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dybincka [34]
3 years ago
9

The basic ratio for 24:56

Mathematics
2 answers:
Likurg_2 [28]3 years ago
8 0

Answer:

basic ratio is 3:7

Step-by-step explanation:

Given the  ratio is 24: 56

To find basic ratio we need to simplify the given ratio

Ratio can be written as fraction from

\frac{24}{56}

To simplify the fraction we divide top and bottom by a common factor

Divide top and bottom by 2, the fraction becomes

\frac{12}{28}

Again divide both top and bottom by 2

\frac{6}{14}

Both 6 and 14 are divisible by 2

\frac{3}{7}

So basic ratio is 3:7

kogti [31]3 years ago
5 0
24:56 = 3:7
You can simplify it by dividing with 2 
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Using the normal distribution, it is found that there is a 0.9192 = 91.92% probability that the total amount of product is less than 575 g.

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

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

  • It 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, which is the percentile of X.
  • When two normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

In this problem, the product is composed by flakes and raisins, and we have that:

\mu_F = 370, \sigma_F = 24, \mu_R = 170, \sigma_R = 7

Hence, the distribution for the total amount of product has <u>mean and standard deviation</u> given by:

\mu = \mu_F + \mu_R = 370 + 170 = 540

\sigma = \sqrt{\sigma_F^2 + \sigma_R^2} = \sqrt{24^2 + 7^2} = 25

The probability that the total amount of product is less than 575 g is the <u>p-value of Z when X = 575</u>, hence:

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

Z = \frac{575 - 540}{25}

Z = 1.4

Z = 1.4 has a p-value of 0.9192.

0.9192 = 91.92% probability that the total amount of product is less than 575 g.

A similar problem is given at brainly.com/question/22934264

5 0
2 years ago
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