40 Points!!! What are the domain and the range of this function?

Mathematics

2 answers:

Novay_Z [31]2 years ago

8 0

D:-5 ≤ x < 1
R:-4 ≤ y < 7
That is the domain and rang

ivanzaharov [21]2 years ago

3 0

Answer: The domain of a function is the set of values that we are allowed to plug into our function.

Step-by-step explanation:

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77julia77 [94]

Amazing good job you did great

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3 years ago

) Samantha has 6/7 of a apple pie. Drayden has 3/7 of a apple pie. How much pie do they have altogether? (Make sure to simply if

slavikrds [6]

Answer: 1 2/7, 7/9,3/4

Step-by-step explanation: 9/7 you had to make a whole then make the fraction 2/7. 7/9 you literally just had to subtract 8-1 to gt 7 and because the denominator didn't need to change it so that makes it 7/9. And the last one 9/12 well 3 can go into 9 and 12 evenly. For 9 it goes in 3 times and for 12 it goes in 3 to any you get 3/4.

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3 years ago

The breaking strength of a cable is assumed to be lognormally distributed with a mean of 75 and standard deviation of 20. • If t

son4ous [18]

Answer:

If the load of magnitude 50 is hung from the cable, determine the probability of failure of the cable?

There is a 10.56% probability of failure of the cable.

If the load can take values 30, 50, and 70 with probabilities 0.2, 0.35, and 0.45 respectively, determine the probability of failure of the cable?

There is a 15.87% probability of failure of the cable.

Step-by-step explanation:

Problems of normally distributed samples can be 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:

The breaking strength of a cable is assumed to be lognormally distributed with a mean of 75 and standard deviation of 20. This means that $\mu = 75, \sigma = 20$ .

If the load of magnitude 50 is hung from the cable, determine the probability of failure of the cable?

This is the pvalue of Z when $X = 50$ .

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

$Z = \frac{50 - 75}{20}$

$Z = -1.25$

$Z = -1.25$ has a pvalue of 0.1056.

There is a 10.56% probability of failure of the cable.

If the load can take values 30, 50, and 70 with probabilities 0.2, 0.35, and 0.45 respectively, determine the probability of failure of the cable?

Now we have that

$X = 0.2(30) + 0.35(50) + 0.45(70) = 55$