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2 years ago

An animal park has lions, tigers and zebras. 17% of the animals are zebras. What percentage are tigers? Show me your work!

Mathematics

1 answer:

antoniya [11.8K]2 years ago

3 0

Answer:

53% are tigers

Step-by-step explanation:

If you were referring to the question:

<u><em>An animal park has lions, tigers and zebras. 17% of the animals are lions and 3/10 of the animals are zebras. What percentage are tigers? Show me your work! </em></u>

We can then solve it by considering what is 3/10 in percent form.

When you think of percent, just remember that it is a portion for every 100. So think of a fraction that is proportional to 3/10 that is a fraction of 100:

$\dfrac{3}{10} = \dfrac{x}{100}\\\\\dfrac{300}{10}=x\\\\30 = x$

So 3/10 = 30/100 which in percentage form is 30%.

Now if:

17% = lions

30% = zebras

We can get the percentage by looking for how many out of 100% is left.

100% - (17% + 30%)

100% - 47%

53%

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Answer:

37.23% probability that randomly selected homework will require between 8 and 12 minutes to grade

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:

$\mu = 12.6, \sigma = 2.5$

What is the probability that randomly selected homework will require between 8 and 12 minutes to grade?

This is the pvalue of Z when X = 12 subtracted by the pvalue of Z when X = 8. So

X = 12

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

$Z = \frac{12 - 12.6}{2.5}$

$Z = -0.24$

$Z = -0.24$ has a pvalue of 0.4052

X = 8

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$Z = \frac{8 - 12.6}{2.5}$

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2 years ago

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Answer:

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b. So, for t = 2 years,

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