Each card in a set of cards has one of the letters from the word MATHEMATICS. The cards are shuffled. Suppose you draw a card from the set of cards, record the letter, return the card to the set, and shuffle the cards. You repeat this experiment 22 times. Would you expect the experimental probability of drawing a vowel to be the same as the theoretical probability? YES or NO and Explain you answer

Answers

Answer 1

Answer:

No

Step-by-step explanation:

Theoretical probability is the expected probability of anything. For example we expect a probability of 1/6 for each number when we roll a die .

Experimental Probability is the one that is obtained by the actual experimenting of rolling the die.

The theoretical probability is the example of perfect probability and experimental probability  is the example of actual occurrence.

Their formulas are

Theoretical Probability = number of possible outcomes/ total number of possible outcomes

Experimental Probability =  number of favorable outcomes/ total number of actual outcomes

If we a roll a fair die several times we may get 2 repeated number of times or any other number that is on the die.

So the experimental probability is bit different from the theoretical probability.

Now if the cards are shuffled and the experiment is repeated 22 times

experimental probability of drawing a vowel  would not  be the same as the theoretical probability because n is small.

If n→1000 or more

n→∞

According to K. Pearson or Buffon when n tends to infinity the  theoretical probability becomes equal to experimental probability.

They experimented this on a coin and put forward their results.


Related Questions

Mr. Petrov was trying to choose between two different plans for dollhouses for his daughter.

Both dollhouses have a rectangular prism base with a length of 6 inches, width of 6 inches, and height of 5 inches. Dollhouse 1 has a triangular prism top. The triangular base has a base of 6 inches and height of 4 inches. The prism has a height of 6 inches. Dollhouse 2 has a square pyramid top with a base of 6 inches by 6 inches and height of 4 inches.

Which statements are true about the dollhouses? Select three options.
The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).
The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4).
The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).
The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4).
The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.

Answers

Answer:

Step-by-step explanation:

A B D

Answer:

Its A,B,D

i got them right on the quiz :)))

Help me please this is due in 10 minutes.

Answers

Answer:

Top left quadrant (Quadrant 2)

Step-by-step explanation:

ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer:

y = 32.5

x = 13

Step-by-step explanation:

opposite angles of the parallelogram are equal to each other.

parallelograms form 360° in total

so 60+ 55 = 115 * 2 (because two angles) = 230

360 - 230 = 130 (divide this by two to get one angle of the parallelogram) so 65°

2y = 65 °. and 5x = 65 °

y = 32.5

x = 13

help help help me please

Answers

Answer:

the answer is B

Step-by-step explanation:

How many combinations of ice cream with a topping can be made if there are 3 kinds or ice cream and 5 toppings?

Answers

Answer: 15 Combinations

Step-by-step explanation: 5x3=15

7. The terminal side of theta, and angle in standard position, intersects the unit circle at
P(-) What is the value of csc?

Answers

Complete question is;

The terminal side of angle θ in standard position, intersects the unit circle at P(-10/26, -24/26). What is the value of csc θ?

Answer:

csc θ = -13/12

Step-by-step explanation:

We know that in a unit circle;

(x, y) = (cos θ, sin θ)

Since the the terminal sides intersects P at the coordinates P(-10/26, -24/26), we can say that;

cos θ = -10/26

sin θ = -24/26

Now we want to find csc θ.

From trigonometric ratios, csc θ = 1/sin θ

Thus;

csc θ = 1/(-24/26)

csc θ = -26/24

csc θ = -13/12

10 students took 9 days to weed a school
compound. How long would it take 15
students to weed the same compound if
they weed at the same rate?

Answers

Answer:

It would take 15 students 6 days to weed the school compound

Step-by-step explanation:

This first step to solving this question is to break down the given rates.

We are told that 10 students take 9 days to weed the school compound. From here we can simplify this by figuring out how long it would take 1 student to weed the compound. Having less people would mean taking a longer time.

1 person is a 1/10 of 10 people. Since we have 10x less people, it should take 10x as long. Therefore it would take 1 person 9x10=90 days to weed a school.

Now the question asks how long it would take 15 people. 15 people is 15x as many as 1 person, so it should take 15x less time to weed the compound. 90/15 = 6

It would take 15 students 6 days to weed the school compound.

Similarly you could have just divided 9 by 1.5 as 15 is 1.5x10, but it is easier to explain the process using the above method.

Hope this helped!

a) Write down the mathematical name of this shape.
what is the shape called ​

Answers

Answer:

What shape? i don't see no shape

Answer:

What shape? Can you add in a picture or something? That would be very helpful in trying to figure out what shape we're dealing with.

This is a special right triangles multi-step problem. Please explain how to do this and the steps to how you got that answer please!

Answers

Answer:

This is an example of a combined 45 45 90 triangle and a 60 30 90 triangle. I have put the pictures showing the side lengths.

Step-by-step explanation:

On the 30 60 90, the hypotenuse is 6.

6 = 2x

x = 3

therefore, the two legs of the triangle are measured as 3 and 3[tex]\sqrt3}[/tex]

Now that we have  3[tex]\sqrt3}[/tex] as one of the legs for the other triangle, using the picture of the 45 45 90 triangle, the hypotenuse must be x[tex]\sqrt{2}[/tex].

Since x =  3[tex]\sqrt3x}[/tex],    x[tex]\sqrt{2}[/tex] is 3[tex]\sqrt3}[/tex] x

Therefore x=3[tex]\sqrt{6}[/tex]

If this helps you mark me brainliest pls

11a + 12b = does it equal 23ab or not

Answers

Answer:

no it doesn’t.

Step-by-step explanation:

A person invests 7000 dollars in a bank. The bank pays 6.25% interest compounded
semi-annually. To the nearest tenth of a year, how long must the person leave the
money in the bank until it reaches 11300 dollars?

Answers

Answer:

5.3 years or 17.2 years

Step-by-step explanation:

Logan has 4 2/3 cup of peanuts and 3 2/3 cup of cashews if you combine some nuts how much will he have

Answers

Answer: He will have 8 1/3 nuts

Step-by-step explanation:

Amount of peanuts=4 2/3 cups

Amount of cashews=3 2/3 cups

Combing the nuts will give  Total amount of nuts ( peanuts and cashews)

=4 2/3  +3 2/3

=7  4/3

7 + 1 1/3

8 1/3 nuts


Help me please I don't know it​

Answers

Answer:

65

Step-by-step explanation:

Method 1(Algebra):

m - 14 = 51

Add 14 to both sides of the equation.

m - 14 + 14 = 51 + 14

Combine like terms.

m = 65

Method 2:

m - 14 = 51

Move negative fourteen(- 14) to the other side of the equation. Because we moved it, it is now positive fourteen( + 14)

m = 51 + 14

Combine like terms.

m = 65

ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer:

D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope it helped :) If you need a explantion step by step then tell me.

Benson is shopping for shampoo. His favorite brand comes in 5 different sizes which size is the best deal

Answers

What are the 5 different sizes? Can you be more specific?

SOMEONE PLS PLS HELP ME

Answers

Answer:

6

Step-by-step explanation:

I counted

666666666666 yup omg

State if the following statement is Biased or Unbiased.

Mr. Smith wants to figure out which fast food restaurant is the most popular amongst the teenagers. He surveys all the teenagers at McDonald's.

Question 3 options:

Biased


Unbiased

Answers

Answer:

I think biased

Step-by-step explanation:

it's the best answer for me

HELP DUE IN 15 MINS!

x=??

Answers

Answer:

Step-by-step explanation:

Remark

The angle formed by the intersection of a tangent to a circle and an intersecting secant is 1/2 (Arc PS - arc PR)

PS = 208

PR = 74

Solution

x = 1/2 (208 - 74)

x = 1/2 (134)

x = 67

Please help, Worth 30.

Answers

Answer:

It's actually worth 15 points

What is a Ratio??????

Answers

Answer:

the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

Step-by-step explanation:

Answer:

a ratio is a part to whole for example chance of getting a one on a dice. so 1:6 or 1/3

Step-by-step explanation:

Joseph has a standard deck of 52 playing cards. What is the probability that Joseph will draw a Jack then a Queen with replacement?

Answers

Answer: four out of 52 to pull a jack

Step-by-step explanation:

Find the constant a, P and Q such
that 3x²-12x+16=a(x+p) +q​

Answers

Answer:

Step-by-step explanation:

Rewrite 3x²-12x+16 as follows:

3(x^2 - 4x) + 16

Complete the square of x^2 - 4x; it is (x - 2)^2 - 4.  We then have:

3( (x - 2)^2 - 4) + 16, or:

3(x - 2)^2 - 12 + 16, or

3(x - 2)^2 + 4

Then a = 3, p = -2 and q = 4

********************************************************************

Completing the square of x^2 - 4x is done as follows:

1.  Identify the coefficient of x:  It is -4.

2.  Take half of this result:  It is -2

3.  Square this, and then add the square to x^2 - 4x, and then subtract it:

    x^2 - 4x = x^2 - 4x + 4 - 4

4.  Rewrite this result in the form (x - a)^2 - c:

    (x - 2)^2 - 4  

5.  Now follow the remainder of the problem solution (given above)

What is 4(a)(c)? Calculate the answer.

Answers

Answer: -20

4(5)(-1)=-20

Please help me with this

Answers

Answer:

9) C: x=4, y=2rt3

10) A: XY/YZ

11) A: XY/XZ

Step-by-step explanation:

9 - that is a 30, 60, 90 triangle so the ratios will be a, root3a, 2a

10 - tan = opposite / adjacent

11 - cos = adjacent/hypotenuse

Answer:

9. (c)

10. (a)

11. (a)

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

What is the volume of a cube with three 1/3 inch sides

Answers

Answer:

(1/27) in^3

Step-by-step explanation:

"sides" is inappropriate here.  You meant "a cube with three edges each 1/3 inch long."

V of cube:  V = s^3, where s:  side length

Here, V = (1/3 in)^3 = (1/27) in^3

Note:  all cubes have 6 (six) sides, including this one with 6  1/3 in sides.

The two angles shown are supplementary. Down below

Answers

Answer:

x = 48

Step-by-step explanation:

If the two angles are supplementary then their sum must be 180 degrees

x + 34 + 2x + 2 = 180

3x + 36 = 180 subtract 36 from both sides

3x = 144 divide both sides by 3

x = 48

what is the perimeter of the triangle?

Answers

Answer:

the picture is messed up

Step-by-step explanation:

Answer:

34?

Step-by-step explanation:

P=a+b+c=10+12+12=34

Bonus: Mr. Rao is planning on making a shed in his backyard (see his plan in the image below). However, local laws require sheds to be at least 15 feet from the property lines. Describe how Mr. Rao should move his shed to comply with the laws. Be specific about the number of feet and the direction (north, south, east, west) that he should move the shed.

Answers

Answer:

North 10 feet, and East 5 feet.

Step-by-step explanation:

So we know that North is ^ way. We also know that East is > way.

These are the two directions we must go, since the property line is both South and West of the shed.

The shed is 10ft East of the property line, and we must be 15ft in that direction. So we must go another 5ft East.

Now, the shed is 5ft North of the property line, and we must be 15ft in that direction. So we must go another 10 feet North.

Hope this helps!

Two boats are traveling toward a cliff that is 225 feet above sea level. When the two boats are exactly 200 feet apart, the boat closest to the cliff has an angle of elevation to the top of the cliff of 36 degree, as shown.

Answers

Answer:

[tex]x=23.82^o[/tex]

Step-by-step explanation:

[tex]Solve ~for~x, first ~ we~ need ~ to ~know~y[/tex]

[tex]tan~36=\frac{225}{y}[/tex]

[tex]y=\frac{225}{tan ~36}[/tex]

[tex]y=309.6859321[/tex]

[tex]tan(x)=\frac{225}{y+200}[/tex]

[tex]x=tan^{-1}(\frac{225}{309.6858321}[/tex]

[tex]x=23.81898048[/tex]

[tex]x=23.82^o[/tex]

------------------------

hope it helps...

have a great day!!

23.82° is derived as the value of x according to nthe diagram shown.

What is Angle of elevation?

This is referred to the angle from the horizontal upward area to an object.It is measured in degrees.

36 = 225/y

y = 225/tan 36

  = 309.686.

tan(x) = 225 / y+200

x = tan -1 (225/309.686)

x = 23.82

Read more about Angle of elevation here https://brainly.com/question/88158

#SPJ2

The circumference of a circular garden is 141 feet. What is the radius of the garden?
Round your answer to the nearest hundredth.

Answers

Answer:

r ≈ 22.44 ft

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ), then

141 = 2πr ( divide both sides by 2π )

[tex]\frac{141}{2\pi }[/tex] = r , that is

r ≈ 22.44 ft ( to the nearest hundredth )

Step-by-step explanation:

plug it in

circumference = 2 x Pi x r

141 = 2 x 3.14 x r

141 = 6.28 x r

141 ÷ 6.28 = r

22.45 = r

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