HELP
Tom and Kim are playing a game in which they use a spinner with 10 sectors. One of the sectors says, "$0," four
say, "S100," three say, "$200," and two say, "$500. " Use a table to show the probability distribution.
Answers
Here is the probability distribution table:
|Outcome|Probability|
|-------|-----------|
|$0 |1/10 |
|S100 |4/10 |
|$200 |3/10 |
|$500 |2/10 |
To create the table, you simply list each possible outcome (in this case, the different amounts that could be won on the spinner), and then calculate the probability of each outcome occurring. In this case, there are 10 sectors in total, so the probability of landing on each sector is 1/10. There is 1 sector that says "$0," so the probability of getting that outcome is 1/10.
There are 4 sectors that say "S100," so the probability of getting that outcome is 4/10, or 2/5. Similarly, there are 3 sectors that say "$200," so the probability of getting that outcome is 3/10, or 3/10.
And finally, there are 2 sectors that say "$500," so the probability of getting that outcome is 2/10, or 1/5.
To know more about probability distribution table, refer to the link below:
https://brainly.com/question/12385304#
#SPJ11
Related Questions
every morning, laura practices shooting basketball free throws. she doesn't shoot a fixed amount, instead she keeps shooting free throws until she makes 12. suppose laura is an 82% free throw shooter. let x be how many free throws laura will miss tomorrow morning. then x has a negative binomial distribution. what is a trial? [ select ] what is a success? [ select ] how many successes are required? r
Answers
The probability of Laura missing 3 free throws before making 12 is approximately 0.0037 or 0.37%.
The basketball free throw.
A success would be considered when Laura makes a free throw.
A failure would be when Laura misses a free throw.
The negative binomial distribution is a probability distribution that calculates the probability of obtaining a certain number of failures before a specified number of successes occur.
The specified number of successes is 12, and the number of failures is represented by the variable x.
To calculate the probability of x failures, we need to know the probability of a single failure.
Since Laura is an 82% free throw shooter, the probability of her missing a free throw is 18%.
We can use the formula for negative binomial distribution to determine how many failures are required before 12 successes are achieved.
The formula is:
\(P(X = x) = (r+x-1)C(x) \times p^r \times (1-p)^x\)
Where:
P(X = x) is the probability of having x failures before achieving 12 successes
r is the number of successes required (in this case, 12)
p is the probability of a single success (in this case, 0.82)
\((r+x-1)C(x)\)is the combination of r+x-1 choose x
For example, if we want to find the probability of Laura missing 3 free throws before making 12, we will plug in x = 3, r = 12, p = 0.82 into the formula:
\(P(X = 3) = (12+3-1)C(3) \times 0.82^1^2\times (1-0.82)^3\)
\(P(X = 3) = 14C3 \times 0.082^1^2 \times 0.18^3\)
\(P(X = 3) = 364 \times 0.000018 \times 0.005832\)
P(X = 3) = 0.000037
Overall, the trial in this scenario is each individual attempt at a free throw, the success is making a free throw, and 12 successes are required before the shooting session is considered complete.
The negative binomial distribution is used to calculate the probability of obtaining a certain number of failures before achieving the specified number of successes.
For similar questions on probability
https://brainly.com/question/24756209
#SPJ11
'x' follows a negative binomial distribution with 'r' being 12 successes.
In this scenario, a trial refers to each individual attempt at shooting a free throw. A success is when Laura successfully makes a free throw. To achieve her goal of making 12 free throws, she needs to have 11 successes (since she will miss on the final attempt). Therefore, r = 11.
In this context, a "trial" refers to each individual attempt Laura makes to shoot a basketball free throw. A "success" is when Laura makes a free throw (hits the basket), while a "failure" (not mentioned in the question) would be when Laura misses a free throw. Since Laura keeps shooting free throws until she makes 12, the number of successes required, denoted as 'r', is 12.
Therefore, 'x' follows a negative binomial distribution with 'r' being 12 successes.
Learn more about binomial distribution here:
https://brainly.com/question/31197941
#SPJ11
Find the difference.
(8x^5+ 6x^3 – 2x² + 10x) – (9x^5– x^3– 13x² + 4) =
Answers
Answer:
Step-by-step explanation:
(8x^5+ 6x^3 – 2x² + 10x) – (9x^5– x^3– 13x² + 4) =
-x^5+7x^3+11x^2+10x-4
Choose the statement that best defines the term "experiment" in the context of probability.
a) A process that leads to only one of several possible outcomes.
b) A random trial whose outcome can be predicted on the basis of mathematical analysis.
c) A process that may or may not confirm a hypothesis.
Answers
Out of the three given options, option a) is the most appropriate definition of an experiment in the context of probability.
The term "experiment" in the context of probability refers to a process or activity that involves observing or measuring an outcome that is subject to chance or uncertainty. The outcome of an experiment is not necessarily predictable with certainty, and it may depend on various factors such as the conditions under which the experiment is conducted and the randomness inherent in the process.
Out of the three given options, option a) is the most appropriate definition of an experiment in the context of probability. An experiment is essentially a process that leads to one of several possible outcomes, and the probability of each outcome can be calculated or estimated based on the underlying assumptions and factors involved. Examples of experiments in probability include rolling a die, tossing a coin, drawing a card from a deck, or conducting a clinical trial to test a new drug.
Option b) is not an appropriate definition of an experiment because it suggests that the outcome can be predicted with certainty based on mathematical analysis, which is not always the case in experiments involving chance or uncertainty.
Option c) is also not an appropriate definition of an experiment because it suggests that an experiment is conducted to confirm a hypothesis, which may or may not be true. While experiments can be used to test hypotheses and provide evidence to support or refute them, the primary goal of an experiment in the context of probability is to observe or measure the outcome and calculate the probability of each possible outcome.
To know more about context of probability. click here:
brainly.com/question/14354379
#SPJ4
Dependent and Independent Events
S
?
Tom is playing a board game.
He has rolled a six nine times in a row.
What's the probability that his 10th roll will not be a six?
금
Answers
Answer:
Step-by-step explanation:
Hello!
If you consider the 6-sided dice to be balanced, then each result has the same probability of occurrence: P(1)=P(2)=P(3)=P(4)=P(5)=P(6)= \(\frac{1}{6}\)
And each time Tom rolls the dice is independent of the other times, this means that you can disregard all previous rolls and calculate the 10nth time as if it is the 1st one.
Be the event A: "Tom rolled the dice for the 10nth time and obtained a 6"
The probability of A occurring will be P(A)= 1/6
On the other hand, the complement of "A" will be \(A^c\): "Tom rolled the dice for the 10nth time and didn't obtain a 6"
This means he could obtain a 1 or a 2 or a 3 or a 4 or a 5
You can calculate the probability pf this event by adding the probability of obtaining each value P(\(A^c\))= P(1)+P(2)+P(3)+P(4)+P(5)= 1/6*5= 5/6
Or by subtracting the probability of A to the total probability of the sample space:
P(\(A^c\))= 1 - P(A)= 1 - 1/6= 5/6
I hope this helps!
1.) Tony deposited $743.22 to his checking account on July 1st. He then wrote a
check for $312.29 and another check for $36.70. The bank charged a
monthly service of $6.26. He now has $410.98 in the bank. How much did
Tony have in the bank at the end of June?
34
A. $387.97
B. $23.01
C. $798.95
D. $394.23
Answers
Answer:
23.01
Step-by-step explanation:
743.22-312.29-36.7-6.26
=387.97
410.98-387.97
=23.01
Solve the simultaneous equations
x^2 +y^2 =9
X+y=2
Answers
The given simultaneous equations are x² + y² = 9 ...............(1)
x + y = 2 ...............(2)
Equation (2) is solved for y by taking x as the subject:
y = 2 - x
Substitute this value of y in the equation (1):
x² + y² = 9x² + (2 - x)² = 9x² + 4 - 4x + x² = 9
Rearrange the above equation in the standard quadratic form by bringing all terms to one side of the equation:
x² + x² - 4x - 5 = 02
x² - 4x - 5 = 0
This equation is a quadratic equation and can be solved by using the quadratic formula:
x = [-(-4) ± √(-4)² - 4(2)(-5)]/2(2)
x = [4 ± √56]/4
x = [4 ± 2√14]/4
x = [2 ± √14]/2
Substitute these values of x in equation (2) to find the corresponding values of y:
For x = [2 + √14]/2,
y = 2 - [2 + √14]/2
y = (4 - [2 + √14])/2
y = (2 - √14)/2
For x = [2 - √14]/2,
y = 2 - [2 - √14]/2
y = (4 - [2 - √14])/2
y = (2 + √14)/2
Therefore, the solution of the given simultaneous equations is
x = [2 + √14]/2,
y = (2 - √14)/2
OR
x = [2 - √14]/2,
y = (2 + √14)/2
To know more about simultaneous , visit:
https://brainly.com/question/14365907
#SPJ11
For each expression, write an equivalent expression by applying the distributive
property.
3. (x-5)2
Answers
(x-5)2
=(x+-5)(2)
=(x)(2)+(-5)(2)
=2x-10
Please help I’m a bit stuck!!
Answers
Step-by-step explanation:
From n=1, to n=4, plug this in the sigma notation
The first four terms of this series are
-4,-8/3,-16/9,-32/27
b. Since -1<r<1, the series diverge
c. The sum of an infinite geometric series is equal to
\( \frac{a}{1 - r} \)
Where a is the initial value and r is the rate
a=-4
r =2/3
\( \frac{ - 4}{1 - \frac{2}{3} } = \frac{ - 4}{ \frac{1}{3} } = - 12\)
4x/x-5 - 3/x-6 simplify
Answers
Answer
-3
Step-by-step explanation:
x=4
4-5=-1
x=3
3-6=-2
-1+-2=-3
Answer:
-10
Step-by-step explanation:
Please HELP!!
Which linear inequality is represented by the graph
Answers
Answer:
The answer should be y ≤ 1/3x - 1 I believe
The statement says that you’ve triggered the penalty apr so that it has now increased to 28. 99%. What action triggered this?.
Answers
The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.
You failed to make the minimum payment by the due date. This is an action that can result in a message that "you've triggered the Penalty APR so that it has now climbed to 28.99%."
A charge APR is a charge that can be applied if you don't pay your bills on time. It may be set up so that future transactions may be subject to a penalty APR that is higher than the card's standard rate.
If the minimum payment was not made by the due date, Penalty APR would be applied.
But if the card also has a penalty APR and you trigger it, you will likely lose that promotional offer. Federal consumer protections that limit penalty APRs don't apply to small-business credit cards. That means issuers can be more punitive, such as applying penalty APRs sooner than 60 days after not making payments.
Therefore,
The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.
To learn more about information visit Penalty Triggered problems :
brainly.com/question/8215842
#SPJ4
Robin and 2 friends each were able to jump rope for 4 over 5 minute. How long did they jump rope for altogether?
Answers
Robin and 2 friends each jumped rope for 4/5 of a minute. To find the total time they jumped rope altogether, we need to multiply the individual time by the number of participants.
Since Robin and 2 friends each jumped rope for 4/5 of a minute, we can calculate the total time by multiplying the individual time by the number of participants.
Individual time: 4/5 minute
Number of participants: 3 (Robin and 2 friends)
To find the total time, we multiply the individual time by the number of participants:
Total time = (4/5) minute * 3
To multiply fractions, we multiply the numerators and denominators separately:
Total time = (4 * 3) / (5 * 1)
Simplifying the multiplication:
Total time = 12 / 5
Therefore, Robin and 2 friends jumped rope for a total of 12/5 minutes, which can also be expressed as 2 and 2/5 minutes or 2.4 minutes.
Learn more about multiply here: brainly.com/question/23536361
#SPJ11
I need help with this question (with the questions under the equation)
Answers
Option C
\((x-2)^2+(y-2)^2=8_{}\)\(\begin{gathered} r^2=(0-2)^2+(4-2)^2 \\ r^2=(-2)^2+(-2)^2 \\ r^2=4+4\text{ = 8} \end{gathered}\)\(\begin{gathered} \text{Equation of a circle = (x-a)}^2+(y-b)^2=r^2 \\ a=\text{ }\frac{0+4}{2}=\frac{4}{2}=2 \\ b=\frac{4+0}{2}=\frac{4}{2}=2 \end{gathered}\)\(\text{Equation of a circle = (x-2)}^2+^2(y-2)^2=8\)
URGENT HELP NEEDED pls answers these mcqs pls anyone hurry pls
An aero plane left Airport A at 20 30 on Tuesday and arrived at Airport B 19 hours 30 mins later.
At what time did the aero plane arrive at Airport B? *
1 point
22 30
20 00
18 30
16 00
On which day did the aero plane arrive at Airport B? *
1 point
Sunday
Thursday
Wednesday
Friday
Answers
Answer:
16 00 Wednesday (if no change in timezone is considered)
Step-by-step explanation:
hope this helps
Please I’ll mark brainly help fast
Answers
The difference between correlation and causation is that in causation one event is the cause of another, while in correlation the variables are just related.
What is the difference between correlation and causation?These terms show the relationship between two variables; however, the type of relationship is different.
In causation, one variable is the cause and the other is the effect an example would be the number of lemonade cups sold and money collected.
On the other hand, in correlation, the variables are related but one does not cause the other. An example would be height and weight because they both refer to physical traits but ones do not cause the other.
Learn more about correlation in https://brainly.com/question/31588111
#SPJ1
Instructions for a craft project say that the length of a piece of red ribbon should be 7 inches less than the length of a piece of blue ribbon how long is the red ribbon if the length of the blue ribbon is 27 inches
Answers
Answer: 20 inches
Step-by-step explanation:
i need help please find the ans
you will get 15 points if you ans this
Answers
Answer:
the answer is 5 ^_^
Step-by-step explanation:
hopeee it helpss ^_^
Weight of a badminton racket is 0. 950 kg find the weight of 12 such rackets
Answers
The weight of 12 badminton rackets, each weighing 0.950 kg, is 11.4 kg.
The weight of an object refers to the force exerted by gravity on that object. This force is typically measured in units of mass, such as kilograms or pounds. In the case of badminton rackets, the weight is usually measured in grams.
Now, let's consider the weight of a single badminton racket. You've been given the information that the weight of one racket is 0.950 kg. This means that the force exerted by gravity on that racket is 0.950 kg.
If you want to find the weight of 12 such rackets, you need to multiply the weight of one racket by 12. This gives you:
0.950 kg x 12 = 11.4 kg
To know more about weight here
https://brainly.com/question/10069252
#SPJ4
Draw a scaled copy of polygon with the scaled factor of 2
Answers
A scaled copy of polygon with the scaled factor of 2 is Scale factor is defined as
It is a growing organism that falls between (0, infinity). According to the scale factor, an original figure might be either raised or decreased.
Consider two circles that appear to be the same. The word "identical" does not guarantee that both circles are of similar size. They could have various radii. One figure would be the other figure scaled down.
The ideas of ratio and proportion are intimately related to scale considerations. A given amount is multiplied or divided in ratio and proportions to create a new quantity.
A Scaled copy involves multiplying the lengths in the original figure by scale factor.
Here scale factor = 2,
Since the scale factor > 1, so there is an enlargement.
So, the scale copy's sides are 2 times of the sides of figure A.
Take the reference of grid:
To learn more about scaled factor refer the link:
https://brainly.com/question/22312172
#SPJ9
Susan works at the local he make Department store. She makes a 2% commission on all sales. She sells jewelry worth $20,000. What is her commission *
Answers
Answer:
$7.25 is the answer
Step-by-step explanation:
You might need:
Calculator
Problem
The square pyramid shown below has a slant height of
17
1717 units and a vertical height of
15
1515 units.
A square pyramid that has a base with a side length of b units and a vertical height of fifteen units. A right triangle is highlighted in the square pyramid. One leg of the triangle is from the center of the base to the apex of the pyramid. It is the same as the height as the pyramid. The other leg of the triangle is from the center of the base to the edge of the base. It is half the size of the side length of the pyramid. The hypotenuse is the height of one of the triangular faces of the pyramid and is seventeen units.
A square pyramid that has a base with a side length of b units and a vertical height of fifteen units. A right triangle is highlighted in the square pyramid. One leg of the triangle is from the center of the base to the apex of the pyramid. It is the same as the height as the pyramid. The other leg of the triangle is from the center of the base to the edge of the base. It is half the size of the side length of the pyramid. The hypotenuse is the height of one of the triangular faces of the pyramid and is seventeen units.
What is the length of one side of the pyramid's base?
Answers
The length of one side of the pyramid's base is 16 units. To find the length of one side of the pyramid's base, we can use the information given about the right triangle formed within the pyramid.
Let's denote the side length of the base as "b" units. According to the problem, one leg of the highlighted right triangle is from the center of the base to the apex of the pyramid, which is equal to the vertical height of the pyramid, given as 15 units. The other leg is from the center of the base to the edge of the base, and it is half the size of the side length of the pyramid's base, which is b/2 units. The hypotenuse of the right triangle represents the height of one of the triangular faces of the pyramid, given as 17 units.
Using the Pythagorean theorem, we can relate the lengths of the legs and the hypotenuse of the right triangle:
\((leg)^2 + (leg)^2 = (hypotenuse)^2\)
Substituting the given values into the equation, we have:
\((15)^2 + (b/2)^2 = (17)^2\)
Simplifying the equation:
\(225 + (b/2)^2 = 289\)
Subtracting 225 from both sides:
\((b/2)^2 = 289 - 225\)
\((b/2)^2 = 64\)
Taking the square root of both sides:
b/2 = √64
b/2 = 8
Multiplying both sides by 2:
b = 16
For more such questions on right triangle
https://brainly.com/question/29869536
#SPJ8
Twenty people are members of a local bowling club. Eight of them are men. What percentage of the
bowling team are women?
Answers
Answer:
60% of them are women 40% are men
the equations with the equal method value
Answers
Answer:
a. x=2 y=8
Step-by-step explanation:
6x-4=-3x+14 y=6x2-4 12-4=8
9x-4=14
9x=18
x=2
FRACTIONS PLS HELP A 200-carat diamond was cut into two equal pieces to form two diamonds. One of the diamonds was cut again, reducing it by
1/5 its weight. In a final cut, it was reduced by 1/4 its new weight. How many carats remained?
5 carats right???
Answers
Answer: yes its 5 carats
Step-by-step explanation:
⅕ of 100 = 100/5 =20 carats
¼ of 20= 20/4 = 5
So 5 carats
Step by step explanation…
To find 1/5 of 100, you put 100 over 5. (100/1•1/5 simplifies to 100/5) … 100/5 is 20. Next you do the same thing with the 1/4. 20/1•1/5 simplifies to 20/5 which is just five.
Determine the independent and dependent variable from the following situation. Delilah was given $50 for her birthday. Every month she saves $15.
independent variable is?
dependent variable is?
Answers
In the given situation:
The independent variable is: Time or months. Delilah's saving and accumulation of money depend on the passage of time.
The dependent variable is: Amount of money saved. The amount of money Delilah has saved is dependent on the number of months that have passed and her consistent savings of $15 each month.\(\)
PLS ILL GIVE BRAINLY
What is the total surface area of the square pyramid?
48 square meters
64 square meters
76 square meters
88 square meters
Answers
Answer:
Step-by-step explanation:
Isabell, can you see that the sides are 2x6 each? each half of the triangle will make a total rectangle of 2x6 or 12 square meters
there are 4 of those so 48 sq meters plus the base of 4x4 or 16 sq meters
48+16 = 64 square meters total
Answer:
64 meters squared
Step-by-step explanation:
To find the surface area, we need to find the area of all the faces of the shape. We find the area of a triangle with the formula 1/2 x base x height. Since we have a base of 4 and a height of 6 we multiply the numbers together and get 24 then divide by 1/2 which gives us 12. Since there are 4 total triangles, we are going to multiply 12 x 4 which gives us 48. The last face of the triangular prism is the bottom which is a square. The area of a square can be found by multiplying length x width which is 4 x 4 = 16. For the final step we add 48 + 16 = 64.
Can someone help me?
Answers
9514 1404 393
Answer:
15 seconds
Step-by-step explanation:
Put the given heights in the equation and solve for t.
h(t) = -16t² +3600
0 = -16t² +3600 . . . . h(t) = 0 at ground level
16t² = 3600 . . . . . . . add 16t²
t² = 3600/16 = (60/4)² = 15² . . . . . divide by 16
t = 15 . . . . . . . . . . . . take the square root
It will take 15 seconds for the phone to hit the ground.
There are 178 boxes of cookies. In each box, there are 32 cookies. How many cookies are there altogether?
Answers
Answer:
5696 cookies
Step-by-step explanation:
You just need to multiply 178 and 32.
Answer:
5696
Step-by-step explanation:
you just have to multiply 178 by 32
Which line on the graph below has an undefined slope?
Answers
Line R has the undefined slope
Answer:
C/R
Step-by-step explanation:
Mosquitoes are annoying insects. To eliminate mosquito larvae, a certain granular substance can be applied to standing
water in a ratio of 1 tsp per 15 sq ft of standing water.
a. At this rate, find how many teaspoons of granules must be used for 270 sq ft.
b. If 3 tsp = 1 tbsp, how many tablespoons of granules must be used?
a.
teaspoons of granules must be used.
Answers
Answer: a. 18 teaspoons
b. 6 tablespoons
Step-by-step explanation:
a. 1 tsp: 15 sq ft
270 sq ft * 1 tsp/15 sq ft=
270 * 1/15=
270/15=18 teaspoons
b. 3 tsp = 1 tbsp
18 tsp * 1 tbsp/3 tsp=
18 * 1/3=
18/3=6 tablespoons