A new playground is in the shape of a square. On a scale drawing, the vertices of the playground’s coordinates are: (6,0.5), (6,−7.5), (−2,−7.5), (−2,0.5). How long is each side of the playground?

Answer:

x=12

Step-by-step explanation:

since they are supplementary they will have a sum of 180 degrees

The equation should look like this- (5x+4)+(4x+80)=180

after solving the equation- you get x=12

in order to see if that is correct you would plug in 12 where x is in our equation (5x+4)+(4x+80). which does equal 180 when 12 is plugged in

Therefore, 12 is your answer

Answer:

translate this to English and I'll help!(:

Answer:

-40

Step-by-step explanation:

please do not cry

Question:

Find the mean and compare it with the median. Find the standard deviation and compare it with the interquartile range. Calculate s for the data 4, 1, 3, 10, 2.

Answer:

(a)

[tex]Mean = 4[/tex]

[tex]Median=3[/tex]

[tex]Mean > Median[/tex]

(b)

[tex]IQR = 2[/tex]

[tex]SD = 3.2[/tex]

[tex]SD> IQR[/tex]

Step-by-step explanation:

Given:

Data: 4, 1, 3, 10, 2.

Solving (a): The mean and the Median

The mean is calculated as follows:

[tex]Mean = \frac{1}{n} \sum x[/tex]

Where

[tex]n = 5[/tex] i.e 5 data

So, the expression becomes:

[tex]Mean = \frac{1}{5}(4 + 1+3+10+2)[/tex]

[tex]Mean = \frac{1}{5}(20)[/tex]

[tex]Mean = 4[/tex]

Calculating the Median:

First, arrange the order (ascending order):

[tex]Data: 1, 2,3,4,10[/tex]

Because n is odd

The median is represented as:

[tex]Median = (\frac{n+1}{2})th\ item[/tex]

[tex]Median = (\frac{5+1}{2})th\ item\\[/tex]

[tex]Median = (\frac{6}{2})th\ item[/tex]

[tex]Median = 3rd\ item[/tex]

From the arranged data, the 3rd item is 3.

Hence:

[tex]Median=3[/tex]

By comparison, the mean is greater than the median because [tex]4 > 3[/tex]

Solving (b): Standard Deviation and IQR

The standard deviation is calculated as follows:

[tex]SD= \sqrt{\frac{\sum (x_i - Mean)^2}{n}[/tex]

So, we have:

[tex]SD= \sqrt{\frac{(4 - 4)^2+(1 - 4)^2+(3 - 4)^2+(10 - 4)^2+(2 - 4)^2}{5}[/tex]

[tex]SD= \sqrt{\frac{(0)^2+(- 3)^2+(- 1)^2+(6)^2+(-2)^2}{5}[/tex]

[tex]SD= \sqrt{\frac{0+9+1+36+4}{5}[/tex]

[tex]SD= \sqrt{\frac{50}{5}[/tex]

[tex]SD= \sqrt{10}[/tex]

[tex]SD = 3.2[/tex]

Calculating IQR

[tex]IQR = Q_3 - Q_1[/tex]

[tex]Data: 1, 2,3,4,10[/tex]

In (a), we calculate the median as:

[tex]Median=3[/tex]

First, we calculate [tex]Q_1[/tex]

[tex]Q_1 = Median\ of\ the\ first\ half.[/tex]

The first half is:

[tex]First\ Half = 1,2,3[/tex]

So:

[tex]Q_1 = 2[/tex]

First, we calculate [tex]Q_3[/tex]

[tex]Q_3 = Median\ of\ the\ second\ half.[/tex]

[tex]Second\ Half = 3,4,10[/tex]

So:

[tex]Q_3 = 4[/tex]

Recall that:

[tex]IQR = Q_3 - Q_1[/tex]

[tex]IQR = 4 - 2[/tex]

[tex]IQR = 2[/tex]

So, we have:

[tex]IQR = 2[/tex]

[tex]SD = 3.2[/tex]

By comparison, the standard deviation is greater than the IQR because:

[tex]3.2 > 2[/tex]

So,

[tex]SD> IQR[/tex]

Answer:

Step-by-step explanation:

What is the rest of the equation? I will edit/fix the answer after you finish the equation.

Complete question :

Wang Yong owes the bank $8500. To repay the debt, he paid a fixed amount back to the bank each month. After 12 months, his remaining debt was $6460. How much did Wang Yong pay each month?

Answer:

$170

Step-by-step explanation:

Given that:

Amount owed = $8500

Fixed amount replayed per month :

Amount left after 12 months = $6460

Amount paid per month :

Total amount paid over 12 months :

$(8500 - 6460) = $2040

Amount paid per month :

$2040 / 12

= $170

Answer:

Part A. Yong payed $170 dollars every month.

Part B. He took 50 months to pay his debt.

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer:

1. D. 150%

2. C. 37.19

Step-by-step explanation:

hope this helps!

Answer: C) 26^2 + 22 + 25

Step-by-step explanation:

Eliminate the parentheses

Add the numbers

19^2+12+25+7^2+10

Combine Like Terms

26^2+12+25+10

Answer:

26^2+22+25

Answer:

6c out of 42c^2 + 24c

6c(7c+4)

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

5+3=8

8+4=12

Answer:

Boundedness requires that there is only a bounded number of different kinds of parts

Step-by-step explanation:

Answer:5/8

Step-by-step explanation: transform the expression 8 so 7-2/8 =5/8

Answer:

5/8.

Step-by-step explanation:

Step-by-step explanation:

If x=10

[tex]\tt{ x^2-2(x+5) }[/tex] ⠀

[tex]\tt{ (10)^2-2×(10+5) }[/tex] ⠀

[tex]\tt{100-2×15 }[/tex] ⠀

[tex]\tt{ 100-30 }[/tex] ⠀

[tex]\bold{ 70 }[/tex] ⠀

16) k=176 hope you get to a point were your not failing

Answer: Fraction of paint used for bird  house = [tex]\dfrac14[/tex]

Step-by-step explanation:

Let quantity of the total paint be 1.

Given:  Fraction of paint to book shelf = [tex]\dfrac38[/tex]

Fraction of Paint to leg = [tex]\dfrac14[/tex]

Fraction of Paint left = [tex]\dfrac18[/tex]

Let x= fraction of paint used for bird house.

Total paint = [tex]\dfrac38 +\dfrac 14+\dfrac18+x=1[/tex]

[tex]\Rightarrow\ \dfrac{3+2+1}{8}+x=1\\\\\Rightarrow\ \dfrac{6}{8}+x=1\\\\\Rightarrow\ x=1-\dfrac68\\\\\Rightarrow\ x=\dfrac{2}{8}=\dfrac14[/tex]

So, Fraction of paint used for bird  house = [tex]\dfrac14[/tex]

Answer:

the 1st number line and 29

Step-by-step explanation:

The second one starts at 21 and takes away which gives 13. which isnt the answer. When adding numbers, you go forward

Answer:

2:1

Step-by-step explanation:

12 divided by 6 = 2

6 divided by 6 = 1

2:1

Answer:

x=2

y= -1

Step-by-step explanation:

Answer:

Converse: If two angles are supplementary then they add up to 180 degrees.

Inverse: If two angles are not supplementary then they do not add up to 180 degrees.

Contrapositive: If angles do not add up to 180 degrees, then the two angles are not supplementary.

Step-by-step explanation:

In logic the converse of an implication is obtained by reversing its two constituent statements. That is, for  P → Q, then the converse is Q → P.

The inverse of a conditional statement involves the negation of both the hypothesis and conclusion. That is, for p → q, the Inverse is  ~p → ~q note that ~ stands for NOT in the negation of the statement.

For a  contrapositive of any conditional statement, we interchange the hypothesis and the conclusion of the inverse statement as shown in statement III in the answer above.

Answer:

116 hamburgers

Step-by-step explanation:

divide 348 by 3. since cheese burgers were sold two times more than hamburgers, the answer would be 116.

Answer:

A, C, D

Step-by-step explanation:

Answer:

x= 5,-3

Step-by-step explanation:

(4x - 5) (x + 3) = 0.

[tex]4 {x}^{2} + 3x - 5x - 15 = 0 \\ 4{x}^{2} - 2x - 15 = 0 [/tex]

[tex]the \: roots \: are \:[/tex]

5 and -3

Answer:

a = -7

Step-by-step explanation:

-7 + (-5)=-12

Answer:

-7

Step-by-step explanation:

Hope this helps :)

Answer:

4/5

Step-by-step explanation:

Common factor is 3 so,

if you divide 12/15 by 3, then it will equal to 4/5

Answer:

4/5

Step-by-step explanation:

3 because thats what they have in common so devide both by 3 to get the answer

Answer:

The answer is 8/5. Hope you do great!:)

Step-by-step explanation: