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hram777 [196]
2 years ago
15

12. What is the area of the quadrilateral?

Mathematics
1 answer:
ivolga24 [154]2 years ago
4 0
The answer is A 100 square centimeters
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Jeremy is the oldest of four brothers. Each of the four boys gets an allowance for doing chores at home each week. The amount of
frez [133]
$12.75-$11.25= $1.50, $9.75-$1.50= $8.25 his little brother should get $8.25 hope it helps
4 0
3 years ago
Explain how to graph y= -3/2 x + 4
alisha [4.7K]

Answer:

y = 3 x - 4

Step-by-step explanation:

4 0
2 years ago
Which is not a correct way to rewrite this expression using the distributive
Effectus [21]

Given:

The expression is

(2x^2+4x-7)(x-2)

To find:

The expression which is not a correct way to rewrite the given expression.

Solution:

We have,

(2x^2+4x-7)(x-2)

Using distributive property, we get

=(2x^2)(x-2)+(4x)(x-2)+(-7)(x-2)

=(2x^2)(x)+(2x^2)(-2)+(4x)(x)+(4x)(-2)+(-7)(x)+(-7)(-2)

Using distributive property the given expression can rewritten as:

=(2x^2+4x-7)(x)+(2x^2+4x-7)(-2)

Only the expression in option A is not a correct way to rewrite the given expression because (2x^2+4x-7) is not distributed to (x-2) properly.

Therefore, the correct option is A.

3 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
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Aden buys a ticket to the museum. His ticket cost 7.75 he pays with two 5 dollar bills. How much change should he get back
vichka [17]
5+5=10 and 10-7.75 is 2.25 so he would get back $2.25 as change
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3 years ago
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