P(A and B)=P(A)•P(B) is used when two events are used when two events are

Answers

Answer 1

Answer:

Independent.

Step-by-step explanation:

Independent events:

Two events, A and B, are said to be independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Thus, P(A and B)=P(A)•P(B) is used when two events are independent.


Related Questions

If there are 82 students and they read 1000 books what is the average number of books the students read round it to the nearest whole number

Answers

Answer:

12 books read per student

Step-by-step explanation:

1000 divided by 82 is close to 12

Answer:

12 books

Step-by-step explanation:

Since there are 82 students who in total read 1000 books, we need to find how many books each student read. To do that; Divide the number of books read by the number of students who read those books. Then round your answer to the nearest whole number as an estimate. In otherwords, in "tenths place".

Step 1: Divide 1000 by 82

[tex]1000\div 82\\\\= \frac{1000}{82} \\\\= 12.1951219512[/tex]

Now to round up. To round a number to the nearest whole number, you have to look at the first digit after the decimal point. If this digit is less than 5 (1, 2, 3, 4) we don't have to do anything, but if the digit is 5 or greater (5, 6, 7, 8, 9) we must round up. Since the digit after our result is less than 5, we do nothing.

Step 2: Round [tex]12.1951219512[/tex] in the nearest whole number

[tex]12.1951219512 \\= 12[/tex]

Therefore, the average number of books the student read rounded to the nearest whole number is 12 books.

Kendra started making jewelry to sell. She spent $12 for supplies to make four bracelets. She will sell the
bracelets for $5 each. If each bracelet takes two hours to make, how much money will Kendra earn per
hour?

Answers

Answer:

$1

Step-by-step explanation:

4 x 5 = 20

20 - 12 = 8

4 x 2 = 8

8/8=1

The cost of 6 movie tickets is $57.00. What is the cost of 8 movie tickets?
$59.00
$63.00
O $65.00
O $76.00

Answers

Answer:

Step-by-step explanation:

57 divided by 6 = 7.5

9.5  x  8 = $76

Answer:

D.$76.00

Step-by-step explanation:

Please help me. Max and bella are two thirsty dogs after playing fetch they drank water . Rebbi drank 1/3 of a gallon of water babe drank 2/3 of the same gallon of water. How much of the gallon did the dogs drink?

Answers

Answer:

the whole gallon

1/3 + 2/3 = 3/3

Helppp find the value of y lamooooo

Answers

Answer:

4x-13 = 2x+9 ( i think it was exterior angle property i dont remember but its true)

so, solving that eq,

4x-2x = 9+13 (grouping variables and constants)

2x=22

x=11

also, 2x+9 and 3y+2 are on a transversal, and are supplementary angles (add up to 180°)

so, solving for x in 2x+9,

2(11)+9 = 22+9 = 31°

now, 31 + 3y+2 =  180

3y = 180 - 33

y = 147/3 = 49

(hoping you understood the calculations :)

Hello can someone answer this question please

Answers

1/4 = 0.25 is the largest value..

It is right answer....

14. Which makes the number sentence true?
12 - 3= 7+_

Answers

The answer is 2 in order to make the sentence true

9:25 p.m. in 24 hour time is written a

Answers

Answer:

21:25

Step-by-step explanation:

9:25 p.m. would be written as 21:25 in 24 hour time, since you simply add 12 to the hours.

A photograph measures 3 inches tall and 5 inches wide. Becky wants a larger print of the photograph that is 25 inches wide. How many inches tall should the larger print be if it is to be in proportion to the smaller photograph?​

Answers

Answer:

15 inches tall

Step-by-step explanation:

every 3 inches increased, the width increases by 5.

1) Berdine's Chicken Factory has several stores in the Hilton Head, South Carolina, area. When interviewing applicants for server positions, the owner would like to include information on the amount of tip a server can expect to earn per check (or bill). A study of 500 recent checks indicated the server earned the following amounts in tips per 8-hour shift. Amount of Tip ($) Number 0 up to 20 200 20 up to 50 100 50 up to 100 75 100 up to 200 75 200 or more 50 a) What is the probability of a tip of $200 or more? b) What is the probability of a tip of up to $50?

Answers

Answer:

a) 0.1 = 10% probability of a tip of $200 or more.

b) 0.4 = 40% probability of a tip of up to $50.

Step-by-step explanation:

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

Distribution:

Total of 500 checks.

200 with tips in the interval of 0-20.

100 with tips in the interval of 20-50.

75 with tips in the interval of 50-100.

75 with tips in the interval of 100-200.

50 with tips of 200 or more.

a) What is the probability of a tip of $200 or more?

50 out of 500. So

[tex]p = \frac{50}{500} = 0.1[/tex]

0.1 = 10% probability of a tip of $200 or more.

b) What is the probability of a tip of up to $50?

200 out of 500. So

[tex]p = \frac{200}{500} = 0.4[/tex]

0.4 = 40% probability of a tip of up to $50.

I need to know the answer for this so please help

Answers

Answer:

(2,-1) _______________

11. A grocery store sells almonds for $2.30 per pound, tax included. A shopper buys 1.8 pounds of almonds from the store. She uses a coupon to save 10% off the total cost of the almonds. Rounded to the nearest cent, how much does the shopper pay for the almonds? O A $0.41 O B.$3.73 O c.$3.91 O D.$4.55​

Answers

Answer A) 0.41
Explanation: I took the test

Rewrite the expression in the form

Answers

In Exponential form 2(X x 4x^-5/2)^1/2

You start at (2, -1). You move down 3 units and left 3 units. Where do you end? graph

Answers

Answer:

Hi there, mizuki here to answer

The correct answer should be:(-1, -4)

I also put a image of the graph, anyways hope this helped(red dot is the final area, blue dot is the starting point[2,-1])

Step-by-step explanation:

1 - 4 is the answer

HELP!!!


What is the Area!

Answers

Answer:

0.375

Step-by-step explanation:

1*3/4*1/2=0.375

Which matrix equation represents the system of equations?
[4x - 2y = -7
3y = 5

Answers

The fourth one is the correct answer.

0 must come before 3 in the matrix, so that x will be multiplied with 0.

Therefore, the matrix equation represents the system of equations

4x - 2y = -7

0x + 3y = 5 is given by

[tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-7\\5\end{array}\right][/tex].

How to write a system of linear equations in matrix form?

Three easy steps must be taken in order to express any system of linear equations in matrix form:

1. First, create a single matrix with all the coefficients. An acronym for this is a coefficient matrix.

2. Multiply this matrix by the system setup variables in a different matrix. The variable matrix is another name for this.

3. In another matrix, place the solutions on the other side of the equal sign. The answer matrix is another name for this.

How to solve this problem?

Given system of linear equations:

4x - 2y = -7

0x + 3y = 5

The coefficient matrix is [tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right][/tex].

The variable matrix is [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex].

[ Since [tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}4x-2y\\0x+3y\end{array}\right][/tex] ]

The answer matrix is [tex]\left[\begin{array}{ccc}-7\\5\end{array}\right][/tex].

Therefore, the matrix equation represents the system of equations

4x - 2y = -7

0x + 3y = 5 is given by

[tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-7\\5\end{array}\right][/tex]. So, the last option is correct.

Learn more about matrix here -

https://brainly.com/question/19683437

#SPJ2

A shopkeeper sold 8 toys on the first day. The number tripled every
subsequent day. Find the total number of toys sold in six days.

Answers

Answer:

2912

Step-by-step explanation:

the answer is 2912 toys.....

Quintin read a report claiming that 4% of police officers in the US have had a formal complaint filed
against them. Quintin suspects that this figure is higher in his state. He obtains a random sample of records
for 500 officers from the approximately 20,000 officers in his state. He wants to use these data to test
H : p=0.04 versus H:p > 0.04, where p is the proportion of officers in Quintin's state who have
had a formal complaint filed against them.
Which conditions for performing this type of significance test have been met?

Answers

Answer:

A, B, C

Step-by-step explanation:

Got it right on khan academy

The living room in a new house has the dimensions shown. What is the volume of the room?

Answers

Answer:

v = 220 yd²

Step-by-step explanation:

Small portion

v = 5 * 4 * 3

v = 60 yd²

Large portion

v = 9 * 6 * 3

v = 162 yd²

Total

v = 60 + 162

v = 220 yd²

Do you think credit card banks want customers to pay off their balances?

Answers

Answer:

No.

Step-by-step explanation:

No of course not . Credit cards make more money when you pay the bare minimum each month because the remaining balance gets carried over and then they charge interest in it again .

what is the measure of

Answers

Answer:

88 degrees

Step-by-step explanation:

Since x and z have the same angel their degrees is the same

The answer is: 88 degrees

The author received a total of $195,000 for the book sales. How many hardcover books were sold? Type in numbers only.

Answers

Answer:

Total 390 hardcover books were sold

Step-by-step explanation:

Complete question

The author received a total of $195,000 for the book sales. How many hardcover books were sold if the cost of one hardcover book is  $500. Type in numbers only.

Solution

Given-

Total value of sale of hard cover = $195,000

Cost of one hardcover book = $500

Number of books sold = Total value of sale of hard cover/Cost of one hardcover book

Number of books sold =   $195,000/$500

Number of books sold = 390

Total 390 hardcover books were sold.

A kite is formed by an equilateral triangle with sides 6 cm and an isosceles triangle with legs 5 cm. Find the area of the kite.

Answers

Answer:

The area of the kite is 27.6 cm²

Step-by-step explanation:

Given;

dimension of the equilateral triangle, = 6 cm

dimension of the isosceles triangle = 5 cm

Please check the image uploaded for a detailed solution.

what is the maximum height (h) of the function h=-16t^2+20t+6
plz plz show ur work

Answers

Answer: hi there is think that I can help you with your problem!

h = -16t^ 2 + 20t + 6     ....the ball will hit the ground when h  = 0

0 = -16t^2  + 20t   + 6      factor

0  = ( -8t  -  2 )  ( 2t  - 3)     set each  factor to 0

-8t  -  2  =  0                                 and                  2t  - 3   = 0

-8t   = 2                                                                 2t   =   3

t  = -2/8  = - 1/4  sec   [reject]                                t  = 3/2 sec  = 1.5 sec

Max ht  will be reached at [ -b / 2a ]    sec    =  -20 / [ 2(-16)]  =  20/32  =  5/8 sec

Step-by-step explanation:  

-16t^2+20t+6 = 0

will give you the times that the ball is on the ground. The negative root accounts for the fact that the ball is 6 feet above ground at t=0.

I get t=3/2 and t=-1/4

-2(2t -3) (4t +1) = 0

2t -3 = 0

2t-3 + 3 = 0 + 3

2t = 3

t = 3/2 second        

I hope that I helped you and have a nice day.

Hi! Kan someone fill in the blanks with either addition, subtraction, multiplication, or division?
I had some trouble finding the answer :/

Answers

+ - x + that would be the full ons

HELPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

2

35

6

Step-by-step explanation:

14/7=2

5*7=35

42/7=6

14/7=2
5*7=35
42/7=6
so you answers in order is 2,35,6

I need the answer HELP HELP HELP HELP

Answers

Answer:

A; TDC Inc., has 40 salespeople

B; Exactly half of the salespeople took fewer than 6 flights last year

F; Exactly half of the salespeople took at least 7 flights last year

The area of the base of a portable speaker, shaped like a hexagonal prism, is 36 square inches. The height of the speaker is 8 inches. (The long side which it sits on in the image below is the height.) Find the volume of the speaker.​

Answers

Answer:

92 dB

Step-by-step explanation:

Fsf

Answer:

[tex]volume = base \: area \times height \\ = 36 \times 8 \\ = 288 \: cubic \: inches[/tex]

What is greater 4.58 or 4.563

Answers

Answer:

4.58 is greater then 4.563

Answer:

4.58

Step-by-step explanation:

think of it like this: 58 hundredths is larger than 56 hundredths

ILL GIVE BRAINLIEST
ILL GIVE BRAINLIEST!

Jeremy has a scone that is in the shape of an equilateral triangle How many different ways can he cut it so that he has two pieces that are mirror
images of each other?

Α. 0
B. 1
C. 2
D. 3

Answers

Answer:  He can cut it in 3 different ways since all three sides of an equilateral triangle are the same length.

Hope this helped!

Please give brainliest!

Other Questions
Construct the indicated confidence interval for the difference in proportions. Assume that the samples are independent and that they have been randomly selected.A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 knew the product while 196 out of 614 Californians knew the product. Construct a 99% confidence interval for the difference in the proportions of New Yorkers and Californians who knew the product. On April 19, 2021, Millipede Machinery sold a tractor to Thomas Hartwood, accepting a note promising payment of $120,000 in five years. The applicable effective interest rate is 7%. Required:What amount of sales revenue would Millipede recognize on April 19, 2021, for the Hartwood transaction? Which of the following statements is true for all eukarya?Group of answer choicesA. their cells contain a nucleus.B. their cells do not contain a nucleus.C. their cells do not contain a nucleus and they have a different cell wall from bacteria.D. their cell do not contain a nucleus and they have a similar cell wall when compared to bacteria. PLEASE HELP THIS IS THE OTHER PART ALSO DUE IN LIKE 3 MINUTESWrite in the coordinates of the points markedThe letters are in on picture Help ASAP! Can someone explain how? Read the following excerpt from Martin Luther King Jr's "I Have a Dream"speech:With this faith we will be able to work together, to praytogether, to struggle together, to go to jail together, tostand up for freedom together, knowing that we will be freeone day.This will be the day when all of God's children will be ableto sing with a new meaning, "My country, 'tis of thee, sweetland of liberty, of thee I sing. Land where my fathers died,land of the pilgrim's pride, from every mountainside, letfreedom ring."Which statement best explains why the parallelism used in this excerpt iseffective?yes Monochromatic light of wavelength lambda, such as light from a laser, is directed through two narrow parallel slits that are a distance d apart. There is a viewing screen a very long distance R away from the slits that is used to observe the interference pattern that emerges from the light shining through the slits. The distance that light travels from one slit to the screen is r1 and the distance that light travels from the other slit to the screen is r2. The central bright fringe of the interference pattern results due to a path difference, r1 r2, of zero. What path difference is required to produce the first order bright fringe that is adjacent to the central bright fringe? Please help I will give brainliest The words below are included in the sentence. Which word could have more than one meaning?wonbeatsofaenemy find the volume of 2 and 1/2 1 and 1/2 and 3 What is the area of the figure? (PLSSS HELP QUICKLY!!) Chris found the equation of a trend line. The equationis shown below. y= 3x + 10. If x is 5, what is thepredicted value of y? can someone help a brotha out pls pls i need the answer and A REALLY GOOD EXPLANATION pls pls Victor just bought a new television for $738.00. He made a down payment of $78.00 and will pay monthly payments of $30.00 until it is paid off.How many months will Victor be paying? (Assume that Victor pays no interest. Lola rolls two fair number cubes. What is the probability that the two numbers Lola rolls include at least one 4 and have a product of at least 16? 18. What is the greatest common factor of the terms 6q^5 21q^4 - 15q^2 A. 3q^2 B. 6q^2 C. 3q D. 2q^2 What is metamorphosis?? Hlw guys gd Evening.... Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is miles per hour, with a standard deviation of miles per hour. Estimate the percent of vehicles whose speeds are between miles per hour and miles per hour. (Assume the data set has a bell-shaped distribution.)Approximately % of vehicles travel between 61 miles per hour and 71 miles per hour. Pls help i dont know how to answer