A bag contains 7 pieces of paper numbered 1 to 7. P(2)=. Is
this an experimental or theoretical probability and why?

Answers

Answer 1

Answer:

[tex]P (2) =\frac{1}{7}[/tex]  Theoretical probability

Step-by-step explanation:

The theoretical probability is defined as:

[tex]P = \frac{number\ of\ desired\ results}{number\ of\ possible\ results}[/tex]

In this case we look for the probability of taking a 2 out of the bag. As there is only one paper with the number 2 in the bag then:

number of desired results = 1

The amount of paper in the bag is equal to 7, so:

number of possible results = 7

Thus:

[tex]P (2) =\frac{1}{7}[/tex]

This is a theoretical probability, since we do not need to perform the experiment to calculate the probability.

To calculate the experimental probability we must perform the following experiment:

Take a paper out of the bag, record the number obtained and then return the paper to the bag.

Now repeat this experiment n times. (Perform n trials)

So:

[tex]P (2) = \frac{number\ of\ times\ you\ obtained\ the\ number\ 2}{number\ of\ trials\ performed}[/tex]

To calculate a theoretical probability you always need to perform an experiment with n trials.


Related Questions

if amanda got on the bus at 2:40 and got off the bus at 3:15. how long was amanda on the bus

Answers

Answer:

35 minutes

Step-by-step explanation:

Answer:

35 minutes

Step-by-step explanation:

She was on the bus for :20 before 3:00 and for :15 after 3:00, for a total of ...

:20 +:15 = :35

That is, 35 minutes.

___

There are 60 minutes in an hour. If you like, you can change an hour to 60 minutes and write the exit time as 3:15 = 2:75. Then you can perform the subtraction

2:75 -2:40 = 0:35

What is 9 +[(4.2- 3.3)+(6.4/0.8)] x 3

Answers

answer. 35.7

explanation: bedmas is important in this question. subtract and divide in the brackets first. add the two numbers in the brackets second. multiply the 8.9 by the 3. then add the 9 to the 26.7

Answer:

35.7

Step-by-step explanation:

9 +[(4.2- 3.3)+(6.4/0.8)] x 3

(4.2- 3.3) = 0.9

(6.4/0.8) = 8

9 + (0.9 +80) × 3 = 9 + 8.9 × 3

                            = 9+26.7

                             = 35.7

What is the main purpose of the reproductive system in organisms on Earth?

A.
to enable an organism to make more of its kind
B.
to control the level of various hormones in the organism
C.
to allow an organism to move through contractile forces
D.
to provide leverage for movement and organ protection

Answers

Answer:

A.

Step-by-step explanation:

That's what I would say, at least.

How many solutions exist for the given equation 0.75(x+40)=0.35(x+20)+(x+20)

Answers

Answer: Wow! That's a tough one, but x = 5 is the only possibility

Step-by-step explanation:

(6-3(cube root of 6)/(cube root of 9)

Answers

For this case we must simplify the following expression:

[tex]\frac {6-3 \sqrt [3] {6}} {\sqrt [3] {9}}[/tex]

Multiplying the numerator and denominator by[tex](\sqrt [3] {9}) ^ 2[/tex]

[tex]\frac {6-3 \sqrt [3] {6}} {\sqrt [3] {9}} * \frac {(\sqrt [3] {9}) ^ 2} {(\sqrt [3] { 9}) ^ 2} =[/tex]

We rewrite:

[tex]\frac {\frac {6-3 \sqrt [3] {6}} * (\sqrt [3] {9}) ^ 2} {\sqrt [3] {9} * (\sqrt [3] {9 }) ^ 2} =[/tex]

By properties of powers we have that:

[tex]a ^ m * a ^ n = a ^ {m + n}\\\frac {(6-3 \sqrt [3] {6}) * (\sqrt [3] {9}) ^ 2} {(\sqrt [3] {9}) ^ 3} =\\\frac {(6-3 \sqrt [3] {6}) * (\sqrt [3] {9}) ^ 2} {9} =[/tex]

We rewrite, moving the exponent within the radical:

[tex]\frac {(6-3 \sqrt [3] {6}) * \sqrt [3] {9 ^ 2}} {9} =\\\frac {(6-3 \sqrt [3] {6}) * \sqrt [3] {81}} {9} =[/tex]

We can rewrite[tex]3 * 3 ^ 3 = 81[/tex]

[tex]\frac {(6-3 \sqrt [3] {6}) * \sqrt [3] {3 * 3 ^ 3}} {9} =[/tex]

We simplify:

[tex]\frac {(6-3 \sqrt [3] {6}) * 3 \sqrt [3] {3}} {9} =[/tex]

We apply distributive property:

[tex]\frac {18 \sqrt [3] {3} -9 \sqrt [3] {18}} {9} =[/tex]

Simplifying we finally have:

[tex]2 \sqrt [3] {3} - \sqrt [3] {18}[/tex]

Answer:

[tex]2 \sqrt [3] {3} - \sqrt [3] {18}[/tex]

The circumference of a circle with a radius of 1 is 2π. Set up a proportion to find the circumference of a circle with a radius of 6.

Answers

Answer:

6 radius = 2π x 6

              = 12π

Step-by-step explanation:

Circumference of a circle

C = 2πr

here r is radius of circle and 2π is constant is we can say that circumference   of a circle is directly proportional to it's radius.

C ∡ r

Given in the question that circumference of a circle with a radius of 1 is 2π.

1 radius = 2π

6 radius = 2π x 6

              = 12π

What is the probability of flipping a coin 10 times and getting tails 7 times ? Round your answer to the nearest tenth of a percent.

Answers

Answer:

Option C: 11.7%

Step-by-step explanation:

The number of elements in sample space when a coin is flipped 10 times will be:

[tex]n(S) = 2^{10} \\= 1024[/tex]

Let A be the event that the tails appear 7 times:

Then,

[tex]C_{(n,k)}=\frac{n!}{(k!)(n-k)!} \\where\\n=population\\k=picks\\In our case, k =7\\and\\n=10\\C_{(10,7)}= \frac{10!}{(7!)(10-3)!}\\= 120\\So, \\P(A) = \frac{n(A)}{n(S)} \\P(A) = \frac{120}{1024} \\= 0.1171\\[/tex]

Converting into percentage:

[tex]P(A) = 0.1171*100=11.7%[/tex]

So, option C is correct ..

Answer:4.4%

Step-by-step explanation:just took it

For a certain spinner, if we expect to win a prize four times in sixty tries, what is the theoretical probability of winning a prize?
A) 1/30
B) 1/20
C) 1/15
D) 1/5

Answers

Answer:

C

Step-by-step explanation:

60 divided by 4, is fifteen, and 1/15 is 4/60 simplified.

Answer: A is maybe the answer.

Step-by-step explanation:

Suppose that 7% of the general population has a disease and that the test for the disease is accurate 70% of the time. What is the probability of testing positive for the disease.

Answers

Answer:

0.049

4.9 % of probability

Step-by-step explanation:

The probability of having the disease is equal to 7%

The probability of testing positive, having the disease is equal to 70%

We are looking for the probability of testing positive.

For that, we need to multiply the probabilities to find the result

P = (0.07)*(0.7)

P = 0.049

P = 4.9%

Choose the function whose graph is given by:

Answers

Answer:

[tex]y=3sec\left(\frac{1}{2}x\right)[/tex]

Step-by-step explanation:

The graphs of [tex]sec(x)[/tex] can be obtained from  the graph of the cosine function using the reciprocal identity, so:

[tex]sec(x)=\frac{1}{cos(x)}[/tex]

But in this problem, the graph stands for the function:

[tex]y=3sec\left(\frac{1}{2}x\right)[/tex]

Because the period is now 4π as indicated and for [tex]x=0[/tex] in the figure and this can be proven as follows:

[tex]Period=\frac{2\pi}{\frac{1}{2}}=4\pi[/tex]

Also, [tex]for \ x=1 \ then \ y=3[/tex] as indicated in the figure and this can be proven as:

[tex]y=3sec\left(\frac{1}{2}x\right) \\ \\ y=\frac{3}{cos(0.5x)} \\ \\ y=\frac{3}{cos(0.5(0))} \\ \\ y=\frac{3}{1}=3[/tex]

Six less than what number is eighteen?

3
12
24
108

Answers

Answer:

24

Step-by-step explanation:

X - 6 = 18

Add 6 to both sides

x = 24

Answer:

the answer is 24

Step-by-step explanation:

A state park had a population of 330 rabbits. The population grew, with continuous compounding at a rate of 15% per year for 12years. How many rabbits were in the park after the 12 years?

Answers

330(1.15)^12=1765.58

The population of rabbits grew continuous compounding so formula for continuously compounded will apply.

The rabbits were in the park after 12 years is 1,996 rabbits.

Given:

The population of rabbit is [tex]P=330[/tex].

The rabbit increasing rate is [tex]r=15\%[/tex].

Time is [tex]t=12\:\rm year[/tex].

Apply the formula for continuously compounded to calculate the number of rabbit after 12 year.

[tex]A=Pe^{rt}[/tex]

Substitute the value.

[tex]A=330.00(2.71828)^{(0.15)(12)}\\A=1,996.38 \\A\approx1996[/tex]

Thus, the rabbits were in the park after 12 years is 1,996 rabbits.

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Which best explains or justifies step 2

Answers

Is there a picture that goes with this ?
Or other steps ?

Answer B

Step-by-step explanation:

Complete the table, and make a graph showing the relationship between quarts and pints

Answers

Step-by-step explanation:

One quart equals to Two pints.

As a result to find the number of quarts that equal a certain number of pints you multiply number of quarts by 2

FORMULA= (P=Q×2)

1Q=2P

2Q=4P

3Q=6P

4Q=8P

The equation of a parabola is given. y=1/4x^2−3x+18 What are the coordinates of the focus of the parabola?

Answers

Answer:

(6,10)

Step-by-step explanation:

Used a calculator

Which of the following equations corresponds to the graph below

Answers

the answer would be d because it goes down 2 and over 1

The answer is d because of the y intercept is -1 and the slope is -2 according to y=mx+b

8 less than the product of a number n and 1/5 is no more than 95

Answers

Answer:

(n/5)-8≤95

Step-by-step explanation:

The solution for the given problem is : [tex]\( n \leq 515 \)[/tex].

Sure, let's solve the problem step by step.

Given: [tex]\( \frac{1}{5}n - 8 \leq 95 \)[/tex]

To solve for [tex]\( n \),[/tex] we'll first add 8 to both sides of the inequality:

[tex]\( \frac{1}{5}n \leq 95 + 8 \)[/tex]

[tex]\( \frac{1}{5}n \leq 103 \)[/tex]

Now, we'll multiply both sides by 5 to isolate[tex]\( n \)[/tex]:

[tex]\( 5 \times \frac{1}{5}n \leq 5 \times 103 \)[/tex]

[tex]\( n \leq 515 \)[/tex]

So, the solution is[tex]\( n \leq 515 \)[/tex]

In conclusion, the solution to the problem is [tex]\( n \leq 515 \)[/tex]. We reached this conclusion by carefully manipulating the inequality step by step to isolate [tex]\( n \).[/tex] This process ensures that our solution is accurate and follows the rules of algebra.

Complete question:

8 less than the product of a number n and 1/5 is no more than 95

The expression -3m - [2m + (5 - m)] + 7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been simplified correctly.

Answers

Answer: It is correctly simplified form.

Step-by-step explanation:

Since we have given that

[tex]-3m-[2x+(5-m)]+7[/tex]

We need to simplify the above expression:

[tex]-3m-2m-5+m+7\\\\=-5m+m+2(\text{gather the like terms})\\\\=-4m+2\\\\=2-4m[/tex]

So, [tex]-3m-[2x+(5-m)]+7=2-4m[/tex]

Hence, it is correctly simplified form.

Find the area of the shape shown below. (Please try to break down.)

Answers

Hello!

The answer is:

The area of the shape is: [tex]10units^{2}[/tex]

[tex]TotalArea=10units^{2}[/tex]

Why?

To solve the problem, we must consider that the shape is formed by two right triangles and a square, so, to calculate its area, we need to calculate the areas of the two triangles and square, and then, add them.

So, we are given the following information:

Smallest triangle:

[tex]base=2units\\height=2units[/tex]

Square:

[tex]base=2units\\height=2units[/tex]

Largest triangle:

[tex]base=4\\height=2[/tex]

Calculations

Smallest triangle:

We can calculate the area of a triangle using the following formula:

[tex]A=\frac{base*height}{2}[/tex]

So, substituting, we have:

[tex]A=\frac{2units*2units}{2}=2units^{2}[/tex]

Square:

We can calculate the area of a square using the following formula:

[tex]A=base*height[/tex]

So, substituting, we have:

[tex]A=2units*2units=4units^{2}[/tex]

Largest triangle:

We can calculate the area of a triangle using the following formula:

[tex]A=\frac{base*height}{2}[/tex]

So, substituting, we have:

[tex]A=\frac{4units*2units}{2}=4units^{2}[/tex]

Now, calculating the area of the entire shape, we have:

[tex]TotalArea=SmallestTriangleArea+SquareArea+LargestTriangleArea\\\\TotalArea=2units^{2} +4units^{2} +4units^{2} =10units^{2}[/tex]

Hence, the area of the shape is: [tex]10units^{2}[/tex]

[tex]TotalArea=10units^{2}[/tex]

Have a nice day!

Answer:56

Step-by-step explanation:

If a car can go 200 miles in 6hours how far can it go in 7 hours

Answers

Answer:

If a car can go 200 miles in 6 hours at a constant rate, in 7 hours it will have gone 233.33 (0.33 repeating) miles.

Step-by-step explanation:

If a car can go 200 miles in 6 hours, then we know it can go about 33.33 miles per hour (found by dividing 200 by 6).

If the car is going at this constant rate we can then multiply 33.33 by 7, which would give us 233.33.

The car can go 233.33 miles in 7 hours

What is Ratio and proportion ?

A comparison of two entities by dividing them is called Proportion and when two ratios are equated to one another , they are said to be in proportion.

It is given in the question that

a car can go 200 miles in 6 hours

Distance covered in 7 hours

In the given question the ratio of Distance covered and time is

200/6 = 100/3 = 100:3

Let the distance covered in 7 hours is x

therefore the ratio will be x : 7

These two ratios will be in proportion

100:3 = x: 7

100/3 = x / 7

x = 100 * 7 / 3

x = 700 / 3

x = 233.33 miles

Therefore The car can go 233.33 miles in 7 hours .

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please help drag and drop

Answers

FCH - NPM

PNM - CFH

HF - MN

NP - FC

What is the hypothesis of the given statement? If pigs had wings, you could fly.

Answers

Final answer:

The hypothesis of the given statement is that if pigs had wings, you could fly.

Explanation:

The hypothesis of the given statement is that if pigs had wings, you could fly.

This statement is an example of a hypothetical scenario, as pigs do not actually have wings. The hypothesis implies that if pigs did have wings, it would enable flight for humans.

It is important to note that this statement is purely hypothetical and does not reflect the reality of pigs having wings.

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answer for a math problem i am stuck on

Answers

Answer:

m = 116 and a = 105

Step-by-step explanation:

The angle m and 64 are supplementary angles because line of a straight line separated by another straight line. This means that m + 64 = 180, or m = 116.

The sum of all the angles in a quadralateral like this one is 360. So angle a = 360 - 89 - 50 - 116, or a =105.

Answer:

m=116  a=105

Step-by-step explanation:

there is 360 degrees inside a square, i found M by subtracting 180 - 64, because there is a 180 degree angle on a flat line and it showed the other side has 64 degrees, and since we know that m is 180-64=116, we can find A. take the total of degree of the inside of the square which is 360, and subtract all the other angle degrees from it to find the missing number. 360-89-50-116=A. A= 105 degrees.

im sorry if this made your problem more confusing, its hard to explain with words alone

PLEASE HELP ME i'm struggling in math what is x? if i carry the 3 over does that mean i add or multiply? Brainliest answer!!!! 30 points

Answers

Answer:

carry over the three means to add i hope you are happy

Step-by-step explanation:

Answer: Usually you have to find the value of X, for example if 9 - x = 5, then you have to subtract 5 from the nine and you get 4, and when you carry three over that means you have to regroup, for example

902 +

459

so 9+2=11, so you put 1 right there

902 +

459

.....1

and you carry the other 1 next to the 0, then it will become 10 + 5,

hope this helps, if you still don't get it tell me

Step-by-step explanation:

+

find the value of x 5x+6-2=9
A.1
B.5
C.3/7 fraction
D. 5/7 fraction​

Answers

Answer:

A

Step-by-step explanation:

Given

5x + 6 - 2 = 9, that is

5x + 4 = 9 ( subtract 4 from both sides )

5x = 5 ( divide both sides by 5 )

x = 1 → A

A can contains 24 fluid ounces of juice. How many pints of fruit juice does the can contain?​

Answers

Answer:

The can contains 1.5 pints of fruit juice.

Step-by-step explanation:

A can contains 24 fluid ounces of juice.

We have to convert the amount of juice from ounce to pints.

As we know that 1 fluid ounces = [tex]\frac{1}{16}[/tex] pints or 0.0624 pints.

So 24 fluid ounces = 0.0625 × 24 =  1.5 pints.

Therefore, The can contains 1.5 pints of fruit juice.

The can contain 1.5 pints of fruit juice

How many pints of fruit juice does the can contain?​

A pint is equal to 16 fluid ounces. That is:

1 pint = 16 fluid ounces

To find out how many pints of juice the can contains, we need to divide the number of fluid ounces by the number of fluid ounces in a pint.

Thus, 24 fluid ounces  of juice in pint will be:

24/ 16  = 1.5 pints

Therefore, the can contains 1.5 pints of fruit juice.

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Destiny bought 10 1/2 yards of material for costumes for the city pageant she will use one and 140 yards of the material to make each costume how many costumes can destiny complete

Answers

Answer:

She can complete 8 costumes

Step-by-step explanation:

Answer:

8 costumes

Step-by-step explanation:

Which is the best estimate for the percent that is represented by the shaded portion of the diagram? 30% 36% 38% 40%

Answers

Answer:

Three of the boxes out of the eight are shaded.

So, 3/8 is .375 which is around 38%.

Hello there!

In this diagram, there are a total of 8 squares, and 3 of them are shaded. This means that 3/8 of them are shaded, and to find what percent this is, divide 3 by 8 and multiply what you get by 100.

3 divided by 8 = 0.375

0.375 x 100 = 37.5%.

37.5% is closest to 38%, so that is your answer!

I hope this helps and have a great rest of your day!

You are to demonstrate that you understand what represents a function and what does not represent a function. You may do this by either writing a paragraph using complete sentences or drawing pictures with labels.

Answers

we are required to demonstrate that we understand what represents a function and what does not represent a function by writing a paragraph which can be given as:

We know that functions are mathematical entities that assign unique outputs to given inputs. In other words, a function can't have repeated values in the input repeated x-value.

For example consider the relation {(1,4), (1,5), (2,6), (3,7), (4,8), (5,9)}.

We see that above relation has repeated x-value "1" which is assigned to two different output values 4 and 5. So by definition of function, above relation can't be a function.

solve for x

x=

the graph shown below

Answers

Answer:

x=27

Step-by-step explanation:

Without the arrow crossing through that right angle, it would equal 90 degrees. Since it's cut in half, each part equals 45 degrees. A straight line equals 180 degrees. 3×27=81 and 81+9=90. 90+90=180 :)

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