Suri's age is 4 less than 3 times her cousin's age. Suri is 17 years old. Which method can be used to find c, her cousin's age?

Mathematics

1 answer:

zzz [12.3K]3 months ago

4 0

Answer:

7 years

Step-by-step explanation:

Suri is 17 years old.

Her cousin's age is c.

Suri's age is stated to be 4 less than 3 times her cousin’s age.

This means we take 3 times her cousin’s age and subtract 4.

17 = 3c - 4

We now need to solve for c, which represents her cousin's age.

Add 4 to each side:

17 + 4 = 3c - 4 + 4

17 + 4 = 3c

21 = 3c

Now divide both sides by 3:

21/3 = 3c/3

7 = c

Thus,

Her cousin is 7 years old.

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Suppose that the weights of airline passenger bags are normally distributed with a mean of 47.88 pounds and a standard deviation

Zina [12379]

Answer:

There is a probability of 24.51% that the weight of a bag exceeds the maximum permitted weight of 50 pounds.

Step-by-step explanation:

Problems dealing with normally distributed samples can be addressed using the z-score formula.

For a set with the mean $\mu$ and a standard deviation $\sigma$ , the z-score for a measure X is calculated by

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

Once the Z-score is determined, we consult the z-score table to find the related p-value for this score. The p-value signifies the likelihood that the measured value is less than X. Since all probabilities total 1, calculating 1 minus the p-value gives us the probability that the measure exceeds X.

For this case

Imagine the weights of passenger bags are normally distributed with a mean of 47.88 pounds and a standard deviation of 3.09 pounds, thus $\mu = 47.88, \sigma = 3.09$

What probability exists that a bag’s weight will surpass the maximum allowable of 50 pounds?

That translates to $P(X > 50)$

Thus

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

$Z = \frac{50 - 47.88}{3.09}$

$Z = 0.69$

$Z = 0.69$ has a p-value of 0.7549.

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Additionally, we have that

$P(X \leq 50) + P(X > 50) = 1$