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3 years ago

Explain why multiplying a fraction by 5/6 results in a value that is less than the original fraction

Mathematics

1 answer:

Ivahew [28]3 years ago

5 0

Answer:

Step-by-step explanation:

(5/6) itself is less than 1 (but greater than 0). Thus, anything multiplied by (5/6) will result in a smaller-by-magnitude quantity.

For example, (5/6)(3/4) is LESS than 3/4 because 5/6 is greater than zero but less than 1.

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What is pi over 12 to the 10 power times 6 over 5.32018?

erica [24]

Answer: 3.9737436e-13

Step-by-step explanation: pi/12= 0.26179938779 to the tenth power = 5.0738475e-11 x 6/5.32018= 3.9737436e-13.

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3 years ago

On a cell phone mapping app, 5cm represents 150 feet. Which equation represents this relationship?

AnnZ [28]

Answer:

b cuz 150/5=3 :)

Step-by-step explanation:

cuz 150/5=3 :)

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4 years ago

In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0

Zigmanuir [339]

Answer:

a) 8.2962

b) 6.3956

c) 3.845

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 5.6, \sigma = 2.6$

(a) What response represents the 85th percentile? 

This is X when Z has a pvalue of 0.85. So X when Z = 1.037.

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

$1.037 = \frac{X - 5.6}{2.6}$

$X - 5.6 = 2.6*1.037$

$X = 8.2962$

(b) What response represents the 62nd percentile?

This is X when Z has a pvalue of 0.62. So X when Z = 0.306.

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

$0.306 = \frac{X - 5.6}{2.6}$

$X - 5.6 = 2.6*0.306$

$X = 6.3956$

(c) What response represents the first quartile?

The first quartile is the 100/4 = 25th percentile. So this is X when Z has a pvalue of 0.25, so X when Z = -0.675.

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

$-0.675 = \frac{X - 5.6}{2.6}$

$X - 5.6 = 2.6*(-0.675)$

$X = 3.845$

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3 years ago

To convert centimeters to inches, we multiply the measurement in centimeters by 2.54. Identify the type of relation between cent

GenaCL600 [577]

Converting centimeters to the units of inches, we have to multiply a value with 2.54. From this, we can say that the relationship is linear. A linear relationship can be represented by an equation such as:

y = kx

For this case, k is 2.54. When the measurement in centimeters increase, its form in inches units as well increase.

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4 years ago

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