A $45 pair of shoes is on sale for 20% off. How much money is saved?

For the expression, use a property to write an equivalent expression, tell which property you used. Please help, and thank you :

raketka [301]

What about if you use the distributive property? You could do 1(x+13) because the 1 would distribute to the x and the 13 making it x+13. Hope that is helpful.

4 0

3 years ago

According to a Los Angeles Times study of more than 1 million medical dispatches from to , the response time for medical aid var

-BARSIC- [3]

Answer:

A)Mean :10.65

Median =10.7

Mode : 10.7

B)Range = 3.5

Standard deviation :0.89916

C)The response time of 8.3 minutes should be considered an outlier in comparison to the other response times

Step-by-step explanation:

A)

Data : 11.8 ,10.3, 10.7, 10.6, 11.5, 8.3, 10.5, 10.9, 10.7, 11.2

$Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{11.8 +10.3+ 10.7+ 10.6+ 11.5+ 8.3+ 10.5+ 10.9+ 10.7+ 11.2}{10}$

Mean = 10.65

Median: The mid value of the data

Data in ascending order

8.3

10.3

10.5

10.6

10.7

10.9

11.2

11.5

11.8

n=10(even)

$Median = \frac{(\frac{n}{2})\text{th term}+(\frac{n}{2}+1)\text{th term}}{2}\\Median = \frac{(\frac{10}{2})\text{th term}+(\frac{10}{2}+1)\text{th term}}{2}\\Median = \frac{10.7+10.7}{2}\\Median = 10.7$

Mode : the most occurring frequency

10.7 is occurring twice while others are occurring once

So, Mode is 10.7

B) Range = Maximum - Minimum=11.8-8.3=3.5

Standard deviation : $\sqrt{\frac{\sum(x-\bar{x})^2}{n}}$

Standard deviation : $\sqrt{\frac{(11.8-10.65)^2+(10.3-10.65)^2+......+(10.9-10.65)^2+(10.7-10.65)^2+(11.2-10.65)^2}{10}}$

Standard deviation :0.89916

C)

8.3

,10.3

,10.5

,10.6

,10.7

,10.9

,11.2

,11.5

,11.8

For Q1 ( Median of lower quartile )

8.3

,10.3

,10.5

,10.6

,10.7

$Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=10.5$

For Q3( Median of Upper quartile )

10.7

,10.9

,11.2

,11.5

,11.8

$Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=11.2$

IQR = Q3-Q1=11.2-10.5=0.7

Range :(Q1-1.5IQR, Q3-1.5IQR)

Range : $(10.5-1.5 \times 0.7, 11.2-1.5 \times 0.7)$

Range :(9.45, 10.15)

8.3 does not lie in this interval

So, the response time of 8.3 minutes should be considered an outlier in comparison to the other response times

3 0

3 years ago

Lavina wants to buy a rocking chair for 160$ she'll pay 10% down and pay the rest in six monthly installments.what will the amou

amid [387]

24

as 160÷10=16
160-16=144
144÷6=24

3 0

3 years ago

The rocket goes up and it does not come down w: the rocket goes up z: the rocket comes down

ehidna [41]

Answer:

w

Step-by-step explanation:

if the rocket does not come down, then it stays up.

6 0

3 years ago

5. Geometry A rectangular vegetable garden has a length of 8 ft and a width of 5 ft. The width is increased by 2 ft. By how many

Firlakuza [10]

A rectangular garden has a length of 5ft and a width of 8 ft. The length is increased by 2 feet. By how many square feet does the area increase?

Step 1. Area of a rectangle is given as A=length * width

Step 2. Then, A1=5*8=40 square feet of original area of rectangular garden.

Step 3. Then, A2=(5+2)*8=56 square feet since the length is increased by 2. feet.

Step 4. Difference = A2 - A1 = 56 - 40 = 16 square feet.

Step 5. ANSWER: The area increased by 16 square feet.

4 0

2 years ago