—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 volume of the fish tank if the base is 4 feet, the width is 2 feet, and
the height is 3 feet? Be sure to label your units.

Answers

Answer:

  24 ft³

Step-by-step explanation:

The volume formula for a rectangular prism is ...

  V = LWH

  V = (4 ft)(2 ft)(3 ft) = 24 ft³

The volume of the fish tank is 24 cubic feet.

<4 and 45 are alternate interior
angles. Find the measure of 4

Answers

Answer:

115%

Step-by-step explanation:

5 is completely irrelevant, Vertical angles are congruent.

9. Which of the following fractions is equivalent to 1.68?*
25
17
25
42
A
OB.
42
7
25
4.

Answers

It doesn’t make sense. Non of those are fractions. Sorry! But if they were, your answer is: 42/25

A swing forward 50 degree and back 95 degree. How many degree forward must the swing go to return in starting position

Answers

Answer:

45°.........................

The circle graph shows Lenora's activities
during 10 hours at school.
School Activities
Homeroom 7.5%
Newspaper
7.5%
Gym
10.0%
Academic
Classes
50.0%
Lunch 5.0%
Softball
Practice
20.0%
How many more hours does she spend at
softball practice than in homeroom?

Answers

Answer:

60.0 I think

Answer:

1.25 hours or 1 hour and 15 minutes

Step-by-step explanation:

The difference in time % softball practice than in homeroom:

20% - 7.5% = 12.5%

Convert the difference into hours:

12.5*10/100 = 1.25 hours or 1 hour and 15 minutes

Please help before 7 min

Answers

Answer:

The Value of x = 23.1 unit

Step-by-step explanation:

Given:

Parallel line intersect

Find:

The value of "X"

Computation:

We know that given lines are parallels

So, by using Ratio theorem we can find the value of "x"

Ratio theorem of parallel lines say

AB / BC = AD / DE

So,

14 / 20 = x / 33

x = [14 x 33] / 20

The Value of x = 23.1 unit

Solve the system 8y-5z=23 3y-2z=6

100 POINTS

Answers

Answer:

z = 21 ; y= 16

Step-by-step explanation:

first of all we have to isolate a variable.

In second expression we can obtain:

3y = 2z+6

y = 2/3 z + 2

now we have to substitute this value in the first equation and solve it

8(2/3z+2)-5z = 23

16/3z + 16 -5z = 23

16z +48 - 15z = 69

z = 21

now we have to substitute z in the second equation:

y = 2/3 (21) +2

y = 14+ 2 = 16

y = 16

Mercedes is helmet diving at a location of -20 feet. The breathing tube attached to her helmet reaches an oxygen tank at a location of 12 feet.

Which of the following expressions represents
the length, in feet, of the breathing tube attached
to Mercedes' helmet?

(A) |--20 – 12

(B) |--20 + 12

(C) 20 – 12

(D) -20 + 12

Answers

Answer: B

Step-by-step explanation:

Please help 30 points and brainless

Answers

Answer:

Stats. for a basketball game and the graph could be a bar graph or could be a line graph. And yes the data would look good on a graph.

Step-by-step explanation:

I'm familiar with these types of problems.

This person above me is correct!

Plot the following data points.
1
4
,
3
4
, 1
1
2
, 2 , 2
1
2
, 2
1
2
, 3
1
2

Answers

Answer:

Step-by-step explan4ation:

The data points are plotted on the graph below.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

We will assume the data points as,

Sales of a particular product over time.

Year   Sales

2015     50

2016      100
2017       150

2118       200

2019      250

2020     300

Now,

We can make ordered pairs as,

(2015, 50), (2016, 100), (2017, 150), (2018, 200), (2019, 250), (2020, 300).

The graph of the data point are given below.

Thus,

The data points are plotted on the graph below.

Learn more about coordinates here:

https://brainly.com/question/13118993

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The complete question.

Sales of a particular product over time.

Year   Sales

2015     50

2016      100
2017       150

2118       200

2019      250

2020     300

Plot the following data points.

Can anyone upload the the solutions of
CLASS 7 LESSON NO - 1 INTEGERS EX 1.2 ALL QUESTION - NCERT

Answers

Answer:

https://www.learncbse.in/ncert-solutions-for-class-7-maths-integers-exercise-1-2/

i think thats the one

Emily bought 4 cheeseburgers for $6 each and then spent $18 on a new shirt. She paid for the cheeseburgers and shirt with her debit card. The change to Emily's bank account can be found using the expression below:

4(-6) + (-18)

Which of the integers below shows the change in balance to Emily's bank account?
28
-42
-64
6

Answers

-42 would be the answer
-42 would be the answer to your question

ZA and ZB are vertical angles. If mZA = (3.C – 9)° and m B = (x+3)°, then find the value of x.​

Answers

Answer:

x = 6

Step-by-step explanation:

Vertical angles in a geometry are equal. Hence m<A = m<B

Given that

m<A =  3x - 9

m<B - x+3

Then 3x - 9 = x+3

3x - x = 3 + 9

2x = 12

Divide both sides by 2

2x/12 = 12/2

x = 6

Hence the value of x is 6

Find the measurement indicated in each parallelogram.
1)
с
40°
D
E

Answers

Answer:

D=40

C=140

E=140

Step-by-step explanation:

opposite angles are congruent in parallelograms, so D is equal to 40. Also, the interior angles of any quadrilateral always equal 360, and because there are only 2 angles left that we don't know what they equal, if we add 40 to 40, which equals 80, and then subtract 80 from 360, we get 280, which we then divide by 2, to get 140 for C and E.

24 fl.ounces = how many cups?

Answers

Answer:

3 cups

Step-by-step explanation:

Answer:

Its 3

Step-by-step explanation:

you divide the volume value by 8

24 = 3

Help me with this problem please

Answers

Answer:

[tex](a)\ A_1 = s^2[/tex]

[tex](b)\ A_2 = 4s^2[/tex]

(c) 4 small squares

Step-by-step explanation:

Given

Small Square:

[tex]Dimension: s[/tex]

Large Square:

[tex]Dimension: 2s[/tex] i.e. twice as long as the small square

Solving (a): The area of the small square.

This is calculated as

[tex]Area = Length^2[/tex]

So, we have:

[tex]A_1 = s^2[/tex]

Solving (b): The area of the large square.

This is calculated as

[tex]Area = Length^2[/tex]

So, we have:

[tex]A_2 = (2s)^2[/tex]

[tex]A_2 = 4s^2[/tex]

Solving (c): Number of small square to cover the large square

To do this, we simply divide their areas.

Let n represents the required number; n is calculated as:

[tex]n = \frac{A_2}{A_1}[/tex]

[tex]n = \frac{4s^2}{s^2}[/tex]

[tex]n = 4[/tex]

Hence, 4 small squares is required to cover the large square

A cost center’s performance report does not include

Answers

Answer:

‎‎‎‎‎

Step-by-step explanation:

‎‎‎

star time 8:00 a.m elapsed time 5 hours, 15 minutos end time is​

Answers

Answer:

1:15 P.M

Step-by-step explanation:

After 5 hours if will be 1:00 P.M and 25 minutes after it turns 1:00 P.M will be 1:15 P.M

Answer:

1 : 15p.m

Step-by-step explanation:

This morning, Manny took a history test. There were 50 multiple-choice problems on the test
and Manny answered 10% of them correctly. How many problems did Manny get right?

Answers

Answer:

He got 5 right

Step-by-step explanation:

10% = 0.1

50(0.1) = 5

Answer:

5 questions were answered correctly

Step-by-step explanation:

10% of 50 is 5. So that means 5 questions were answered correctly.

y=((3x+1)³)-², find dy/dx​

Answers

Firstly simplify then differentiate

Can I get help with what y equals?

Answers

The answer would be y =-3.... BTW I HAVE DONE THIS ANSWER BEFORE!!!

The measure of arc AB is °.

The measure of angle AOB is °.

The measure of angle BDA is °.

Answers

Answer:

50,50,25

Step-by-step explanation:

Answer:

50,50.25

Step-by-step explanation:

If you know this you’re very smart!

Answers

Answer:

Its B and its not that hard because im doing that rn lol but do you need me to explain?

Step-by-step explanation:

State the null hypothesis H0 and the alternative hypothesis Ha in each case. Be sure to identify the parameters that you use to state the hypotheses.
(a) A university gives credit in first-year calculus to students who pass a placement test. The mathematics department wants to know if students who get credit in this way differ in their success with second-year calculus. Scores in second-year calculus are scaled so the average each year is equivalent to a 75. This year 17students who took second-year calculus passed the placement test.
H0:μ>75;Ha:μ=75
H0:μ<75;Ha:μ=75
H0:μ=17;Ha:μ>17
H0:μ=17;Ha:μ≠17
(b) Experiments on learning in animals sometimes measure how long it takes a mouse to find its way through a maze. The mean time is 24 seconds for one particular maze. A researcher thinks that playing rap music will cause the mice to complete the maze slower. She measures how long each of 17 mice takes with the rap music as a stimulus.
H0:μ=24sec;Ha:μ>24sec
H0:μ=24sec;Ha:μ≠24sec
H0:μ>17sec;Ha:μ=17sec
H0:μ=17sec;Ha:μ<17sec
H0:μ=24sec;Ha:μ<24sec
(c) The average square footage of one-bedroom apartments in a new student-housing development is advertised to be 850 square feet. A student group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion.
H0:μ=850ft2;Ha:μμ850ft2
H0:μ>850ft2;Ha:μ=850ft2
H0:μ=850ft2;Ha:μ>850ft2
H0:μ=850ft2;Ha:μ<850ft2
H0:μ<850ft2;Ha:μ=850ft2

Answers

Answer: (A)

[tex]H_0:\mu=75\\H_a:\mu\neq75[/tex]

(B)

[tex]H_0:\mu=24\ sec\\H_a:\mu>24\ sec[/tex]

(C)

[tex]H_0:\mu=850\ ft^2\\H_a:\mu<850 \ ft^2[/tex]

Step-by-step explanation:

Null hypothesis [tex](H_0)[/tex]: It is a statement showing population parameters as per the objective of the study. It generally takes "≤,≥,=" signs.  Alternative hypothesis [tex](H_a)[/tex]: It is also a statement describing population parameters as per the objective of the study. It generally takes ">, <, ≠" signs.

(A)  Objective: Scores in second-year calculus are scaled so the average each year is equivalent to a 75 or not.

[tex]H_0:\mu=75\\H_a:\mu\neq75[/tex]

(B) Objective: The mean time is 24 seconds or more for one particular maze.

[tex]H_0:\mu=24\ sec\\H_a:\mu>24\ sec[/tex]

(C) Objective: The average square footage of one-bedroom apartments in a new student-housing development is advertised to be 850 square feet or smaller.

[tex]H_0:\mu=850\ ft^2\\H_a:\mu<850 \ ft^2[/tex]

One hundred sixty people who suffer from painful diabetic neuropathy have volunteered to participate in a study. Eighty are selected at random and are given the drug gabapentin, which, although originally intended to prevent epileptic seizures, has properties that may make it useful to alleviate neuropathy. The remaining participants are given a placebo. A neurologist evaluates the symptoms of all volunteers after two months to determine if there has been substantial improvement in the severity of the symptoms.

Does the use of volunteers make this study invalid?

a. yes, because of volunteer bias no, because blocking was used.
b. yes, because there is no way to determine the effect of gabapentin on people that do not have symptoms of neuropathy.
c. no, because the subjects are randomly assigned to treatment groups.

Answers

Answer:

C. No, because the subjects are randomly assigned to treatment groups

Step-by-step explanation:

We are told that 80 people are selected at random and are given the drug gabapentin.

Also that the remaining people are given the placebo.

This means that they are randomly assigned treatment groups and so it is a completely randomized block design and as such the use of volunteers doesn't make it invalid.

7 2/3 + 8 1/2 + 4 1/6 =

Answers

Answer:

20 1/3 or 61/3

Here you go, have a nice day!!

There are manny ways to answer this q but just to add all up is there
Hope ya have a wonderful day ^v^

Need some help with this one

Answers

Answer:

17.5 ft

Step-by-step explanation:

Given

[tex]Ladder = 18ft[/tex]

[tex]\theta = 76[/tex]

Required

The height which the ladder reaches on the wall

The question is illustrated with the attached image (solve for x).

Using sine formula, we have:

[tex]\sin(76) = \frac{x}{18}[/tex] --- i.e. sin = opposite/hypotenuse

Make x the subject

[tex]x = 18 * \sin(76)[/tex]

[tex]x = 18 * 0.9703[/tex]

[tex]x = 17.4654[/tex]

Approximate

[tex]x = 17.5[/tex]

Figure A ~ Figure B
Figure A
R = 4 ft
Figure B
R = 2 ft
V = 352 cu ft
Find the volume of Figure B.
Help please!!

Answers

The volume of figure B that is similar to figure A is: 44 cu. ft.

How to Find the Volume of Similar Figures?

If the volumes of two figures are A and B respectively, and their radius is a and b respectively, then, Volume of A/volume of B = a³/b³.

Given that figures A and B are similar, we would have the following ratio:

352/volume of B = 4³/2³

352/volume of B = 64/8

352/volume of B = 8

Volume of B = 352/8

Volume of B = 44 cu. ft.

Learn more about the volume of similar figures on:

https://brainly.com/question/4315286

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What type of polynomial is 14x2 + 3x – 15?

Answers

Answer:

Step-by-step explanation:

There are three terms. So, 14x² + 3x -15 is a trinomial

Trinomial becuse it’s the way u add and you can also look it up on the internet

Please help i need to get these right or i fail WILL GIVE BRAINLEST!!!

Answers

Answer:

Give brainly to other guy

Step-by-step explanation:he deserves it

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