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3 years ago

You randomly choose one paper clip from a jar. In the jar there are 6 green, 3 white, 4 red, 2 blue, and 5 yellow paper clips.

Mathematics

1 answer:

grigory [225]3 years ago

7 0

Answer:

You have a 25%, or 1/4 chance that you will choose a yellow paper clip.

Step-by-step explanation:

1) First, you want to find the total number of paper clips.

6 + 3 + 4 + 2 + 5 = 20 total paper clips

<u>This is your denominator.</u>

2) From the problem, we can understand that there are 5 yellow paper clips.

<u>This is your numerator.</u>

3) From the numerator and denominator we have from above, your fraction is 5/20.

4) This can be simplified into 1/4, which is 25%.

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Fill in the box with the appropriate measure.<br> quick please I have only a few min left

Art [367]

Step-by-step explanation:

first box on the left

r=4

d=8

circumference= 2π*4= 8π

area = π*4*4= 16π

Second box on the left

d=6

r= 3

circumference= 2π*3= 6π

area =π*3*3= 9π

third box on the left

A=36π

A=36πarea= π*r*r

A=36πarea= π*r*rr= 6

A=36πarea= π*r*rr= 6d=12

A=36πarea= π*r*rr= 6d=12circumference= 2π*6= 12 π

the last box

C=18π

C=18πC= 2π*r

C=18πC= 2π*rr= 9

C=18πC= 2π*rr= 9d=18

C=18πC= 2π*rr= 9d=18area= π*9*9= 81π

8 0

2 years ago

How do you spell 4 billion in scientific notation

Tema [17]

Answer:

<h2>4 bilion = 4 × 10⁹</h2>

Step-by-step explanation:

The scientific notation:

$a\cdot10^k$

where

$1\leq a$

4 billion:

in USA: 4,000,000,000

in Europe: 4 000 000 000 000

$4\underbrace{000000000}_9=4\cdot10^9$

3 0

3 years ago

Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y), (9, 1, 0)

Archy [21]

Answer:

x - 8y - z = 1

Step-by-step explanation:

Data provided according to the question is as follows

f(x,y) = z = ln(x - 8y)

Now the equation for the tangent plane to the surface

For z = f (x,y) at the point P $(x_0,y_0,z_0)$ is

$z - z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\\$

Now the partial derivatives of f are

$f_x(x,y) = \frac{1}{x-8y} \\\\f_y(x,y) = \frac{8}{x-8y} \\\\P(x_0,y_0,z_0) = (9,1,0)\\\\f_z(9,1,0) = (\frac{1}{x-8y})_^{(9,1,0)}$

$\\\\=\frac{1}{9-8}$

= 1

Now

$f_y(9,1,0)=(\frac{8}{x-8y})_{(9,1,0)}\\\\ = -\frac{8}{9 - 8}$

= -8

So, the tangent equation is

$z - 0 = 1\times (x - 9) -8\times (y - 1)$

Now after solving this, the following equation arise

z = x - 9 - 8y + 8

z = x - 8y - 1

Therefore

x - 8y - z = 1

4 0

3 years ago

B={y | y is an integer and -5 < y < -2}

gtnhenbr [62]

Answer:

b = { -4, -3 }

Step-by-step explanation:

was that the question?

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3 years ago

Which of the following shapes are polygons with more than 444 sides?

Leviafan [203]

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3 years ago