Box A has 14 black pens and 6 blue pens box B has 9 black pens and 3 blue pens a pen is randomly chosen from each box list these events from least likely to most likely

Answers

Answer 1

Answer:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Possible outcomes:

Black - Black

Black - Blue

Blue - Black

Blue - Blue

Probability of each outcome:

Black-Black:

14 out of 20, and then 9 out of 12. So

[tex]P_{BkBk} = \frac{14}{20} \times {9}{12} = \frac{14*9}{20*12} = \frac{126}{240}[/tex]

Black-Blue:

14 out of 20, then 3 out of 12. So

[tex]P_{BkBl} = \frac{14}{20} \times {3}{12} = \frac{14*3}{20*12} = \frac{42}{240}[/tex]

Less likely than black-black.

Blue - Black:

6 out of 20, then 9 out of 12. SO

[tex]P_{BlBk} = \frac{6}{20} \times {9}{12} = \frac{6*9}{20*12} = \frac{54}{240}[/tex]

More likely than black-blue, less likely than black-black.

Blue - Blue

6 out of 20, then 3 out of 12

[tex]P_{BlBl} = \frac{6}{20} \times {3}{12} = \frac{6*3}{20*12} = \frac{18}{240}[/tex]

Least likely of the outcomes.

List these events from least likely to most likely:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black


Related Questions

find the slope! i have more to come so please help:(

Answers

Answer:  -3/2

=================================

Work Shown:

Rise = -3

Run = 2

Slope = rise/run = -3/2 = -1.5

----------------

Notes:

The rise and run correspond to the vertical and horizontal portions of the triangle shownThe rise is negative because we're going downhill when moving from left to right, so that also means the slope is negative. The run is always positive.

Answer:

m = - 3 / 2

Rise : -3

Run : 2

Step-by-step explanation:

According to the picture,

first coordinate : ( 2 , 1 )

second coordinate : ( 4 , - 2 )

Formulae : m=(y2-y1)/(x2-x1)

Substituting,

m = ( - 2 - 1 ) / ( 4 - 2 )

m = - 3 / 2

If this helps you, please mark brainliest!

Write 1/3 x^2 - 4x + 17 in vertex form

Answers

Answer:

f(x)=−4(x+ 41 ) 2 − 4 11

Explanation:

The given function is

f(x) = - 4 {x}^{2} - 2x - 3f(x)=−4x 2 −2x−3

To write the function is vertex form, we need to complete the square.

We first factor -4 to get:

f(x) = - 4 ({x}^{2} + \frac{1}{2} x) - 3f(x−4(x2 + 21 x)−3

Add and subtract the square of half the coefficient of x.

f(x) = - 4( {x}^{2} + \frac{1}{2} x + \frac{1}{16} ) - \frac{1}{4} - 3f(x)=−4(x 2 + 21 x+ 16 1 )− 41 −3

We factor the perfect square trinomial and simplify to get:

f(x) = - 4( {x + \frac{1}{4} )}^{2} - \frac{11}{4}f(x)=−4(x+ 41 ) 2 − 4 11

help pleaseee

find the equation of the line passing through (-5, -4) and (13, 5)

Answers

Answer:

y = 1/2x - 3/2

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-4) / 13 - (-5)

9 / 18

1/2

y = 1/2x + b

-4 = 1/2(-5) + b

-4 = -5/2 + b

-3/2 = b

The triangle is isosceles find the length h of side x in simplest radical form with a rational denominator

Answers

Answer:

x = √3

Step-by-step explanation:

Find the diagram attached

Given

Opposite = √3

Adjacent = x

Acute angle theta = 45degrees

According to SOH CAH TOA;

tan theta = opp/adj

tan 45 = √3/x

x = √3/tan45

x = 1

x = √3

Hence the value of x in its simplest radical form is √3

find the area of this parallelogram. HELP ASAP!

Answers

Answer:

260cm^2

Step-by-step explanation:

Given,

Base = 20cm

Height = 13cm

Area of a parallelogram = Base * Height

                                        = 20 * 13

                                        = 260cm^2

Answer:

260

Step-by-step explanation:

Area of parallelogram = base length times height

Given height = 13cm

Given base Length = 20

Area = 20 * 13 = 260

Need help ASAP DUE SOON PLEASE AND SHOW WORK ?!!!

Answers

Answer: 804.25

Step by step explanation:

In a right triangle, one angle measures x°, where sin xº 4/5
What is cos(90° - xº)?

Answers

Answer:   4/5

==========================================================

Rule:

if A+B = 90, then cos(A) = sin(B) and sin(A) = cos(B)

This can be rephrased into cos(A) = sin(90-A) and sin(A) = cos(90-A)

We'll focus on the second case sin(A) = cos(90-A)

Simply replace A with x and we have the same idea.

---------

So,

sin(x) = cos(90-x)

cos(90-x) = sin(x)

cos(90-x) = 4/5

You can prove this by drawing out a right triangle as shown below.

would the negative reciprocal of -8 be -1/8 or would it be postive?

Answers

it would be 1/8 since it’s just the opposite

an architects cWhat is the domain of this relation?

(12, 5)
(20, 0)
(20, 20)
(–13, 0)

Answers

Answer:

Domain { -13,12,20 }

Step-by-step explanation:

The domain is the input values

Domain { -13,12,20 }

We list them in order from smallest to largest and do not list repeats

Andy and Beth are walking at a constant pace around a circular track. At one point, Andy turn and walks at the same pace directly to the flag pole at the center of the track while Beth continues at the same pace around the track How far did Beth walk, in radians, after they separated?

Answers

Answer:

?

Step-by-step explanation:

Solve 5x2-2x-8=0 using the quadratic formula.

Answers

Answer:

[tex]x=\frac{1+\sqrt{41}}{5},\\x=\frac{1-\sqrt{41}}{5}[/tex]

Step-by-step explanation:

The quadratic formula states that the solutions for a quadratic is standard form [tex]ax^2+bx+c[/tex] are equal to [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex].

In [tex]5x^2-2x-8=0[/tex], we can assign the values:

[tex]a[/tex] of 5[tex]b[/tex] of -2[tex]c[/tex] of -8

Thus, we have:

[tex]x=\frac{-(-2)\pm \sqrt{(-2)^2-4(5)(-8)}}{2(5)},\\x=\frac{2\pm \sqrt{164}}{10},\\\begin{cases}x=\frac{2+ \sqrt{164}}{10}, x=\frac{1}{5}+\frac{\sqrt{41}}{5}=\frac{1+\sqrt{41}}{5}\\x=\frac{2- \sqrt{164}}{10}, x=\frac{1}{5}-\frac{\sqrt{41}}{5}=\frac{1-\sqrt{41}}{5}\end{cases}[/tex]

Answer:

(1+√41)/5, (1-√41)/5

Step-by-step explanation:

quadratic formula is (-b±√(b^2-4ac))/2a

in this equation,

a = 5

b = -2

c = -8

plug in the values

(2±√(4 - 4(5)(-8))/10

(2±√(4 + 160)/10

(2±√(164)/10

(2±2√(41))/10

1. (2+2√41)/10

(1+√41)/5

2. (2-2√41)/10

(1-√41)/5

Solve the system of equations.
y = 2x
y = x2-8
O A. (2, 4) and (-4,-8)
O B. (-2,-4) and (-4,-8)
O C. (2, 4) and (4,8)
O D. (-2,-4) and (4,8)​

Answers

Answer:

D

Step-by-step explanation:     Time Stamp (6  9  10  32)

Easiest way is to graph both equation and look for the intersections  see attached sreen shot

or  solve by substitution

y = 2x

y = x²- 8

2x = x²- 8                  solve for x

0  = x² - 2x - 8          factor

0 = (x - 4)(x + 2)

0 = 0   when x = 4 and -2      

calculate the y values

y = 2x      x = 4

y = 8                              (4, 8)

y = 2x      x = -2

y = -4                            (-2, -4)

     

The answer ISN’T -9/5,3.

Don't have to explain, but if u want then to ahead.

Thank you! :)

Answers

Answer:  [-1.8, 3]

Don't forget the square brackets.

=============================================

Work Shown:

[tex]|5x-3| \le 12\\\\-12 \le 5x-3 \le 12\\\\-12+3 \le 5x-3+3 \le 12+3 \ \text{ ... see note 1}\\\\-9 \le 5x \le 15\\\\-9\div 5 \le 5x\div 5 \le 15\div 5 \ \text{ ... see note 2}\\\\-1.8 \le x \le 3\\\\[/tex]

note 1: I added 3 to all sides to undo the "-3" in the middle.

note 2: I divided all sides by 5 to go from 5x to x (ie it undoes the multiplication on x).

--------------------

From there, we convert from compound inequality notation to interval notation.

Something in the form [tex]a \le x \le b[/tex] converts to the interval notation [a,b]

The square brackets say to include the endpoint.

So [tex]-1.8 \le x \le 3[/tex] converts to the final answer of [-1.8, 3]

x is any real number between -1.8 and 3, including both endpoints.

----------------------

It appears you had the right idea. You just needed to convert -9/5 to -1.8, and you also needed to surround everything with square brackets.

If your teacher wanted the answer in fraction form, then you would say [-9/5, 3]

PLEASE HELP AND ASAP!!!!
Find the mean of the given set of numbers. 1, 4, 2, 2, 6, 9

Answers

Answer:

4

Step-by-step explanation:

Answer:

There are several different means:

Arithmetic: 4 (This is most likely your answer.)

Geometric: 3.0862

Harmonic: 2.3736

Hope that this helps!

A city has 18 radio stations, including 4 college radio stations.
What is the probability that a randomly chosen radio station in this city is a college radio
station?
Write your answer as a fraction or whole number.

Answers

Answer:

2/9

Step-by-step explanation:

P=4/18=2/9

A submarine first went down 725 feet below sea level. It then went up 150 feet. What was the final depth of the submarine?

Answers

Answer:

575 feet

Step-by-step explanation:

the final depth = 725-150= 575

how to solve 9r^6/5r^3g^2

Answers

Answer:

9r^6 - 3g^2 / 5

Step-by-step explanation:

I think this would be the answer. Sorry if I am incorrect :')

help quickly pls area of a triangle: sine formula

Answers

Answer:

If you were to use the sine formula you would have to use the cosine formula to get one of the opposite sides and then use the sine formula.

For the area why not use 1/2 * 20 to get the base.

Then the height would be 24 * sin 63 = 21.38

That would give an area of 213.8

Find WX. Assume that segments which appear to be tangent are tangent.

Answers

Answer:

Step-by-step explanation:

Tangent from the point outside the circle are equal

WX  = XY

7x - 29 = 2x + 16 {Add 29 to both sides}

7x  = 2x + 16 +29

7x = 2x + 45 {Subtract 2x from both sides}

7x - 2x = 45

5x = 45     {Divide both sides by 5}

x = 45/5

x = 9

WX = 7x - 29

       = 7*9 - 29

        = 63 - 29

WX = 34

express the following number in words; 3468729165​

Answers

Answer:

three trillion four hundred and sixty eight million, seven hundred and twenty nine thousand and one hundred sixty five

Step-by-step explanation:

I need help I’m stuck

Answers

The answer is b and have a nice day

You dont have to tell me the answers for those, just what x equals, please.
1) (2x - 1)3 = 9 commutative 2) 3(1x) = 9

3) 6x - 1 = 9 4) 6x - 3 = 9 distributive

5) 3*2x - 3*1 = 9 distributive 6) 3(1 - 2x) = 9

What is the value of x? How do you know?

Answers

Answer:

go to photo math

Step-by-step explanation:

Can U pls Help Me pls​

Answers

Answer:

angle x= 60

so it is in the ratio 1:2:√3

√3x=3

ie.x=√3/3

adjacent side=x=√3/4

Step-by-step explanation:

everything can be found in the picture

Which shape has two right angles and at least one obtuse angle? WILL GIVE BRAINLIEST ASAP:)

Answers

Answer: B


Explanation: This trapezoid has two right angles, one obtuse angle and one acute angle.

The trapezoid has two right angles and at least one obtuse angle, the correct option is B.

What is the obtuse angle?

A obtuse angle is an angle which is greater than 90° and less than 180°.

A right trapezoid (also called right-angled trapezoid) has two adjacent right angles.

Right trapezoids are used in the trapezoidal rule for estimating areas under a curve.

An acute trapezoid has two adjacent acute angles on its longer base edge, while an obtuse trapezoid has one acute and one obtuse angle on each base.

Hence, the trapezoid has two right angles and at least one obtuse angle.

Learn more about trapezoid here;

https://brainly.com/question/1677597

#SPJ2

If the height and radius of a cylinder are doubled, how will the volume of the cylinder be affected?

the volume will double
the volume will quadruple
the volume will increase by a factor of six
the volume will increase by a factor of eight

ANSWER QUICK PLEASE!!!

Answers

Hope this helps!!!

Have a great day!!!

The volume will increase by a factor of eight.

What is Volume of Cylinder?

The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. Cylinder's volume is given by the formula, πr²h, where r is the radius of the circular base and h is the height of the cylinder.

Volume of Cylinder = πr²h

Put, r = 2R, h = 2H

New volume of Cylinder  = π (2R)².2H

                                = π.4R².2H

                                = 8πR²H

                                = 8V

Thus, the volume will increase by a factor of eight.

Learn more about volume of cylinder from:

https://brainly.com/question/16788902

#SPJ2

What is the median of this data set? Enter your answer as a decimal in the box median=​

Answers

Median is the middle value.

Writing the values from smallest to largest you have :

1/8, 1/8, 2/8, 2/8, 2/8, 3,8, 3/8, 4/8, 5/8

There are 9 values. The middle value ( median) would be the 5th number ( this would give you 4 numbers below it and 4 numbers above it.

The Median is 2/8

Answer:

2/8 is the median. In decimal, it is 0.25.

Happy learning!

--Applepi101

Please help me i'm struggling!

Answers

Answer:

y = [tex]\sqrt{x-5}[/tex]

This is the correct answer because I got it right.

Which inequality represents “six times a number is less than negative
6x >-39
4
6 + x>-39
6x < -39
4
6x5-393
4

Answers

Answer:

6x < - 39 3/4

Step-by-step explanation:

What are the dimensions of the rectangle shown on the coordinate plane?

Answers

The base is 5 units and the height is 4 units.

Hope this helps! :)

A marble is selected at random from a jar containing 3 red​ marbles, 4 yellow​ marbles, and 5 green marbles. What is the probability that the marble is yellow?

Answers

4/12 percent chance



Let me know if you need extra help with other questions!
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