R = { ( 3, 1 ), (4, 1), (4, 2) } is the ordered pairs in the relation r = {(x, y) | x > y} on the set a = {1, 2, 3, 4}.
A set with ordered pairs is any pair of elements that are wrapped in brackets & exist in a specific sequence. If there are two main components, "a" and "b," the two distinct pairings are "(a, b)" (b, a). A is referenced to as the first element and B is referenced to as the second element in an ordered pair (a, b).
R's real number set should be selected in a way that,
R = { (x,y) | x > y + 1} on the set {1, 2, 3, 4}
The relationship's ordered pairs may then be calculated as follows:
R = { ( 3, 1 ), (4, 1), (4, 2) }
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Chang rented some movies and video games last month. He did the same this month. The table below shows the number of movies and video games he rented each month. It also shows the total cost (in dollars).
Number of movies
Number of video games
Total cost (in dollars)
Last month
5
3
24
This month
2
12
69
Let x be the cost (in dollars) of renting a movie.
Let y be the cost (in dollars) of renting a video game.
(a) Write a system of equations that could be used to find the rental cost (in dollars) for each movie and each video game.
【x+ロッ=ロ
Dx+Dy =ロ
(b) How much did it cost (in dollars) to rent each movie and each video game?
Rental cost for each movie: $
Rental cost for each video game: S
A system of equations that could be used to find the rental cost (in dollars) for each movie and each video game are:
5x + 3y = 24
2x + 12y = 69
Rental cost for each movie is $1.5
Rental cost for each video game is: $5.5
How to write the required system of linear equations?In order to write a system of linear equations to describe this situation, we would assign variables to the cost (in dollars) of renting a movie and a video game respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the cost (in dollars) of renting a movie.Let the variable y represent the cost (in dollars) of renting a video game.Based on the table of values, a system of linear equations that could be used to find the rental cost for each movie and each video game include:
5x + 3y = 24
2x + 12y = 69
In this scenario, we would use an online graphing calculator to plot the system of linear equations in order to determine the solution as shown in the graph attached below.
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One number is 19 greater than the other, the sum of these numbers is 97. What is the greater number?
Answer:
Greater number = 58
Step-by-step explanation:
The equation is,
→ (x + 19) + x = 97
Now the value of x will be,
→ (x + 19) + x = 97
→ 2x = 97 - 19
→ x = 78/2
→ [ x = 39 ]
Then the greater number is,
→ x + 19
→ 39 + 19 = 58
Hence, the answer is 58.
Answer:
58
Step-by-step explanation:
first number=x
second number= x+19
x+x+19= 97
thus, the two numbers are 39 and
Select the letter of the correct answer *
Solve for x.
A)-9
B) 4
C)2
D) 11
E) -6
Answer:
51x-2=100
51x=102
x=2
So C is the answer
Answer:
C
Step-by-step explanation:
since the 2 lines are parallel, the angles with the intercepting line must be the same.
and the angles around the intercepting point are mirroring each other above and below the line.
so,
51x - 2 = 100
51x = 102
x = 2
A 16-ounce carton of milk costs 63 cents, while a half-gallon jug of milk sells for $\$2.24$. How much more expensive, in cents per quart, is the carton of milk compared to the half-gallon jug of milk
To compare the prices of the milk carton and the half-gallon jug in cents per quart, we need to convert both quantities to quarts and then calculate the difference in price. The carton of milk is 14 cents more expensive per quart compared to the half-gallon jug.
1 gallon = 4 quarts
Therefore, a half-gallon is equal to 2 quarts.
To convert the price of the milk carton to cents per quart, we can set up the following proportion:
Price of the milk carton / Quantity of milk carton in quarts = Price per quart
Price of the milk carton = 63 cents
Quantity of milk carton in quarts = 16 ounces * (1 quart / 32 ounces) = 0.5 quarts
Price per quart of the milk carton = 63 cents / 0.5 quarts = 126 cents/quart
To convert the price of the half-gallon jug to cents per quart, we use the same proportion:
Price of the half-gallon jug / Quantity of half-gallon jug in quarts = Price per quart
Price of the half-gallon jug = $2.24 = 224 cents
Quantity of half-gallon jug in quarts = 2 quarts
Price per quart of the half-gallon jug = 224 cents / 2 quarts = 112 cents/quart
Now we can calculate the difference in price per quart:
Difference in price per quart = Price per quart of the milk carton - Price per quart of the half-gallon jug
Difference in price per quart = 126 cents/quart - 112 cents/quart
Difference in price per quart = 14 cents/quart
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find the 19 term of the following AP 7, 13, 19, 25
Answer:
a=7, d=13-7=6, n=19
an = a + (n-1)d
a19 = 7 + (18)6
=7 + 108
=115
115 is the 19th term of the given AP
What is the length of the shortest altitude in a triangle, if the lengths of the sides are 24 cm, 25 cm, 7 cm?
Answer:
The shortest altitude is 6.72 cm
Step-by-step explanation:
Given that the side lengths are
24 cm, 25 cm, 7 cm
The area of a triangle =
\(A = \sqrt{s \cdot (s-a)\cdot (s-b)\cdot (s-c)}\)
Where;
s = Half the perimeter = (24 + 25 + 7)/2 = 28
A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²
We note that 84/7 = 12
Therefore, the triangle is a right triangle with hypotenuse = 25, and legs, 24 and 7, the height of the triangle = 7
To find the shortest altitude, we utilize the formula for the area of the triangle A = 1/2 base × Altitude
Altitude = A/(1/2 ×base)
Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;
We set the base to 25 cm to get;
Area of the triangle A = 1/2 × base × Altitude
84 = 1/2 × 25 × Altitude
Altitude = 84/(1/2 × 25) = 6.72 cm
The shortest altitude = 6.72 cm.
If f(x) takes on both positive and negative values, what is the geometric interpretation of a riemann sum? illustrate with a diagram.
The area being measured will not match the Riemann sum. By employing ever smaller forms to divide the area more precisely, this mistake can be minimized. The sum approaches the area as the shapes become ever-smaller.
What is Riemann sum ?A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.
A is the area under the curve on the interval being evaluated, f(xi) is the height of each rectangle (or the average of the two heights in the case of a trapezoid), and x is the width of each rectangle or trapezoid. This formula is known as the Riemann sum.Each rectangle in a right Riemann sum has a height equal to the value of the function at the right end of its base. Each rectangle's height in a midpoint Riemann sum is equal to the function's value at the midpoint of its base.To know more about Riemann sum please click here ; https://brainly.com/question/9043837
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10+(-3.5) times 2+(-9) divided by (-3)
Answer:
6
Step-by-step explanation:
hope it helped<3
Find the indicated measure. Round answers to the nearest hundredth.
Directions: Use the ruler to measure the line segments.
The length of each line a , b and C are 0.1875, 0.5625 and 1 inch(es) respectively
From the measuring rule given ;
Each successive tick marks is (1/16) = 0.0625 inchesTherefore, using the value per tick value calculated above , we can deduce the length of the each line.
The measure of 'a':
3 ticks * 0.0625 = 0.1875 inchesThe measure of 'b':
9 ticks * 0.0625 = 0.5625 inchesThe measure of 'c':
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3v(3v-2)-(3v-2)Help me factor this please. I know the answer, I want an explanation of how.
We have the following expression
\(3v(3v-2)-(3v-2)\)we have 2 terms, one of them is
\(3v(3v-2)\)and the other one is
\(-(3v-2)\)We can note that (3v-2) is repeated on both terms, so we can factorize (3v-2) in both terms, which gives
so this equivalent to:
therefore, the answer is:
\((3v-2)(3v-1)\)Will mark Brainlyist I need help ASAP
last week, the price of oranges at the farmers market was $1.75 per pound. this week there were decreased by 20%. what are the prices of oranges this week?
During a scuba dive, Lainey descended to a point 26 feet below the ocean surface. She continued her descent at a rate of 26 feet per minute. Enter an inequality you could solve to find the number of minutes she can continue to descend if she does not want to reach a point more than 78 feet below the ocean surface. Use t to represent the variable for the minutes Lainey can continue to descend.
Answer:
t ≤ 2
Step-by-step explanation:
Given that:
Initial Position = - 26 feets (below surface)
Descent rate = 26 feets per minute
Maximum depth = 78 feets
Let t = number of minutes
Hence,
Initial position + (descent rate * number of minutes) ≤ - 78
-26 + (- 26t) ≤ - 78
-26t ≤ - 78 + 26
-26t ≤ - 52
t ≤ 52/26
t ≤ 2
how to convert pennies to nickels dimes and pennis c
To convert pennies to nickels, dimes, and quarters, you need to divide the number of pennies by the value of each coin.
The value of a nickel is 5 cents, a dime is 10 cents, and a quarter is 25 cents.
Here's an example of how to convert 100 pennies to nickels, dimes, and quarters:
Nickels: 100 pennies / 5 cents/nickel = 20 nickels
Dimes: 100 pennies / 10 cents/dime = 10 dimes
Quarters: 100 pennies / 25 cents/quarter = 4 quarters
So, 100 pennies can be converted into 20 nickels, 10 dimes, and 4 quarters.
Correct Question :
How to convert pennies to nickels dimes and quarters?
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(1) Using the Black/Scholes Option Pricing Model, calculate the value of the call option given: S=74; X=70;T=6 months; σ2=.50 Rf=10% (2) What is the intrinsic value of the call? (3) What stock price is necessary to break-even? 4 If volatility were to decrease, the value of the call would (5 If the exercise price would increase, the value of the call would ? 6 If the time to maturity were 3-months, the value of the call would ? 77 If the stock price were $62, the value of the call would ? 8 What is the maximum value that a call can take? Why?
(1) Using the Black/Scholes Option Pricing Model, the value of the call option is $7.70.
(2) The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.
(3) The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.
(4) If volatility were to decrease, the value of the call would decrease.
(5) If the exercise price would increase, the value of the call would decrease.
(6) If the time to maturity were 3-months, the value of the call would decrease.
(7) If the stock price were $62, the value of the call would be zero.
(8) The maximum value that a call option can take is unlimited.
In the Black/Scholes option pricing model, the value of a call option can be calculated using the formula:
C = S*N(d1) - X*e^(-rT)*N(d2)
where S is the stock price, X is the exercise price, r is the risk-free rate, T is the time to maturity, and σ2 is the variance of the stock's return.
Using the given values, we can calculate d1 and d2:
d1 = [ln(S/X) + (r + σ2/2)T]/(σ2T^(1/2))
= [ln(74/70) + (0.10 + 0.50/2)*0.5]/(0.50*0.5^(1/2))
= 0.9827
d2 = d1 - σ2T^(1/2) = 0.7327
Using these values, we can calculate the value of the call option:
C = S*N(d1) - X*e^(-rT)*N(d2)
= 74*N(0.9827) - 70*e^(-0.10*0.5)*N(0.7327)
= $7.70
The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.
The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.If volatility were to decrease, the value of the call would decrease. This is because the option's value is directly proportional to the volatility of the stock.
If the exercise price would increase, the value of the call would decrease. This is because the option's value is inversely proportional to the exercise price of the option.
If the time to maturity were 3-months, the value of the call would decrease. This is because the option's value is inversely proportional to the time to maturity of the option.If the stock price were $62, the value of the call would be zero. This is because the intrinsic value of the call is zero when the stock price is less than the strike price.
The maximum value that a call option can take is unlimited. This is because the value of a call option is directly proportional to the stock price. As the stock price increases, the value of the call option also increases.
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Which tatement correctly compare the meaure of center of the data in the dot plot
A statement that correctly compares the measures of center in the two sets of data is: Both the mean and median are greater for Plot A than for Plot B.
The correct answer is an option (A)
Consider plot A.
The data value represented on the dot plot:
3, 4, 4, 5, 5, 6, 6, 7, 7, 10
Using the formula of mean, the mean of Plot A would be:
mean = (3 + 4 + 4 + 5 + 5 + 6 + 6 + 7 + 7 + 10) / 10
mean = 57/10
mean = 5.7
The middle value of the data is: 5, 6
So, the median is:
Median = (5 + 6)/2
= 11/2
= 5.5
Consider plot B.
The data value represented on the dot plot:
3, 4, 4, 5, 5, 5, 6, 6, 6, 7
mean = (3 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7)/10
mean = 51/10
mean = 5.1
The middle value of the data is: 5, 6
So, the median is:
Median = (5 + 5)/2
= 5
Hence, both the mean and median are greater for Plot A than for Plot B.
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The complete question is:
Which statement correctly compares the measures of center in the two sets of data? Both the mean and median are greater for Plot A than for Plot B. Both the mean and median are greater for Plot B than for Plot A. Plot A has a greater median than Plot B, but Plot B has a greater mean. Plot B has a greater median than Plot A, but Plot A has a greater mean.
when a certain stretch of highway was rebuilt and straightened, the distance along the stretch was decreased by 20 percent and the speed limit was increased by 25 percent. by what percent was the driving time along this stretch reduced for a person who always drives at the speed limit?
The driving time along this stretch was reduced by 36% for a person who always drives at the speed limit.
To calculate the percent reduction in driving time along the stretch, we need to consider the effects of both the distance decrease and the speed increase.
First, let's assume the original distance of the stretch was D. After the reconstruction, the distance is now 0.8D (since it was decreased by 20%).
Next, let's assume the original speed limit was S. After the reconstruction, the speed limit is now 1.25S (since it was increased by 25%).
To calculate the original driving time along the stretch, we would use the formula: time = distance / speed. So the original driving time would be D/S.
After the reconstruction, the driving time would be (0.8D) / (1.25S) = 0.64D/S.
To calculate the percent reduction in driving time, we can use the formula: (original time - new time) / original time * 100%.
Plugging in the values we calculated, we get:
(original time - new time) / original time * 100% = (D/S - 0.64D/S) / (D/S) * 100% = 36%.
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Using a standard deck of 52 cards, what is the probability that a
randomly dealt 6-card hand contains all hearts?
The probability that a randomly dealt 6-card hand contains all hearts is approximately 0.0000844, or about 0.00844%.
To calculate the probability of a randomly dealt 6-card hand containing all hearts, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Favorable outcomes: A 6-card hand containing all hearts consists of 6 hearts from the deck.
There are 13 hearts in a standard deck of 52 cards, so we can choose 6 hearts from the 13 available. This can be calculated using combinations:
Number of favorable outcomes = C(13, 6) = 13! / (6! × (13 - 6)!) = 13! / (6! × 7!) = 1716
Total number of possible outcomes: The total number of 6-card hands that can be dealt from a standard deck of 52 cards is C(52, 6):
Number of possible outcomes = C(52, 6) = 52! / (6! × (52 - 6)!) = 52! / (6! × 46!) = 20358520
Therefore, the probability of a randomly dealt 6-card hand containing all hearts is:
Probability = Number of favorable outcomes / Number of possible outcomes = 1716 / 20358520 ≈ 0.0000844
So, the probability is approximately 0.0000844, or about 0.00844%.
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CAN SOMEONE CHECK MY ANSWERS FOR ME RQ?
1. Addition:
a. x - 5 = 10
b. s - 4 = 6
c. y - 11 = 24
d. t - 8 = 9
2. Subtraction:
a. x + 2 = 10
b. s + 4 = 6
c. y + 17 = 24
d. t + 3 = 118
3. Multiplication
a. 1/5 x = 10
b. 1/2 s = 8
c. 1/2 t = 6
d. 1/4 y = 20
4. Division
a. 4x = 36
b. 13x = 52
c. 5x = 25
d. 10x = 120
5. Mixed Practice
a. x + 9 = 7
b. 23 - y = 44
c. s + 19 = 26
d. m - 40 = 20
e. z + 100 = 100
f. x + 22 = 23
g. s - 4 = 96
h. 1/4 x = 4
i. 24x = 3
j. 1/10 x = 50
k. 1/11y = 33
l. t + 14 = 16
m. t - 1 = 16
n. 1/2 q = 8
o. 15t = 24
My answers:
1.
A.15
B.10
C.35
D.17
2.
A.8
B.2
C.7
D.115
3.
A.50
B.16
C.12
D.80
4.
A.9
B.4
C.5
D.12
5.
A.-2
B.-21
C.7
D.60
E.0
F.1
G.100
H.16
I.1/8
J.500
K.636
L.2
M.17
N.16
O.8/5
Answer:
All looks good but Problem 5 K
363
Step-by-step explanation:
33 x 11 = 363
Answer: I only saw one mistake. On your mixed practice, K is wrong. It is 363, not 636.
hope this helps!
please give brainliest!
solve for x 7x-3=5x+5=
Answer:
x=4
Step-by-step explanation:
7x-3=5x+5
2x-3=5
2x=8
x=4
The value of x in the expression 7x-3=5x+5 is 4
Given
7x-3=5x+5
Here,
The equation is linear in variable x .
7x-3=5x+5
7x - 5x - 3 = 5
2x-3=5
2x = 5 + 3
2x=8
x = 8/2
x=4
Thus the value of x is 4 .
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46= 4x - 6 help me ok
Step-by-step explanation:
a little messy but hope it helps :)) !!
Answer:
x = 13
Step-by-step explanation:
Solving for X:
46 = 4x-6
46 + 6 = 4x
52 = 4x
52/4 = 4x/4
x = 13
what should you do next? what should you do next? come up with a theory to explain why movie preference is related to birth week. perform experiments to test your hypothesis. propose several alternative hypotheses. refine your hypothesis.
To develop a theory on the relationship between birth week and movie preference, the next steps would be to:
Conduct research to gather existing information on the topic and identify any potential gaps in knowledge.Develop a hypothesis that explains the potential relationship between birth week and movie preference.Design and conduct experiments to verify the hypothesis.Analyze the results of the experiments and use them to support or refute the hypothesis.Propose alternative hypotheses and design additional experiments to test them.Refine the original hypothesis based on the results of the experiments and continue to test it through further research.To know more about hypothesis refer to:
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What value(s) for n will make this equation true?
Answer:
B
Step-by-step explanation:
It the only one that make sense
The following table shows the number of candy bars bought at a local grocery store and the
total cost of the candy bars:
Candy Bars: 3, 5, 8, 12, 15, 20, 25
Total Cost: $6.65, $10.45, $16.15, $23.75, $29.45, $38.95, $48.45
If B represents the number of candy bars purchased and C represents the total cost of the candy bars, write the linear model that models the cost of any number of candy bars.
The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95
To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.
Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.
To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.
First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):
m = (C2 - C1) / (B2 - B1)
= ($48.45 - $6.65) / (25 - 3)
= $41.80 / 22
≈ $1.90
Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):
b = C - mB
= $6.65 - ($1.90 * 3)
= $6.65 - $5.70
≈ $0.95
Therefore, the linear model that represents the cost of any number of candy bars can be written as:
C = $1.90B + $0.95
This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.
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please help this 2 sums
Answer:
Step-by-step explanation:
Sin (A + B) = Sin A *Cos B + Cos A *Sin B
Sin 75 = Sin (30 + 45)
= Sin 30 * Cos 45 + Cos 30 * Sin 45
\(= \dfrac{1}{2}*\dfrac{1}{\sqrt{2}}+\dfrac{\sqrt{3}}{2}*\dfrac{1}{\sqrt{2}}\\\\\\= \dfrac{1}{2\sqrt{2}}+\dfrac{\sqrt{3}}{2\sqrt{2}}\\\\= \dfrac{1+\sqrt{3}}{2\sqrt{2}}\)
Will Luke pass the quiz? Luke's teacher has assigned each student in his class
an online quiz, which is made up of 10 multiple-choice questions with 4 options
each. Luke hasn't been paying attention in class and has to guess on each
question. However, his teacher allows each student to take the quiz three times
and will record the highest of the three scores. A passing score is 6 or more
correct out of 10. We want to perform a simulation to estimate the score that Luke
will earn on the quiz if he guesses at random on all the questions.
a. Describe how to use a random number generator to perform one trial of the
simulation
The dotplot shows Luke's simulated quiz score in 50 trials of the simulation.
Simulated quiz score
Starnes & Tabor, The Practice of Statistics, 6e, o 2018
Bedford, Freeman & Worth High School Publishers
b. Explain what the dot at 1 represents.
c. Use the results of the simulation to estimate the probability that Luke passes
the quiz
d. Doug is in the same class and claims to understand some of the material. If he
scored 8 points on the quiz, is there convincing evidence that he understands
some of the material? Explain your answer.
Simulation shows Luke's quiz score in 50 trials with a minimum passing score of 6. Probability of passing is about 0.1. Strong evidence that Luke understands some material as getting a score of 8 by guessing is highly unlikely.
Step 1: The teacher plans to give a multiple-choice test consisting of 10 questions with four answer options each. To conduct one trial of the simulation, a random number generator will be used. To pass the test, the student needs to answer at least six questions correctly. Since each question has four options, the probability of guessing the correct answer is one out of four. To simulate guessing, ten numbers will be generated between one and four, where one represents a correct answer and 2, 3, 4 represent incorrect answers.
Step 2: The dot plot provided illustrates the simulated quiz score of Luke through 50 trials. Each dot on the plot corresponds to a single trial. One dot, specifically the one located at 1, represents a simulated quiz score of one. This implies that in one of the simulation trials, Luke answered only one out of ten questions correctly.
Step 3: We must determine the likelihood of Luke passing the quiz, which contains 10 multiple-choice questions with four answer choices each, requiring a minimum of 6 correct answers to pass. In the dot plot depicting 50 trials of the simulation, the dots represent the quiz score, and 5 of the 50 trials resulted in a score of 6 or more. Thus, the probability of Luke passing the quiz is approximately 0.1 or 1/10.
Step 4: We need to determine whether there is sufficient evidence to support the claim that Doug has an understanding of some of the material.
Step 5: The dot plot displays the simulated quiz score over 50 trials when a person is guessing the answers to the questions. We can infer that it is highly improbable to obtain a quiz score of at least 8 by randomly guessing, as there are no dots above or to the right of 8 on the plot. This suggests that there is compelling evidence that the person understands some of the subject matter, as it is unlikely that they guessed correctly on all questions.
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The missing figure is in the image attached below
El Joan ha comprado 3 kg de naranjas en la mañana y 5 kilos en la tarde cuanto a pagado por todas las naranjas si un kilogramo le ah costado 2 euros
According to the question El Joan ha comprado 3 kg de naranjas en la mañana y 5 kilos Joan has paid 16 euros for all the oranges.
To find out how much Joan has paid for all the oranges, we need to calculate the total cost by multiplying the total weight of oranges by the cost per kilogram.
In the morning, Joan bought 3 kg of oranges, so the cost of the oranges in the morning is 3 kg * 2 euros/kg = 6 euros.
In the afternoon, Joan bought 5 kg of oranges, so the cost of the oranges in the afternoon is 5 kg * 2 euros/kg = 10 euros.
To find the total cost, we add the cost of the oranges in the morning and the cost of the oranges in the afternoon:
Total cost = Cost of morning oranges + Cost of afternoon oranges
= 6 euros + 10 euros
= 16 euros
Therefore, Joan has paid 16 euros for all the oranges.
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How long would it take for a car to travel a distance of 200 kilometers if it is traveling at a speed of 55 km/hr? *
Answer:
3.63 i think
Step-by-step explanation:
Answer:
3.6
Step-by-step explanation:
flipping a fair two-sided coin, the probability of getting heads is equal to the probability of getting tails. if the coin is flipped three times consecutively, what is the probability of getting heads at least twice?
The probability of getting heads at least twice is 0.5
Since we are given two-sided coin, where the probability of getting heads is equal to the probability of getting tails.NO of outcomes in this case is 2,The probability of getting a head = 1/2, similarly probability of getting a tail is =1/2 .So when a coin is flipped three times, the sample space for the event will be (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT), H stands for head and T stands for tails, here for tossing the coin the number of outcomes is 8 .So the probability of getting at least two heads is: 4/8= 1/2 =0.5
To know more about probability refer to the link brainly.com/question/11234923
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