In your backpack there are three math books, two science books, and five notebooks. If you reach into your backpack and select a math book, and then reach in and select a notebook, are these independent events? Explain.

In Your Backpack There Are Three Math Books, Two Science Books, And Five Notebooks. If You Reach Into

Answers

Answer 1

Answer:

No, because grabbing the math book changed the odds of grabbing the notebook.

Answer 2

These are not independent events as you didn't replace the first book so that changed the probability that you would draw a notebook second , Option C is the answer.

What is Probability ?

Probability is the likeliness of an event to happen.

It is given that there are three math books, two science books, and five notebooks.

Total number of books = 3 + 2 + 5 = 10

The probability of drawing a mathbook is 3 / 10 = 0.3

and then if the mathbook is not replaced then the total outcomes for drawing a notebook changes.

Therefore they are not independent events and Option C is the answer.

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Related Questions

The U.S. Senate has 100 members. After a certain election, there were 20 more Democrats than Republicans, with no other parties represented. How many members of each party were there in the Senate?​

Answers

There were about ...
100-20=80
Then take 80/2=40
So you add 20+40=60
At the end you have 60 democrats and 40 republicans. And to be sure you can add 60+40=100.

Write an equation in slope-intercept form for the line that passes through
(–1, –2) and (3, 4).

Answers

THE ANSWER IS: y=3/2x-1/2

first find the slope given the two points

plug in the slope and one of the given point into point intercept form

multiply out the equation to find slope-intercept form

What is the formula for 3cm, 5cm, and 4cm (3cm being the height and the 4 the base) and its a right triangle

Answers

Answer:

No se perdon nesesito puntos

You make photo props by cutting rectangles out
of parallelogram-shaped pieces of wood. Which
proto props have an area of 32 square feet?
ft
4 ft
& ft
1 ft
8 ft
5 ft
4 ft
6 Ft
1010
8 ft
4 11
2 ft
6
4 ft

Answers

Answer:

I can only read the top 2 dimensions:

The one on the left is 32 ft^2, the one on the right is 31 ft^2

Step-by-step explanation:

left top: (8x5)-(2x4) = 32

right top: (8x4)-(1x1) = 31

left low: (10x?)-(4x7) = ?

right low: (8x?)-(2x6) = ?

Christine is selling tickets at a museum. She knows that she has sold at least 40 tickets. The adult tickets
cost 14 dollars and the children’s tickets cost 12 dollars. If she knows she has sold no more than $720 worth
of tickets, what are the possible combinations?

Answers

Answer:

Adult tickets cost $80, children ticket cost $40

Step-by-step explanation:

Given data

let the number of adults be x

and the number of children be y

so

x+y= 40-------------1

The adult tickets

cost 14 dollars and the children’s tickets cost 12 dollars.

14x+ 12y=  720-------2

solve 1 and 2

x+y= 40

14x+ 12y=  720

from 1

x= 40-y

put this in 2 in place of x

14(40-y)+12y= 720

560-14y+12y= 720

collect like terms

-2y= 720-560

-2y= 160

y= -160/2

y= -80

put y= 80 in 1

x+80= 40

x= 40-80

x= -40

Hence Adult tickets cost $80, children ticket cost $40

Date:
.
'. Due to coxid-19 pandimec, the Jacinto
Family donated 180 pos Face Shield
and the aguinaldo family also don
213 pcs of pace shield to the front
liner, If a face shield cost 8m pesos
How much
the total cost of
donation.
tone soola​

Answers

Answer:

It's 3,114: )

Step-by-step explanation:

Because if you multiply the 8m to 180 it will remain to 1,440 plus additional 1,704 so it will be 3,114, the main answer

if i had 39 containers of water and each container held 24 quarts. How many quarts water are in the 39 containers?

Answers

Answer:

936 quarts

Step-by-step explanation:

[tex]n=24*39=936quarts[/tex]

Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to work, 35% bring a laptop with them, 16% both check work email and use a cell phone to stay connected, and 42.8% neither check work email nor use a cell phone to stay connected nor bring a laptop. In addition, 88 out of every 100 who bring a laptop also check work email, and 70 out of every 100 who use a cell phone to stay connected also bring a laptop.
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?

Answers

Answer:

a. 0.4

b. 0.6

c. 0.6493

Step-by-step explanation:

p(checking work email) = p(A) = 0.40

p(staying connected with cell phone) = p(B) = 0.30

p(having laptop) = p(c) = 0.35

p(checking work mail and staying connected with cell phone) = p(AnB) = 0.16

p(neither A,B or C) = p(AuBuC)

= 1-42.8%

= 0.572

p(A|C) = 88% = 0.88

p(C|B) = 70% = 0.7

a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?

p(B|A) = p(AnB)/p(A)

= 0.16/0.4

= 0.4

b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?

p(B|C) = P(C|B)p(B)/p(C)

= 0.7x0.3/0.35

= 0.6

c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?

p(A|BnC)

= P(BnAnC)/p(AnC)

= p(AnC) = p(A|C).p(C)

= 0.88x0.35

= 0.308

p(AnBnC) = p(AuBuC)-p(a)-p(b)+ p(AnB)+p(AnC)+p(BnC)

p(BnC) = 0.7x0.3

= 0.21

p(AnBnC) = 0.572-0.4-0.3-0.35+0.16+0.308+0.21

= 0.2

p(A|BnC) = 0.2/0.308

= 0.6493

Answer:

which ever one you want its an opinion answer.

Step-by-step explanation:

PLZ HELP ME WITH THIS NEED THE ANSWER NOW PLSSSSSSSSS THIS IS 7TH GRADE AMTH

Answers

Answer:

Just by the looks at it P has the greater slope I think but graph it to make sure cause I might be wrong.

Answer:

Function 2

Step-by-step explanation:

Peter's family traveled 5/8 of the distance to his grandmother’s house on Saturday. They traveled 2/3
of the remaining distance on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?

Answers

1/4 was travelled on Sunday.

What are the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.

Answers

Answer:  6,6.         12,18.     18,6

Step-by-step explanation:

cause I got it right..

The coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'(6,6), B'(12, 18) and C'(18, 6)

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given graph has a triangle ABC.

The coordinates of A, B and C are A(2, 2), B(4, 6) and C(6, 2)

We have to find the coordinates of triangle ABC after a dilation with scale factor 3.

Dilation is the scaling of an object, where it gets bigger or smaller

Now the coordinates after dilation are A'(6,6)

B'(12, 18)

C'(18, 6)

Hence, the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'(6,6), B'(12, 18) and C'(18, 6)

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sonic or Kirby, who is better?

Answers

Answer:

Personaly i would say kirby. but zelda is better than any other game series

Step-by-step explanation:

My Answer: B O T H .

Reason:

They're both my childhood

The school flagpole is 28 feet tall. How many yards is that?

Answers

i think the answer is 9.33 recurring :)

Answer: the answer is 9.33---

A plane is going to fly 300 miles at a planned speed of 530 mph. The flight will have an average headwind of w miles per hour the entire time, meaning the plane is flying directly against the wind. The time
Tin hours of the flight is a function of the speed of the headwind w, in mph, and can be modeled by
300
T(W) =
530-W
At what value of w does the graph have a vertical asymptote ? Explain what this asymptote means in this situation.

Answers

Answer:

Step-by-step explanation:

T(100) represents that the plane flies against the wind at 110mph for 0.714 hours

What is an approximation?

An approximation is anything that is similar to but not identical to something else. Rounding can be used to approximate a number.

Given that a plane is going to fly 300 miles at a planned speed of 530 mph. The equation is T(W) = ( 300 ) / ( 530 -W).

The value of approximation will be calculated as

T(W) = ( 300 ) / ( 530 -W).

T(110) = ( 300 ) / ( 530 - 110)

T(110) = (300 ) / ( 420)

T(110) = 0.714

T(100) represents that the plane flies against the wind at 110mph for 0.714 hours.

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Find the distance between the points.
(7,9) and (-1,9)

Answers

Answer:

The distance is 8 between (7,9) and (-1,9)

Step-by-step explanation:

For:

(X1, Y1) = (7, 9)

(X2, Y2) = (-1, 9)

d=(−1−7)2+(9−9)2√

d=(−8)2+(0)2√

d=64+0√

d=6–√4

d=8

After the Sutton family finished their meal at a local restaurant, the waiter brought them a check for $48.86. If Mrs. Sutton leaves a 20% tip, what amount of tip wages will the waiter receive?

What will the total meal cost?

How much should you tip a hairstylist, pizza delivery person, and taxi driver?

Answers

Answer:

58.23

Step-by-step explanation:

The amount of tip wages will the waiter receive will be $9.77. Then the total meal cost will be $58.63.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

After the Sutton family finished their meal at a local restaurant, the waiter brought them a check for $48.86. If Mrs. Sutton leaves a 20% tip. Then the amount of the tip will be

Tip = 20% of $48.86

Tip = 0.20 x $48.86

Tip = $9.772

Then the total meal cost will be

Total cost = $48.86 + $9.772

Total cost = $58.63

The amount of tip wages will the waiter receive will be $9.77. Then the total meal cost will be $58.63.

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Give 3 values for x that make the inequality true. x < 3

Answers

Answer:

2, 1, 0

Step-by-step explanation:

they are less than 3 (Please mark brainliest)

PLEASE HELP

If x = 3x + 4 - 1 , then what does -x equal?

Answers

Answer:

-4/5 = x

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

x = 3x + 4 - 1

we can subtract 1 from 4

x = 3x + 3

subtract 3x from both sides

-2x = 3

divide both sides by -2

x = -3/2

so -x would equal -(-3/2) = 3/2

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?

(x, y) → (x + 5, y – 3)
(x, y) → (x + 5, y + 3)
(x, y) → (x – 3, y + 5)
(x, y) → (x + 3, y + 5)

Answers

Answer:

(x, y) → (x + 5, y – 3)

Step-by-step explanation:

Refer to a graph. It helps.

Up = +

Down = -

Right = +

Left = -

Answer:

actually, the CORRECT answer is C) (x, y) → (x – 3, y + 5)

Step-by-step explanation:

got 100% on my e2020 unit test! ;D

A turntable rotates at 68 revolutions per minute. What is its angular speed in radians per second?

Answers

Answer:

[tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]

General Formulas and Concepts:

Math

Dimensional Analysis

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Pre-Calculus

Angular Speed: 2π rad per revolution

Step-by-step explanation:

Step 1: Define

68 revolutions per minute

Step 2: Identify Conversions

2π rad per revolution

60 seconds = 1 minute

Step 2: Convert

[DA] Set up:                                                                                                     [tex]\displaystyle \frac{68 \ rev}{1 \ min} \cdot \frac{2 \pi \ rad}{1 \ rev} \cdot \frac{1 \ min}{60 \ sec}[/tex][DA] Multiply/Divide [Cancel out units]:                                                          [tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]

What does (a+b+c)²=?

Answers

Answer:

a²+b²+c²+2ab+2bc+2ca

Heidi is building a stone path in her garden. It needs to be 8 feet to 8 1/2 feet long. Drag stones into the box

Answers

Answer:

where are the stones

Step-by-step explanation:

Answer:

you have to figure out how big the stones are and add to the box accordingly

Step-by-step explanation:

In ΔABC , angle C is a right angle.









Which statement must be true?






A.sin A = cos B
B.sin A = tan B
C.sin B = tan A
D.sin B = cos B

Answers

Answer:  Choice A. sin(A) = cos(B)

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

Explanation:

The rule is that sin(A) = cos(B) if and only if A+B = 90.

Note how

sin(A) = opposite/hypotenuse = BC/ABcos(B) = adjacent/hypotenuse = BC/AB

Since both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).

In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.

The side lengths can be anything you want, as long as you're dealing with a right triangle.

PLZ help me on coordinate work

Answers

Answer:

M: (-12,-19) N:(20,5)

Step-by-step explanation:

M: Find the distance of the opposite side to angle N to figure out the distance of the same side of the side with angle M.

20-(-3)= 23

Use the distance to find the coordinates.

-4+23= 19

N: Find the distance of the opposite side to angle M to figure out the distance of the same side of the side with angle N.

-12-(-3)=-9

Use the distance to find the coordinates.

-4+9= 5

Answer:

N=(20,5)

M=(-12,19)

Step-by-step explanation:

Rectangular Coordinates

The diagram shows two identical and rotated triangles (assumed as right triangles).

We can visually identify there is a hypotenuse, a shorter leg, and a longer leg on each triangle.

The longer leg on the triangle at the left is the one that passes through (-12,-4) and M and should have the same length as the leg on the triangle at the right that passes through (-3,-4) and (20,-4). Subtracting the x-coordinates of these points we have its length = 20 - (-3) = 23.

The coordinates of M are (-12,y), where y = -4+23 = 19.

M=(-12,19)

The shorter leg has a length calculated as the difference in the x-coordinates of (-12,-4) and (-3,-4). L= -3+12 = 9.

The coordinates of N are (20,-4+9) = (20,5)

N=(20,5)

Use the distributive property to find two expressions that are equivalent to 73x = 4).​

Answers

Answer:

this is the answer to your question x=73/4; 4/73=1/x

In Ms. Perron’s class, 60% of the students are boys. There are 26 students in the class. What is the total number of boys in Ms. Perron’s class?
Help :'/

Answers

Answer:

Let the no. of students be X.

Boys = 60% of X .

So Boys = (60/100)*X.

So left 40% of students are girls and it is given they are 14.

So total students X= total boys + total girls.

X = (60/100)*X+14.

(40/100)*X = 14.

X = (14*100)/40.

X = 35.

X - (60/100)*X = 14.

Step-by-step explanation:

Factor Completely::::​

Answers

Answer:

x^2(x-9)(x+3) lmk if u need steps

Answer:

x^2 (x+3) (x-9)

Step-by-step explanation:

...............


Help me find the volume of the composite figure

Answers

Answer:

[tex]V = 97.911in^3[/tex]

Step-by-step explanation:

Given

Shapes: Cube and Cone

Required

Determine the volume

First we calculate the volume of the cube

[tex]V_1 = l^3[/tex]

Where

l = side length = 5.1

[tex]V_1 = 5.1^3[/tex]

[tex]V_1 = 132.651[/tex]

Next, calculate the volume of the cone using:

[tex]V_2 = \frac{\pi r^2h}{3}[/tex]

Where

h = 5.1

[tex]r = \frac{1}{2} * Diameter[/tex]

[tex]r = \frac{1}{2} * 5.1[/tex]

[tex]r = 2.55[/tex]

So, we have:

[tex]V_2 = \frac{\pi r^2h}{3}[/tex]

[tex]V_2 = \frac{\pi * 2.55^2 * 5.1}{3}[/tex]

[tex]V_2 = \frac{22 * 2.55^2 * 5.1}{7*3}[/tex]

[tex]V_2 = \frac{729.5805}{21}[/tex]

[tex]V_2 = 34.74[/tex]

The volume of the figure is:

[tex]V=V_1 - V_2[/tex]

[tex]V_1 = 132.651[/tex]

[tex]V = 132.651 - 34.74[/tex]

[tex]V = 97.911in^3[/tex]

Point A is at (-2, 4) and point B is at (7,3).
What is the midpoint of line segment AB?

Answers

Answer:

(2.5,3.5)

Step-by-step explanation:

Omni calculator

Answer:

(2.5, 3.5)

Step-by-step explanation:


The usual price of a sweatshirt is $18, what is its sale price?

Answers

Answer:

I feel like there is more to that question can you put the whole question

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