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

pls help me out!! ty in advance!!

Answers

Answer: x = 55°

Step-by-step explanation:

1) The angl of a straight line is 180°

one angle of the line is given, which is 125°

So, to find the other one we will do 125° + x = 180°

x = 55°

8. Chloe received $20.00 for her birthday. She
bought 3 books for $3.59 each. How much
money does Chloe have left?

Answers

Answer: $9.23

because you multiply 3.59 by 3 to get $10.77 which was spent then you subtract $10.77 from $20.

i need help on this question please help

Answers

Answer:

The area of each figure is:

Area of the rectangle = 10 square units.Area of the triangle = 10 square units.Area of the figure = 20 square units.

Step-by-step explanation:

To find the area of that figure, first, we're gonna find the area of the rectangle and next the area of the triangle, to make this we need to identify the measurement of each one, the rectangle has 2 units wide and 5 units high, then, we use the next formula:

Area of a rectangle = width * heightArea of a rectangle = 2 units * 5 unitsArea of a rectangle = 10 square units

Now, we identify the measurements of the triangle (base = 4 units, height = 5 units) and we use the formula:

Area of a triangle = (base * height) / 2Area of a triangle = (4 units * 5 units) / 2Area of a triangle = (20 square units / 2Area of a triangle = 10 square units

And we obtain the area of the whole figure when we add the two areas:

Area of the figure = area of the triangle + area of the rectangleArea of the figure = 10 square units + 10 square unitsArea of the figure = 20 square units.

As you can see, the area of the picture is 20 square units.

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Answers

Answer: the dark blue one

Step-by-step explanation:

(add. write your answer as a fraction, as a whole or as a mixed number)
PLEASE HELP . WILL GIVE BRAINLIEST !

Answers

Answer:

As decimal 20.5833333333

As fraction [tex]20[/tex] [tex]\frac{7}{12}[/tex]

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Step-by-step explanation:

Conversion a mixed number 10 2/

3

to a improper fraction: 10 2/3 = 10 2/

3

= 10 · 3 + 2/

3

= 30 + 2/

3

= 32/

3

To find new numerator:

a) Multiply the whole number 10 by the denominator 3. Whole number 10 equally 10 * 3/

3

= 30/

3

b) Add the answer from previous step 30 to the numerator 2. New numerator is 30 + 2 = 32

c) Write a previous answer (new numerator 32) over the denominator 3.

Ten and two thirds is thirty-two thirds

Conversion a mixed number 9 11/

12

to a improper fraction: 9 11/12 = 9 11/

12

= 9 · 12 + 11/

12

= 108 + 11/

12

= 119/

12

To find new numerator:

a) Multiply the whole number 9 by the denominator 12. Whole number 9 equally 9 * 12/

12

= 108/

12

b) Add the answer from previous step 108 to the numerator 11. New numerator is 108 + 11 = 119

c) Write a previous answer (new numerator 119) over the denominator 12.

Nine and eleven twelfths is one hundred nineteen twelfths

Add: 32/

3

+ 119/

12

= 32 · 4/

3 · 4

+ 119/

12

= 128/

12

+ 119/

12

= 128 + 119/

12

= 247/

12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 12) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 12 = 36. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - thirty-two thirds plus one hundred nineteen twelfths = two hundred forty-seven twelfths.

Decide if each sentence uses assonance or consonance. Then, drag each answer to the correct box.

Answers

Answer:

Assonance, Assonance, Consonance, Assonance - Last box can be seen as consonance because of -ea repetition but there is a constant repetition of the vowel -e.

Step-by-step explanation:

Answer:

The foam rolls across the lonely ocean. : Consonance  
I can't forget the letter that you sent last night: Consonance

In the hills, we stroll until nightfall, when the bells ring from the town hall. : Assonance
I went east, where the green beach trees lean against each other. : Assonance

Step-by-step explanation:

Hope this helps :D

In the figure, what is the value of x?

Answers

Answer:

it is going to be 6

Step-by-step explanation:

Pllls helpp
(Identify the unit rate in dollars per square yard for each carpet company. )

Answers

Answer:

Carpet company a

Step-by-step explanation:

The angle of depression of a point G on a horizontal ground from top T of an electrical pole is 25°. If the distance from G to the foot of the pole is 45m, calculate the height of the pole to the nearest whole number. PS: use scale 1:9.

Answers

Answer: 21 m

Step-by-step explanation:

Given

the angle of depression of point G is [tex]25^{\circ}[/tex]

Distance from pole base to point G is 45 m

Suppose h is the height of the pole

From the figure, we can write

[tex]\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m[/tex]

a letter in the word restoration is randomly selected. what is the probability of selecting a vowel

Answers

5/11 of the probability

SOMEONE PLEASE HELP ME

Answers

Answer:

27

Step-by-step explanation:

math

Help for Brainlyiest plsss

Answers

n = 4
hope it helps

Answer:

n = 4

Step-by-step explanation:

The expression must equal 6. Thus, we can make an equation:

3n - (2 + n) = 6

We distribute the negative and take away the parenthesis:

3n - 2 - n = 6

We combine like terms:

2n - 2 = 6

We add 2 to both sides to isolate n:

2n = 8

We divide each side by 2:

n = 4.

Hi guys it's nothing much but please help me out for braniest and 50 points NO LINK'S thank you​

Answers

Answer:

Step-by-step explanation:

1) A similar triangle must have the same ratios of sides. Triangle ABC and triangle LNM are similar because all the sides of LNM are 1/2 of the sides of ABC. As they are all in a 1:2 ratio, the triangles are similar.

2) ADE and ABC are similar because each angle is the same. Angle D and Angle B are the same because they are shown as the same with the same dot symbolization. Angle E and C are the same because they are shown as the same with the same curvy angle representation. ADE and ABC share A as the same angle, so all three angles are the same.

5) As triangles ABC and EDC are similar, the sides must have the same ratio. ED is similar to AB, EC is similar to AC, and CD and BC are similar. First we find the ratio. The only pair of similar lines are EC and AC, so we have to find the ratio from those two lines. EC is 15 and AC is 10/3, so we do 15 divided by 10/3 and we get 9/2. Therefore, the ratio is 9/2. Now we can find x and y. We can first look at ED and AB. Ed is 12 and AB is y. We know that it must have the same ratio of 9/2, so 12/y must equal 9/2. We can do proportions. 12/y = 9/2, 9y = 24 (you multiply the numbers diagonally). So, we get y = 8/3. Now we can get x the same way. BC and CD are similar, and so x/5 must equal 9/2 as well. We use proportions again and we have x/5 = 9/2, so 45 = 2x and x = 45/2.

Answer:

4.ADE /// ABC (same <s)

<D = <B (corresponding <s)

<E = <C (corresponding <s)

ADE and ABC share A as the same < so all <s are = (AAA )

Circle any part of this problem where you see a mistake (there is at least one) then explain why it was a mistake in the textbox and type in the correct answer.

Answers

Answer:

Circle the -3 or the -2 in the final product

Step-by-step explanation:

If you multiply it out, the last terms are -2 and -3 which equal 6, not negative 6 so, that would be wrong factoring.

Determine the lateral surface area and the total surface for the pyramid. Round your answer to the nearest whole number.


Separate your answers with a comma.

Answers

Answer:

[tex]L = 704[/tex]

[tex]S = 832[/tex]

Step-by-step explanation:

Given

[tex]H = 22[/tex] --- Height

[tex]W = 8[/tex] --- Width

[tex]L=8[/tex] ---- Length

Solving (a): The lateral surface area (L)

This is calculated as:

[tex]L = 2 * (L + W) * H[/tex]

This gives:

[tex]L = 2 * (8 + 8) * 22[/tex]

[tex]L = 2 * 16 * 22[/tex]

[tex]L = 704[/tex]

Solving (b): The total surface area (T)

This is calculated as:

[tex]S = 2 * (LW + WH + LH)[/tex]

This gives:

[tex]S = 2 * (8*8 + 8*22+ 8*22)[/tex]

[tex]S = 2 * (64 + 176+ 176)[/tex]

[tex]S = 2 * 416[/tex]

[tex]S = 832[/tex]

Describe the correct answer to this problem including units what is the surface area of the figure

Answers

Answer:

       A = 22.5π ft² ≈ 70.686 ft²

Step-by-step explanation:

A = π×(2.5)² + π×2.5×6.5 = 6.25π + 16.25π = 22.5π ≈ 70.686 ft²

{6.5 ft is not a height, it's slant length}

Find the probability of picking 2 blue marbles when 2 marbles are picked (with replacement) from a bag containing three blue and one yellow marbles

Answers

Answer: 0.5

Step-by-step explanation:

Given

There are 3 blue and 1 yellow marble

The chance of picking two marble out of 3 is [tex]^3C_2[/tex]

The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]

Therefore, the probability of picking 2 blue marbles

[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]

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Answers

Answer:

Iran

Step-by-step explanation:

Answer:

Iran

Step-by-step explanation:

Empire that dominated Mesopotamia from about 550 to 330 BCE. Most of the ancient Persian empire is in modern-day Iran.

If this helped, please give brainliest!

Evaluate a + 4 when a =7

Answers

Answer:

11

Step-by-step explanation:

7 + 4 = 11

Answer:

11

Step-by-step explanation:

If a = 7, then a + 4 = 7 + 4 = 11

Hope that this helps!

A circle has a radius of 6 cm. What is the area of the circle in terms of π?

Answers

Answer:

okay shdirnsjsjjsjjddjdjjdjdjjdddjd

A line with slope of 1/2 contains the point (3,5). Which order pair also lie on this line. A. (1,6) B. (-1,7) C. (5,6) D. (1,-3)

Answers

The answer is C

Explanation:

Your gradient is given as 1/2
So therefore using y = mx + c
Substitute in the point given to require c
U then have your line equation: y = 1/2.x +7/2

Then by substituting each x co ordinate provided of each option to acquire the correct y co ordinate

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

Answers

Answer:

form x = 6 ± √14

Step-by-step explanation:

I used mw so I'm sorry if worng

iready question 8 which graph does not represent a function​

Answers

Answer:

The one that makes a circle

Step-by-step explanation:

For a linear regression, what is the r-value of the following data to three
decimal places?
х
у
1
4
2
6 9
11
10
16
12
14
A. 0.665
B. -0.816
C. 0.816
D. -0.665

Answers

For a linear regression,

the value of r of the following data to three decimal places is 0.816.

The correct option is C.

What is a correlation coefficient?

The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, the r stands for the coefficient.

A table is given.

For a linear regression analysis.

The calculation for mean and their sum is given in the attached image.

And the value of r is 0.816.

Therefore, the value of r is 0.816.

To learn more about the correlation coefficient;

https://brainly.com/question/15577278

#SPJ1

Find the area and circumference of the circle. Round any answer to the nearest hundredth. Please include the unit of measure in your answer.

Answers

Answer:

A=326.85 in² , C=64.09 in

Step-by-step explanation:

Area of a circle= πr²

r=10.2 in

Plug into a calculator

A=π(10.2 in)² = 326.85129....≈326.85 in²

Circumference = 2πr

C=2π(10.2) = 64.08849...≈64.09 in

can i please have help ill give brainlist (pic below)

Answers

Answer:

A

Step-by-step explanation:

Because we are reflecting across the X-axis, the X coordinate does not change. On the other hand, the Y coordinate becomes its opposite. So we get:

(2, 4) -> (2, -4)

Answer:

I believe the answer is B

Step-by-step explanation:

How long will it take you to double an amount of $500 if you invest it at a rate of 4% compounded monthly?

Answers

Answer:

Number of year = 17 year 4 month (Approx.)

Step-by-step explanation:

Given:

Current amount = $500

Future amount = 2 x 500 = $1,000

Rate of interest = 4%

Find:

Number of year

Computation:

Rate [Monthly] = 4% / 12 = 0.00333

Total time = 12 x n = 12n

A = P[1+r]¹²ⁿ

1000 = 500[1+0.003333]¹²ⁿ

2 = [1+0.003333]¹²ⁿ

2 = [1.003333]¹²ⁿ

Number of year = 17.358

Number of year = 17 year 4 month (Approx.)

A guitar string has a lenght of 0.5 m. If the string is vibrating with a wavelength of 0.25 m, what harmonic is it vibrating at?
1st
4th
Зrd
2nd

Answers

Answer:

4th

Step-by-step explanation:

string length is 0.5m and the wavelengths are 0.25meters. This tells us there are two complete waves in the guitar string. This gives us a total of four antinodes; thus we are in the fourth harmonic.

The distance between two cities on a map is 5.5 centimeters. The map uses a scale in which 1 centimeter represents 15 kilometers. What is the actual distance between these two cities in kilometers?

Answers

Answer:

82.5 kilometers

Step-by-step explanation:

15×5.5= 82.5 kilometers

PLZ HELP MEH PLZ :::

Answers

Answer for A. Is yes, you are unable to combine like terms anymore
A :) baiiiii! Have nice day
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