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ololo11 [35]
3 years ago
11

What is the quotient?

Mathematics
2 answers:
sergejj [24]3 years ago
5 0

The quotient is 4*10^12.

(6*10^8) / (1.5*10^-4) = 4*10^(8-(-4)) = 4*10^12

6 divided by 1.5 is 4. When the base is the same, and you're dividing, you subtract the exponents. They both have a base of 10, so 8-(-4) gives you 12. So, it would be 10^12.

pychu [463]3 years ago
3 0

Answer:

4 x 10^12

Step-by-step explanation:

4,000,000,000,000

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Answer:

$506,000

Step-by-step explanation:

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Cerrena [4.2K]
By the Pythagorean Theorem:

The square of the hypotenuse (longest side) of a right triangle is equal to the sum of the side lengths squared, or mathematically:

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9.4^2=6.8^2+GF^2

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3 years ago
Lengths of full-term babies in the US are Normally distributed with a mean length of 20.5 inches and a standard deviation of 0.9
mash [69]

Answer:

66.48% of full-term babies are between 19 and 21 inches long at birth

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:

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

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.

Mean length of 20.5 inches and a standard deviation of 0.90 inches.

This means that \mu = 20.5, \sigma = 0.9

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The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then

X = 21

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

Z = \frac{21 - 20.5}{0.9}

Z = 0.56

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

Z = \frac{19 - 20.5}{0.9}

Z = -1.67

Z = -1.67 has a p-value of 0.0475

0.7123 - 0.0475 = 0.6648

0.6648*100% = 66.48%

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