Theoretical probability is the probability that an event occurs when all of the outcomes of the experiment are equally likely.
Theoretical Probability
number of ways the event can occur
number of ways the event can occur P(event) = _____________________________________
total number of equally likely outcome
A bag contains 6 red marbles and 12 blue ones. You select one marble at random from the bag.
(1)What is the probability that you select a red marble? Write your answer in the simplest form
(2) What is the probability that you select a blue marble? Write your answer in the simplest form
Answers
1. The probability that we select a red marble is 1/3.
We found this out by taking the amount of red marbles there are and the total amount of marbles. The total amount of marbles is 18 and there are red marbles. So, it would become 6 out of 18 or 6/18. Then, we simplify 6/18 to the simplest form. The greatest common factor of both of those numbers is 6. Lastly, we divide each of them by 6 to get the simplest form.
6/18 = (6/6)/(18/6)
(6/6)/(18/6) = 1/3
So, therefore, the theoretical probability of picking a red marble is 1/3.
2. The probability that we select a blue marble is 2/3.
We can find this out by taking the amount of blue marbles there are and the total amount of marbles. We know that the total amount of marble is 18 and there are 12 blue marbles. So, we simply get the GCF (greatest common factor) and divide them by it.
Greatest Common Factor of 12 and 18 = 6
12/18 = (12/6)/(18/6)
(12/6)/(18/6) = 2/3
Thus, the theoretical probability of picking a blue marble is 2/3.
Related Questions
rewirte 6/5 as a mixed number
Answers
Answer:
1 1/5
Step-by-step explanation:
there is a whole number + 1/5
Answer:
\(1 \ \frac{1}{5} \)
PLease solve it as fast has you can
Answers
Answer:
\(f^{-1}\left(f(576)\right)=\boxed{576}\)
\(f^{-1}(-7)+f(-7)=\boxed{13}\)
Step-by-step explanation:
The inverse of an invertible function with the domain of all real numbers is obtained by reflecting the original function across the line y = x, which swaps the input and output values of the function. Therefore, (x, y) → (y, x).
Given table:
\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&-7&11&-13&6&5&-9\\\cline{1-7}\vphantom{\dfrac12}f(x)&7&12&8&-7&13&5\end{array}\)
Inverse function:
\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&7&12&8&-7&13&5\\\cline{1-7}\vphantom{\dfrac12}f^{-1}(x)&-7&11&-13&6&5&-9\end{array}\)
If we have a function f(x), the inverse function is denoted as f⁻¹(x), and it has the property that f⁻¹(f(x)) = x for all valid inputs x in the domain of f(x).
Therefore:
\(\large\boxed{f^{-1}\left(f(576)\right)=576}\)
The value of f(-7) is the value of f(x) when x = -7. Therefore, reading from the original table, f(-7) = 7.
The value of f⁻¹(-7) is the value of f⁻¹(x) when x = -7. Therefore, reading from the inverse function table, f⁻¹(-7) = 6.
Therefore:
\(\large\boxed{\begin{aligned}f^{-1}(-7)+f(-7)&=6+7\\&=13\end{aligned}}\)
This graph represents a linear function
select the equation represented by the graph
Answers
Y=4/1x -1
Answer: \(y = \frac{1}{4} x - 1\)
Step-by-step explanation: In general, know that the equation for a linear graph is \(y = mx + b\), where
m = \(\frac{rise}{run}\) = the slope of the linear functionb = the y intercept.In our case,
m = \(\frac{rise}{run}\) = \(\frac{1}{4}\)b = -1
Please help I am not asking to find the percentage change. By the way, I need this TONIGHT!!!!!!!!!!
Answers
Answer: 52.2
Step-by-step explanation:
2/ calculate [b] by adding [a] to (25% of [a] )
3/ repeat step 2 but instead of [a] use [b] and instead of 25% use 16%.
Answer below: 52.2
Help pls. Also wdym this is to short yk why so long >:/
Answers
Answer:
Y= mx + b
so Y = 1/3x + 2
just substitute
Now, we shall use points (3,2) as the substitutes for the solution for b, which 3 would be the input and 2 would be y.
Therefore, 2 = 1/3(3) + b
2 = 1 + b, therefore, one would be subtracted from 2 which would give us the answer of b equaling to one. Thus, y = 1/3x + 1
HELP PLEASE I REALLY NEED HELP
Answers
First step is take it out of fractions and into decimals, they are easier to work with.
(0.5x1.125)x(2.66x3.33)x7.5
Then PEMDAS
Parentheses
0.625x-0.66x7.5
Then multiply
-0.41625x7.5
Answer
-3.121875
You pick a card at random. 6 7 8 9 What is P(divisor of 70)? Write your answer as a percentage. %
Answers
Answer:
Step-by-step explanation:
What decimal is in between 2.00 and 2.10?
Answers
Answer:
Step-by-step explanation:
The decimal form of 2/10 is given by dividing 2 by 10.
The decimal point of a decimal number moves by one place towards the left if we divide it by 10.
Hence, 2 divided by 10 is 0.2
Thus, 2/10 in decimal form is 0.2.
Answer: the answer is 2.05
Step-by-step explanation:
well it's like counting normal from 1 to ten. It wouldn't be 2.5 because that can be 50.
Save more time. Make more money. It's that simple.
Let's figure out the perfect pole radius for ANY lawn you
might have to mow.
Use variables to write an expression for the perfect pole
radius (R) given the width of the lawnmower (W) and
the length of the rope (L).
R=
Answers
Answer:
This is the first of several posts where I'll use the activities Desmos ... for the pole radius (R) that will make the lawnmower cut the lawn in a perfect spiral. Given the width of the pool in tiles (n), write an expression for the In each case, students are more likely to see algebra as power than punishment
Step-by-step explanation:
negative fractions on the number line
Answers
Let me know if it’s right!
Answer:
it's answer D
Step-by-step explanation:
its answer D, hope it helps
Julie is painting a mural on a rectangular wall in her school. The wall is 20.5
feet long and 10
feet wide. So far, her mural covers 20%
of the wall. She will paint the remaining part of the wall over the next four days. She will paint the same amount of the wall on each of those four days.
How much of the wall, in square feet, will Julie paint on each of the next four days?
Enter your answer in the space provided.
Answers
the wall she's using for the mural is (20.5)(10) = 205 ft², so far she has done 20% of that, well, she still has 100% - 20% = 80% to go on the next four days, so on the next four days she'll be doing 80% of 205 ft².
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of 205}}{\left( \cfrac{80}{100} \right)205}\implies 164~ft^2\)
Joanna draws a scale model of a rectangular table for a carpenter to build.
On her drawing, 3/4 of an inch represents 1 foot. In the drawing, the table is 7 1/2 inches long. How long, in feet, will the table be when the carpenter builds it?
A. 4 2/3 ft
B. 2 5/8 ft
C. 5 5/8 ft
D. 10 ft
Answers
Answer:
D
Step-by-step explanation:
just multiply the three over four inches with seven and a half to get the accurate measurements
Which phrases can be represented by the expression 60w? Check all that apply. the product of sixty and a number sixty times a number the difference of a number and sixty the quotient of a number and sixty a number divided by sixty the sum of a number and sixty
Answers
Answer:
The product of 60 and a number and Sixty times a number.
Step-by-step explanation:
This is because everything else like the difference, the sum, the quotient, and divided are not multiplication cause in this case 60w is equal to 60*w; and the product the same as multiplication. Also, time is the same as multiplying.
The expression 60w can be written in words will be the product of sixty with a number 'w' and sixty times a number 'w'. Then the correct options are A and B.
How to convert the equation into a sentence?The act of converting mathematical equations into a specified statement is known as equation-to-sentence transformation.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
The expression is given below.
⇒ 60 w
The expression is also written as,
⇒ 60 w
⇒ 60 × w
The expression 60w can be written in words and will be the product of sixty with a number 'w' and sixty times a number 'w'. Then the correct options are A and B.
More about the conversion of an equation into a sentence link is given below.
https://brainly.com/question/10606712
#SPJ6
Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50.00 plus $0.35 per mile driven.
Let m = the number of miles Mr. Parker drives for the day. Write an algebraic expression that shows the amount he will pay for the van.
Answers
Answer:
50d * 0.35m
Step-by-step explanation:
so I don't normally do it like this it would normally be 50 * 0.35x. but the days also had a fee unless she doesn't have it for 2 days and only has it one but d is the days she has it and m is the miles driven the * is times
you would have to find out the days she has it unless you don't have that is would be the answer above (if I am wrong I'm sorry)
PPPPPLLLLEEEAAAAASSSSSSSEEEEEEE HEEEEEEEEELLLP
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. Find the length of AB to the nearest meter. Explain how you got this answer.
Answers
Answer:
formula with a squared term.
It’s not about distance in the sense of walking diagonally across a room. It’s about any distance, like the “distance” between our movie preferences or colors.
If it can be measured, it can be compared with the Pythagorean Theorem. Let’s see why.
Understanding The Theorem
We agree the theorem works. In any right triangle:
pythagorean theorem
If a=3 and b=4, then c=5. Easy, right?
Well, a key observation is that a and b are at right angles (notice the little red box). Movement in one direction has no impact on the other.
It’s a bit like North/South vs. East/West. Moving North does not change your East/West direction, and vice-versa — the directions are independent (the geek term is orthogonal).
The Pythagorean Theorem lets you use find the shortest path distance between orthogonal directions. So it’s not really about right triangles — it’s about comparing “things” moving at right angles.
You: If I walk 3 blocks East and 4 blocks North, how far am I from my starting point?
Me: 5 blocks, as the crow flies. Be sure to bring adequate provisions for your journey.
You: Uh, ok.
So what is “c”?
Well, we could think of c as just a number, but that keeps us in boring triangle-land. I like to think of c as a combination of a and b.
But it’s not a simple combination like addition — after all, c doesn’t equal a + b. It’s more a combination of components — the Pythagorean theorem lets us combine orthogonal components in a manner similar to addition. And there’s the magic.
In our example, C is 5 blocks of “distance”. But it’s more than that: it contains a combination of 3 blocks East and 4 blocks North. Moving along C means you go East and North at the same time. Neat way to think about it, eh?
From the picture attached,
AB and ED are the parallel sides of two triangles ΔCDE and ΔCBA.Measure of sidesDE = 5 m, CD = 5 m, CE = 4 m and CA = 12 m
In ΔCDE and ΔCBA,
Two sides AB and ED are parallel and two lines AC and BC are intersecting these lines,
Therefore, ∠CDE ≅ ∠CBA and ∠CED ≅ ∠CAB [Corresponding angles]
By AA postulate of similarity,
ΔCDE ~ ΔCBA.
By using the property of two similar triangles,
"Corresponding sides of two similar triangles are proportional"
\(\frac{CE}{CA}= \frac{DE}{BA}\)
\(\frac{4}{12}= \frac{5}{AB}\)
\(AB=\frac{5\times 12}{4}\)
\(AB=15\) m
Therefore, length of AB will be 15 meters.
Learn more,
https://brainly.com/question/14521678
I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.
Answers
Answer:
it's Zac Efron for sure, Leonardo DiCaprio is just not the same...
the ratio of boys to girls in the 6th grade is 2:3 if there are 75 students, how many more girls are there than boys?
Show your work.
Answers
Answer:
2:3 = 75
so 25 girls are there in the class
Step-by-step explanation:
What is the measure?
Answers
40% as a decimal.
Help! Its for my edulastic!!!
Answers
Answer:
\(40 \% = \dfrac{40}{100} = 0.4\)
Step-by-step explanation:
Hence, 40% as a decimal is 0.40.
Hoped this helped.
\(BrainiacUser1357\)
A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation? 2y = 16x +14 y = 8x – 7 y = –8x + 7 2y = −16x − 14
Answers
Answer:
I think its y=8x-7
Step-by-step explanation:
Pls tell me if i'm wrong.
Answer:
B
Step-by-step explanation:
I got 100% on edge 2020 quiz
a committee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 7 faculty members and 13 students eligible to serve on the committee. in how many ways can the committee be formed?
Answers
and
C(13, 5) = 13! / (5!(13-5)!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287
Multiply these two combinations since the faculty members and students are selected independently:
Total number of ways to form the committee = C(7, 4) * C(13, 5) = 35 * 1287 = 45,045
Therefore, there are 45,045 ways to form the committee consisting of 4 faculty members and 5 students.
For faculty members:
There are 7 eligible faculty members, and we need to select 4 of them for the committee. This can be done using the combination formula:
C(7, 4) = 7! / (4!(7 - 4)!) = 35.
So, there are 35 ways to select 4 faculty members from the 7 eligible ones.
For students:
There are 13 eligible students, and we need to select 5 of them for the committee. Using the combination formula again:
C(13, 5) = 13! / (5!(13 - 5)!) = 1287.
Therefore, there are 1287 ways to select 5 students from the 13 eligible ones.
To form the committee, we multiply the number of ways to select faculty members by the number of ways to select students:
35 * 1287 = 44,895.
Hence, there are 44,895 ways to form the committee consisting of 4 faculty members and 5 students from the eligible candidates.
plz
1. Giants tickets are original $75 per ticket. This week they are on sale for 20% off. What is the sale price?
2. After the Giants won the Superbowl in 2012, $75 were marked up 18% what was the new selling price?
Answers
Answer:
c + a = 525.....multiply by -3
3c + 7a = 2775
-------------------
-3c - 3a = - 1575 (result of multiplying by -3)
3c + 7a = 2775
--------------------add
4a = 1200
a = 1200/4
a = 300 <== adult tickets sold
Step-by-step explanation:
hi, how is your day? What is an integer?
Answers
Answer:
the positive numbers and negative numbers are called integer
Eman walks from the store to her friend’s house, 2 miles away. It takes her 35 minutes.
A. What fraction represents her constant speed, C ?
B. Write the fraction that represents her constant speed, C , if she walks y miles in 10 minutes.
C. Write and solve a proportion using the fractions from parts (a) and (b) to determine how many miles she walks after 10 minutes. Round your answer to the hundredths place.
D. Write a two-variable equation to represent how many miles Eman can walk over any time interval.
Answers
Answer:
y=mx+b
Step-by-step explanation:
Thank me with a 5 star review (:
I hope this was helpful!
Write the coordinate for the location of the star.
Answers
Find the slope and the y-intercept
5x-3y=6
Answers
Answer: Look you have a website called symbolab and another called desmos for this stuff.
Step-by-step explanation:
hope this helps!!
Which theme is found throughout the interview with Florence Griffith-Joyner ?
A. Belief in oneself creates success.
B. Life is a long, difficult journey.
C. Appearances can be deceiving.
D. Growing up means changing.
Answers
that’s the answer
Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?
A. 120 + 80 + (-65)
B. +(-1) +
C. 40 + 10 + (-12)
D. - 15+ (-25) + 43
Answers
i need help ASAP ill mark brainliestttt
Answers
An engineer is testing two designs for a catapult. She wants the catapult to launch objects 150 feet. The engineer records the distances in feet for 10 trials for the two designs, shown below. Catapult A: 144, 154, 148, 147, 150, 150, 156,151, 153, 151 Calculate the mean absolute deviation for Catapult A.
Answers
Answer:
random sample of 10 tomatoes from each farm are shown below in ounces. 4.
Step-by-step explanation: