Justin flips a fair coin 8 times. What is the that he gets an odd amount of probability heads?
Answers
The probability that Justin gets an odd amount of heads when flipping a fair coin 8 times is 1/2 or 50%.
To calculate the probability of getting an odd number of heads when flipping a fair coin 8 times, we can use combinatorics.
The total number of possible outcomes when flipping a coin 8 times is \(2^8\) = 256, as each flip has 2 possible outcomes (heads or tails).
To determine the number of outcomes that result in an odd number of heads, we need to consider the different combinations of heads and tails that would yield an odd sum. An odd number can only be obtained by having an odd number of heads (1, 3, 5, 7) because the number of coin flips is even.
We can break it down as follows:
Number of outcomes with 1 head: C(8,1) = 8
Number of outcomes with 3 heads: C(8,3) = 56
Number of outcomes with 5 heads: C(8,5) = 56
Number of outcomes with 7 heads: C(8,7) = 8
Summing up these possibilities, we get:
8 + 56 + 56 + 8 = 128
Therefore, there are 128 outcomes that result in an odd number of heads out of the total 256 possible outcomes.
The probability of getting an odd amount of heads is given by:
Probability = Number of outcomes with odd heads / Total number of outcomes
Probability = 128 / 256
Probability = 1/2
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Related Questions
HELP ASAP PLS ASAP I ALSO NEED A STEP BY STEP EXPLANATION
Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
Answers
if you add 5 to f(x) it will move up five and become g(x)
F the change in vertical and horizontal distance from (2, 26) to (3, 36). (M3|L8 Eureka Math)
Answers
Therefore , the solution of the given problem of coordinate used √101 units vertical (2, 26) to (3, 36).
How do you use coordinates?A coordinate system is a geometry technique that uses one or more values or coordinates to better be able to monitor points and any other topological entities on a range, such as Euclidean space. A point or object's coordinates on a double planes are a pair of numbers. The x and y values of a point on a 2D plane are two integers that identify its location. a collection of integers that represent exact coordinates Two numbers are normally included in the figure.
Here,
Given :
=> Distance from (2,26) to (3,36)
horizontal and vertical distance
=> ML vertical length
=> ML = √(3-2)² + (36-26)²
=> ML = √1² + 10²
=> ML = √101
and
ML is the value of vertical distance = √101 units
Therefore , the solution of the given problem of coordinate used √101 units vertical (2, 26) to (3, 36).
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Which coordinate is a solution to the linear inequality graphed below?
A) (-2,0)
B) (0-1)
C) (6,7)
D) (-2-3)
Which of the following is the correct equation to the blue line in the graph from number 3?
A) y<2x+1
B) y>2x+1
C) y>1/2x1
D) y<1/2x+1
Answers
Answer:
1) D
2) A
I hope this helps :D
This table gives a few (x,y) pairs of a line in the coordinate plane. х y 34 -52 51 -65 68 -78 What is the y-intercept of the line?
Answers
ANSWER:
The y-intercept is:
\((0,-26)\)STEP-BY-STEP EXPLANATION:
We have to calculate the equation in its slope-intercept form, which is the following
\(\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}\)we calculate the slope with the following formula:
\(m=\frac{y_2-y_1}{x_2-x_1_{}}\)we replace the points (34, -52) and (68, -78)
\(m=\frac{-78-(-52)}{68-34}=\frac{-26}{34}=-\frac{13}{17}\)now, for b, with the point (51, -65)
\(\begin{gathered} -65=-\frac{13}{17}\cdot51+b \\ -65=-39+b \\ b=-65+39 \\ b=-26 \\ \text{Therefore, y-intercept is} \\ (0,-26) \end{gathered}\)Answer:
0, -26
Step-by-step explanation:
khan academy
A spinner has the colors red, blue, and green on it. Maria spins it 30 times, and it lands on red 12 times. What is the experimental probability of spinning a red?
Answers
The probability of spinning a red is 2/5
ProbabilityProbability is the likelihood or chance that an event will occur
Probability = Expected/Total outcomeGiven the following information
Total number of spin = 30 spinNumber of times it lands on red = 12 timesPr(spinning a red) = 12/30
Pr(spinning a red) = 2/5
Hence the probability of spinning a red is 2/5
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rational or irrational? and why
Answers
Answer:
rational, simplified number is -0.5
Step-by-step explanation:
(see screenshot)
Si 8 obreros tejen 12m de tela de 0.5m de ancho por semana. ¿cuantos metros de la misma tela de 0.7m de ancho producen 35 obreros en una semana?
Answers
Resolver la pregunta requeriría el uso de operaciones como suma, multiplicación y división.
35 trabajadores tejerán 73.5 m de una tela de 0.7 m de ancho.
Paso 1: encontramos cuántos metros pueden producir telas de 0.7 m de ancho0.5 m = 12 m
0.7 m =?
Multiplicar cruzada
0.7 m x 12 m / 0.5
= 16.8 m
Por lo tanto, para un material de 0.7 m de ancho, 8 trabajadores pueden tejer 16.8 m de material
Paso 2: Encontramos muchos metros de tejidos de 0.7 m de ancho que 35 trabajadores pueden tejer
8 trabajadores = 16.8 millones
35 trabajadores =?
Multiplicar cruzada
35 trabajadores x 16.8 m / 8
= 73.5 m
Por tanto, 35 trabajadores tejerán 73.5 m de un tejido de 0.7 m de ancho.
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Is this a function?
{(2, 9),(5, 8),(19, 9)}
Answers
Answer:
Yes
Step-by-step explanation:
As long as no x values repeat it is considered a function
In the given set no x values repeat therefore it is a function
Answer:
Yes.
Step-by-step explanation:
Each input has exactly one output. Therefore, this is indeed a function.
Which of the following is true regarding the solutions to the logarithmic equation below?
2log3(x)-4
log2 (x2)-4
x² - 34
32 - 81
x-9-9
OX-9 and X-9 are true solutions
OX-9 and X--9 are extraneous solutions
OX-9 is an extraneous solution and x=-9 is a true solution
OX-9 is a true solution and X-9 is an extraneous solution
Mark this and return
Next
Submit
Answers
Answer:
D.) x = 9 is a true solution and x = negative 9 is an extraneous solution
Step-by-step explanation:
Edge 2021-2022 :)
9 is a true solution and -9 is an extraneous solution
The correct option is 4.
What is an equation?Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations.
As per the given data in the question:
The solutions of the equation \(2\log_3{x} = 4\) are:
\(x = \pm 9\)
To find that which solution is true and which is extraneous:
True Solution: The solution obtained should be inside the domain of the given function.
Extraneous Solution: The solution obtained is outside the domain of the given function.
Domain of the given function log:
[0, ∞)
So, +9 is in the domain and -9 is not in the domain.
Hence, 9 is a true solution and -9 is an extraneous solution
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Plz help I’ll give brainliest
Answers
3. 8
Hope this helps!
Answer: first one 17
second one 8
Step-by-step explanation:
Simplify (4x2 + 9x + 2) + (-2x2 + 2x - 3).
A:2x2+11x+1
B:2x2+11x-1
C:6x2+11x+5
D:6x2+11x-1
Answers
Answer:
6x^2 + 11x -1
Step-by-step explanation:
4x^2 + 9x + 2 + 2x^2 + 2x -3
Add the like terms to get the answer
Saul paid off a loan with a simple interest rate of 4.7% in 9 months. What was the APR?
6.4%
8.5%
3.5%
6.3%
4.7%
Answers
Using proportions, it is found that the APR was of 6.3%.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, 4.7% was paid in interest in 9 months. The APR is the amount that would be paid in a year, that is, 12 months.
Hence, the rule of three is:
9 months - 4.7%
12 months - x%
Applying cross multiplication:
\(9x = 12(4.7)\)
\(x = \frac{12 \times 4.7}{9}\)
\(x = 6.3\)
The APR was of 6.3%.
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working together, greg and cindy can clean the snow from the driveway in 12 minutes. it would have taken cindy, working alone, 20 minutes. how long would it have taken greg alone?
Answers
Answer:
How long would it have taken Greg alone?
4 minutes
Explanation:
If Greg and Cindy cleans the snow in 12 minutes
Then, it would take Cindy 20 minutes to clean it alone.
Therefore, we need to find the amount of time it would take Greg alone to clean the snow.
Let Greg be = x
Let Cindy be = y
x + y = 12 minutes
y= 20 minutes
To find x, we would get 20- 12 = 4 minutes
Therefore, it would take Greg alone 4 minutes to clean the snow from the driveway.
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9. Amando brought in 48 doughnuts to share with everyone in his first class, including one for each of his
four teachers. If he gives everyone in his class 2 doughnuts he will have at least enough doughnuts left for
his teachers. Write an inequality to express this situation. What is the maximum number of students in
Amando's first class?
Answers
The maximum number of students in Amando's first class is 22.
Let x be the number of students in Amando's first class.
He gave each student 2 doughnuts, so he gave out 2x doughnuts in total.
He also gave 1 doughnut to each of his 4 teachers, for a total of 4 doughnuts.
Therefore, he used 2x + 4 doughnuts in total.
He started with 48 doughnuts, so he must have at least 48 - (2x + 4) doughnuts left over for his teachers.
The inequality to express this situation is: 48 - (2x + 4) ≥ 0
Simplifying this inequality, we get: 44 - 2x ≥ 0
Dividing both sides by -2 (and flipping the inequality sign), we get: x ≤ -22
Since x represents the number of students in Amando's first class, we cannot have a negative number of students. Therefore, we must take the maximum value of x that satisfies the inequality, which is x = 22.
So, the maximum number of students in Amando's first class is 22.
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An antique dealer has 24 clock radios to sell at 12 a 12 hour long antique Radio sale use the graph to complete the table why is the sign of a number that is multiplied by hours H negative
Answers
Answer:
R = -H + 24
Step-by-step explanation:
An antique dealer has 24 clock radios to sell 12 at a 12 hour long antique Radio sale
12 radios are sold in 12 Hour
Table
Hours Radio Available Remaining
0 24
2 22
4 20
6 18
8 16
10 14
12 12
Line of equation R = mH + c
R = Radios Available / Remaining to be sold
H = Hours of Sale passed
m = slope of line
c = constant
H = 0 , R = 24
24 = 0 + c
=> c = 24
R = mH + 24
for H =2 R = 22
22 = 2m + 24
=> m = -1
R = -H + 24
As every passing hour he will be able to sell a radio so number of radios available will keep decreasing so there is a sign of - multiplied by H
24 is the radio available at beginning of sale.
if we plot a graph for Radio sold against hours
then equation would be
R = H ( c = 0 as no radio sold at beginning of sale)
Jermaine lives in Los Angeles and his cousin Brandon lives in San Francisco. The two cities are 381 miles apart. They want to meet somewhere in between the two cities. They start at 8:00 am in the morning. Jermaine drives at 67 miles per hour, and David drives at 60 miles per hour. What time will they meet?
Answers
If the two cities are 381 miles apart and speed of Jermaine is 67 miles per hour and the speed of David is 60 miles,then they will meet at 10:46 A.M.
Given that the two cities are at a distance of 381 miles and they start at 8:00 am in the morning.
We are required to find the time at which Jermaine and Brandon.
let the distance that Jermaine covers be x. In this way the distance that is covered is 381-x.
Time=Distance/speed
x/67=(381-x)/60
60x=67(381-x)
60x=25527-67x
137x=25527
x=25527/137
x=186.33
Distance that is covered by Brandon=381-186.33
=144.67 miles
Time taken by David=x/67
=186.33/67
=2.78 hours
We have to break an hour in 78% which is 46.8 minutes.
Actual time=(8+2)hours+46.8 minutes=10:46 A.M.
Hence if the two cities are 381 miles apart and speed of Jermaine is 67 miles per hour and the speed of David is 60 miles,then they will meet at 10:46 A.M.
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What are the difference and similarities between a quadratic function and its transformation?
Answers
But both can have y-intercepts, x-intercepts, and can be graphed on a 2-dimensional plane. However, other than that, there may not be a lot of similarities.
A standard quadratic function is of the form ()=2++
f
(
x
)
=
a
x
2
+
b
x
+
c
and has the shape of a parabola, while a linear function is of the form ()=+
f
(
x
)
=
a
x
+
b
and is just a line.
7.5K viewsView upvotes
2
Related Questions (More Answers Below)
How do you a wrte a letter to the town planner in your local municipality and propose to use a vacant piece of land as a tourism sport for the benefit of the community growth
Answers
Dear [Town Planner's Name],
I hope this letter finds you well. I am writing to propose the utilization of a vacant piece of land in our local municipality as a tourism spot for the benefit of community growth.
By developing this land into an attractive tourist destination, we can boost local businesses and create employment opportunities for the community. This will contribute to the overall economic development and improve the quality of life for residents.
In order to create a successful tourism spot, we need to consider factors such as accessibility, safety, and the provision of necessary amenities for tourists. By partnering with local businesses, we can develop attractive offerings such as guided tours, local cultural experiences, and recreational facilities. This will create a strong synergy between the community and the new tourism spot, ensuring long-term sustainability and growth.
I believe that this initiative will not only benefit our community economically but also help to preserve our local culture and history by showcasing it to visitors from around the world. This, in turn, will foster pride and a sense of ownership among community members.
In conclusion, developing a vacant piece of land as a tourism spot in our local municipality will provide significant benefits for our community's growth. I am confident that with the support of the town planner and the local community, this project will be a resounding success.
Thank you for your consideration, and I look forward to discussing this proposal further.
Sincerely,
[Your Name]
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Para embaldosar un salon de 48 metros cubicos de area se han necesitado 375 tablas rectangulares en las cuales un lado medira 8 cm menos que el otro . Encuentra las dimensiones de las tablas.
Answers
There are 32 students in 6A class and 36 students in 6B class. If Mr. Deveney wants to have the same amount of children in each group, what would be the largest group size that would work for both classes?
A) 32
B) 68
C) 2
D) 4
Answers
Answer:
D) 4
Step-by-step explanation:
32 can be split into
8 groups of 4
36 can be split into
9 groups of 4
I need help fixing this
Answers
Add up the 3 items for subtotal.
Then take that subtotal and multiply by 0.20 (which is the same as 20%). That's your tip.
Add subtotal + tip and there's your total bill.
See attached screenshot.
Hope you have a good afternoon : )
2+2= whattttt someone help
Answers
Answer:
4
Step-by-step explanation:
count with your fingers
Answering just in case this isn’t a joke.
What does the bar in a fraction mean?
Answers
Answer:
A fraction bar separates the numerator and denominator of a fraction. It indicates that a division of the numerator by the denominator will be performed.
Step-by-step explanation:
In math, a fraction bar can be defined as a visual representation of fractions that helps in comparing fractions and carrying out operations with fractions. Fraction bars or fraction strips are a part-to-whole representational model. Each part of a fraction bar represents one unit out of a whole.
Answer:To separate the top and bottom numbers.
Step-by-step explanation:In math, a fraction bar can be defined as a visual representation of fractions that helps in comparing fractions and carrying out operations with fractions.
In ΔMNO, m = 55 inches, n = 48 inches and o=59 inches. Find the measure of ∠O to the nearest 10th of a degree.
Answers
The measure of the angle O is 81.77 degrees.
To find the measure of ∠O, we can use the Law of Cosines, which states that:
\(c^2 = a^2 + b^2 - 2ab*cos(C)\)
where c is the side opposite the angle we want to find (in this case, side o), a and b are the other two sides (in this case, sides m and n), and C is the angle opposite side c (in this case, ∠O).
Substituting the given values, we get:
\(o^2 = m^2 + n^2 - 2mn*cos(O)\)
\(59^2 = 55^2 + 48^2 - 2(55)(48)*cos(O)\\3481 = 3025 + 2304 - 5280*cos(O)\\756 = 5280*cos(O)\\cos(O) = 756/5280\\O = cos^{-1}(756/5280)\\O = 81.77 degrees\)
Therefore, the measure of ∠O to the nearest \(10^{th\) of degree is approximately 81.77 degrees.
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the distribution of the commute times for the employees at a large company has mean 22.4 minutes and standard deviation 6.8 minutes. a random sample of n employees will be selected and their commute times will be recorded. what is true about the sampling distribution of the sample mean as n increases from 2 to 10 ? responses the mean increases, and the variance increases. the mean increases, and the variance increases. the mean increases, and the variance decreases. the mean increases, and the variance decreases. the mean does not change, and the variance does not change. the mean does not change, and the variance does not change. the mean does not change, and the variance increases. the mean does not change, and the variance increases. the mean does not change, and the variance decreases.
Answers
As n increases from 2 to 10, the mean of the sampling hdistribution of the sample mean will increase, while the variance and standard error of the mean will decrease.
As n increases from 2 to 10, the sampling distribution of the sample mean will shift towards the population mean of 22.4 minutes. This is because as n increases, the sample mean becomes a better estimate of the population mean. Therefore, the mean of the sampling distribution will increase.
However, the variance of the sampling distribution will decrease as n increases. This is because the larger the sample size, the more representative the sample is of the population, and thus the less variability there is in the sample means. Therefore, the variance of the sampling distribution will decrease.
It is important to note that the standard error of the mean, which is the standard deviation of the sampling distribution, will also decrease as n increases. This means that as the sample size increases, the sample mean becomes a more precise estimate of the population mean.
In summary, as n increases from 2 to 10, the mean of the sampling distribution of the sample mean will increase, while the variance and standard error of the mean will decrease.
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NO LINKS PLEASE!
54 is equal to 75% of a number n. Write and solve an equation to find n. Write the percent as a decimal.
Answers
Answer:
Set this up as a proportion.
54/n = 75/100
Now solve for n and finish from here.
Can i also have brain or a heart :)
Answer:
x would equal 72
Step-by-step explanation:
you can find a percent but there is already a percent showing. So the answer should be 72.
When you're trying to find the answer to these problems you should check if there is a percent part and whole. In this question, there is already a percent and a part so you would just try to find the whole.
lucy wanted to water her garden of tulips her garden is 3 ft long and 6 ft wide if her garden has a volume of 54 cubic feet what is the height of her garden
Answers
Answer:
So the answer would be 9
Step-by-step explanation:
3*6=9
Sam is fishing in a new catch and release pond that was just stocked with 3
bluegill, 4 catfish, 7 bass, and 2 carp. He catches a fish, releases it, then
catches another. What is the probability that he caught a bluegill, then a carp?
Answers
The probability that Sam catches a bluegill, then a carp is 1/40.
The probability of catching a bluegill on the first try is 3/16, since there are 3 bluegills in the pond out of a total of 16 fish. Once Sam releases the first fish, there are 15 fish left, and 2 of them are carp. Therefore, the probability of catching a carp on the second try is 2/15.
To find the probability of both events occurring together (catching a bluegill and then a carp), we need to multiply the probabilities of each event. So the probability of catching a bluegill, then a carp is
P(bluegill and then carp) = P(bluegill) x P(carp | bluegill not caught)
We use "bluegill not caught" in the second event to indicate that the pond has one less fish after the first event, and we can't assume that the first fish is still in the pond.
P(bluegill and then carp) = (3/16) x (2/15)
P(bluegill and then carp) = 1/40
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I need help finding the difference between 3/4-1/3
Answers
Answer:5/12
Step-by-step explanation:
Find the volume of the following cubes: (b) 15 m 18.4 ft Find the volume of each of cubes whose a side length is given as: (b) (c) 5.6 ft (f) 12 m 80 cm (a) 5 cm (d) 4.5m Solve (e) (c) 4.2 inch 4 m 20 cm
Answers
Answer:
Step-by-step explanation:
Nancy Pelosi's Husband Found Drugs in His System after D.U.I. Arrest: Kill His Elder Brother : Other "past Skeletons in Closet" Exposed.
Paul Pelosi, the husband of US House Speaker Nancy Pelosi, was found to have drugs in his system during his drink-driving arrest in May, Fox News reported on Tuesday, citing a court document.
Paul Pelosi was slurring and unsteady on his feet as he spoke to police officers and tried to show them a membership card for a foundation that has long provided money to local police officers and their children.
According to Fox News, the Napa County District Attorney's Office in California said on Monday that Paul Pelosi, the husband of House Speaker Nancy Pelosi, will be arraigned on Wednesday morning. The charges are driving under the influence and causing injury while driving with a blood-alcohol level of 0.08 percent or higher.
Answer:
Step-by-step explanation:
Nancy Pelosi's Husband Found Drugs in His System after D.U.I. Arrest: Kill His Elder Brother : Other "past Skeletons in Closet" Exposed.
Paul Pelosi, the husband of US House Speaker Nancy Pelosi, was found to have drugs in his system during his drink-driving arrest in May, Fox News reported on Tuesday, citing a court document.
Paul Pelosi was slurring and unsteady on his feet as he spoke to police officers and tried to show them a membership card for a foundation that has long provided money to local police officers and their children.
According to Fox News, the Napa County District Attorney's Office in California said on Monday that Paul Pelosi, the husband of House Speaker Nancy Pelosi, will be arraigned on Wednesday morning. The charges are driving under the influence and causing injury while driving with a blood-alcohol level of 0.08 percent or higher.
The district attorney said the misdemeanor charges against Paul Pelosi were filed "based on the extent of the injuries sustained by the victims."
Us media said that either Paul Pelosi or his lawyer would enter a plea at his arraignment on Wednesday. According to the Napa County District Attorney's Office, misdemeanor penalties for driving while intoxicated and causing injury include up to five years of probation, a minimum of five days in jail, a fine, completion of a court-ordered DUI course, and more.
After her husband s car accident, the US media reported that her brother was killed in a car collision when she was still a teenager. In 1957, Paul reportedly crashed his car near SAN Mateo County at 16. Paul suffered a broken collarbone in the crash, while his elder brother was pronounced dead on arrival at the hospital. Paul, then 16, was acquitted by a jury.
His past skeletons in closet don't stop there. Public data shows that Nancy Pelosi has more than $114 million net worth. Reports indicate that much of that comes from Mr. Paul's holdings of stocks, options, and investments.
