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photoshop1234 [79]
3 years ago
15

432 tk. is divided amongst three workers A, B and C such that 8 times A's share is equal to 12 times B's share wich is equal to

6 times of C's share. how much did A get? ​
Mathematics
1 answer:
Flura [38]3 years ago
7 0

Answer:

A got 243 tk

Step-by-step explanation:

Supose the amount C got was "x"

12 times B's share is 6 times C's share, that would be:

B = 6x

Also, 8 times A's share is 12 times B's share, that would be:

8A = 12B

8A = 12(6x)

8A = 72x

A = 72x/8

A = 9x

Now, we can say:

A = 9x

B = 6x

C = x

We know total is 432, thus we can write and solve for x first:

A + B + C = 432

9x + 6x + x = 432

16x = 432

x = 432/16

x = 27

A got "9x", so plugging in x = 27, we know:

A got 9*27 = 243 tk

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A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 614 babies bo
MissTica

Answer:

The number of newborns who weighed between 1614 grams and 5182 grams was of 586.

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.

The mean weight was 3398 grams with a standard deviation of 892 grams.

This means that \mu = 3398, \sigma = 892

Proportion that weighed between 1614 and 5182 grams:

p-value of Z when X = 5182 subtracted by the p-value of Z when X = 1614.

X = 5182

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

Z = \frac{5182 - 3398}{892}

Z = 2

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

Z = \frac{1614 - 3398}{892}

Z = -2

Z = -2 has a p-value of 0.0228

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The number of newborns who weighed between 1614 grams and 5182 grams was of 586.

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