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3 years ago

How are the side lengths of a polygon and its perimeter related? Use examples to explain

1 answer:

8 0

The perimeter of a polygon or any shape is just the sum of all of its sides. If you are asked to find the perimeter of a polygon, you would simply just add all the sides together. For example, if a square has 4 sides with the length 2m, the perimeter of that square would be 2m + 2m + 2m + 2m = 8m. Perimeter just means add all the sides.

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How can you determine if two expressions are equivalent?

Vladimir [108]

Simplify them until they can be simplified no more, then compare both sides.

7 0

3 years ago

In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample

Rasek [7]

Answer:

$P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

$p = \frac{17}{25}=0.68$

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

$X \sim Binom(n=6, p=0.68)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727$

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

$P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727$

6 0

3 years ago

Can someone tell me how to write a linear equation from a graph?

kotykmax [81]

Answer:

y=mx+b

Step-by-step explanation:

4 0

2 years ago

Kassie recorded the favorite sport of students at her school. She surveyed 800 students. How many more students chose Baseball t

lisov135 [29]

Answer:

40 more kids chose baseball over basketball.

Step-by-step explanation:

The best way to go about this is to use benchmark percentages.

For baseball, 25% of 800 people chose that, so we can do 800/4 to get 200, so 200 students chose baseball

For basketball, we could do 800/5 but that isn't mental math, so we can do 10% of 800 is 80 and 80*2=160. So 40 more kids chose baseball over basketball.

6 0

3 years ago

Can someone help please

Andreyy89

Answer:

option a

Step-by-step explanation:

in figure 1: 4n+8 = 4×1=4+8=12

figure 2:4n+8 =4×2=8+8=16 and so on

8 0

3 years ago