If two sides of your triangle are 6cm and 18cm, what is the range of values that the third side could be?

Mathematics

2 answers:

Gnom [1K]3 years ago

5 0

Answer:

The ranges of the value can be from 12-24

Step-by-step explanation:

Hope this helps <3

Tell me if you want an explanation.

Amiraneli [1.4K]3 years ago

3 0

Answer:

17cm

Step-by-step explanation:

We are given two sides, so we can use the Pythagorean theorem [ a² + b² = c² ] to solve for the third side. Let a = 6 and c = 18.

6² + b² = 18²

36 + b² = 324

b² = 288

√b² = √288

b ≈ 17cm

Best of Luck!

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The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams

JulsSmile [24]

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 90 grams and a standard deviation of 2 grams.

This means that $\mu = 90, \sigma = 2$