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3 years ago

What is the median of the data set represented by the box plot 37, 45, 50, 67, 75

2 answers:

8 0

Hey there! :)

The median is the middle number when ordered from least to greatest.

The numbers are already ordered.

There are 5 numbers. The median is the 3rd number with 2 numbers on each side.

37, 45, 50, 67, 75

The median is 50

Hope this helps :)

ASHA 777 [7]3 years ago

5 0

If you are looking for the median number, it would be the number in the middle which is 50

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A rectangle has a length of 34 inches less than 5 times it’s width. If the area of the rectangle is 867 square inches, find the

pshichka [43]

Length of the rectangle is 51 inches

Solution:

Given that

Length of the rectangle in 34 miles less than 5 times its width

Area of rectangle = 867 square inches

Need to determine length of the rectangle.

Let assume width of the rectangle be represented by variable x.

So 5 times width of the rectangle =5x

34 inches less than 5 times width of the rectangle = 5x – 34

As Length of the rectangle in 34 miles less than 5 times its width

=> Length of the rectangle = 5x – 34

The formula for rectangle is given as:

$\text { area of rectangle }=length \times width$

As given that Area of rectangle = 867 square inches

$\begin{array}{l}{=>867=(5 x-34) \times(x)} \\\\ {=>5 x^{2}-34 x-867=0}\end{array}$

On solving quadratic equation by using quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

In our case a = 5, b = -34 and c = -867

On substituting value of a, b and c in quadratic formula we get

$\begin{array}{l}{x=\frac{-(-34) \pm \sqrt{(-34)^{2}-4 \times 5 \times(-867)}}{2 \times 5}} \\\\ {=>x=\frac{34 \pm \sqrt{18496}}{10}=\frac{34+136}{10}} \\\\ {=>x=\frac{34+136}{10}=17 \text { or } x=\frac{34-136}{10}=-10.2}\end{array}$

Since x represents width, it cannot be negative, so x = 17

Length of the rectangle = 5x – 34 = 5(17) – 34 = 51

Hence length of the rectangle is 51 inches

5 0

3 years ago

PLEASE HELP ASAP Hi! Please help me guys!!! This is difficult for me.. :c ~Why might a solution to an inequality not be reasonab

abruzzese [7]

Answer:

When the solution is negative

Step-by-step explanation:

One example, let's say you are buying pens and each pen cost 3 dollars and you cannot spend more than 15 dollars, how many pens can you buy?

The inequality would be 3x < 15, so any negative solution is not reasonable because you cannot buy negative pens. The same goes for most real-world problems dealing with time, money, or distance.

8 0

3 years ago

HELP!!! A plumber charges a fee of $25 plus $30 per hour on the job. Make a table of values for the total charge depending on th

Effectus [21]

Answer:

Yes, this function can be defined by linear model.

Step-by-step explanation:

$\mathrm{Total\:=\:Fixed\:Fee\:+\:Hourly\:Rate\:\times Number\:of\:hours}$

$\mathrm{Linear:}\:\:T=\:$25+30h$

Best Regards!

3 0

3 years ago

If y varies inversely as x, and y = 10 when x = 20, find x when y = 16.

Ipatiy [6.2K]

Answer:

12.5

Step-by-step explanation:

y varies inversely as x.

y = k/x

10 = k/20

200 = k

The constant proportion k is 200.

16 = 200/x

Cross multiply.

200 = 16x

200/16 = x

x = 12.5

5 0

3 years ago

What is the value of z in the equation 2(4z – 9 – 11) = 166 – 46?

Roman55 [17]

2(4z-9-11)=166-46
8z-18-22=120
8z-40=120
Add 40 from both side
8z-40+40=120+40
8z=160
Divided 8 from both side
8z/8=160/8
z=20. Hope it help!

6 0

2 years ago

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