—statistics and probability, rules of probability
Question:
Mary has 10 blouses hanging in her closet— 5 are blue, 2 are black, and the rest are red. if she hangs the blouse in a random order, what is the probability that the first and last blouse are both red?

A. 0.011
B. 0.067
C. 0.042
D. 0.001

Answers

Answer 1

Answer:

B. 0.067

Step-by-step explanation:

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

Number of arrangements:

The number of possible arrangements of n elements is given by:

[tex]A_{n} = n![/tex]

Desired outcomes

First red(10 - (5+2) = 3 possible)

Last red(2 possible).

Middle 8 arranged in any way.

So

[tex]D = 3*A_{8}*2 = 3*8!*2 = 241920[/tex]

Total outcomes:

Arrangements of 10 elements. So

[tex]T = A_{10} = 10! = 3628800[/tex]

What is the probability that the first and last blouse are both red?

[tex]p = \frac{D}{T} = \frac{241920}{3628800} = 0.067[/tex]

The correct answer is given by option B.


Related Questions

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

Answers

Answer:

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

Step-by-step explanation:

The Reeds are moving across the country. Mr. Reed leaves 4.5 hours before Mrs. Reed. If he averages 40mph and she averages 60mph, how many hours will it take Mrs. Reed to catch up to Mr. Reed?

Answers

Answer:

Mr. Reed DATA:

rate = 40 mph ; time = x hrs ; distance = 40x miles

-----

Mrs. Reed DATA:

rate = 60 mph ; time = x - 3.5 hrs ; distance = 60x - 210 miles

Equation:

40x = 60x -210

-20x = -210

x = 10.5 hrs

x-3.5 = 7 hrs (Mr. Reed's time)

Step-by-step explanation:

can you help me please? https://brainly.com/question/22819277

Geometry Question, please help! WORTH 20 POINTS

Answers

Answer:

zy = 65

Step-by-step explanation:

a full circle is 360*

half of that is 180*

180 - 115 = 65

I NEED HELP PLZ!!!!!!!

Answers

Answer: what's up?

Step-by-step explanation:

Which of the following points
would be plotted in Quadrant
IV on a coordinate grid?
A. (2,3)
B. (-4,-9)
C. (-9, 3)
D. (5, -6)
WIB

Answers

Answer:

D. (5, -6)

Step-by-step explanation:

Thirty two students try out for the basketball team. There are 5 players on the court during a game and the coach wants three times as many players on the team. How many students will NOT be a part of the basketball team?

Answers

Answer:

17

Step-by-step explanation:

S) A $4.00 sales tax is charged for a $50.00 purchase. At this rate, what is the sales tax for a $1200.00
purchase?

Please help me :) I’m down bad

Answers

Answer:

$96

Step-by-step explanation:

4/50=.08 which is sales tax rate

1200X.08=$96 sales tax

There are 16 kilometers in 10 miles how many kilometers are in 5 miles?

Answers

Answer:

8 kilometers

Step-by-step explanation:

Please help this is due tonight

Answers

Answer
149
Explanation
It adds up to 360 so add all the numbers together and take it away from 360

Suppose that 5% of the time Todd attends a concert twice a month, 40% of the time he attends a concert once a month, and 55% of the time he doesn't attend a concert at all in a given month. What is the expected value for the number of times Todd attends a concert during a month?

Answers

it’s the right answer anyways hope u pass all your classes thanks bye now purrr 1245/4849

Eli's parents open a savings account for when he was born in the account earns compound interest compounded annually how much money will be in Eli's account at age 21

Answers

Answer:

Is C.$24 I use the I=Prt

martin has $.50. Sara has 10 times more than Martin. Jon has one tenth as much as Martin. Does Sara has more than Martin? Does Jon have more money than Martin?

Answers

Answer:

Sara has more than Martin

no Jon has less money than martin

Step-by-step explanation:

martin=0.50

Sara: 0.50×10 = 5

jon: 0.50(1/10)= 0.05

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

Answers

Answer:

Tn = 4(-6)^n-1

Step-by-step explanation:

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

The sequence is a geometric sequence

Tn = ar^n-1

a is the first term

a = 4

r = -24/4 =144/-24

r = -6

Substitute

Tn = 4(-6)^n-1

Weird math question.

Answers

Answer:

It is 4/11

Step-by-step explanation:

Let x = 0.363636363636

Now as there are two digits repeating immediately after decimal point, we multiply above by 100 and get

100x = 36.363636363636

Now subtracting first equation from second we get

99x = 36

and hence

x = 36/ 99

= (9 × 4) / (9 × 11)

which then equals

= 4/11

Answer:

It is 4/11

Step-by-step explanation:


Write each equation in slope-intercept form.
12y =(8x - 48)/3

Answers

Answer:

y=(2/9)x-(4/3)

Step-by-step explanation:

12y=(8x-48)/3

multiply by 3 on both sides

36y=8x-48

divide by 36 on both sides

y=(8/36)x-(48/36)

simplify fractions

y=(2/9)x-(4/3)

PLEASE ANSWER ILL GIVE YOU BRAINLIEST

Answers

Answer:

i think its 28.27

Step-by-step explanation:

Step-by-step explanation:

[tex]v \: = \: pi \: \times \: r {}^{2} \: \times h[/tex]

Volume = 3.14×2.25×4 = 28.26 yd³

The circumference of a circle is 18 pi inches what is the radius in inches of the circle

Answers

The radius would be 9 using the formula C=2r

find the missing side of each triangle

Answers

Answer and Step-by-step explanation:

To solve this, we have to find x.

To find x, we have to use the Pythagorean theorem.

The Pythagorean theorem is:

[tex]A^2 + B^2 = C^2[/tex]

Where A is a side, B is a side, and C is the hypotenuse.

Plug in the values accordingly.

[tex]6^2 + 8^2 = x^2\\\\\\\\36 + 64 = x^2\\\\\\\\\\100 = x^2\\\\\\\\10 = x[/tex]

The answer is 10 = x.

#teamtrees #PAW (Plant And Water)

the answer is 10 i believe

What is 1/4 divided by 2?

Answers

Step-by-step explanation:

1/4 ÷ 2 = 1/8 in fraction form.

Answer:

Reds varied directly as yellows and inversely as greens squared. If 400 reds and 40 yellows went with 10 greens, how many reds went with 20 yellows and 5 greens?

Answers

https://www.lcps.org/cms/lib/VA01000195/Centricity/Domain/3686/Unit%208%20Day%201%20extra%20practice%20key%20alg%202%201617.pdf its there

A piece of rope that is 26feet long is cut into two pieces. One piece is used to form a circle and the other used to form a square. Write a function g representing the area of the square as a function of the radius of the circle r.

Answers

9514 1404 393

Answer:

  g(r) = (13 -πr)²/4

Step-by-step explanation:

The circumference of the circle is given by ...

  C = 2πr

The amount of rope remaining after the circle is formed will be ...

  26 -2πr

When this is used to form a square, each side of the square will be 1/4 of this length, so is ...

  s = (26 -2πr)/4 = (13 -πr)/2

The area of the square is the square of the side lengths, so is ...

  g(r) = ((13 -πr)/2)²

  g(r) = (13 -πr)²/4 . . . . area of the square as a function of circle radius

2. Jacquelyn has 50 vocabulary words to study for an exam. She creates a flashcard for each word to study. Day 1 she studies 10 of the flash cards. Day 2 she studies the same 10 cards from the first day along with 5 new cards, for a total of 15 cards. Day 3 she studies the 15 cards she studied on the second day along with 5 new cards, for a total of 20 cards. Jacquelyn continues to increase the number of cards she studies each day by 5.
(a) Write a recursive rule to represent the number of cards Jacquelyn studies on day n.
(b) Write an explicit rule to represent the number of cards Jacquelyn studies on day n.
(c) On which day will Jacquelyn first study all 50 vocabulary cards?

Answers

Answer:

Sequence:

10, 15, 20, ...

(a) Recursive formula:

a₁ = 10, aₙ = aₙ₋₁ + 5

(b) Explicit rule:

aₙ = a₁ + (n - 1)*5 aₙ = 10 + 5n - 5 = 5n + 5aₙ = 5n + 5

(c) aₙ = 50, n = ?

50 = 5n + 55n = 45n = 9

Day 9

help meeeeeeeeeeeeeeeee


Which is larger, 8 tons or 14,000 pounds?

Answers

Answer:

tons          pounds

7           14,000

8            16,000

so 8 tons

Step-by-step explanation:

Answer:

8 tons is larger than 14,000 pounds.

Step-by-step explanation:

Here is my explanation:

One ton (same thing as a short ton) is equivalent to 2,000 pounds.

So 8 tons is basically just 2,000 * 8 which is equal to 16,000.

Hope this helps!

what is the slope of any line parallel to the line 9x+4y=7?​

Answers

Answer:

-9/4

Step-by-step explanation:

First you need to change the equation to slope-intercept form (y=mx+b). To start, you need to get y alone, so subtract 9x on both sides to give you 4y=-9x+7. Next, divide 4 from both sides giving you y=-9/4x +7/4. The slope is the coefficient of x.

-9/4!!!!!!!!!!!!!!!!

Which function is linear?
es --
A)
f(x) = 13x] + 4
х
B)
f(x) =
+ 4
3x
f(x) = 3x - 4
D)
f(x) = 13x1 - 4


The answer is C... I just did it and it said it was C!!

Answers

Answer:

answer is b bro :)))))))))))))))

hi i like cheesi like cheese e i like chi like cheese eese i like cheese i like cheesi liki like cheese e cheei like chi lii like cheese ke chei like chei like cheese ese ese eese se e

Answers

Answer:

cheese is good but have you tried your mom

Step-by-step explanation:

Two scuba divers are 20 m apart below the surface of the water. They both spot a shark that is below them. The angle from diver 1 to the shark is 47 degrees, and the angle from diver 2 to the shark is 40 degrees. How far is diver 2 from the shark?

Answers

Answer: Approximately 14.647147438893 meters

Round this value however you need.

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

Explanation:

Refer to the diagram below. The blue horizontal line is the water surface, and just below that are points A and B to represent diver 1 and diver 2 respectively. Point C is the shark's location. The diagram is not to scale. The assumption is that the two divers are at the same depth in the water.

Angle A (also known as angle BAC or CAB) is the angle formed at diver 1's location, which is the 47 degree angle mentioned earlier. Angle B is 40 degrees. This must mean angle C is 180-A-B = 180-47-40 = 93 degrees. Note how A+B+C = 47+40+93 = 180.

The goal is to find the distance from diver 2 to the shark. So we want the distance from point B to point C. In other words, we want the length of segment BC. Since this segment is opposite angle A, we'll refer to this side as lowercase 'a'. The lowercase letters represent side lengths and they are conventionally opposite the uppercase letter angles. So side b is opposite angle B, and side c is opposite angle C.

Here's what we have so far:

side a = unknown = what we want to solve forangle A = 47 degreesside c = 20 meters = distance between the two diversangle C = 93 degrees

We can apply the law of sines to find side 'a'.

a/sin(A) = c/sin(C)

a/sin(47) = 20/sin(93)

a = sin(47)*( 20/sin(93) )

a = 14.647147438893

Make sure your calculator is in degree mode.

The distance from diver 2 to the shark is approximately 14.647147438893 meters. Round this value however you need.

How many triangles are there help please

Answers

35 And just so you know your teacher is a Satanist xd

Answer:

35

Step-by-step explanation:

Make sure to count the right triangles the equilateral triangles as well.

What is 90 divided by 10

Answers

Answer:

9

Step-by-step explanation:

Solve the expression. 8 + (37-19)

Answers

Answer:

26

Step-by-step explanation:

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