Determine whether the pair of actions results in independent or dependent events. Serena picks one marble out of a bag. Then, after replacing the marble, she picks another marble.
A) Dependent; the 1st marble selection will affect the 2nd marble selection.
B) Independent; the 1st marble selection will not affect the 2nd marble selection.
C) Dependent; the 1st marble selection will not affect the 2nd marble selection.
D) Independent; the 1st marble selection will affect the 2nd marble selection.

Please help!

Answers

Answer 1

Answer:

B) Independent; the 1st marble selection will not affect the 2nd marble selection.

Step-by-step explanation:

When finding the probability of events in mathematics, we have both independent and dependent events.

Independent events are events that occur when the results of selection of the first events does not affect the results or outcomes of the second events.

Dependent events are the opposite of Independent events. They are events that occur when the results or outcomes obtained from the second events is affected by the results or outcomes from the selection of the first events.

From the question, we can see that the first event is she picked one marble from the bag. The second event is she replaced the marble before picking another marble. By doing this, the total number of possible outcomes for the probabilities of both events remains the same and they are unaffected.

Therefore, we can say that the two events are Independent because the 1st marble selection will not affect the 2nd marble selection.

Answer 2

Answer:

B) Independent; the 1st marble selection will not affect the 2nd marble selection.

Step-by-step explanation:

These events are independent, because Serena replaced the marble which doesn't alter the total number of outcomes to determine the probability of picking another marble.

Therefore, the right asnwer is B.

Remember that independent events are defined as those which don't influence in each other probabilities.


Related Questions

The vertex of this parabola is at (-3, -2). Which of the following could be its equation?
A) y= -2(x +3)^2 +2
B) y= -2(x +3)^2 -2
C) y= -2(x -3)^2 +2
D) y= -2(x -3)^2 -2

Answers

The answer is b because it’s plus thee which means it goes left three then down two

A car odometer showed 6,437.5 miles at the end of a trip. How many miles did the odometer show at the beginning of the trip if the car was driven 422.3 miles?

Answers

Answer:

The odometer showed 6,015.2 miles at the beginning of the trip.

Step-by-step explanation:

The odometer increases according to the number of miles traveled.

Before the trip, it showed x miles.

During the trip, the car was driven 422.3 miles.

After the trip, it showed 6,437.5 miles.

So

x + 422.3 = 6437.5

x = 6437.5 - 422.3

x = 6,015.2

The odometer showed 6,015.2 miles at the beginning of the trip.

Find the distance between (-10,-7),(-8,1)

Answers

Answer:

6.325

Step-by-step explanation:

“Help me get my feet back on the ground”

Answers

Answer:

Angle 2

Step-by-step explanation:

Remember the X, whatever is opposite to the given angle.

Answer:

angle 2 is the answer my dude

Step-by-step explanation:

A school dedicated 50% of the courtyard area for students to start a garden. The students want to know how much of the 632-square-foot space they will be able to use.

Answers

Answer:70

Step-by-step explanation:

Answer:

this is SUPER late but it is 1/2 x 632

Step-by-step explanation:

If f(x) = x + 2 and g(x) = 3x + 4, then f(g(x)) = ? A) 3x + 6 B) 3x + 10 C) 3x2 + 6x + 4 D) 3x2 + 10x + 6

Answers

Answer:

A. 3x+6

Step-by-step explanation:

To answer this problem you would want to replace the g(x) equation with for the x in the f equation and solve/simplify.

f(x)=x+2, g(x)=3x+4

(3x+4)+2

3x+6

Find the measure of the reference angle for each given angle. Part 1
10. θ = 95°
11. θ = -250°
12. θ = 230°

Answers

Answer:

10. 85°

11. 70°

12. 50°

Step-by-step explanation:

Please see attached picture for full solution.

70 % of 90 please give all right answers this is the last question of this assignment and i dont want to fail

Answers

70% of 90=

10%= 90 divided by 10= 9

9*7=63

WORTH 50 POINTS AND BRAINLIEST NO FAKE ANSWERS NO PLAGIARISM OR WILL REPORT ALSO WRITE 4 SENTENCES. A nickel, a dime, and a quarter are touching as shown. Tangents are drawn from point A to both sides of each coin. In a short paragraph, explain what you can conclude about the four tangent segments?

Answers

Answer and Step-by-step explanation:

These four tangents are all equal in length. By definition, you can draw two tangent lines from a point outside a circle that will touch the circle. These two tangent lines are always congruent. Looking at the two leftmost lines, they are tangents of the nickel, so we can say that they're congruent. Looking at the middle two lines, we see that they must be equal, as well, since they're tangent lines to the dime, but we notice that the second leftmost line is shared by the nickel and the dime. So, these three must all be congruent. By similar reasoning, the rightmost line is congruent to the other three. Thus, all four tangent lines have the same length.

Answer:

Tangents drawn from the same point are equal in length.

Since the middle coin share tangents with the coins on either sides, all tangents are equal in length.

A police officer recorded the speeds of 100 cars in a 50-mile-per-hour zone. The results are
in the box plot shown. How many cars were going between 40 and 48 miles per hour?​

Answers

Answer:

25 cars

Step-by-step explanation:

The number of cars were going between 40 and 48 miles per hour is 25. Therefore, option C is the correct answer.

What is a box and whisker plot?

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.

From the given box plot, we have

Minimum value = 37

Maximum value = 69

First quartile = 40

Third quartile = 55

Mean = 47

The distance between Q1 and the median is 25%.

The number of cars between 40 and 48 miles per hour is therefore 25% of the total.

= 100 × 25%

= 25 cars

Therefore, option C is the correct answer.

Learn more about the box plot here:

https://brainly.com/question/1523909.

#SPJ7

Ben I love kids then with a speed of 51 miles per hour Melanie also left at the same time in the opposite direction at a speed of 42 my husband our find how many hours mowing must travel to of course they are 360 miles apart

Answers

Answer:

Time when Ben and Melanie are 360 miles apart = 3.871 hours.

Step-by-step explanation:

The question seems unclear, but the sense that could be made from this question is that

Ben leaves with a speed of 51 miles per hour and Melanie also left at the same time in the opposite direction at a speed of 42 miles per hour. My husband wants to find how many hours they both must have been moving to be 360 miles apart.

Let the required time be t.

Let the distance covered by Ben in t hours be x miles.

Let the distance covered by Melanie in t hours be y miles.

Total distance covered = x + y = 360 (eqn 1)

speed = (distance/time)

For Ben

51 = (x/t)

x = (51t) miles

For Melanie

42 = (y/t)

y = (42t) miles

Substituting for x and y in eqn 1

x + y = 360

51t + 42t = 360

93t = 360

t = (360/93) = 3.871 hours.

Ben would have travelled x = 51t = 51 × 3.871 = 197.42 miles

Melanie would have travelled y = 42t = 42 × 3.871 = 162.58 miles

Hope this Helps!!!!

Change 125 mm into centimetres.

Answers

Answer:

12.5 cm

Step-by-step explanation:

divide 125 by 10 to get 12.5

Answer:

12.5 cm

Step-by-step explanation:

10 mm=1 cm

so 125 mm=125:10 cm=12.5 cm

in ΔBCD, the measure of ∠D=90°, CB = 89, BD = 80, and DC = 39. What ratio represents the cosine of ∠B?

Answers

Answer:

80/89

Step-by-step explanation:

This is the real answer!! No tricks

The ratio to represent the cosine of ∠B is,

⇒ 80 : 89

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In ΔBCD,

The measure of ∠D=90°, CB = 89, BD = 80, and DC = 39.

Now, We know that;

⇒ cos θ = Base / Hypotenuse

Her, By the given information, we get;

⇒ cos B = Base / Hypotenuse

⇒ cos B = BD / CB

⇒ cos B = 80 / 89

Thus, The ratio to represent the cosine of ∠B is,

⇒ 80 : 89

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

In an election, 471 people voted. Candidate B received 2/3 of the votes. How many votes did Candidate B receive?

Answers

Answer:

Step-by-step explanation:

471/3 * 2 = 314

Answer:

Candidate B has 165 votes

Step-by-step explanation:

Which situation describes INDEPENDENT events? A) One student is chosen from Classroom A, then a student is chosen from Classroom B. B) One card is chosen from a standard deck, it is set aside, then a second card is drawn. C) One student is chosen from Classroom A, then a second student is chosen from Classroom A. D) Tom chooses a letter of the alphabet, then Beth must choose a different letter from the alphabet.

Answers

Answer:

Step-by-step explanation:

A) One student is chosen from Classroom A, then a student is chosen from Classroom B

the sets for each probability to happen are different. what happen in first clause is unrelated to the second clause

Calculate:
400 x 3235 =
You must show full working out.

Answers

Answer:

1294000

Step-by-step explanation:

There are two ways to do this: The short way and the long way:

5/4=y−14 help meeeee

Answers

Answer:

y= 61/4

Step-by-step explanation:

-y=-14-5/4

-y=-61/4

-1(-y=-61/4)

y= 61/4

61/4 is the right answer

Dave wants to sketch a scale drawing of the porch. Choose a reasonable scale and make a scale drawing of the porch. Label the demensions of the model

Answers

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information:

20 feet long 6 feet width

A reasonable scale and make a scale drawing of the porch could be :

1 inch =4 feet

<=> the length side: 20:4 = 5 inches

<=> the width side: 6:4 = 1.5 inches

Hope it will find you well.

Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 111 gallon of gas, to fill the go cart tank. 111 gallon = 231 inches^3

Answers

the answer is 2 cans

Awnser

8 gallons of cans

Orla and Eduardo each looked at a strand of their hair under a microscope and measured the diameter. Orla's strand was 0.005\,\text{cm}0.005cm0, point, 005, start text, c, m, end text in diameter, and Eduardo's strand was 0.012\,\text{cm}0.012cm0, point, 012, start text, c, m, end text in diameter. How much greater was the diameter of Eduardo's hair?

Answers

Answer:

30x2010x943

Step-by-step explanation:

219x29192

Answer:

0.007

Step-by-step explanation:

Juanita spent $9 on each of her 6 grandchildren at the fair. How much money did she spend? Juanita gastó $9 en cada uno de sus 6 nietos en la feria. ¿Cuánto dinero gastó Juanita?

Answers

Answer:

$54

Step-by-step explanation:

she had 6 grandchildren and she used $9 for one grandchild so we multiply

9 x 6 = $ 54

Which expression is equivalent to mn+z

Answers

Is an ecuation with out solution it stays same

Lucy and Zachary work at a furniture store. Lucy is paid $200 per week plus 7.5% of her total sales in dollars, x x, which can be represented by g ( x ) = 200 + 0.075 x g(x)=200+0.075x. Zachary is paid $233 per week plus 6% of his total sales in dollars, x x, which can be represented by f ( x ) = 233 + 0.06 x f(x)=233+0.06x. Determine the value of x x, in dollars, that will make their weekly pay the same.

Answers

Answer:

[tex] f(x) = g(x)[/tex]

[tex] 200 +0.075 x= 233 +0.06 x[/tex]

We can subtract from both sides 0.06x and we got:

[tex] 0.075 x-0.06x +200 = 233[/tex]

And now we can subtract 200 from both sides we got:

[tex] 0.015 x = 33[/tex]

And dividing both sides by 0.015 we got:

[tex] x = \frac{33}{0.015}= 2200[/tex]

And then the final anwer would be x =2200

Step-by-step explanation:

For this case we have the following function for the total sales of Lucy is given by:

[tex] g(x) = 200 +0.075 x[/tex]

And the function for the total sales of Zachary is given by:

[tex] f(x) =233 +0.06 x[/tex]

And we want to determine the value of x, in dollars, that will make their weekly pay the same, so we can set equal the two functions:

[tex] f(x) = g(x)[/tex]

[tex] 200 +0.075 x= 233 +0.06 x[/tex]

We can subtract from both sides 0.06x  and we got:

[tex] 0.075 x-0.06x +200 = 233[/tex]

And now we can subtract 200 from both sides we got:

[tex] 0.015 x = 33[/tex]

And dividing both sides by 0.015 we got:

[tex] x = \frac{33}{0.015}= 2200[/tex]

And then the final anwer would be x =2200

6x^2-x-26 x 2 − x − 2


(2x-3)


(2x-1)


(2x+1)


(3x+2)

Answers

Answer:

3x+2

Step-by-step explanation:

i had a test with the same question, i promise its right :)

A cone and a cylinder have the same base and height as shown below. The volume of the cylinder is 84*3.14in. What can be concluded about the volume of the cone . Check all that apply

Answers

Answer:

28*3.14in

Step-by-step explanation:

Let's consider the formula of these shape first.

For the cylinder

Volume = πr²h

While for the cone

Volume = 1/3πr²h

Just mere looking at the formula we know that if the volume of the cylinder is given, that of the cone will be 1/3 of it.

From the question .

The two have same base and height, indicating equal radius also.

If the volume of the cylinder is 84*3.14in then that of the cone will he 1/3 of 84*3.14in = 28*3.14in

A bowl contains 7 pennies, 9 nickels, and 4 dimes. Elyse removes one coin at random from the bowl and does not replace it. She then removes a second coin at random. What is the probability that both will be dimes?

Answers

Answer:

The probability is 3/95

Step-by-step explanation:

Okay this is a probability without replacement question.

Firstly we calculate the total number of coins = 7 + 9 + 4 = 20 coins

The probability that the first coin will be a dimes = number of dimes/total number of coins = 4/20 = 1/5

Now she removes a coin without replacement, if it was a dime, total number of coins becomes 19 and the total number of dimes becomes 3; Thus the probability of the second coins being a dimes = 3/19

Thus, the probability of both coins being dimes = probability of first coin being dimes * probability of second coins being dimes

= 1/5 * 3/19 = 3/95

Eight hotdogs at the basketball park cost $28 how much does one hotdog cost

Answers

28 divided by 8 is equal to 3.5, so one hotdog will cost $3.50

Micheal brought 15 pounds of flour for $6. How many dollars did he pay per pound of flour?

Answers

Answer:

$.40 per pound

Step-by-step explanation:

6/15

The bottom number (if that were to be in fraction from) would be the number you want as 1. So you want the price of ONE pound of flour.

Hope I was helpful! :)

he payed $0.40 per each pound of flour

2x-y+5=8 in slope-intercept form please!

Answers

Answer:

y= 2x - 3

Step-by-step explanation:

slope intercept form:  y= mx + b

Answer:

y= 2x-3

Step-by-step explanation:

2x-y+5=8

-y= 8-2x-5

-y=-2x+3

-1(-y=-2x+3)

= y= 2x-3


help me fill this out thanks

Answers

Answer:

140 km

Step-by-step explanation:

The square has all 4 sides with the same length, 35 km. Therefore the total perimeter is just 4*35, which is 140 km.

Answer:

140

Step-by-step explanation:

35+35+35+35=140

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