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3 years ago

I have no idea what this means

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

6 0

Answer: square root is a number that can be multiplied by itself to get that number in that radical aka checked half box.

Step-by-step explanation: square root of 18 is

Approx: ~4.2

Since that approx multiplied by itself is 19. Search up place values. Numbers after the decimals start from, tenths place, hundredths, thousands place and so on. This one asked for the tenths place. 0.2 the 2 is in the tenths place

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How can we simplify the expression -(1-5n)-7n

dsp73

$-(1-5n)-7n \\ \\ -1 + 5n - 7n \\ \\ -1 - 2n \\ \\ Answer: \fbox {-1 - 2n}$

5 0

2 years ago

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

3 years ago

Read 2 more answers

Cheryl wants to find the number of hours seventh-graders do homework each week. There are 297 girls and boys in seventh grade. W

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It would be answer D

7 0

3 years ago

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Preethi writes fifteen 1s in a row and randomly writes + and - between each pair of consecutive 1s. Find the probability that th

amid [387]

Answer:

The probability that the expression Preeti wrote has the value 7 cannot be easily determined.

Step-by-step explanation:

Given that Preeti writes

111111111111111,

then randomly writes + and - between each pair of consecutive 1's.

It is not specified that the + and - signs are written to be alternating, they are said to be just 'random'. So, there are a lot of possibilities. Things like:

1+1-1+1+1-1+1-1-1-1+1+1-1+1-1 = 1

1-1-1+1+1-1-1+1+1-1+1-1+1+1-1 = -1

1-1+1-1-1+1-1+1+1-1-1+1-1+1+1 = 0

And so on. There is a lot of possibilities.

So, clearly, the probability is difficult to determine, as the expression Preeti wrote could have had the value 7 in many different forms.

Because:

1+1+1+1+1+1+1-1+1-1+1-1+1-1+1 = 7

1+1+1+1-1-1-1-1-1+1-1-1-1+1+1 = 7

And many more.

Therefore, the probability that the expression Preeti wrote has the value 7 cannot be easily determined.

5 0

2 years ago

What steps should be followed to solve the inequality -4x < 8.

marishachu [46]

Answer:

The require step to solve the inequality

$-4x < 8$ is

Divide by -4 on each side and flip the sign.

$\therefore x$

Step-by-step explanation:

What steps should be followed to solve the inequality

$-4x < 8$

Solution:

$-4x < 8$

Divide by -4 on each side and flip the sign.

So the equation becomes

$\dfrac{-4x}{-4}> \dfrac{8}{-4}\\ \\$

Now minus 4 will get cancel from left and side and in right inside -2 will be there such that (flip the sign)

$\dfrac{x}{1}> \dfrac{-2}{1}\\\\\therefore x>-2$

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3 years ago

Read 2 more answers