How does the experimental probability of choosing a yellow tile compare with the theoretical probability of choosing a yellow tile

Answers

Answer 1

Answer:

The experimental probability is the same as the theoretical probability.

Step-by-step explanation:

The given data is:

color            observed frequency               relative frequency

Red                            15                                          3/10

Blue                           12                                          6/25

Green                         8                                           4/25

Yellow                        10                                          1/5

Purple                         5                                           1/10

The experiment was repeated 50 numbers of times.

Solution:

Theoretical probability is basically what is expected to happen without experimenting and experimental probability is what actually happens as a   results of an experiment.

Theoretical probability =  favorable outcomes / all possible outcomes

Experimental probability = no. of times outcome occurs / no. of times

                                                                                      experiment is performed The experimental probability  and theoretical probability are same i.e. 1/5

This can be seen from the table:

Experimental probability = 1/5

As the experiment is performed 50 times and the outcome (yellow tile) occurs 10 times so using the formula of experimental probability:

10/50 = 1/5

Now as given, there are 5 number of tiles (red,blue,green,yellow,purple) so number of possible outcomes is 5. Yellow tile among these 5 tiles is 1. So the favorable outcomes is 1. So looking at the given formula of theoretical probability:

1/5

So

experimental probability = 1/5

theoretical probability = 1/5

Hence the experimental probability is the same as the theoretical probability.

Answer 2

Answer: A

Step-by-step explanation: it’s A for the lazy people


Related Questions

Explain the 2 different answers you can get when solving an equation and the variable is eliminated.

Answers

When you're solving an equation, there are three possibilities.  Two of which are chosen if your statement is true or not.

If you're able to get x alone, there is one solution.  However, If all of the variables are eliminated and you're left with a false statement, that will be no solution. Example: 1=5? False.

If all of the variables are eliminated and you're left with a true statement, that solution is all real numbers. Example: 5=5? True.

simplify 3^5 • 3^4

a. 6^9
b. 3^9
c. 3 • 20
d. 3^20

Answers

Answer:

The answer is option B

Step-by-step explanation:

[tex] {3}^{5} . {3}^{4} [/tex]

To solve this question we use the rules of indices.

That's since the bases are the same and are multiplying we add the exponents

That's

[tex] {a}^{x} . {a}^{y} = {a}^{x + y} [/tex]

So from the question

[tex] {3}^{5} . {3}^{4} = {3}^{5 + 4} [/tex]

We have the final answer as

[tex] {3}^{9} [/tex]

Hope this helps you

Answer:

b

Step-by-step explanation:

Find the least common multiple (LCM)

Answers

Answer:

12 x^4 y^2

Step-by-step explanation:

6x^2y^2  and 12 x^4 y

First find the least common multiple of the coefficients

6 and 12

12 is the smallest number that they both go into

Then find the least common multiple of the x terms

x^2 and x^4

x^4 is the smallest  that they both go into

Then find the least common multiple of the y terms

y^2 and y

y^2 is the smallest  that they both go into

The least common multiple is

12 x^4 y^2

Answer:

12x4y2

Step-by-step explanation:

lcm is the smallest expression that is divisible by both expressions

Mr Dominguez spends three weeks training for a marathon. Every day he runs 1/2 mile more than the day before. If the first day he ran 6 miles, how many will he run on the 21st day?

Answers

Answer: 16 miles


Explanation:
I believe it would be 16 miles, if he starts off at 6 miles on day one and goes up 1/2 mile every day, he would be up a mile every other day, basically on day 3 he would be at 7 and day 5 at 8 miles, if the pattern continues he would be at 16 miles by day 21.

Given that f(x) = 6x + 2 and g(x) =
2x + 4
5
solve for g(f(1)).
1
03
4
8

Answers

Answer:

[tex]\displaystyle g(f(1)) = 20[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=6x+2 \text{ and } g(x)=2x+4[/tex]

And we want to find:

[tex]g(f(1))[/tex]

First, find f(1):

[tex]\displaystyle \begin{aligned} f(1) &= 6(1) + 2 \\ &= 6 + 2 \\ &= 8 \end{aligned}[/tex]

Substitute:

[tex]g(f(1))=g(8)[/tex]

Find g(8):

[tex]\displaystyle \begin{aligned} g(8) &= 2(8) + 4 \\ &= 16 + 4 \\ &= 20 \end{aligned}[/tex]

In conclusion:

[tex]\displaystyle g(f(1)) = 20[/tex]

solve for (x,y,z). x+y+z=3 -x+3y+2z=-8 x=4z

Answers

Answer:

x=4

y=-2

z=1

Step-by-step explanation:

x+y+z=3

-x+3y+2z=-8

x=4z

so

4z+y+z=3,

y+5z=3

y=3-5z

-4z+3y+2z=-8

3y-2z=-8

3(3-5z)-2z=-8

9-15z-2z=-8

-17z=-8-9

-17z=-17

z=1

x=4z=4×1=4

y=3-5z=3-5×1=3-5=-2

Which number is prime? 21 22 23 24

Answers

Answer:

23 is the prime number

How?

21 is divisible by 3

21 is divisible by 322 is divisible by 2

21 is divisible by 322 is divisible by 223 is not divisible by any no.

21 is divisible by 322 is divisible by 223 is not divisible by any no. 24 is divisible by 2

Step-by-step explanation:

[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]

prime numbers - prime numbers numbers are those numbers who have only one factor 1 and that no it self

21 is divisible by 3 and 7 so it is not a prime number22 is divided by 2 and 11 so it is not a prime number23 is divisible by oly 1 and the number it self it means 23 is a prime number24 is divisible by 2 , 3, 4, 8, 12

Hope it helps u mate

13 people fit comfortably in a 5 foot by 5 foot area. Use this value to estimate the size of a crowd that is 5 feet deep on one side of the street along a 4 mile section of a parade route.

Answers

Answer:

There are 203069 people in the crowd

Step-by-step explanation:

The first step in solving this problem is to ensure that we are working with the same units throughout the solution process. To do this, we will have to convert 4 miles to feet. (This is because every other unit is in feet).

Note: ( 1 mile =5280 feet)

4 miles = 21120 feet.  

The next step is to calculate the area that the entire parade is occupying. This can be done by multiplying the length of the parade by the breadth. In this case, it will be 21120ft X 5 ft = 105600 square feet.

We can now at this point, find the area occupied by only one person.

if 13 people occupy 25 square feet (5ft X5 ft)

1 person will occupy 25/13 = 1.92 square feet

We can finally get the number of people in the crowd by multiplying the area occupied by the whole crowd by the area of one person. This will be

105600 X 1.92= 203069 people in the crowd

What is the range of the function represented by these ordered pairs?

Answers

Answer:

B

Step-by-step explanation:

The range of a data set is the y-coordinates of the ordered pairs.

So, we have the ordered pairs:

{(-2,1), (0,0), (3,-1), (-1,7), (5,7)}

So, the range will be (the bolded numbers):

{(-2,1), (0,0), (3,-1), (-1,7), (5,7)}

Thus, our answer is:

{-1, 0, 1, 7}

Note that the range should be in ascending order.

Also note that even though 7 appears twice, 7 is 7, so we only put one 7.

The answer is B.

Help me please
Surds

Answers

Answer:

12[tex]\sqrt{6}[/tex] + 8[tex]\sqrt{15}[/tex] + 12 + 4[tex]\sqrt{10}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

(4[tex]\sqrt{3}[/tex] + 2[tex]\sqrt{2}[/tex] )(3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] )

Each term in the second factor is multiplied by each term in the first factor, that is

4[tex]\sqrt{3}[/tex] (3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] ) + 2[tex]\sqrt{2}[/tex] (3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] ) ← distribute both parenthesis

= 12[tex]\sqrt{6}[/tex] + 8[tex]\sqrt{15}[/tex] + 12 + 4[tex]\sqrt{10}[/tex]

If a sample mean is 7 and the confidence interval is from 4 to 10, then the
margin of error must be plus or minus
4
10
7
3
6

Answers

Answer:

±3

Step-by-step explanation:

4 - 7 = -3

10 - 7 = 3

HI!! Please help me asap, thank you!

Answers

Answer: -24.8 or 24 4/5

Step-by-step explanation:

How to find the mean: add up ALL the number you want or need then DIVIDE by how many there are.

So: -28 + -26 + - 13 + -39 + -18 = -124

You are not done though.

You HAVE to divide -124 by 5.

so your mean should be -24.8 degrees feriheit,

Examine the table of input (x) and output (y) values below. Is there a relationship between the input and output values? If so, write an equation for this relationship.

Answers

Answer:

y = 3x -1

Step-by-step explanation:

y = mx +/- b

To find the y-intercept, using the table, we look for when x = 0. In this question, when x=0, y = -1. Therefore the y-intercept is -1.

to find the slope (m), we just plug in an "x" value and "y" value, and solve for "m".

i.e.

2 = 1m - 1

3 = 1m

m = 3 = slope

If you use this with any of the other values you will get the same result.

I hope this helps!

-TheBusinessMan

-

(〖5-1)〗^3 + (〖11-2)〗^2 + (〖7-4)〗^3

Answers

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

 Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

         ❀    [tex]\boxed{172}[/tex]   ❀

[tex]\left(5-1)^3+(11-2\right)^2+(7-4)^3[/tex]

[tex]=4^3 + (11 - 2)^2 + ( 7 - 4)^3[/tex]

[tex]=64 + (11 - 2)^2 + ( 7 - 4)^3[/tex]

[tex]= 64 + 9^2 + ( 7 - 4 )^3[/tex]

[tex]= 64 + 81 + ( 7 - 4 )^3[/tex]

[tex]= 145 + ( 7 - 4)^3[/tex]

[tex]= 145 + 3^3[/tex]

[tex]= 145 + 27[/tex]

[tex]= 172[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Simplify the expression. -(6)-1
A: -1/6
B: 1/6
C: 6
D: -1

Answers

It’s letter B I think I’m not as positive

Ask Richard swim underwater his elevation changes and family for six minutes altogether a change in -30 feet what was the change in elevation drink each minute what was the change in elevation during each minute

Answers

Answer:

The change of elevation during each minute is -5 feet per minute

Step-by-step explanation:

Here in this question, we are interested in calculating the change in elevation during each minute given that there was a total change of -30 feet in six minutes altogether.

Now, to calculate the change in elevation during each minute, we need to assume that the change in elevation per each of the minutes is the same.

So to calculate the change in elevation during each of the six minutes, we simply divide the total change in elevation by the total number of minutes.

Mathematically, that would be -30 feet/6 minutes = -5 feet per minute

Consider the tile pattern below. Completely describe what figure 100will look like. How many tiles will be in figure 100? Explain how you know

Answers

Answer:

101 up on the left

100 up on right

6 across the bottom

Step-by-step explanation:

their is always six along the bottom

up on the right is whateve number the figure is it increase one everytime

101 up on the left because figure one stats with 2 and from their one is added

The solution is

a) The figure will have 100 rows of 6 tiles and 1 row having 1 tile

b) The number of tiles in figure 100 will be 601 tiles

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the figure 100 be represented as = a₁₀₀

Let the number of tiles in the first figure be a₁

The value of a₁ = 7 tiles

Let the number of tiles in the second figure be a₂

The value of a₂ = 13 tiles

So , the common difference of the arithmetic sequence is d

d = second term - first term

d = 13 - 7

d = 6

Now , the value of figure a₁₀₀ is calculated by the formula

Tn = a + (n - 1) d

Substituting the values in the equation , we get

a₁₀₀ = 7 + ( 100 - 1 ) 6

a₁₀₀ = 7 + ( 99 x 6 )

a₁₀₀ = 7 + 594

The value of a₁₀₀ = 601

Therefore , the figure will have 100 rows of 6 tiles and 1 row having 1 tile

And , the total number of tiles in the figure is 601 tiles

Hence , The figure will have 100 rows of 6 tiles and 1 row having 1 tile and

the number of tiles in figure 100 will be 601 tiles

To learn more about arithmetic progression click :

https://brainly.com/question/1522572

#SPJ2

12y+6=6(2y+1) does it have a soultion

Answers

Answer:

12y + 6 = 12y + 6

Step-by-step explanation:

both sides are identical, so no.

Answer:

because y=y it has infinitely many solutions

Step-by-step explanation:

the marked price of
b) The price of an electric fan is fixed 20% above its cost price. When it is sold allowing
18% discount, there is a loss of Rs 20. Calculate the marked price and the selling price
of the fan.
min of​

Answers

Answer:

MP =  Rs. 1500

SP =  Rs. 1230

Step-by-step explanation:

Let the Cost Price (CP) be x

Then Market Price (MP):

MP = x+ 20% = 1.2x

Discounted Selling Price (SP):

SP = MP - 18% = 0.82*1.2x = 0.984x

Since the difference between CP and SP is Rs.20:

x - 0.984x = 200.016x = 20x= 20/0.016x = 1250

Then:

MP = 1.2*1250= Rs. 1500

and

SP = 1500*0.82 = Rs. 1230

What is annual simple interest

Answers

Answer:

_____________________________________

The annual interest rate, sometimes called the standard annual interest rate or base rate, is the percentage value you usually see first when comparing financial products. It's the basic interest that you'll pay on your loan or earn on your savings account without taking compounding or fees into consideration.

_____________________________________

2 (w^2-2w)=5 SOLVE USING QUADRATIC EQUATION

Answers

Answer:

x=4+ 2root14/4

by using quadratic formula

Choose the number line that correctly compares 24 and 4.256

Answers

c sqrt24 is 4.8989 so it’s placed there

A number line shows the comparison between numbers, at a regular interval.

The correct number line that compares [tex]\sqrt{24[/tex] and [tex]4.256[/tex] is (c)

The numbers are given as:

[tex]n_1 = \sqrt{24}[/tex]

[tex]n_2 = 4.256[/tex]

So, we have:

[tex]n_1 = \sqrt{24}[/tex]

Take square roots

[tex]n_1 = 4.899[/tex]

4.899 is greater than 4.256 i.e. [tex]n_1 > n_2[/tex]

So, we have:

[tex]\sqrt{24} > 4.256[/tex]

Number lines increases in value towards the right. This means that:

[tex]\sqrt{24}[/tex] will be at the right-hand side of 4.256[tex]\sqrt{24[/tex] will be between 4.8 and 4.9

Hence, the correct number line is: (c)

Read more about number lines at:

https://brainly.com/question/18611090

A rectangular flour canister has dimensions of 512 inches by 4 inches by 10 inches. A smaller sugar canister has dimensions of 312 inches by 3 inches by 8 inches. How much smaller is the volume of the sugar canister than the flour canister?

Answers

Answer:

The amount by which the sugar canister is smaller than the flour canister is 136 in³

Step-by-step explanation:

The dimensions of the flour canister = 5 and 1/2 inches by 4 inches by 10 inches

(5 and 1/2 = (5 1/2))

(3 and 1/2 = (3 1/2))

The dimensions of the smaller sugar canister = 3 and 1/2 inches by 3 inches by 8 inches

The volume of the rectangular prism = Length × Width × Height

∴ The volume of the flour canister = (5 1/2) × 4× 10 = 220 in.³

The volume of the sugar canister = (3 1/2) × 3 × 8= 84 in.³

The difference in volume between the flour canister and the sugar canister is given as follows;

220 in.³ - 84 in.³ = 136 in.³

The amount by which the sugar canister is smaller than the flour canister = 136 in.³.

Answer:

Yeah, what they said above.

Step-by-step explanation:

1-3 Calculating a Weekly Time Card

Answers

Is that the question?

18
A person typically breathes about 8.64 x 10^3 liters of air per day. The life expectancy of
a person in the United States at birth is about 29,200 days. Estimate the total amount of
air a person born in the United States breathes over a lifetime.

Answers

Answer:

  2.53×10^8 liters

Step-by-step explanation:

  (8.65×10^3 L/da)(0.292×10^5 da) ≈ 2.53×10^8 L

R(x)=2√x s(x)=√x (rs)(4)

Answers

Answer:

               (rs)(4) = 8

Step-by-step explanation:

r(x)=2√x         s(x)=√x

(rs)(x) = r(x) × s(x) = 2√x ×√x = 2x

(rs)(4) = 2×4 = 8

Answer:

The second one is 2

Step-by-step explanation:

Just got it right on edg

14x-34

I need help fast!

Answers

Answer:

15.3

Step-by-step explanation:

im not 100 percent sure if this is correct but i used a calculator so...

Which of the following expressions is the additive inverse of -40-42?

Answers

Answer:

it is -2

Step-by-step explanation:

Could someone solve this? Thank you!

Answers

i will solve it in just a second
I’ll help you solve this equation!

A vehicle covers of 43.2km in 2.4liters of petrol .How much distance will it cover in 1 liter of petrol​

Answers

Answer:

18km

Step-by-step explanation:

[tex]Distance_1 = 43.2km\\Litres\:of petrol_1 = 2.4 \:litres\\Distance_2 = ?\\Litres_2 = 1 litre\\\\Use\: Proportion ;\\\\43.2 \:km = 2.4\:litres\\x \:km \:\:\:\:= 1 \:;litres\\\\Cross\:multiply\\\\2.4 \times x= 43.2 \times 1\\2.4x = 43.2\\\\Divide \:both\:sides\:of\:the\:equation\:by\:2.4\\\frac{2.4x}{2.4} = \frac{43.2}{2.4} \\\\x = 18 \: km[/tex]

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