In a bag there are 3 red marbles, 2 yellow marbles and 1 blue marble. After a marble is selected, it is replaced. After 40 attempts at drawing two marbles from the bag, there were three instances where a blue marble then a yellow marble was pulled. What is the percent difference between the theoretical probability and the experimental probability?
75%
26%
56%
35%

Answers

Answer 1

Answer:

35%

Step-by-step explanation:

The percent error can be found using the

|Experimental value - Theoretical value| divided by |Theoretical value| and multiplied by 100.

I hope this helps

Answer 2

Here, the experimental probability is 1/4 and theoretical probability is 1/18.Then the percent difference between the theoretical probability and the experimental probability is 56%.

What is probability ?

The probability is a measure of chances that an event to take place.

Given that,

red marbles = 3

blue marbles =1

yellow marbles = 2

Then.

theoretical probability of selecting a blue marble followed by a yellow marble is:

P(blue and yellow) = P(blue) x P(yellow) = (1/6) x (2/6) = 1/18

Since the marbles are replaced after each draw, the probability of this event is the same for every draw.

The experimental probability of selecting a blue marble followed by a yellow marble after 40 attempts is:

(3/6) x (2/6) x (40 attempts) = 10

Therefore, the experimental probability is 10/40 = 1/4

The percent difference between the theoretical probability and the experimental probability is:

| (experimental probability - theoretical probability) / theoretical probability | x 100%

= | (1/4 - 1/18) / (1/18) | x 100%

= 0.583 x 100%

= 58.3%

Therefore, the percent difference between the theoretical probability and the experimental probability is approximately 58.3%, which is closest to the option 56%.

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Related Questions

If BC = 6 and AD = 5, find DC.

Answers

The answer is 4. You should’ve posted a picture

During the day, Lola's dog is tied by rope to a tree in the center of her yard. The scale drawing below shows the area that the dog has to run, in inches. If the actual length of the rope is 11 2/3 feet, what is the scale used in the drawing?

Answers

Answer:

5 /448

Step-by-step explanation:

Radius in drawing = 1 9/16 in

The actual length of rope = 11 2/3 feets

Converting actual length to inches :

1 feet = 12 inches

11 2/3 feets = (11 2/3) * 12 = 140 inches

To obtain the scale used, we divide the Radius in the drawing by the actual length :

1 9/16 ÷ 140

25 /16 ÷ 140

25 /16 * 1 /140

= 25 / 2240

= 5 /448

Hence, scale is 5 /448 times the actual length of drawing

Hence :

The scale used is :

1 feet = 7.4666 inches

Answer:

5/488

Step-by-step explanation:

I NEED HELP ASAP GEOMETRY 10TH GRADE

Answers

Answer:

4

Step-by-step explanation:

1. AB:BC is 1:2

2. Add the 1 and the 2

(3)

3. Find the distance between -7 and 26

26-(-7) = 33

4. Divide the distance by 3

33/3 = 11

5. Find the distance from A---->B

-7 + 11 = 4

Identify the equation modeled below,and then find its solution

Answers

Answer:

H

Step-by-step explanation:

4x-4=-x-1 = 3/5 or .6

can someone please help

find the slope/rate of change on graph

a. 1/3
b. 3
c. 30
d. 10​

Answers

Answer:

m

Step-by-step explanation:

HELP HELP HELP HELP HELP PLEASEEE

Answers

Answer:  

E and B

Step-by-step explanation:

8 · (x · 4) simplified

Answers

Answer:

8x · 32

Step-by-step explanation:

u multiply the 8 and the x together and it gets 8x

then u multiply the 8 and the 4 and then ur done

Answer:

3.2x

Step-by-step explanation:

Please answer!
What is the mean of this data set?

Answers

Answer:

ᴅ. 35.6

Step-by-step explanation:

#CᴀʀʀʏOɴLᴇᴀʀɴɪɴɢ
Hopes this helps:

Answer: A. 40.1

Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS!

HELP

Triangle ABC has vertices A(-6, 4),
B(6, 4) and C(-6, -1). What is the
perimeter of triangle ABC? What is the
area of triangle ABC?

Answers

Answer:

a

Step-by-step explanation:

4. An oil palm plantation uses fertiliser at a rate of 350 kg per hectare. State the rate of
fertiliser consumption in g per m². [1 hectare = 10 000 m²]​

Answers

Answer:

35

Step-by-step explanation:

1kg= 1000g

1 hectare = 10 000 m²

1 kg/hct = 1000/10 000 g/m²

1 kg/hct = 1 / 10 g/m²

350 kg per hectare is equal to 350 / 10 = 35 g/m²

Is 72 km/h faster than 20 m/s

Answers

Answer:

no.both are equal.

Step-by-step explanation:

72 km/h=72000/(60×60)=20m/s

Answer:

They are equal

Step-by-step explanation:

72 Kilometers per Hour equals the same as 20 Meters per Second.

PLEASE hELp ASAP WILL MARK BRAINLIEST!

image of the question down bellow which on is the correct option?

Answers

Answer:

Its b

Step-by-step explanation:

The number line is saying people spend 70 n below.

HELP HELP ASAP PLEASE

Answers

Answer:

15

Step-by-step explanation:

Pythagorean Theorem

1,find the equation of the line with y-intercept (0,8) and slope ⅗. 2,Find the slope and y-intercept of y=10x-⅓. 3,Find the slopes of the lines containing these points. a) (4,-3) and (6,-4) b)

Answers

Answer:

1) y = 3/5x + 8

2) Slope: 10

   y-intercept: -1/3

3) y = -1/2x - 1

Step-by-step explanation:

1) The equation you need to refer to for this problem is y = mx+b

m = slope (3/5 for this problem)

b = y-intercept(which is 8)

plug those numbers in and you get y = 3/5x + 8

2) look back at this equation: y = mx+b

10 is the slope and -1/3 is the y-intercept

3) This one is a bit more difficult as you need two other formulas to solve:

the slope formula, y1 - y2/x1 - x2, and the point-slope formula,

y - y1 = m(x - x1)

For this problem, you have the coordinates (4, -3) and (6, -4) which you would plug into the slope formula, like this:

-3 -(-4)/4 - 6 = -1/2

the numbers 1 and 2 in this formula refer to the first (x,y) value and the second. You subtract the two y values and the two x values, simplify, and you get your answer.

-1/2 is going to be the m, or slope, that you will use in the second formula, the point slope formula, y - y1 = m(x - x1)

To solve this you choose one of the original coordinates that you were given to plug into the y1 and x1, and plug -1/2, your slope, in for m:

(keep in mind, for this, I used (4,-3) but you can use either one)

y -(-3) = -1/2(x - 4)

To solve this you, first, distribute -1/2 to x and -4 inside the parentheses:

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

Then, on the other side, add the to negatives to get a positive 3:

y + 3 = -1/2x + 2

and subtract 3 from both sides:

y = -1/2x - 1

I hope this isn't too confusing

good luck!

If the number of bacteria in a colony doubles every 21 hours and there is currently a population of 150 bacteria, what will the population be 42 hours from now?

Answers

Answer:

450

Step-by-step explanation:

i think thats right

please with this problem I'm not sure what to put
..............

Answers

Answer:

D. Even and shifts downwards

Explanation:

When a number outside of the parentheses effect the function, it is considered the y.

So, the -4 would cause the function to shift downwards 4 units.

However, it would change the even and odd because you would have to place a negative sign in front of the x.

PLZ HELP ITS DUE NOW NO LINKS

Answers

Answer:

show the options

Step-by-step explanation:

Brainliest?

find the least common denominator for the fractions: 5/5, 1/10, 3/4

Answers

Answer:

20

Explanation:

5 10 15 20

10 20

4 8 12 16 20

Answer:

20

Step-by-step explanation:

Let's list some multiples of each denominator

5: 5, 10, 15, 20, 25, 30

10: 10, 20, 30, 40, 50, 60

4: 4, 8, 12, 16, 20, 24, 28

The common denominator (LCD) is 20

So lets input

20 / 20, 2/20, 15/20

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

If the car spends no time going 35 miles per hour how long would the trip take?

Answers

Answer:

can you specify how fast the car is going? if the car goes 35 miles per hour and the trip is 3 hours its 105 miles in total for your trip. I hope this helps.

The total time that the car will take to cover the trip would be {x}/35 hours.

What is distance?

Distance in kinematics is defined as the product of speed and time.

Mathematically, we can write distance covered as -

distance = speed x time

Given to find the time duration of trip if the car is travelling at 35 miles per hour.

Assume that the total distance that has to be travelled by the car is {x}

miles. From the formula of distance covered, we can write that -

distance = speed x time

time = distance/speed

time = x/35

Therefore, the total time that the car will take to cover the trip would be {x}/35 hours.

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La suma del triple de un número y nueve veces el mismo número es igual a 120. Hallar el número. 3) Hallar el valor del número z sabiendo que la quinta parte de su tercera parte es igual a 3. 4) Andrés tiene seis veces la edad de Jaime aumentada en 18 e igualada a 36. Hallar la edad de Jaime.

Answers

Answer:

El primer número es 10.

z = 45.

La edad de Jaime es de 3 años.

Step-by-step explanation:

Estos problemas los podemos resolver planteando las ecuaciones:

El triple del número (3X) + 9 veces el mismo número (9X) = 120

3X + 9X = 120

12X = 120

X = 120 / 12

X = 10

El primer número es 10

La quinta parte de z es z/5 la quinta parte de su tercera parte es (z/5)/3 = 3

z/15 = 3

z = 45

6Jaime + 18 = 36

6Jaime = 18

Jaime = 3

La edad de Jaime es de 3 años

There are 40 students in a class. Boys makeup 40% of the class. If 25% of the boys wearshirt jacs, how many boys wear shirt jacs?​

Answers

Answer:

6

Step-by-step explanation:

Find out how many boys makeup the class.

100% = 40

1% = 40 ÷ 100 = 0.40

40% = 0.40 x 40 = 16

Find 25% of the class.

25% = 0.40 x 25 = 10

40 - 25 = 15% of the boys wear shirt jacs.

16 - 10 = 6

Gina is four years younger
than twice David's age. Gina
is 18. How old is David?

Answers

Answer:

44

Step-by-step explanation:

Gina is four years younger so

18+4=22

since its twice davids age

22×2=44

Alex drives at an average speed that is 2/5 of the average speed that Roy's train travels. Alex takes 30 minutes to travel 50 km in her car. Roy travels for 1 hour and 20 minutes on his train. How far does Roy travel to 2 dp (decimal places)?

Answers

Answer: 333.33km

Step-by-step explanation:

Average speed is calculated as:

= Distance / Time

Since Alex takes 30 minutes to travel 50 km in her car, Alex average speed will be:

= 50km / 30minutes

= 50km / 0.5hour

= 100km/hour

Since Alex drives at an average speed that is 2/5 of the average speed that Roy's train travels. Roy's average speed will be:

= 100 ÷ 2/5

= 100 × 5/2

= 250km/hour

Since Roy travels for 1 hour and 20 minutes on his train, his distance travelled will be:

= Speed × Time

= 250 × 1 hour 20 minutes

= 250 × 1 20/60

= 250 × 1 1/3

= 250 × 4/3

= 1000/3

= 333.33km

Roy travels 333.33km

Please answer correctly! I will Mark you Brainliest!

Answers

Answer:

the height is 9

Explanation:

8 × 10 = 80

720 ÷ 80 = 9

what is the first page in a geography book?

Answers

Answer:

uh i think its a uhhh carrotttt

Step-by-step explanation:

Find the GCF of the two numbers, and rewrite the sum of the two numbers using the distributive property. 3 + 15 A) 1(3 + 5) B) 1(3 × 5) C) 3(1 + 5) D) 3(1 × 5)

Answers

Answer:

GCF of the numbers is 3 and it can be written as 3(1+5)

Step-by-step explanation:

Given the expression 3+15

First we need to find their factors

3 = 3×1

15 = 3×5

Since 3 is common to both factors, hence the GCF is 3

Factorize

3+15

= (3×1)+(3×5)

Factoring 3 out

= 3(1+5)

Hence the GCF of the numbers is 3 and it can be written as 3(1+5)

Hi I am in desperate need of a "tutor" If anyone is decent at Algebra II, any little help is welcomed! Please respond to this and I will message you on here. I will explain my situation through there

I am honestly in a really tight spot in school and I really need some assistance with my work, thanks :)

Answers

Answer:

Step-by-step explanation:

Hi,

I am quite good at maths and will be happy to help you, not just in Algebra, but any other topics in maths

What is the slope of a line that passes through the points (12,7) and (-14,19)?
F) -13/6
G) -1
H) -6/13
J) 3​

Answers

Answer:

H) -6/13  

Step-by-step explanation:

To find the slope of the line between a pair of two points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of (12,7) and (-14,19) into the formula and simplify like so:  

[tex]m = \frac{(19)-(7)}{(-14)-(12)} \\m =\frac{19-7}{-14-12} \\m = \frac{12}{-26} \\m = -\frac{6}{13}[/tex]

So, Option H is correct.

please help will mark brainliest for right answer!
-thanks <3

Answers

It’s answer C you’re welcome!

Answer:

The answer is B

Step-by-step explanation:

On a field trip to the farm, students counted a combined total of 27 sheep

and cows. There are 15 more sheep than cows. If s represents the number

of sheep and c represents the number of cows, which system of equations

correctly represents this situation

Answers

Answer:

s = c + 15

s + c = 27

substitute for s:

(c + 15) + c = 27

2c = 12

c = 6

s = 21

The system of equation which correctly represents the situation is s + c = 27 and s - c = 15.

What does a System of Linear Equations define?

Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.

System of linear equations involve two or more linear equations.

Given that,

Combined total of sheep and cows = 27

Number of sheep = Number of cows + 15

Let s represents the number of sheep and c represents the number of cows.

s + c = 27

s = c + 15 ⇒ s - c = 15

Hence the system of equation is s + c = 27 and s - c = 15.

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