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3 years ago

Columbus Ohio Population: 8.23 * 10^5

1 answer:

8 0

This is Scientific Notation here's what you have to do:

First find the Notation:

8.23×10^5

It positive so go to the right.

=823000.

Next do the same thing but with the next Notation:

3.19×10^8

Its positive so go to the right:

=319000000.

Then compare the Notation's

823000. and 319000000.

319000000. is bigger than 823000.

So your answer is 319000000. so its United States.

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The frequency distributions of two data sets are shown in the dot plots below.

fredd [130]

Answer:

1st, 4th and 6th statements are true.

Step-by-step explanation:

We have been given two dot-plots and we are asked to select all the true statements about given dot plots.

Let us write all the data points of both dot plots.

Data set 1:

1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 7.

Data set 2:

1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4.

1. The mean of data set 1 is greater than the mean of data set 2.

Let us find mean of both data sets.

$\text{Mean of data set 1}=\frac{1+1+1+1+1+2+2+2+2+2+2+2+2+3+3+3+4+4+7}{19}$

$\text{Mean of data set 1}=\frac{45}{19}$

$\text{Mean of data set 1}=2.3684\approx 2.37$

$\text{Mean of data set 2}=\frac{1+1+1+1+1+2+2+2+2+2+2+2+2+3+3+3+4+4}{18}$

$\text{Mean of data set 2}=\frac{38}{18}$

$\text{Mean of data set 2}=2.11$

We can see that mean of data set 1 is greater than mean of data set 2, therefore, 1st statement is true.

2. The mean of data set 1 is equal to the mean of data set 2.

Since mean of data set 1 is greater than mean of data set 2, therefore, 2nd statement is false.

3. The median of data set 1 is greater than the median of data set 2.

Since data set 1 has 19 data points, so median of data set 1 will be value of 10th data set, that is 2.

Our data set 2 has 18 data points, so median of data set 2 will be the average of 9th and 10th data points.

$\text{Median of data set 2}=\frac{2+2}{2}$

$\text{Median of data set 2}=\frac{4}{2}=2$

Since median of data set 2 is also 2, therefore, 3rd statement is not true.

4. The median of data set 1 is equal to the median of data set 2.

Since both data set's median is 2, therefore, 4th statement is true.

5. The standard deviation of data set 1 is smaller than the standard deviation of data set 2.

Using online SD calculator we get SD of data set 1 is 1.422 and SD of data set 2 is 0.936. Since 1.422 is greater than 0.936, therefore, 5th statement is false.

6. The data sets have the same interquartile range.

$Q_1\text{ of data set 1}=1$

$Q_3\text{ of data set 1}=3$

$\text{IQR of data set 1}=3-1=2$

$Q_1\text{ of data set 2}=1$

$Q_3\text{ of data set 2}=3$

$\text{IQR of data set 2}=3-1=2$

Since both data set's IQR is 2, therefore, 6th statement is true.

3 0

2 years ago

Read 2 more answers

What is the measure of angle 1?

tatiyna

Answer:

27 degrees

Step-by-step explanation:

The easy way is by remembering the formula (a-b)/2=c, where a is the larger angle, and b is the smallest angle. (90-36)/2=27.

The longer, more drawn out answer goes as follows. See the image to understand the notation I use:

AOE + BOD + BOA + DOE = 360
AOE + BOD = 90 + 36 = 126
BOA + DOE = 360 - AOE - BOD = 234
Since the sum of a triangle's angles is 180, ODE = (180 - DOE) / 2
Likewise, OBA = (180 - BOA) / 2
Since CDE is 180, CDO = 180 - ODE = 180 - (180 - DOE) / 2
Likewise, CBA is 180, so CBO = 180 - OBA = 180 - (180 - BOA) / 2
The interior angles of the irregular polygon CBOD add up to 360, so CBO + CDO + BOD + BCD = 360.
Substituting what we already found, 180 - (180 - BOA)/2 + 180 - (180 - DOE)/2 + 36 + BCD = 360
Cleaning it all up, we get 180 + (BOA + DOE)/2 + 36 + BCD = 360
As we found in line 3, BOA + DOE = 234, so substituting that in, 180 + 117 + 36 + BCD = 360
Finally, solving for BCD (360 - 36 - 117 - 180) we get our answer, 27

Note: The long drawn out method shown above is a way to derive the formula for the secant theorem. You do not need to use this method every time. Just remember, large angle minus small angle, all divided by 2. That is it.

5 0

1 year ago

A teacher finishes explaining a new concept to the class and wants to check that all the students have grasped the concept. The

faust18 [17]

Answer:

response bias

Step-by-step explanation:

because whan you are asked a question you expect response in return

3 0

2 years ago

Will the defenders be able to reach the ball carrier explain why or why not plz

Afina-wow [57]

Answer:

if your going based off of the path that they are taking i say yes because the will meet at the end point or in this case the 1 yard line

Step-by-step explanation:

6 0

2 years ago

Write (2 and 4/5) as a percent and then a decimal.<br><br><br><br> please help i don’t understand

worty [1.4K]

Percent is 480% and the decimal is 2.8

6 0

2 years ago