Answer:
A 6-sided shape is a hexagon.
let w be a random variable giving the number of minus the number of in three tosses of a coin. assuming that a is as likely to occur, find the probability distribution of the random variable w.
The stochastic process w's probability density function will look like this; W = 3: P(HHH) = (2/3)3 = 8/27
P(HHT) + P(HTH) + P(THH) = 3(2/3)2(1/3) = 12/27 = 4/9 W = 2
P(HTT) + P(THT) + P(TTH) = 3(2/3)(1/3) when W = 1.
3 = 6/27 =2/9
W = 0: P(TTT) = (1/3)
3 = 1/27
How does one calculate the probability of a random vector?
Step 1: Create a list of all simple events in the sample space. Step 2: Determine the likelihood of each simple event. Step 3: Determine the value with each simple event by listing all unique combinations for random variable X. Step 4: For each possible value of k, find all simple occurrences for which X = k.
When three coins are tossed at the same time, what is the likelihood of getting all heads?
When three coins are tossed, the positive outcome is HHH. As a result, the required probability equals 1/8.
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3.8 Thabo kept a diary of his activities during the week. He then drew up a table to show an average day. Look at his table Activity Sleeping At school PS Doing homework Playing sport Watching TV Eating Time 8 hours 7 hours 1 hour 2 hours 4 hours 2 hours a. What is the ratio of the time spent doing homework to the time spent at school? (1)
The ratio of the time Thabo spent doing homework to the time he spent at school is 2:7.
What is the ratio?Ratio refers to the relative size of a quantity compared to another.
Ratios are expressed as percentages, from 0% to 100%, as fractions, as proportions or decimals, from zero to one, and in ratio forms (:).
To compute the ratio as a decimal, it is the quotient of one quantity and another comparative quantity.
Activity Time
Sleeping 8 hours
At school 7 hours
Doing homework 2 hours
Playing sport 4 hours
Watching TV 2 hours
Eating 1 hour
Total hours = 24 hours
Ratio of time doing homework to the time spent at school = 2:7
The sum of ratios = 9 (2 + 7)
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The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5. 50 and each adult ticket sells for $7. 50. The auditorium can hold a maximum of 140 people. The drama club must make at least $910 from ticket sales to cover the show's costs. If 66 student tickets were sold, determine the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses
The drama club must sell at least 73 adult tickets in addition to the 66 student tickets in order to meet the show's expenses.
Let's start by using algebra to solve the problem. Let x be the number of adult tickets sold. Then, we can write the following equation for the total ticket sales:
5.50(66) + 7.50x = total ticket sales
We know that the drama club must make at least $910 from ticket sales, so we can write:
5.50(66) + 7.50x ≥ 910
Multiplying out the first term and subtracting 363 from both sides, we get:
7.50x ≥ 547
Dividing both sides by 7.50, we get:
x ≥ 72.93
Since we can't sell a fraction of a ticket, the drama club must sell at least 73 adult tickets to meet the show's expenses. Therefore, the minimum number of adult tickets the drama club must sell is 73.
In conclusion, the drama club must sell at least 73 adult tickets in addition to the 66 student tickets in order to meet the show's expenses.
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A man bought a tablet at a discount of 30% thus saving 42$. What was the marked price of the table?
Answer: 140 dollars
Step-by-step explanation:
0.3x=42 x=140
What is infinite algebra 1?
Infinite Algebra 1 is a software program developed by the company Kuta Software that provides an online resource for teaching and learning algebra 1.
It offers a comprehensive collection of algebra 1 problems and exercises that cover a wide range of topics such as linear equations, systems of equations, inequalities, polynomials, factoring, and graphing.
The program includes features such as an interactive equation editor, step-by-step solutions, and the ability to generate customized worksheets and assessments.
It is designed to provide students with a self-paced and adaptive learning experience that allows them to practice and reinforce their understanding of algebraic concepts. Infinite Algebra 1 is widely used in schools and educational institutions as a tool for teaching and practicing algebra 1.
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pls help I need this by the end of today
The function representing the price for one dog to be trained in t years is option C: P(t) = [tex]2750(0.2)^t.[/tex]
Describe Function?In mathematics, a function is a relation between two sets of values, where each input value from the first set (called the domain) corresponds to exactly one output value in the second set (called the range). The output value of a function is determined by its input value and any relevant rules or formulas.
Formally, a function can be defined as follows: Let X and Y be two non-empty sets. A function f from X to Y is a rule or formula that assigns to each element x in X a unique element y in Y, denoted by f(x), such that for any two elements x1 and x2 in X, if x1 = x2, then f(x1) = f(x2). The set X is called the domain of the function, and the set Y is called the codomain or range of the function.
Functions can be represented graphically, algebraically, or in tabular form. The graph of a function shows how the output value of the function varies with the input value, and can be used to visualize the behavior of the function. The algebraic representation of a function can be given by a formula or equation that expresses the output value in terms of the input value. A tabular representation of a function shows the input-output pairs in a table.
Functions are used in many areas of mathematics, science, engineering, and economics to model and describe relationships between variables. They are also used in practical applications, such as in computer programming, where they are used to define algorithms and data structures.
The total income is earned from training 400 dogs, so the price for one dog to be trained is the total income divided by the number of dogs trained:
P(t) = M(t) / D(t)
Substituting D(t) and M(t), we get:
P(t) =[tex](1100000(0.02)^t) / (400(0.1)^t)[/tex]
P(t) = [tex]2750(0.2)^t[/tex]
Therefore, the function representing the price for one dog to be trained in t years is option C: P(t) = [tex]2750(0.2)^t.[/tex]
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Please help , I do not understand this at all
The frequency of the sine function is given as follows:
F = 0.5/π Hz.
How to obtain the frequency of a sine function?The standard definition of the sine function is given as follows:
y = Asin(B(x - C)) + D.
For which the parameters are given as follows:
A: amplitude.B: the period is 2π/B.C: phase shift.D: vertical shift.For the function y = sin(x), we have that B = 1, hence the period is given as follows:
P = 2π/B
P = 2π.
The frequency is one divided by the period, hence:
F = 1/P
F = 1/2π
F = 0.5/π Hz.
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Answer:
[tex]F=\dfrac{1}{2\pi}\; \sf Hz[/tex]
Step-by-step explanation:
The frequency of a sinusoidal wave refers to the rate at which the wave completes one full cycle, typically measured in Hertz (Hz), where 1 Hz signifies one complete oscillation of the wave in one second.
The period of a sinusoidal wave is the amount of time it takes for the wave to complete one complete oscillation.
The frequency (F) of a sinusoidal wave can be determined from its period (P) using the formula:
[tex]\boxed{F=\dfrac{1}{P}}[/tex]
The sine function y = sin(x) completes one full cycle over the interval [0, 2π]. Therefore, its period is P = 2π.
To calculate the frequency (F), substitute P = 2π into the frequency formula:
[tex]F=\dfrac{1}{P}=\dfrac{1}{2\pi}\; \sf Hz[/tex]
PLEASE HELP!!!
There are 87 marbles in a bag and 68 of them are green. If one marble is chosen, what is the probability that it will be green?
Probability =
specific: green (68)
total: all (87)
= 68 ÷ 87 = 0.781609...
Watch the instructions carefully to determine how many decimals places to round, or if the number should be converted to a percent. In the example above, if we round to two decimal places, we get 0.78.
Review
Directions: Use the Spinner to answer questions 1-6.
THE SPINNER IS AT THE BOTTOM OF THE PAGE!!!
1) In which color, is the pointer more likely to land?
2) In which color, is the pointer less likely to land?
3) In which colors, is the pointer equally likely to land?
4) What is the chance the pointer will land on white?
a) More likely b) less likely c) equally likely d) unlikely
5) Is any color certain?
6) If green is replaced by blue, which colors have equally likely chances?
7) There are 5 white balls, 8 red balls, 7 yellow balls, and 4 green balls in a container. A ball is chosen at random. What is the probability of choosing red?
8) What is the probability of choosing green?
9) What is the probability of choosing either red or white?
10) What is the probability of choosing neither white nor green?
11) What is the probability of choosing other than yellow?
12) What is the probability of choosing black?
13) A card is drawn from a deck of 52 cards. Find the probability of drawing a black card.
14) Find the probability of drawing a red card.
15) Find the probability of drawing a red or black.
16) Find the probability of drawing an ace.
17) Find the probability of drawing either a jack or queen or king.
Challenge: Create three probability application problems of your own. Solve your problems. Explain your answers.
18)
19)
20)
Answer:32222
Step-by-step explanation: i dont really think thats the answer, i just did it for the points
Lashonda does a weekly exercise program consisting of cardiovascular work and weight training. Each week, she exercises for at least 7 hours. She spends at most 5 hours on weight training. She spends at most 11 hours doing cardiovascular work. Let × denote the time (in hours) that Lashonda spends doing cardiovascular work. Let y denote the time (in hours) that she spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.
The region (labelled A) corresponding to all values of x and y that is added as an attachment
How to determine the regionBased on the given information, we can write the following system of inequalities:
Lashonda exercises for at least 7 hours:
x + y ≥ 7
She spends at most 5 hours on weight training:
y ≤ 5
She spends at most 11 hours doing cardiovascular work:
x ≤ 11
So the system of inequalities can be written as:
x + y ≥ 7
y ≤ 5
x ≤ 11
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what is 180lbs in kg?
180 lbs is approximately equal to 81.65 kg ( rounded to four decimal places )
The conversion factor to convert lbs to kilogram is 0.453592
1 lbs = 0.453592 kg
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
The mass in kg = The mass in lbs × conversion factor
Substitute the values in the equation
1 lbs = 0.453592 kg
180 lbs = 180 × 0.453592
Multiply the numbers
= 81.6466 ( rounded to four decimal places )
Therefore, 180lbs is 81.6466
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A number z divided by 2 is at least -6.
Answer:
z ÷ 2 = ≥ -6
Step-by-step explanation:
The expression to represent this problem is:
z ÷ 2 = ≥ -6
What is the probability of at least one head in two coin tosses?
From the given information, the probability of getting at least one head in two coin tosses is 3/4 or 0.75.
A coin toss is a random event in which a coin is flipped and the outcome is either heads or tails. The outcome of a coin toss is not dependent on any previous tosses, and each toss is considered to be independent of the others.
The probability of getting at least one head in two coin tosses can be calculated as follows:
There are four possible outcomes when tossing two coins: HH, HT, TH, and TT, where H represents heads and T represents tails. Out of these four outcomes, three have at least one head (HH, HT, TH), and only one has no heads (TT).
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10% of 75 is what number?
Answer:
7.5
Step-by-step explanation:
i don’t know how to do it
For the given graph we have:
Domain [-4, 7]
Range [-5, 7]
How to find the domain and range?For a function y = f(x) we define the domain as the set of the inputs and the range as the set of the outputs.
To identify the domain on a graph we need to see the horizontal axis, here we can see that the graph starts at x = -4 and ends at x = 7, then the domain is [-4, 7]
For the rangewe need to look at the vertical axis, here we can see that it starts at y = -5 and ends at y = 7
Then the range is [-5, 7]
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What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Lets take two points from this line, (4,9) and (2,6).
Method 1: Count the slope
We can use [tex]\frac{rise}{run}[/tex] to count the slope.
Counting the slope, we get [tex]\frac{3}{2}[/tex].
Method 2: Slope formula
We can use the formula [tex]\frac{y2-y1}{x2-x1}[/tex] to calculate the formula.
Lets plug in the coordinates and solve.
[tex]\frac{6-9}{2-4}[/tex]
[tex]\frac{-3}{-2} = \frac{3}{2}[/tex]
Divide. (44b2−22b)÷(11b) Enter your answer
Answer:
4b
Step-by-step explanation:
To solve this division problem, you need to divide 44b2−22b by 11b. To do this, you can use the long division method. Begin by dividing the first term of the dividend (44b2) by the divisor (11b). The quotient will be 4b and the remainder will be 0. Then, subtract the remainder from the next term of the dividend (22b). This will give you a difference of 22b. Divide this by the divisor (11b), and you will get a quotient of 2b and a remainder of 0. Since the remainder is 0, the final answer is 4b.
11. CHALLENGE PROBLEM What percent of the Penders' total monthly net income are the monthly living expenses and fixed expenses? What is the monthly share of annual expenses? Total your three percents and analyze the result
The percent of total monthly net income for the monthly living expenses and fixed expenses is 60%, the monthly share of annual expenses is $3,000 and the total your three percents is 120%.
Explain challenge problem?A challenge problem is a task or question that requires a significant amount of thought, analysis, and problem-solving skills to solve. It often involves complex scenarios, calculations, or decision-making processes, and may require the use of multiple skills or disciplines to arrive at a solution.
To calculate the percentage of the Penders' total monthly net income that goes towards monthly living expenses and fixed expenses, we need to know the actual amounts of their monthly living and fixed expenses, as well as their total monthly net income. Let's assume that the Penders have a total monthly net income of $5,000, and their monthly living expenses and fixed expenses add up to $3,000.
The percentage of their total monthly net income that goes towards monthly living expenses and fixed expenses can be calculated as follows:
$3,000 (monthly living expenses and fixed expenses) ÷ $5,000 (total monthly net income) x 100% = 60%
Therefore, 60% of the Penders' total monthly net income goes towards monthly living expenses and fixed expenses.
To calculate the monthly share of annual expenses, we need to know the total amount of their annual expenses. Let's assume that their annual expenses add up to $36,000. The monthly share of their annual expenses can be calculated as follows:
$36,000 (annual expenses) ÷ 12 (number of months in a year) = $3,000 (monthly share of annual expenses)
To total the three percents, we add the percentage of their total monthly net income that goes towards monthly living expenses and fixed expenses (60%) to the percentage of their monthly share of annual expenses (which is also 60%, since $3,000 is 60% of $5,000). This gives us a total of 120%.
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Lacrosse players receive a randomly assigned numbered jersey to wear at games. If the jerseys are numbered 0−29, what is the probability the first player to be assigned a jersey gets #16
The probability that the first player to be assigned a jersey gets #16 is 0.0333 (or 1/30).
What is probability?
The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%.
If there are 30 jerseys numbered 0-29 and they are all equally likely to be assigned, then the probability that the first player to be assigned a jersey gets #16 is 1/30 or approximately 0.0333 (rounded to four decimal places).
Hence, the probability that the first player to be assigned a jersey gets #16 is 0.0333 (or 1/30).
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what is mcg to mg conversion?
An mg is equivalent to 0.001 g since the prefix "milli-" in milligrams stands for 10-3. A microgram is equivalent to 0.000001 g in mcg, where the prefix "micro-" stands for 10-6.
The terms milligrams (mg) and micrograms (mcg) are interchangeable. You must divide the value in mcg by 1000 to convert it to mg.
The conversion formula is as follows:
1 mcg Equals 0.001 mg
So, you may divide by 1000 or increase the number in mcg by 0.001 to convert it to mg. For instance:
500 mcg equals 0.5 mg (500 x 0.001 mg).
1000 mcg equals 1000 times 0.001 mg equals 1 mg
500 mcg equals 2.5 mg (or 2500 x 0.001 mg).
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Suppose you want a Car. It cost $4,768. About how much money would you have to save every month for 12 months to be able to buy the car? For 24 months?
To be able to purchase the car, you would need to save around 198.67 every month for 24 months.
To determine how much money you would have to save every month for 12 months or 24 months, we need to divide the cost of the car by the number of months and round the result up to the nearest cent to ensure that you have enough money to buy the car at the end of the saving period.
For 12 months:
The amount of money you would have to save every month for 12 months is:
4,768 / 12 = 397.33 (rounded up to the nearest cent)
So, you would have to save about 397.33 every month for 12 months to be able to buy the car.
For 24 months:
The amount of money you would have to save every month for 24 months is:
4,768 / 24 = 198.67 (rounded up to the nearest cent)
So, you would have to save about 198.67 every month for 24 months to be able to buy the car.
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1 meter how many feet
The 1 meter is 3.28084 feet.
Since 1983, the meter has been internationally defined as the length of the path traveled by light in a vacuum in 1/299,792,
58 seconds. This definition can be applied easily and precisely with modern techniques, and the speed of light is considered a universal constant, making it an ideal basis for a standard of length.
foot, plural of feet, measured by a number of ancient, medieval and modern linear measurements (usually 25–3
cm) based on the length of a human foot, used exclusively in English-speaking countries, where it usually consists of 12 inches. , or a third of a yard.
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HELP ASAP!
Moesha is looking at a graph that shows a line drawn between two points with a slope of -5. One of the points is smudged and she cannot read it. The point as far as she can tell are (3,5) and (x,10). What must the value of x be? Explain.
The value of x is 2.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The point as far as she can tell are (3,5) and (x,10).
Slope is -5.
-5=10-5/x-3
-5=5/x-3
-5(x-3)=5
Apply distributive property
-5x+15=5
Substitute 15 from both sides
-5x=-10
Divide both sides by 5
x=2
Hence, the value of x is 2.
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Find the distance and round decimals to the nearest tenth! Please help me
Answer:
5
Step-by-step explanation:
What is H in the limit definition of a derivative?
The limit definition of the derivative is written as [tex]f '(x) &= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]. Here, h is defined as (x₂ – x₁) or ∆x or the change in x.
The limit definition of the derivative is also known as the difference quotient or increment definition of the derivative. This is a product of the input value difference, (x + h) - x, and the function value difference, f(x + h) - f(x). This can be calculated using the difference quotient formula as follows,
[tex]\begin{aligned}f '(x) &= \lim_{h \to 0}\;\text{(difference quotient)}\\f '(x) &= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}\end{aligned}[/tex].
Here, f(x) represents (y₁), f(x+h) represents (y₂), x represents x₁, x+h represents x₂, h represents (x₂ – x₁) or ∆x or the change in x, Lim represents the slope M as h→0, and f (x+h) – f (x) – represents (y₂ – y₁).
This provides a measurement of the function's average rate of change over an interval. In other words, this provides the current rate of change.
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Give an example of relation on R which is not a function but whose inverse is a function?
A relation on R which is not a function but whose inverse is a function is the relation defined by f(x) = x² - 1.
This relation is not a function because it is not injective, as the equation has two solutions for every x in R, i.e. there are two y values for each x. However, its inverse is a function since, for each y value, there is only one x value that satisfies the equation.
To illustrate, let x = 2, then y = 3, and the inverse f-1(y) = 2, making the inverse a function. The inverse of the relation is defined by
f-1(x) = √(x + 1).This can be confirmed by squaring both sides of the equation, which yields
[tex](\sqrt{x + 1)} )^2[/tex] = x + 1, and so x = [tex](\sqrt{x + 1)} )^2[/tex] - 1, which is the same equation as f(x).
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Given trapezoid ABCD, what is the length of XY ?
B
X
A
6s+1
4s-2
S
D
с
Y
int
It should be noted that the geometrical constraint is that the average of the top and bottom lines will be the middle line thus the value of length XY is 18 units.
How to calculate the valueA quadrilateral is a geometrical 2d shape in which there are four sides and each side is connected and makes a close polygon.
The average of the top and bottom lines will be the middle line.
So, (6s + 1 + s)/2 = (4s - 2)
7s + 1 = 8s - 4
5 = s.
So,
XY = 4(5) - 2
= 20 - 2
= 18.
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A random number generator is used to select an integer from 1 to 50 (inclusively). What is the probability of selecting the integer 318?
The probability of selecting the integer 318 is 0
How to determine the probabilityFrom the question, we have the following parameters that can be used in our computation:
Sample space = 1 to 50
The integer 318 is not in the range of integers that the random number generator can select from (1 to 50).
Hence, the required probability of selecting the integer 318 is 0.
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Solve four and six tenths plus six and eight tenths = ___.
The expression when evaluated is 11.4
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
Solve four and six tenths plus six and eight tenths = ___.
Express as numbers and operators
So, we have the following representation
4.6 + 6.8 =
Evaluate the expression
4.6 + 6.8 = 11.4
HEnce, the solution is 11.4
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A rotating sprinkler that sprays water at a radius of 5 feet is used to water a lawn. Determine the area of the lawn that is watered. Use 3.14 for π.
The area of the lawn that is watered by the sprinkler is approximately 78.5 square feet.
To determine the area of the lawn that is watered by a rotating sprinkler, we need to calculate the area of the circle that the sprinkler covers. The radius of the sprinkler is given as 5 feet, which means that the diameter of the circle it covers is 10 feet.
To calculate the area of the circle, we can use the formula A = πr^2, where A is the area and r is the radius.
A = πr^2 = π(5^2) = 78.5 square feet (rounded to one decimal place)
This means that any plants or grass within this area should receive water from the sprinkler, assuming it is functioning properly and has sufficient water pressure.
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the binomial probability distribution is a __________ probability distribution that describes probabilities for experiments in which there are two __________ outcomes.
The binomial probability distribution is a discrete probability distribution that describes the probabilities of two independent outcomes in an experiment. A Poisson probability distribution is a discrete distribution whereby the stochastic process x makes a difference the number of occasions that an event occurs in a given interval.
Is the result of such a laboratory activity a probability distribution?
A probability distribution consists of a table or an equation that associates each output of a random experiment with the likelihood of its event occurring. Consider the following simple experiment: we toss a coin twice. The experiment could result in the head count being equal in 2 different coin flips.
What are the two binomial distribution outcomes?
Binary Distribution
Each trial yields one of two outcomes: success or failure. The success probability, denoted by p, remains constant from trial to trial. The n trials are autonomous.
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