^-^8}

=\frac{4^3v^-^9}{3v^-^8}

=\frac{64v^-^9}{3v^-^8}

Bring the variable (v) in the denominator (value under the fraction bar) to the numerator (value ontop of the fraction bar) by multiplying its exponent by (-1). This can be done simply because all operations in this equation are multiplication or division, remember, an exponent is another form of multiplication.

=\frac{64v^-^9}{3v^-^8}

=\frac{(64v^-^9)(v^(^-^1^)^(^-^8^))}{3}

Simplify, remember, multiplying two numbers with the same base that have an exponent is the same as adding the two exponents,

=\frac{(64v^-^9)(v^(^-^1^)^(^-^8^))}{3}

=\frac{(64v^-^9)(v^8)}{3}

=\frac{64v^-^9^+^8)}{3}

=\frac{64v^-^1}{3}

Now bring the variable to the denominator so that there are no negative exponents. Use a similar technique that was used to bring variables with exponents to the numerator.

=\frac{64v^-^1}{3}

=\frac{64}{3(v^(^-^1^)^(^-^1^))}

=\frac{64}{3v^1}

=\frac{64}{3v}

5 0
2 years ago
Find the Z-scores that separate the middle 61% of the distribution from the area in the tails of the standard normal distributio
professor190 [17]

Answer:

Z-scores between -0.86 and 0.86 separate the middle 61% of the distribution from the area in the tails of the standard normal distribution

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

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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 p-value, we get the probability that the value of the measure is greater than X.

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Between the 50 - (61/2) = 19.5th percentile and the 50 + (61/2) = 80.5th percentile.

19.5th percentile.

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80.5th percentile.

Z with a pvalue of 0.805. So Z = 0.86.

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