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

is (0,0) a solution to x + y > 5 , 2x - y < 4​

Answers

Answer:

(0,0) is not a solution to x + y > 5 , but it is a solution for 2x - y < 4

Step-by-step explanation:

Substitute x=0,y=0

0>5 (not possible)

0<4(possible)

A group of people were asked how many people live in their household. What percent of these people have exactly 2 people in their household?

Answers

Answer:

16%

Step-by-step explanation:

Given

[tex]\begin{array}{cccccc}{Size & {1} & {2} & {3} & {4} & {5} \ \\ {f} & {3} & {4} & {6} & {7} & {5} \ \end{array}[/tex]

Required

The percentage of household with 2 people

First, calculate the total frequency

[tex]Total = 3 + 4 +6+7+5[/tex]

[tex]Total = 25[/tex]

The frequency of household with 2 people is:

[tex]f(2) = 4[/tex]

So, the percentage is calculated as:

[tex]\% =\frac{f(2)}{Total} * 100\%[/tex]

[tex]\% =\frac{4}{25} * 100\%[/tex]

[tex]\% =\frac{400}{25}\%[/tex]

[tex]\% =16\%[/tex]

Please help me with this

Answers

Answer:

Step-by-step explanation:

Gabriela has  solved incorrectly. 5 should distributed to 9x & (-8) and 4 should be distributed between x & 2

5(9x - 8) = 4*(x + 2)

5*9x - 5*8 = 4*x + 4*2

45x - 40  = 4x + 8

Subtract 4x from both sides

45x - 4x - 40 = 8

       41x - 40 = 8

Add 40 to both sides

41x = 8 + 40

  41x = 48

x = 48/41

I’m not really sure what it’s would be?

Answers

angle y = 130°

___________________________

What's the circumference of a circle with a diameter of 18 inches? Use 3.14 for pi, do not round the answer.​

Answers

Circumference = (3.14)(18)

C= 56.52inches

Need this in now it’s 15 points

Answers

Try to find the slope
Change in y/change in x
The 2 dots on the line should be used.
8/4 so it’s y=2x+c
Use one of the dots (3,6) into the equation to get c.
6=2(3)+c
6=6+c
C=0
Y=2x
The answer is the last option

if a dog drinks 8 quart of water a day, how many gallons does the dog drink in 3 days​

Answers

Answer:

6 gallons

Step-by-step explanation:

There are 4 quarts in gallons, so the dog drinks 2 gallons a day.

When we multiply 2 and 3, we would get 6.

So the dog drinks 6 gallons in 3 days (I don't know about you, but that's a lot of water)

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

Have a great summer :)

Answer:

The dog will drink 6 gallons.

Step-by-step explanation:

Every 8 quarts is 2 gallons.

Multiply 2 by 3, you'll get 6.

that's how much gallons a dog drinks in 3 days.

Plot the coordinates of the point:
(a) whose co-ordinate is -5 and which lies on y axis.
(b) Which lies on x and y-axis both.
(c) whose abscissa is 3 and which lies on x-axis in cartasian plance.​

Answers

Answer:

First, a regular point is written as a coordinate pair (x, y).

If the point lies on the x-axis, then we have y = 0

if the point lies on the y-axis, then x = 0

And x is the abscissa, y is the ordinate.

The points will be graphed at the end.

a)

Ordinate = -5, then y = -5

and it ies on the y-axis, then x = 0

So this point is represented by A = (0, -5)

b)

Lies on the y-axis and in the x-axis, then x = 0 and y = 0, so the point is represented by B = (0, 0)

c)

The abscissa is 3, so x = 3, and the point lies on the x-axis, so y = 0

Then this point is represented by C = (3, 0)

The graph with the 3 points are:

Assignment due soon! Need help

Answers

Answer: 30°

Step by step explanation:
1) Supplementary angles add up to 180°
2) (2x+10)+(5x-40)=180
3) solve for x
4) x=30

the first person to solve tgis will receive brainliest. 2x-3=8​

Answers

[tex]\longrightarrow{\green{x\:=5.5}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]2x - 3 = 8 \\ \\⇝2x = 8 + 3 \\ \\⇝2x = 11 \\ \\⇝x = \frac{11}{2} \\ \\⇝x = 5.5[/tex]

To verify:-

[tex]2x - 3 = 8 \\ \\ ➪ \: 2 \times 5.5 - 3 = 8 \\ \\➪ \: 11 - 3 = 8 \\ \\➪ \: 8 = 8 \\ \\ ➪ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

find the time in which a train of length 132 M will cross and electric post if the speed of the train be to 6.4 km /hour​

Answers

Answer:

It will take the train 1.2375 minutes to pass the tunnel

Step-by-step explanation:

Mathematically, we know that ;

time = distance/ speed

The distance here is the length of the train which is 132 m ; we can convert this to km by dividing by 1000

We have this as 132/1000 = 0.132 km

So, we have the time as;

0.132 km/6.4 km/hr = 0.020625 hr

Mathematically, we know that 60 minutes make an hour;

so we have

0.020625 * 60 = 1.2375 minutes

the angle of elevation from point A to the top of the press box is 49 digree. if point A is 400ft from the base of press box, how high is the press box?

Answers

Answer:

Press box is 460.15 feet high.

Step-by-step explanation:

From the picture attached,

Point A is 400 feet away from the press box.

Angle of elevation of point C is 49°.

By applying tangent rule in the given right triangle,

tan(49°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(49°) = [tex]\frac{BC}{AB}[/tex]

BC = ABtan(49°)

BC = 400[tan(49°)]

BC = 460.15 ft

Therefore, press box is 460.15 feet high.

Players on a volleyball team wear jerseys numbered 1 through 9. In how many different ways could you arrange 5 of the players?
a
15,120
b
120
c
362,880
d
24

Answers

Answer:

Total number of arrangements for 5 players = 15,120 arrangements

Step-by-step explanation:

Given:

Number given from 1 to 9

So,

Total number for jerseys = 9

Find:

Total number of arrangements for 5 players

Computation:

Total number of arrangements for 5 players = 9! / [9! - 5!]

Total number of arrangements for 5 players = 9 x 8 x 7 x 6 x 5

Total number of arrangements for 5 players = 15,120 arrangements

Given that
a
= 7 cm and
b
= 8 cm, work out the area of the triangle.

Answers

Answer:

28

Step-by-step explanation:

1/2 x base x height = Area

a = base

b = height

1/2 x 7 x 8 = 28

Answer:

28

Step-by-step explanation:

1/2x 7 x 8

answer is 28

Bye

:-)

The combination locks on the lockers at Hillside School have numbers from 0 through 39 (inclusive). A locker combination consists of three different numbers, where the order matters. Because of the way the locks are manufactured, all three numbers are even or all three numbers are odd. How many combinations are possible

Answers

Answer:

13680

Step-by-step explanation:

Since we have number from 0 to 39 inclusive, there are 40 number all together.

Now there are 20 odd numbers and 20 even numbers since half of the the numbers are odd and half even.

Now, since we require 3 numbers for our locker combination which are either all even or all odd, the number of ways we can arrange 3 numbers from 20 when the order matters is ²⁰P₃ = 6480 ways for either odd or even numbers. So, for both odd and even numbers, we have the sum of even and odd number of ways ²⁰P₃ + ²⁰P₃ = 2 × ²⁰P₃ = 2 × 6480 = 13680. So, we have 13680 combinations of locks.

Using the information given on the
diagram, which congruence postulate
or theorem can be used to prove
PSR = RQP?

Answers

Step-by-step explanation:

ps||pr are parallel

pQR=Rsp

A map has a scale of 2 inches : 25 miles. Chandra uses the map to find the distance from the zoo to her house. The distance on the map is 5 inches. How many miles away is the zoo from Chandra’s house?

Answers

Step-by-step explanation:

Turn the ratio into a fraction

2in /25 mi

You want to have miles so you can flip the fraction and mutiply to cancel out the inches

(25mi / 2in) x 5in = (25 mi x 5in) / 2in

The growth rate of some species of bamboo is 0.0000237 miles per hour. write this in scientific notation

Answers

Answer:

2.37 x 10 ^ -5

Step-by-step explanation:

What is the total surface area of the square pyramid? ​

Answers

Answer:

D

Step-by-step explanation:

[tex]A_1 = a^2 = 14^2 = 196[/tex]

[tex]A_2 = 4(\frac{b * h}{2}) = 4(\frac{14 * 12}{2}) = 4(\frac{168}{2}) = 4 * 84 = 336[/tex]

[tex]SA = A_1 + A_2 = 196 + 336 = 532\ cm^2[/tex]

The polynomial x3 + 8 is equal to

Answers

Answer:

The polynomial x3 + 8 is equal to (x + 2)(x2 – 2x + 4)

Step-by-step explain

Which is equal to –214°? Negative StartFraction 107 pi Over 180 EndFraction radians Negative StartFraction 107 pi Over 90 EndFraction radians Negative StartFraction 107 pi Over 50 EndFraction radians Negative StartFraction 107 pi Over 45 EndFractionradians

Answers

Answer: 1. equal to - having the requisite qualities for; "equal to the task"; "the work isn't up to the standard I require" adequate to, up to, capable.

Step-by-step explanation:Glad Too Help :))

Answer:

B

Step-by-step explanation:

(Four-fifths + three-fifths) + 3.5 times 5

Answers

Answer:

18.9

Step-by-step explanation:

First, lets solve for the fractions. You can divide the fractions from the top, to their bottom (4 divided by 5, 3 divided by 5), in this case, you get 1.4. Now you have to rewrite the problem: 1.4+3.5x5. You solve it, and get 18.9.

Answer:

18.9

Hope that this helps!

A telephone technician charges $45.00
per hour plus a $50.00 service charge.
Your father's firm hires him to hook up
his company's phone system.
Here is the cost function used to
represent this situation in terms of the
number of hours worked:
c(h) = 45h + 50
Find the total charges if it takes the telephone 4.5 hours to complete the task

Answers

252.5 is the answer to this question

If c=8, what is the value of 4c+(4-3)

Answers

The answer is 33

Explanation
4c+(4-3)
C=8
Substitution
4x8+4-3
Calculate
4x8+4-3
32+4-3
Which equal 33 that’s how I got the answer

Answer:

[tex]33[/tex]

Step-by-step explanation:

[tex]c = 8 [/tex]

Substitute 8 in the equation where c is.

[tex]4(8) + 4 - 3 \\ 32 + 1 \\ = 33[/tex]

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

What is the slope of the line? 4x-1=3y+54x−1=3y+54, x, minus, 1, equals, 3, y, plus, 5 Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac23 3 2 ​ start fraction, 2, divided by, 3, end fraction (Choice B) B \dfrac34 4 3 ​ start fraction, 3, divided by, 4, end fraction (Choice C) C \dfrac32 2 3 ​ start fraction, 3, divided by, 2, end fraction (Choice D) D \dfrac43 3 4 ​

Answers

Answer:

Slope of the line, m = 4/3

Step-by-step explanation:

Given;

4x - 1 = 3y + 5

Make y the subject

4x - 1 = 3y + 5

4x - 3y = 5 + 1

4x - 3y = 6

-3y = 6 - 4x

Divide both sides by -3

y = (6 - 4x) / -3

y = -2 + 4/3x

Slope intercept form is given by

y = mx + b

Where,

m = slope

y = - 2 + 4/3x

m = 4/3

Slope of the line, m = 4/3

Answer:

Above answer is INCORRECT.

The CORRECT answer is 2/3

Step-by-step explanation:

Consider the following sequence -3; 2; 7; 12 Find an expression for the term Which term of the sequence with equal 77"}​

Answers

Answer: n77 into below

Step-by-step explanation:

N77 value = starting point + (77-1) x (5)

= -3 + (5)x76

U can do the calcs from here yeah?

Simplify this expression.
[tex]2\sqrt5(13+\sqrt2)[/tex]

Answers

Step-by-step explanation:

everything can be found in the picture

Answer:

[tex]\small{\boxed{\tt{2 \sqrt{5} (13 + \sqrt{2} = 26 \sqrt{5} + 2 \sqrt{10} = 64.3}}}[/tex]

Step-by-step explanation:

Given : Expression

[tex]2 \sqrt{5} (13 + \sqrt{2} )[/tex]

To find : Simplify the expression

Solution :

Step 1 - Write the expression

[tex]2 \sqrt{5} (13 + \sqrt{2} )[/tex]

Step 2 - Apply distributive property,

[tex]a(b + c) = a × b + a \times c[/tex]

[tex] = 2 \sqrt{5} \times 13 + 2 \sqrt{5 } \times \sqrt{2} [/tex]

Step 3 - Apply square root property,

[tex] \sqrt{x} \times \sqrt{y} = \sqrt{xy} [/tex]

[tex] = 26 \sqrt{5} + 2 \sqrt{10} [/tex]

or to simplify more substitute the value of [tex] \sqrt{5} = 2.23[/tex] and [tex] \sqrt{10} = 3.16[/tex]

Simplification-

[tex] = 26(2.23) + 2(3.16)[/tex]

[tex]= 57.98 + 6.32[/tex]

[tex]= 64.3[/tex]

what is the measure of angle dcu

Answers

I need more info

Step-by-step explanation:

I can help If i had more info

Which best describes angle 3 and angle 7?

Answers

Answer:

A) corresponding

Step-by-step explanation:

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