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inessss [21]
2 years ago
10

Items produced by a manufacturing process are supposed to weigh 90 grams. The manufacturing procon

Mathematics
1 answer:
Annette [7]2 years ago
4 0

Using the normal distribution, it is found that 0.26% of the items will either  weigh less than 87 grams or more than  93 grams.

In a <em>normal distribution</em> 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.

In this problem:

  • The mean is of 90 grams, hence \mu = 90.
  • The standard deviation is of 1 gram, hence \sigma = 1.

We want to find the probability of an item <u>differing more than 3 grams from the mean</u>, hence:

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

Z = \frac{3}{1}

Z = 3

The probability is P(|Z| > 3), which is 2 multiplied by the p-value of Z = -3.

  • Looking at the z-table, Z = -3 has a p-value of 0.0013.

2 x 0.0013 = 0.0026

0.0026 x 100% = 0.26%

0.26% of the items will either  weigh less than 87 grams or more than  93 grams.

For more on the normal distribution, you can check brainly.com/question/24663213

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Please help and thank you
Ksivusya [100]

Answers: Angle A is 36 degrees, angle C is 54 degrees

=================================================================

Work Shown:

The angles A and C are complementary, meaning they add to 90 degrees.

(Angle A) + (Angle C) = 90

(2x-4) + (2x+14) = 90

(2x+2x)+(-4+14) = 90

4x+10 = 90

4x+10-10 = 90-10 .... subtract 10 from both sides

4x = 80

4x/4 = 80/4 ..... divide both sides by 4

x = 20

If x = 20, then,

angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees

angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees

Note how A+C = 36+54 = 90 which helps confirm our answers.

8 0
3 years ago
Help or sus lots of points ​
zimovet [89]

answer is steeper

Step-by-step explanation:

3 0
2 years ago
Only some of the students in the Level 1 swim lessons move up to Level 2 at the end of
larisa86 [58]

The list that orders the fractions from least to greatest is:

  • \frac{7}{12}, \frac{2}{3}, \frac{17}{24}, \frac{3}{4}

<h3>Ordering of fractions</h3>
  • To order the fractions from least to greatest, we have to realize their conversion to decimal.
  • To realize the conversion, the numerator is divided by the denominator, as ordering decimal numbers are easier than fractions.

Hence, the fractions converted to decimal are:

  • \frac{2}{3} = 0.6667.
  • \frac{7}{12} = 0.5833.
  • \frac{17}{24} = 0.7083
  • \frac{3}{4} = 0.75

Hence, the list from least to greatest is, according to the results of the conversions:

  • \frac{7}{12}, \frac{2}{3}, \frac{17}{24}, \frac{3}{4}

To learn more about ordering of fractions, you can take a look at brainly.com/question/26139168

7 0
2 years ago
Solve the inequality<br> 7x&lt;5x-8
Aleksandr [31]
Minust 5x both sides
7x-5x<5x-5x-8
2x<-8
divide by 2 both sides
x<-4
6 0
3 years ago
Write the expression in standard form<br><br> 1/5(5x−10)−3
maxonik [38]

Answer:

x-5

Step-by-step explanation:

1/5(5x-10)-3

5/5x-10/5-3

x-2-3

x-5

4 0
3 years ago
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