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3 years ago

Why do some absolute value equations have no solution?

2 answers:

7 0

An absolute value is the distance from 0 on a number line so it must be a positive number, and so because of that it is impossible to get or equal -1, this equation has no solution.

DerKrebs [107]3 years ago

6 0

Because both positive and negative values have<span> a positive </span>absolute value.

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2 years ago

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2 years ago

The American Veterinary Association claims that the annual cost of medical care for dogs averages $100 with a standard deviation

Taya2010 [7]

Answer:

The probability that the cost for someone's dog is higher than for the cat is 33.2%.

Step-by-step explanation:

With the data given, we know that the difference in cost of medical care of dogs and cats have a normal distribution with μ=-20 and σ=46.

To know the probability of the cost for the dog is higher than the cat, we have to calculate the probability of P(d>0).

Then we have to calculate z, and look up in a standarized normal distribution table.

Calculate z:

$z=\frac{X-\mu}{\sigma}=\frac{0-(-20)}{46}=\frac{20}{46}= 0.4348$

The probability of the difference being higher than 0, we have:

$P(d>0)=P(z>0.4348)=0.33185$

We can say that the probability that the cost for someone's dog is higher than for the cat is 33.2%.

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2 years ago