For the given pair of events A and​ B, complete parts​ (a) and​ (b) below. ​A: When a page is randomly selected and ripped from a 29​-page document and​ destroyed, it is page 15. ​B: When a different page is randomly selected and ripped from the​ document, it is page 24.

Required:
a. Determine whether events A and B are independent or dependent.​ (If two events are technically dependent but can be treated as if they are independent according to the​ 5% guideline, consider them to be​ independent.)
b. Find​ P(A and​ B), the probability that events A and B both occur

Answers

Answer 1

Answer and Step-by-step explanation:

In probability, events are dependent when the probability of the first event ocurring influences the outcome of the second event.

a. For events A and B, after ripping one page, it is destroyed, so the total number of pages changed. Therefore, events A and B are dependent.

b. To find the probability of both events happening, first, determine the probabilities of each event:

P(A) = [tex]\frac{1}{29}[/tex]

P(B) = [tex]\frac{1}{28}[/tex]

P(A and B) = [tex]\frac{1}{29}.\frac{1}{28}[/tex]

P(A and B) = [tex]\frac{1}{812}[/tex]

Probability of A and B occur is 0.12% or [tex]\frac{1}{812}[/tex].


Related Questions

please help me it is due in a hour

Answers

Step-by-step explanation:

it may help you to understand.

What would happen to the perimeter of a shape when the dimensions are multiplied by 10

Answers

Answer:

Be 10 times larger.

Step-by-step explanation:

Imagine the perimeter is just 10. If it got 10 times larger, it goes to 100.

How to write a equation from a graph

Answers

Answer:

The bottom numbers comes first and then the side

Step-by-step explanation:

If i had a graph and i was using gallons per hour i would put gallons on the bottom and hours on the side

Answer/Step-by-step explanation:

So, if there is line on the graph and we need to get its equation in slope-intercept for (y = mx+b where m is the slope and b is the y-intercept). First, we have to take two points that lie on that line. Then, we will use the slope formula (m = y2 - y1 / x2 - x1). Once we get the slope, we have to find the y-intercept aka the b - value in the equation. So, to find this we have to take one of the coordinate point (that lies on the graph and was used to find the slope) and the slope. When you get the b - value, you have to substitute that value and the slope value into the equation. This is how you can write an equation from a graph.

Ex. (2, 3), (4, 9)

m = 9 - 3 / 4 - 2

m = 6/2

m = 3        <--- This is the m value aka the slope

y = mx + b         (In this case, we will use the first point which is (2,3)).

3 = 3(2) + b

3 = 6 + b

b = -3

y = 3x -3

Hope this helps!

What is the value of the function at x=−3?




y = 3

y=−3


y = 0

y = 4
Coordinate grid with the graph of a straight line passing through the points begin ordered pair 2 comma negative 2 end ordered pair and begin ordered pair negative 3 comma 4 enter ordered pair

Answers

y = 3 hope that helped!

Answer:

y= 4

Step-by-step explanation:

Solve the equation 1. For parentheses. Distribute 6.8x+93 = -94+3.4(2-5) 2. If necessary Combine Terms 3 Apply properties Add Subtract Multiply Divide 4. To start over Reset​

Answers

Answer:-0.5

Step-by-step explanation:

Just took the test

Answer:

distribute

combine

add 17x

sub 9.3

div 23.8

Step-by-step explanation:

edge 2022

What is 4/5 = ?/40 Sorry if it’s a stupid question, I forgot this

Answers

Answer: 4/5 = 32/40.

Step-by-step explanation: It's okay, i am really good at math and this is simple for me

Answer:

32/40

Step-by-step explanation:

This was my utmost favorite Math when I was in Elementary School. I am surprised that I still remember it.

Pew Research Center is a nonpartisan polling organization that provides information about issues, attitudes, and trends shaping America. In a poll, Pew researchers found that 73% of teens aged 13–17 have a smartphone, 15% have a basic phone and 12% have no phone. The study also asked the respondents how they communicated with their closest friend. Of those with a smartphone, 58% responded texting, 17% social media and 10% phone calls. Of those with no smartphone, 25% responded texting, 29% social media and 21% phone calls. (Pew Research Center website, October 2015).

Required:
a. One statistic (58%) concerned the use of texting to contact his/her closest friend, if the teen owns a smartphone. To what population is that applicable?
b. Another statistic (25%) concerned the use of texting by those who do not own a smart- phone. To what population is that applicable?
c. Do you think the Pew researchers conducted a census or a sample survey to obtain their results? Why?

Answers

Step-by-step explanation:

from the available data in this question,

1.

this population is applicable to those teenagers in the study who are aged 13 to 17 years and who own a smartphone

2.

from the question, this population is applicable to the the teenagers in the study within the age of 13 to 17 years who do not own a smartphone.

3. pew research conducted a sample survey and not a census to obtain their results. it would be illogical and not practical to conduct a census. A sample survey is better for this since it would cost less, save more time and also the members of the survey can easily be picked from the american teenage population.. a census would require data for the full population compared to sample survey which would only require a subgroup of the teenage population.

To find the height h of a dinosaur in a museum

, Amir placed a mirror on the ground 40 feet from its base.
Then he stepped back 4 feet so that he could see the top of the dinosaur in the mirror. Amir's eyes were
approximately 5 feet 3 inches above the ground. What is the height of the dinosaur? When the answer is
not a whole number, give the answer as a decimal.

Answers

Answer:

55 feet

Step-by-step explanation:

5.5                                   4

                _            =        _

                H                    40

The height of the dinosaur is 52.5 ft.

We know that:

12 inches = 1 ft

So, 1 inch = 1/12 ft

or, 3 inches = 3/12 = 0.25 ft.

So the height of Amir is = 5 ft 3 inch = 5.25 ft.

Let the height of the dinosaur is = x.

So, the ratio is:

[tex]\frac{5.25}{x}=\frac{4}{40}\\x=5.25\cdot\frac{40}{4}\\x=52.5[/tex]

Find out more information about the height here: https://brainly.com/question/983412

if g is the midpoint of ab, classify each triangle by its angles and sides

Answers

Answer:

CFE: Right triangle.

BCE: Acute

BFG: Equilateral

GAF: Obtuse

Step-by-step explanation:

Remember the types of triangles, first the CFE creates a right angle, which is a 90º angle between two of the sides that would be where F is located, so that would be a right triangle.

BCE is an acute triangle since all of its angles are lower than 90º so you don't have any larger than 90º angles, and its sides are not equal to eachother, so different sides and angles below 90º is an acute triangle.

BFG is an equilateral triangle since all of its sides are equal, and it is demonstrated in the figure by putting a little line in the middle of the sides that means that the sides are equal since the three sides of the triangle have them they are all equal making it an equilateral triangle.

GAF is an obtuse triangle, since all of its side are different and it has an angle larger than 90º that creates an obtuse triangle because of its obtuse angle.

Each of the triangles are classified as;

ΔCFE: Right angle triangle.

ΔBEC: Acute triangle

ΔBFG: Equilateral triangle

ΔGAF: Obtuse triangle

1) For the triangle ΔCFE, we can see that it has a right angle at point F. Thus, ∠CFE = 90°. Therefore, we can call ΔCFE right angled triangle.

2) For the triangle ΔBEC, we can see that the three angles namely;∠BEC, ∠BCE, ∠EBC are all less than 90°. Any triangle where the three angles are less than 90° is called acute triangle.

3) For the triangle ΔBFG, we can see that the three sides are equal. Any triangle with it's 3 sides equal is called equilateral triangle.

4) For the triangle ΔGAF, we can see that one of the angles which is ∠G is greater than 90° and any triangle with one of its's angles greater than 90° is called obtuse triangle.

Read more at; https://brainly.com/question/2873413

2. Circle the name of the triangle: isosceles, equilateral, scalene, right​

Answers

Answer:

its a right triangle

Step-by-step explanation:

since the triangle has the little sqaure inside that means 90° angle

Answer:

right

Step-by-step explanation:

if there's a square in the triangle, that means that it's a 90 degree angle, which means it's a right triangle

Round 6.14 to the nearest tenth

Answers

Answer:

6.1

Step-by-step explanation:

Because 4 is nowhere near 10 so the answer is 6.1

Which expression is equivalent to one over five m − 20?

Answers

Answer:

1/5m - 20 = 1/5(m - 100)

Step-by-step explanation:

100% -
Normal text
Arial
11
- BIUA
11
The perimeter of the Norwegian flag is 190 inches. What is the length of each side?
1. What is the equation you will use to find the perimeter?
2. Solve the equation. What is the value of y?

Answers

Old fndkld vnds lfksiocldk c

6=k+5/2 solve for k please help me

Answers

Answer:

k=7

Step-by-step explanation:

k in (-oo:+oo)

6 = k/5-2 // - k/5-2

2-(k/5)+6 = 0

8-1/5*k = 0 // - 8

-1/5*k = -8 // : -1/5

k = -8/(-1/5)

k = 40

k = 40

QUESTION 2 Brewsky's is a chain of micro-breweries. Managers are interested in the costs of the stores and believe that the costs can be explained in large part by the number of customers patron­izing the stores. Monthly data regarding customer visits and costs for the preceding year for one of the stores have been entered into the regression analysis and the analysis is as follows: Average monthly customer-visits 1,462 Average monthly total costs $4,629 Regression Results Intercept $1,496 b coefficient $2.08 R2 0.86814In a regression equation expressed as y = a + bx, how is the letter b best described? (CMA adapted)

Answers

Answer:

b is the amount by which the costs of the stores (i.e. y) will increase whenever the number of customers patron­izing the stores (i.e. x) increases by one.

Step-by-step explanation:

How is the letter b best described?

b is the amount by which the costs of the stores (i.e. y) will increase whenever the number of customers patron­izing the stores (i.e. x) increases by one.

That is, b is the coefficient of letter x and it indicates that whenever there is a one unit increase in the number of customers patron­izing the stores (i.e. x), the costs of the stores (i.e. y) will increase by $2.08.

To give an example, the regression equation in the question is expressed as:

y = a + bx ............................ (1)

Where;

y = the costs of the stores = ?

a = Intercept = $1,496

b = coefficient = $2.08

x = the number of customers patron­izing the stores = ?

Assume x = 1, we can predict y by substituting the values to obtain y1 as follows:

y1 = $1,496 + ($2.08 * 1) = $1,496 + $2.08 = $1,498.08

Now, assume x increases by 1 to 2 i.e. x = 2, we can predict y by substituting the values to obtain y2 as follows:

y2 = $1,496 + ($2.08 * 2) = $1,496 + $4.16 = $1,500.16

The the change is y as a result of one unit increase in x from 1 to 2 can then be obtained as follow:

Change in y = y2 - y1 = $1,500.16 - $1,498.08 = $2.08.

This therefore cofirms that b indicates that whenever there is a one unit increase in the number of customers patron­izing the stores (i.e. x), the costs of the stores (i.e. y) will increase by $2.08.

What is the greatest common factor of 48 and 72​

Answers

Answer:

Method 1: factors of 72: 1, 2, 3, 4, 6, 8, 12, 24, 9, 18, 36, 72 factors of 48: 1, 2, 3, 4, 6, 8, 12, 24, 16, 48 Therefore, the greatest common factor of 48 and 72 is 24.

All the ratios equivalent to 15 to 21

Answers

there’s a lot actually some include 5:7(by dividing both sides by 3), 30:42(by multiplying by 2), well yeah u can just follow this pattern of multiplying the two numbers by the same number to get more ratios

Index notation -
A.4x4x4x5x5
B.9x7x9x9x7x9
C.3x7x7x7x7
D.2x9x9x9x2x9
8^6 divided by 8

Answers

a) 4*3 x 5*2
b) 9*4 x 7*2
c) 3 x 7*4
d) 2*2 x 9*4
8*5

PLZ HELP PLZZZZZZZZZ DONT GET IT WRONG

Answers

Answer:

I would also say a or b, they just seem correct I cant really explain it.

Which type of shape could quadrilateral abcd be ? Select all that apply

Answers

Answer:

BD (not sure but read the explanation)

Step-by-step explanation:

A quadrilateral is a (2-dimensional) closed shape with four straight sides. E G The shape ABCD shown here is a quadrilateral. A line segment drawn from one vertex of a quadrilateral to the opposite vertex is called a diagonal of the quadrilateral. AC is a diagonal of quadrilateral ABCD, as is BD.

Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?
A. 20 + 17 + (-1/2) + (-5/2)
B. 2/3 + (-1/3) + 5
C. (-17) + 45 + (-33)
D. 20 + 80 + (-32)

Answers

9514 1404 393

Answer:

  C.  (-17) + 45 + (-33)

Step-by-step explanation:

The order seems appropriate for A, B, D:

  A. = 37 -6/2 = 34

  B. = 1/3 +5 = 5 1/3

  D. = 100 -32 = 68

I would rearrange the numbers in C to put the negative numbers together:

  C. = (-17) +(-33) +45 = -50 +45 = -5

Answer:

c. is the right answer :) hope this helps

Es la cantidad que se paga o se cobra por el uso del dinero, por siguente ( se deben considerar tres factores: capital, tasa de interés y tiempo)

Answers

es esta una pregunta?

2(n - 3) < - 13 + 2n

Answers

Answer:

yjth

Step-by-step explanation:

Answer:

7/4 = n

1.75 = n

Explination:

2(n - 3) < -13 + 2n

distributive property

2n - 6 < -13 + 2n

inverse operations

2n - 6 < -13 + 2n

+2n              +2n

left side would cancel out/right side would add 2n

-6 < -13 + 4n

add 13 on both sides

-6 < -13 + 4n

+13    +13

-13 and 13 cancel each other out/ -6 + 13 = 7

7 < 4n

divide by 4

7 < 4n

---    ---

4       4

4/4 = 0, so it is n by itself. 7/4 = 1.75

9x-8(x-6)=52 what is the answer

Answers

Answer:

x = 4

Step-by-step explanation:

Step 1: Write equation

9x - 8(x - 6) = 52

Step 2: Solve for x

Distribute -8: 9x - 8x + 48 = 52Combine like terms: x + 48 = 52Subtract 48 on both sides: x = 4

Step 3: Check

Plug in x to verify it's a solution.

9(4) - 8(4 - 6) = 52

36 - 8(-2) = 52

36 + 16 = 52

52 = 52

=
−5=minus, 5, equals


+
6
+6plus, 6

-
15
-
15
-
10
-
10
-
5
-
5
5
5
10
10
15
15
0
0

Answers

Umm what? I don’t think i can answer this cause i can barely read it.

I need help finding the RS, ST and RT​

Answers

Answer:

so your awnser would be

Step-by-step explanation:

Daddy

Answer:

RS = 38

ST = 22

RT = 60

Step-by-step explanation:

Explain why the following equation is correct.

lim x → 5 x2 + x − 30 x − 5 = lim x → 5 (x + 6)

a. Since x2 + x − 30x − 5 and x + 6 are both continuous, the equation follows.
b. Since the equation holds for all x ≠ 5, it follows that both sides of the equation approach the same limit as x → 5.
c. This equation follows from the fact that the equation in part (a) is correct.
d. None of these
e. The equation is not correct.

Answers

Answer:

The answer is "Option a".

Step-by-step explannation:

[tex]\to \bold{ \lim_{n \to \5} \frac{(x^2+x-30)}{(x-5)} = \lim_{n \to \5} (x+6) }\\\\[/tex]

[tex]\to \lim_{n \to \5} \frac{(x^2+(6-5)x-30)}{(x-5)} = \lim_{n \to \5} (x+6) \\\\\to \lim_{n \to \5} \frac{(x^2+6x-5x-30)}{(x-5)} = \lim_{n \to \5} (x+6) \\\\\to \lim_{n \to \5} \frac{x(x+6)-5(x+6)}{(x-5)} = \lim_{n \to \5} (x+6) \\\\\to \lim_{n \to \5} \frac{(x+6) (x-5)}{(x-5)} = \lim_{n \to \5} (x+6) \\\\\to \lim_{n \to \5} (x+6) = \lim_{n \to \5} (x+6) \\\\\to 5+6 =5+6\\\\\to 11 =11[/tex]

that's why the choice a is correct.

can someone help me with this question

Answers

Answer:

tyghtr5yjhhnrty6rws6hbr

Step-by-step explanation:

Determine whether the following graph represents a function.

Answers

Answer:

No.

Step-by-step explanation:

A function must pass the Vertical Line Test. When we test this graph, it does not pass the Vertical Line Test. Therefore, it is not a function.

This graph, however, is a conic. Specifically, a Hyperbola.

What fraction is equivalent to 6/25

Answers

Answer:

0.24

Step-by-step explanation:

if you divide 6 by 25 it would be 0.24

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