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Nat2105 [25]
3 years ago
15

The data sets represent the five starting players of four basketball teams. Order the teams from least to greatest based on the

mean height of the teams.
69,68,72,69,76

64,74,73,69,73

68,74,69,64,77

72,67,25,60,70
Mathematics
1 answer:
monitta3 years ago
6 0

Answer:

Step-by-step explanation:

Top team=1

Next to top=2

Next to 2=3

Bottom=4

Team 1=69+68+72+69+76=354; 354/5=70.8

Team 2=64+74+73+73+69=353; 353/5=70.6

Team 3=68+74+69+64+77=352; 352/5=70.4

Team 4=72+67+25+60+70=294; 294/5=58.8

Therefore in order

Team 4=58.8

Team 3=70.4

Team 2=70.6

Team 1=70.8

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A baker uses 13 1/2 cups of flour to make bread. She uses 2 1/4 cups of flour to make each loaf. The baker sells 2/3 of the loav
ollegr [7]

Answer:

She sells 4 loaves of bread

Step-by-step explanation:

Lets explain how to solve the problem

→ A baker uses 13\frac{1}{2} cups of flour to make bread

→ She uses 2\frac{1}{4} cups of flour to make each loaf

From these information we can find the number of loaves of bread

she can make

∵ There are 13\frac{1}{2} cups of flour

∵ Each loaf of bread needs 2\frac{1}{4} cups of flour

∴ The number of loaves = 13\frac{1}{2} ÷ 2\frac{1}{4}

To divide two mixed numbers make them improper fractions and

change the division sign to multiplication sign and reciprocal the

fraction after the division sign

∵ 13\frac{1}{2} = \frac{(13)(2)+1}{2}

∴ 13\frac{1}{2} = \frac{27}{2}

∵ 2\frac{1}{4} = \frac{(2)(4)+1}{4}

∴ 2\frac{1}{4} = \frac{9}{4}

∴ The number of loaves = \frac{27}{2} × \frac{4}{9}

∴ The number of loaves = 6

<em>She can make 6 loaves</em>

→ The baker sells \frac{2}{3} of the loaves of bread that she makes

→ We need to find the number of loves of bread she sells

∵ She sells \frac{2}{3} of the loaves

∵ There are 6 loves

∴ The number of loaves she sells = 6 × \frac{2}{3} = 4

<em>She sells 4 loaves of bread</em>

7 0
3 years ago
Length of a rectangle is 8cm increased by 150%.calculate the new lenght​
sashaice [31]

Answer:

l=8

l'=8×150/100=12cm

increase in l=8+12=20cm

3 0
3 years ago
Read 2 more answers
Factor completely 3x^2+9x-3<br>3(x^2+3)<br>3(x^2+3-1)<br>3x(x^2+3x-1)<br>prime​
Firdavs [7]

Answer:

Answer from the answer data to choose from

<h2>3(x² + 3x - 1)</h2>

Factor completely

3\left(x+\dfrac{3-\sqrt{13}}{2}\right)\left(x+\dfrac{3+\sqrt{13}}{2}\right)

Step-by-step explanation:

3x^2+9x-3=(3)(x^2)+(3)(3x)-(3)(1)\\\\=(3)(x^2+3x-1)\\\\\text{For}\ x^2+3x-1\ \text{use the quadratic formula}\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x^2+3x-1\to a=1,\ b=3,\ c=-1\\\\x=\dfrac{-3\pm\sqrt{3^2-4(1)(-1)}}{2(1)}=\dfrac{-3\pm\sqrt{9+4}}{2}=\dfrac{-3\pm\sqrt{13}}{2}=-\dfrac{3\pm\sqrt{13}}{2}\\\\3x^2+9x-3=3\left(x+\dfrac{3-\sqrt{13}}{2}\right)\left(x+\dfrac{3+\sqrt{13}}{2}\right)

4 0
3 years ago
What is the positive square root of 16?​
vekshin1

Answer:

4

Step-by-step explanation:

because The square root of 16 is 4, which is a rational number.

5 0
3 years ago
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The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. The area of printed material on the po
grin007 [14]

Answer:

Dimensions of printed poster are

length is 32 cm

width is 48 cm


Step-by-step explanation:

Let's assume

length of printed poster is x cm

width of printed poster is y cm

now, we can find area of printed poster

so, area of printed poster is

=xy

we are given that area as 1536

so, we can set it to 1536

xy=1536

now, we can solve for y

y=\frac{1536}{x}

now, we are given

The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm

so, total area of poster is

A=(8+x+8)\times (12+y+12)

A=(x+16)\times (y+24)

now, we can plug back y

A=(x+16)\times (\frac{1536}{x}+24)

now, we have to minimize A

so, we will find derivative

A'=\frac{d}{dx}\left(\left(x+16\right)\left(\frac{1536}{x}+24\right)\right)

we can use product rule

A'=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)

=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)

now, we can simplify it

A'=-\frac{24576}{x^2}+24

now, we can set it to 0

and then we can solve for x

A'=-\frac{24576}{x^2}+24=0

-\frac{24576}{x^2}x^2+24x^2=0\cdot \:x^2

-24576+24x^2=0

x=32,\:x=-32

Since, x is dimension

and dimension can never be negative

so, we will only consider positive value

x=32

now, we can solve for y

y=\frac{1536}{32}

y=48

so, dimensions of printed poster are

length is 32 cm

width is 48 cm


5 0
3 years ago
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