The probability of rolling an odd number on a fair six-sided die is P(odd) = (1/6) + (1/6) + (1/6) = 3/6 = 1/2. This is because there are three odd numbers (1, 3, and 5) out of the six possible outcomes, and they are each equally likely to occur.
The probability of rolling a number divisible by 3 on a fair six-sided die is P (divisible by 3) = (1/6) + (1/6) = 2/6 = 1/3. This is because there are two numbers (3 and 6) out of the six possible outcomes that are divisible by 3, and they are each equally likely to occur.
It's important to note that in both of these examples, we are assuming that the die is fair and unbiased, which means that each of the six possible outcomes has an equal chance of occurring. If the die is not fair, the probabilities of each outcome could be different.
Complete question:
More probability Aa Aa An event's probability measures the likelihood of its occurrence. The probability that an event X occurs is between 0 and 1, inclusive, and is denoted by P(X). If it is impossible for X to occur, then P(X) Rolling a standard six-sided die, the probability of rolling a 7 is zero, P(7)-0. If X is the set of all possible outcomes in the experiment, then X is certain to occur and P(X)1 In the die example, X could be that an integer is rolled, which must occur, and thus P(integer)-1 Otherwise, X is possible but uncertain, and 0<P(X) 1. In the die example, the probabilities of each of the six outcomes are equally likely (so long as the die is fairly balanced), so P(1)-P(2)-P(3)-P(4) = P(5)-P(6)- 1/3. If possible, you want to identify all the possible outcomes, called the If you are rolling a 1/6). fair die, your outcomes range from 1 to 6, with equal probability (P The probability of rolling an odd number is the probability of rolling a number divisible by 3 is
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is this function's avarage rate of change over the interval -1
Yes , it is a average rate of change over the interval -1
What is average rate of change?
It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.
suppose function y = x+1
then at interval [ -1 , 1]
at x= -1
y= 0
and at x= 1
y= 2
Rate of change = (y2 - y1)/(x2 - x1) = (2-0) / -1-1
Rate of change = 2/-2
= -1
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which of the following inequalities are equivalent to the inequality $x<3$ , where $b$ is a constant? select all that apply.responses$x-b-3.0$$x-b-3<0$$x<3-b$$x<3-b$$0>b-x 3$0 is greater than b minus x plus 3$-3
The inequalities that are equivalent to the inequality $x<3$ are:
$x<3-b$
$x-b<3$
Note that $x-b-3.0$ and $x-b-3<0$ are not equivalent to $x<3$
and -3 is not an inequality.
Data will be collected on the following variables. Which variable in most likely to be approximated by a normal model? A. The distribution of the number of books read last week by middle school students, where the right tal of the distribution is longer than the left b. The distribution of life spar, in minutes, for batteries of a certain size, where most life spans cluster around the center of the distribution but with some very low and some very high Me sans с. The distribution of uger, in years, of the students at a certain college, where most students are between 18 and 22 years old, but ages greater than 22 will probably be more spread out than ages less than 18 d. The distribution of the number of birthdays per month for the employees at a certain company, where the number of birthdays in each month is approximately equat e. The distribution of the length of a stay, in days, in a hospital after surpery, where many patients have very short hospital stays, but some stays are quite lengthy and considered high outliers.
The variable most likely to be approximated by a normal model is c. The distribution of age, in years, of the students at a certain college, where most students are between 18 and 22 years old, but ages greater than 22 will probably be more spread out than ages less than 18.
A normal model is used to describe data that has a symmetrical distribution and where most values cluster around the center of the distribution. Of the variables listed, c. The distribution of age, in years, of the students at a certain college, where most students are between 18 and 22 years old, but ages greater than 22 will variable probably be more spread out than ages less than 18 is the most likely to be approximated by a normal model as it does have a symmetrical distribution and most values will cluster around the center.
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2. Adding 5 to 3/2 of a certain number of cucumbers gives a result of 11 cucumbers. Find
the original number of cucumbers.
3. Seven less than three times a certain number of avocados is equal to that certain
number plus nine. Find the original number of avocados
Part A: the number of cucumbers is 11.
Part B: the number of avocados is 8.
Define the term fraction of the number?Part of a full number and a means of dividing a number equally sized portions are represented by fractions.A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated. For instance, the symbol for half of a complete number or item is 1/2.Part A:
Let x is the number of cucumbers .
Then,
3x - 7 = 26,
3x = 26+7,
3x = 33,
x = 33/3,
x = 11.
Thus, the number of cucumbers is 11.
Part B:
Let x is the number of avocados.
3x - 7 = x + 9
3x - x = 9 + 7
2x = 16
x = 8
Thus, the number of avocados is 8.
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which of the following values are examples of a boolean data type? select all that apply.
A Boolean data type is a type of data that can have one of two possible values, either true or false.
Boolean values are used in logic and programming to make decisions and determine the flow of a program. In programming, Boolean values are typically represented with 0 for false and 1 for true. Examples of Boolean values include the following:
• (5 > 4) True
• (10 = 10) True
• (3 < 2) False
• (17 ≥ 17) True
• (“dog” = “cat”) False
• (“hello” ≠ “goodbye”) True
Boolean values are used in programming to perform calculations, make decisions, and control the flow of a program. For example, an if statement is a type of decision making statement that uses a Boolean expression to determine if a certain condition is true or false. If the condition is true, the program will execute the specified code, and if false, the program will skip the specified code. Boolean values are also used to perform calculations, such as in the AND, OR, and NOT logical operators, which are used to combine two or more conditions into one expression. For example, the AND operator would return true if both of the conditions are true and false if either of the conditions are false.
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in the expressions below, n is an integer. indicate whether each expression has a value that is an odd integer or an even integer. use the definitions of even and odd to justify your answer. you can assume that the sum, difference, or product of two integers is also an integer. (b) 4n+3
(c) 10n3 + 8n - 4
Asymptotes and extreme values of the equation 10n3 + 8n - 4 are none, slope of 4n+3 is 4, and n is an integer.
What is the solutions of the given equation ?( a ) Points of axis interception at 4n+3: X Intercepts: [tex]$\left(-\frac{3}{4}, 0\right), \mathrm{Y}$[/tex] Intercepts: (0,3)
Slope of 4 n+3: m=4
( b ) Domain of [tex]$10 n^3+8 n-4:\left[\begin{array}{cc}\text { Solution: } & -\infty < n < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$[/tex]
Range of [tex]$10 n^3+8 n-4:\left[\begin{array}{cc}\text { Solution: } & -\infty < f(x) < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$[/tex]
Points of axis interception at [tex]$10 n^3+8 n-4: \quad X$[/tex] Intercepts: [tex]$(0.41235 \ldots, 0), Y$[/tex] Intercepts: (0,-4)
Asymptotes of [tex]$10 n^3+8 n-4: \quad$[/tex] None
Extreme Points of [tex]$10 n^3+8 n-4: \quad$[/tex]None
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Asymptotes and extreme values of the equation 10n3 + 8n - 4 are none, slope of 4n+3 is 4, and n is an integer.
What is the solutions of the given equation ?( a ) Points of axis interception at 4n+3: X Intercepts: Intercepts: (0,3)
Slope of 4 n+3: m=4
( b ) Domain of
Range of
Points of axis interception at Intercepts: Intercepts: (0,-4)
Asymptotes of None
Extreme Points of None
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PLEASE HELP DUE SOON!!
SO CONFUSED AND NEED HELP!!
The Mean is 350 and Median is 383.3
What is Mean of Grouped Data?The first step in calculating the mean of grouped data is to establish the midpoint (also known as a class mark) of each interval or class. The frequencies of the relevant classes must then be multiplied by these midpoints. The mean value is determined by dividing the total number of values by the sum of the products.
Given:
CI F x d Fd cf
100 - 200 2 150 -2 4 2
200 - 300 2 250 -1 -2 4
300 - 400 3 350 0 0 7
400 - 500 6 450 1 6 13
n= 13
Mean = 350+ 0/13 x 100
Mean = 350+0
Mean = 350
Hence, the Mean is 350 and Median is 383.3
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A picture of a bottle is 1/8 of its actual size.
The height of the bottle is 3 cm in the picture.
What is the actual height of the bottle?
Answer:
the actual size is 24 cm
Step-by-step explanation:
first, the problem tells us that the picture is only 1/8th of the original. the easiest way to find this is by thinking about the fact that we only have 1 out of 8 parts. each of these parts are going to be the exact same size.
each of the 8 parts is going to equal 3cm. so multiply 3 cm by your 8 parts.
3*8=24
this will give you the size of your entire bottle.
Find the dot product of u=⟨5,−7⟩ and v=⟨−7,−4⟩.
Answer:
Solution in attached photo.
Step-by-step explanation:
SolutionSteps are in attached photo, to do dot product, make sure you are multiplying x-coordinates of one vector with x-coordinates of another vector, and likewise for y-coordinates.
Susie pumps some air into the ball and increases the radius by 1 more inch. If she wants to paint the entire surface of the ball a different color, how much paint will she use?
the answer is 3 because if you add those together you will get 3
If you know how to do this comment please
Answer:
15,910
Step-by-step explanation:
(390*26)+5770=15910
On solving the provided question, we cans ay that in the equation 390t + 5770, In the year 2021, the total average credit card debt for a U.S.
household will be 5,910 dollars.
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
in the equation 390t + 5770
t = 26
In the year 2021, the total average credit card debt for a U.S.
household will be 5,910 dollars.
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when using the some rule ,we only use two of the equal ratios at one time.That is we work with pairs of _____ sides and angle?
When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.
Which set of ratios form a proportion?When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.
When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.
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At a restaurant, hot chocolate can be purchased in two different cup sizes. A 12-ounce cup costs $3.60 and a 16-ounce cup costs $4.80.
Is the linear relationship between cup size and cost also proportional? Why or why not?
Yes, the constant of proportionality is 0.3.
Yes, there is no constant of proportionality.
No, the constant of proportionality is 0.3.
No, there is no constant of proportionality.
Answer:
Step-by-step explanation:
Yes, the constant of proportionality is 0.3.
Answer:
Yes, the constant of proportionality is 0.3.
Step-by-step explanation:
12-ounce cup costs $3.60 => 1 ounce = $3.60 / 12 = $0.3
16-ounce cup costs $4.80 => 1 ounce = $4.80 / 16 = $0.3
$0.3 = $0.3
Yes, the constant of proportionality is 0.3.
Somebody please help
Select the term that describes the linear portion in this quadratic equation.
7x^2 - 12x + 16 = 0
Solve the following equation, explaining what you did in each step of your solution. After solving the equation, show the steps to check your solution. 3x + 2(4 + 6x) = 113
The solution to 3x + 2(4 + 6x) = 113 is x=7
3x + 2(4 + 6x) = 113
We will multiply the 2 with the brackets
3x+8+12x=13
adding the coefficients os x together
15x+8=113
adding -8 on both the sides
15x=105
dividing both the sides by 15
x=105/15
after division we get
x=7
To check our solution
we first put value of x in our original equation
3x7 + 2(4 + 6x7) = 113
we simplify the equation
21+2(4+42)=113
According to BODMAS we first solve the bracket
21+2(46)=113
now we solve the multiplication part
21+92=113
solving this
113=113
∴ LHS=RHS
Hence the solution is correct.
Therefore, the solution to 3x + 2(4 + 6x) = 113 is x=7
BODMAS is an acronym used to remember the order of precedence for operations. It stands for Brackets of Order(exponents) Division, multiplication, Addition, Subtraction
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Let x be a numeric vector and suppose you want to know how many entries of x are strictly less than 5. Create a new variable y which is equal to the number of entries of x that are (strictly) less than 5. For example, if x <- c(-5, 7, 9, 3, 14, 9, 5, 10, 2, -2, 0, 12) then your variable y should be equal to 6. Your code for y should be expressed in terms of x so that for different vectors x the same expression for y will always give the correct answer. Also, create another variable z which is equal to the number of entries of x that are strictly between -5 and 5. Like y, the variable z should also be expressed in terms of x so that the same expression for z works for various vectors x. The autograder will test your answer for several vectors x.
To calculate y, we use the sum() function with an argument of x < 5 to count the number of entries in x that are strictly less than 5. To calculate z, we use the sum() function with an argument of (x > -5) & (x < 5) to count the number of entries in x that are both greater than -5 and less than 5.
y = sum(x < 5)
z = sum((x > -5) & (x < 5))
y = sum(x < 5)
= sum(TRUE, FALSE, FALSE, TRUE, FALSE, FALSE, TRUE, FALSE, TRUE, TRUE, TRUE, FALSE)
= 5
z = sum((x > -5) & (x < 5))
= sum(TRUE, FALSE, FALSE, TRUE, FALSE, FALSE, TRUE, FALSE, TRUE, FALSE, TRUE, FALSE)
= 4
The first variable, y, is the number of entries of x that are strictly less than 5. To calculate y, we can use the sum() function with an argument of x < 5. This will count the number of entries in x that are less than 5. For example, if
x <- c(-5, 7, 9, 3, 14, 9, 5, 10, 2, -2, 0, 12), then y will be equal to 6 because there are 6 entries in x that are strictly less than 5.
The second variable, z, is the number of entries of x that are strictly between -5 and 5. To calculate z, we can use the sum() function with an argument of (x > -5) & (x < 5). This will count the number of entries in x that are both greater than -5 and less than 5. For our example, z will be equal to 4 because there are 4 entries in x that are strictly between -5 and 5.
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Billy remembers numbers using images that look somewhat like each number: 0 is a ball, 1 is a stick, 2 is a hanger, 3 is a comb, and 4 is a kite. Using Billy’s number images, Ryan remembered a 3-digit phone extension with this story: A person uses a hanger for his coat, then uses a stick to hit a ball. What number is Billy likely remembering?
Answer:
Step-by-step explanation:
210
naomi makes $8 per hour when she babysits for her younger siblings. answer the questions below regarding the relationship between the hours spent babysitting and the total money earned.
The independent variable x represents the, work hour and the dependent variable is money she earned, Because the money (dependant) depends on the work hour (Independent).
What is independent and dependent variable mean?One whose value is dependent on another variable is said to be a dependent variable. Its quantity depends on the other, as the name would imply. Dependent variables are subject to external influences and do not change independently.
Independent variables don't rely on other factors, as opposed to dependent variables. Their individualistic values are what changed the dependent variables, and this is what caused the change. Independent variables are, once more, unaffected by external factors, as their name implies.
Because the money she earn id depended on the number of hour she work,
(x) = 8x
When x = 5
5 = 8 × 5
= $40
Thus, Naomi is making $40 per 5 hours when she is babysitting her younger siblings.
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Full question:
what is the function for f(x+2)4x2+2-2
The numeric value of the function f(x) = 4x² + 2x + 2 at x = x + 2 is given as follows:
f(x + 2) = 4x² + 20x + 22.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
The function for this problem is defined as follows:
f(x) = 4x² + 2x + 2
To obtain the numeric value at x = x + 2, we replace the two instances of x by x + 2, hence:
f(x + 2) = 4(x + 2)² + 2(x + 2) + 2
f(x + 2) = 4(x² + 4x + 4) + 4x + 4 + 2
f(x + 2) = 4x² + 16x + 16 + 4x + 6
f(x + 2) = 4x² + 20x + 22.
Missing InformationThe problem asks for the numeric value of the function f(x) = 4x² + 2x + 2 at x = x + 2.
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The relative values of the mean and median are typically of data that have a significant skew to the left what are the relative values of the mean and median
The required, mean for the specific data set will also be greater than the median.
What is Statistic?Statistics is the study of mathematics that deals with relations between comprehensive data.
Here,
The relative values of the mean and median are typical of data that have a significant skew to the left, If the data set significant skew to the left implies that the mean of the data set is greater than the median of the data set.
Thus, the required, mean for the specific data set will also be greater than the median.
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What is the perimeter of the given composite figure?
A) 140 ft
B) 175 ft
C) 170 ft
D) 182 ft
Answer: C = 170
Step-by-step explanation: 45+45+40+40 = 170
Answer:
Your answer is: B) 175ft
Step-by-step explanation:
To fid the perimeter you need to add all the sides together. Don't forget to add the sides that are not labeled, as well as the extra 5ft.
45+45+40+40+5=175
Suppose that 59% of all students on campus wear glasses. If two students are chosen at random, what is the probability that both of them wear glasses?
The probability that both of them wear glasses is 35%.
How to determine the probabilityThe probability that both students wear glasses is equal to the product of the probability of the first and the second student wearing glasses
If 59% of all students on campus wear glasses, then the probability of a single student wearing glasses is 0.59.
The probability that both students wear glasses is:
0.59 * 0.59 = 0.3481
Approximate
0.59 * 0.59 = 0.35
So, the probability that both students wear glasses is approximately 0.35 or 35%.
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Mia's marble shows several colors. 2/3 of the marbles shows some red, 3/4 or the marbles shows some yellow, 6/7 of the marbles shows some blue. Mia has fewer than 250 marbles. How many of Mia's marbles show some blue?
The number of Mia's marbles that show some blue colour would be = 214.3 marbles
What is fraction of a number?A fraction of a number is part of the whole number which is represented as a numerator and a denominator.
The total number of marbles = 250
The fraction of the marble that are red = 2/3
The fraction of the marble that are blue = 6/7
The fraction of the marble that are yellow = 3/4
The quantity of marbles that are blue
= 6/7× 250
= 1500/7
= 214.3 marbles
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Find a parametric representation of the solution set of the linear equation. (Enter your answer as a comma-separated list of equations. Use t as your parameter.) 2x - t.6.t-12 X
The solution set of the linear equation 2x - t.6.t-12 = 0 can be represented parametrically as x = t + 6.
A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables.
The equation 2x - t.6.t-12 = 0 is a linear equation in the variable x and can be solved by isolating x to one side of the equation. To do this, first distribute t on the right side of the equation, giving 2x - 6t^2 + 12 = 0. Then add 6t^2 - 12 to both sides of the equation to get 2x = 6t^2 - 12. Finally, divide both sides of the equation by 2 to get x = 3t^2 - 6. This is a parametric representation of the solution set of linear equations. x is a function of parameter t. The solution is given by x = 3t^2 - 6.
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Please help, I’ve been stressing out over this to the point where I’m crying.
Answer:
sorry i don't know but you do it very good i promise
help rn for brainliest its timed hurry
The solution is Option A.
The value of the missing length parallel to the side LN of the triangle is 44
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ΔLMN
Let the second triangle be represented ΔVUN
The triangles LMN and VUN are similar
The measure of side LV = x
The measure of side LN = 11 + x
So , the corresponding sides of the similar triangles are in ratio
MU / UN = LV / VN
24 / 8 = x / 11
On simplifying the equation , we get
3 = x / 11
Multiply by 11 on both sides of the equation , we get
x = 33
Now , the measure of side LN = x + 11
The measure of side LN = 33 + 11 = 44
Hence , the measure of side LN is 44
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ap exam a small class of five statistics students received the following scores on their ap exam: 5, 4, 4, 3, 1. a) calculate the mean and standard deviation of these five scores.
The mean of the score is 3.4 and the standard deviation is 3.2.
Scores of students = 5, 4, 4, 3 and 1
When determining the mean of a group of numbers, add up all the numbers and divide by the total number in the group.
Calculating the mean -
= Sum of total values / Total values
= 5 + 4 + 4 + 3 + 1 / 5
= 17/5
= 3.4
By averaging the squared deviations of each integer from the mean, you may get the variance before calculating the standard deviation.
Calculating the Standard deviation -
σ = √ ∑ (xi - u)²/n
σ² = (1² + (3.4 - 1)² + (3.4 - 4)² + (3.4 - 4)²+ (3.4 - 5)²) / 5
= 3.2
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State if the pair of triangles are similar. If so, state how…
The ratio of the sides of the triangle is the same one angle therefore, the two of the given triangles are similar triangles.
What are similar triangles?
If the respective angles are congruent and the corresponding sides are proportional, two triangles are said to be similar. To put it another way, comparable triangles are similar in shape but not necessarily in size. In addition, the triangles are congruent if their corresponding sides are of identical length.
As it we know that for the two triangles to be similar triangles, the ratio of their corresponding sides should be the same.
DC/RD = DB/SD
∠R = ∠C = 68°
So, ΔDCB ≈ ΔRSD by Side Angel Side property.
Hence, we can see that the ratio of the sides of the triangle is the same one angle therefore, the two of the given triangles are similar triangles.
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Which is the simplified form of the expression (6-2•65)-3?
0 630
0 0 о
O
% -1% % -12
O 6⁰
613
