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xxMikexx [17]
3 years ago
14

Represent each set of data in a dot plot. Determine the median, mode, and range.

Mathematics
1 answer:
Kitty [74]3 years ago
5 0

Answer:

Median: 52

Mode: 52

Range: 20

Step-by-step explanation:

Median: is the center of the data, and you would find that by writing out each number of the data set from least to greatest and find the center.

But in this case there are two numbers in the center. 52, and 52.

You would then add those up and get 104

Then you would divide that by two and 54 as your median.

Mode: is the number that appears most in the data set. So when you written out the data set from least to greatest you can see what number appears the most. And in this problem I found out the answer was 52 because it appeared four time, which is more than any number that was in the data set.

Range: is the difference between the maximum and minimum number in a data set.

The maximum in this data set is 65

The minimum is 45

So 65 - 45 = 20

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In this unit, you worked with geometric proofs. A proof is a logical sequence of justified conclusions that lead from a hypothes
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Step-by-step explanation:


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3 years ago
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1 x (3 + 7) = (1 x 3) + (1 x 7) is an example of which property?
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Answer:

distributive property

Step-by-step explanation:

they distribute the 1 to the 3 and 7 to make it easier

hope this helps

6 0
3 years ago
The average homicide rate for the cities and towns in a state is 10 per 100,000 population with a standard deviation of 2. If th
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Answer:

P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)  

And we can find this probability with the complement rule:  

P(Z>-1)=1-P(Z  

Step-by-step explanation:

Previous concepts  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem  

Let X the random variable that represent the average homicide rate for the cities of a population, and for this case we know the distribution for X is given by:  

X \sim N(10,2)  

Where \mu=10 and \sigma=2  

We are interested on this probability  

P(X>8)  

And the best way to solve this problem is using the normal standard distribution and the z score given by:  

z=\frac{x-\mu}{\sigma}  

If we apply this formula to our probability we got this:  

P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)  

And we can find this probability with the complement rule:  

P(Z>-1)=1-P(Z  

5 0
3 years ago
Solve for x then solve for b
trasher [3.6K]

Answer:

x= 6 and b= 126°

Step-by-step explanation:

okay the first step to solving this is understanding what are the properties of ∠A and ∠B.

so the angles are equal to each other because they are alternate interior angles.

if that is settled it means the equation for both angles would be equal to each other as well.

∠A= 8x + 78°  ∠B= 2x + 114°

therefore: 8x + 78= 2x + 114

                 then solve for x:

  • isolate x and the answer is equal to 6 at the end

now you are looking for angle b, so you input x which is 6 into the equation;

  • ∠B= 2x + 114°

    = 2(6) + 114°

    =12 + 114°

    =126°

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3 years ago
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