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malfutka [58]
2 years ago
9

I need help this is really hard i still dont understand plss help

Mathematics
1 answer:
Dahasolnce [82]2 years ago
8 0

Answer:

  (b)  64 sq. in.

Step-by-step explanation:

The shaded area is the difference between the overall area and the areas of the cutout corners.

The overall area is 10 in by 10 in, so is ...

  A = s² = (10 in)² = 100 in²

The area of the cutout at each of the four corners is ...

  A = s² = (3 in)² = 9 in²

So, the total area of the four cutouts is ...

  cutout area = 4 × 9 in² = 36 in²

The remaining area is then ...

  100 in² -36 in² = 64 in²

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A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amoun
yarga [219]

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
The Quick Change Oil Company has a number of outlets in the metropolitan Seattle area. The daily number of oil changes at the Oa
Rashid [163]

Answer:

5 classes.

Step-by-step explanation:

You can use the 2^k rule to determine the number of classes for a frequency distribution.

The 2^k rule says that 2^k\geq n where

k is the number of classes

n is the number of the data points

We know that the number of data points is n = 20.

Next, we start searching for k so that we can get a number 2 to the k that is larger that the number of data points.

2^4=16\\2^5=32

This suggests that you should use 5 classes.

8 0
3 years ago
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