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tester [92]
2 years ago
6

Help please!!!!!!!!!!

Mathematics
1 answer:
guapka [62]2 years ago
6 0
Yes it is balanced because all aspects are there
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A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim
Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 14

Variance is 9.

The standard deviation is the square root of the variance.

So

\sigma = \sqrt{9} = 3

Calculate the probability that a component is at least 12 centimeters long.

This is 1 subtracted by the pvalue of Z when X = 12. So

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

Z = \frac{12 - 14}{3}

Z = -0.67

Z = -0.67 has a pvalue of 0.2514.

1-0.2514 = 0.7486

74.86% probability that a component is at least 12 centimeters long.

6 0
3 years ago
Which statement best explains how to find the area of the kite?
eimsori [14]

I think it is a D I'm not really sure

3 0
2 years ago
What is a domain? <br> What is a range?
lidiya [134]

Answer:

he domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

Step-by-step explanation:

:)

5 0
3 years ago
the set below only contains which types of numbers {-1,5,1/2,15,3.75,36,square root 81,100 are they irrational numbers rational
nika2105 [10]

Answer:

I believe Irrational numbers, That's the answer I used and got it correct!

Step-by-step explanation:

5 0
3 years ago
PLEASE HELP ME!!<br> .<br> . Not sure how to do thisssss
tino4ka555 [31]

√72 = √4 * √18 = 2√18. Therefore her answer is incorrect.

√72 = √4 * √9 * √2 = 6√2.

Since √2 is approximately 1.41,

6 * 1.41 = 8.46 = 8.5 (nearest tenth).

4 0
2 years ago
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