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damaskus [11]
2 years ago
6

What's the weighted mean frequency for the following car sales? 2 sold at $25,090, 3 sold at $20,000, 1 sold at $21,475, and 1 s

old at $39,638
Mathematics
2 answers:
RSB [31]2 years ago
7 0

Answer:

The value of weighted mean is $24470

Step-by-step explanation:

Weighted mean \bar{x}  is given by

\bar{x} =\frac{w_1x_1+w_2x_2+w_3x_3+w_4x_4}{w_1+w_2+w_3+w_4}

In the given question

w_1=2 ,x_1= \$25090

w_2=3 ,x_2= \$20000

w_3=1 ,x_3= \$21475

w_4=1 ,x_4= \$39638

Therefore

\bar{x} =\$[\frac{2\times25090+3\times20000+1\times21475+1\times39638}{2+3+1+1}]

=>\bar{x} =\$24470

Thus the value of weighted mean is $24470

ad-work [718]2 years ago
3 0
23,724 is the answere to your questing
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in june , a camp has 325 campers and 26 counselors, in july,265 campers leave and 215 new campersarrive.How many counselors does
Lostsunrise [7]

Answer:

  • <u>22 counselors</u>

<u></u>

Explanation:

<u>1. Ratio of campers to counselors in june:</u>

  • number of campers: 325

  • number of counselors: 26

  • Ratio = number of campers / number of counselors

  • Ratio = 325 campers / 26 counselors

<u />

<u>2. Ratio of campers to counselors in july:</u>

  • number of campers = 325 - 265 + 215 = 275

  • number of counselors = x (unknown)

  • Ratio = 275 campers / x

<u />

<u>3. Equivalent ratios:</u>

  • 325 campers / 26 counselors = 275 campers / x

Solve for x:

  • x = (26counselors/325campers) × 275campers = 22 counselors ← answer

3 0
2 years ago
To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a
shusha [124]

Answer:

C. (18+4)

Step-by-step explanation:

The answer on ed

6 0
2 years ago
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A mirror is made of two congruent parallelograms as shown in the diagram. The parallelograms have a combined area of 9 1/3 squar
Vika [28.1K]
Given:
2 parallelograms with an area of 9 1/3 yd²
height of each parallelogram is 1 1/3 yd

Area of parallelogram = base * height

We need to divide the combined area into two to get each parallelogram's base.

9 1/3 = ((9*3)+1)/3 = 28/3

28/3 ÷ 2 = 28/3 * 1/2 = 28/6 yd² or 4 4/6 yd² ⇒ 4 2/3 yd²

Area of each parallelogram is 4 2/3 yd²

4 2/3 yd² = base * 1 1/3 yd

14/3 yd² ÷ 4/3 yd = base

14/3 yd² x 3/4 yd = base
14*3 / 3*4 = base
42 / 12 = base
3 6/12 yd = base
or 3 1/2 yd = base

a) the base of each parallelogram is 3 1/2 yards
b) we can assume that the two parallelograms form a rectangle.
area of a rectangle is length times width.

length is 3 1/2 yds * 2 = 7 yds
width is 3 1/2 yds

Area of rectangle = 7 yds * 3 1/2 yds
Area = 7 yd * 7/2 yd
Area = 7*7 / 2 yd²
Area = 49 / 2 yd²
Area = 24 1/2 yd²


8 0
2 years ago
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Find the dimensions of the box with volume 1728 cm3 that has minimal surface area. (Let x, y, and z be the dimensions of the box
Gala2k [10]

Answer:

The dimensions of the box are 12 cm , 12 cm , 12 cm

Step-by-step explanation:

Let x , y and z be the dimensions of box

Volume of box =xyz=1728

z=\frac{1728}{xy}

Surface area of box = 2xy+2yz+2xz=2xy+2y(\frac{1728}{xy})+2x(\frac{1728}{xy})

Let f(x,y)=2xy+2(\frac{1728}{x})+2(\frac{1728}{y})

To get minimal surface area

\frac{\partial f}{\partial x}=0 and \frac{\partial f}{\partial y}=0

\frac{\partial(2xy+2(\frac{1728}{x})+2(\frac{1728}{y}))}{\partial x}=0

2y-2(\frac{1728}{x^2})=0

y=\frac{1728}{x^2} ----1

\frac{\partial(2xy+2(\frac{1728}{x})+2(\frac{1728}{y}))}{\partial y}=0

2x-2(\frac{1728}{y^2})=0\\x=\frac{1728}{y^2}  \\y^2=\frac{1728}{x}

Using 1

(\frac{1728}{x^2} )^2=\frac{1728}{x}

x=0 and x^3=1728

Side can never be 0

So,x^3=1728

x=12

y=\frac{1728}{x^2} \\y=\frac{1728}{12^2}

y=12

z=\frac{1728}{xy}\\z=\frac{1728}{(12)(12)}

z=12

The dimensions of the box are 12 cm , 12 cm , 12 cm

5 0
2 years ago
A jar contains 0.85 liter of strawberry juice and 0.50 liter of mango juice. Celina poured 0.15 liter of watermelon juice into t
steposvetlana [31]

Original-drank+added=result

orignail=stwabery+mango+watermelon

original=0.85+0.50+0.15=1.5liter

drank=0.3

orignail-drank=result

1.5-0.3=drank=1.2liter

A. see above

B. addition and subtraction facts

3 0
2 years ago
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