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2 years ago

What is the measure of each exterior angle of a pentagon

Mathematics

1 answer:

Mademuasel [1]2 years ago

7 0

<h3>Answer: 72 degrees</h3>

n = 5 is the number of sides in a pentagon

360/n = 360/5 = 72 is the measure of each exterior angle of the regular pentagon. It has to be a regular polygon or else you could have some exterior angle measures that are different. A regular polygon has all sides equal to one another, and it also has all angles equal to one another.

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Suppose that birth weights are normally distributed with a mean of 3466 grams and a standard deviation of 546 grams. Babies weig

Anon25 [30]

Answer:

3.84% probability that it has a low birth weight

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:

$\mu = 3466, \sigma = 546$

If we randomly select a baby, what is the probability that it has a low birth weight?

This is the pvalue of Z when X = 2500. So

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

$Z = \frac{2500 - 3466}{546}$

$Z = -1.77$

$Z = -1.77$ has a pvalue of 0.0384

3.84% probability that it has a low birth weight

3 0

3 years ago

Michael walks a group of dogs 3 miles every day. The graph below shows the relationship between the number of dogs in the group

hammer [34]

Can you please add the graph, plus the question?

5 0

2 years ago

3 Caleb claims that when you multiply a number by 10, you can just write a 0 at the right end of the number. Caleb gives the exa

devlian [24]

Answer:

They are both correct

Step-by-step explanation:

It's interpretation of the concept. In common practice multiplying by 10 means you add a zero and that's what we teach 10 year olds. But what does adding a zero mean? It means adding a place value and that's what you learn when you are

So in both examples just add a decimal:

2.0 x 10 = 20.

0.2 x 10 = 2.0

In conclusion, it depends on the level of precision required in the discussion and the level of maturity as to who is correct in their examples. If you are teaching 3rd graders math, by all means you add a zero. If you are discussing physics you are shifting over a place value.

8 0

3 years ago

What is the domain of f?

lana [24]

Answer: C) All real values of x such that $x \le 0$

In other words, x must be 0 or smaller.

===================================================

Explanation:

The reason why is because we must make the stuff under the square root to never be negative. We must make -2x be 0 or larger.

So,

$-2x \ge 0 \\\\-2x+2x \ge 0+2x \ \text{ ... add 2x to both sides}\\\\0 \ge 2x\\\\2x \le 0 \ \text{ ... flip both sides, and the inequality sign}\\\\x \le 0/2 \ \text{ ... divide both sides by 2}\\\\x \le 0$

As an example, if x = -2, then -2x = -2(-2) = 4 is positive. Applying the square root to a positive number is valid.

But if x = 5, then -2x = -2*5 = -10 is under the square root, which is not allowed.

3 0

2 years ago

A dolphin traveled 5 miles in 15 minutes, a stingray traveled 11 miles in 30 minutes, and a great white shark traveled 92 miles

WINSTONCH [101]

Dolphin: 5/15=1/3= .3333- miles per minute

Stingray: 11/30= .3666- miles per minute

Great White Shark: 92/(4 x 60)= .38333- miles per minute

The great white shark is the fastest.

6 0

2 years ago