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NeX [460]
3 years ago
15

Solve this problem as FAST as YOU can

Mathematics
1 answer:
natka813 [3]3 years ago
3 0

That's actually tough

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Items produced by a manufacturing process are supposed to weigh 90 grams. The manufacturing procon
Annette [7]

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

4 0
3 years ago
Triangle abc is reflected across line L to form
Maslowich

Triangle abc i guess

I don't rlly understand what you mean

8 0
4 years ago
A shopkeeper buys a television from a manufacturer. The shopkeeper sells the television for $2700 at a profit of 20% A)how much
Georgia [21]

Answer:

$2250

$2430

Step-by-step explanation:

If the seller made a profit of 20%, it means he sold the television at a price that is 20% higher than the cost price. That means that the sales price is 1.2 times higher than the cost price

let t = cost price of the television

the following equation can be derived

1.2 x t = $2700

divide both sides by 1.2

t = $2250

If there is a 10% discount, the television is (100 - 10%) 90% cheaper

0.9 x 2700 = $2430

7 0
3 years ago
What is 3*5 plesase helllpppp
Zigmanuir [339]

Answer:

15

Step-by-step explanation:

pls brainiest

5 0
3 years ago
Read 2 more answers
What is the result of factoring out the GCF from the expression (24 + 36)
Mandarinka [93]

The answer to this is B

24+36 is 60

And 12*(2+3) is also 60

Answer is B

12*(2+3)

8 0
3 years ago
Read 2 more answers
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