The expert was wrong because the questions can be done theoretically with rectangular prisms, but they are often given in the context of cereal boxes, which makes them more interesting and engaging for students.
The questions that the expert was referring to are typically about volume, surface area, and capacity. These are all concepts that can be taught in a theoretical way, but they are often made more concrete by giving them a context, such as cereal boxes.
For example, a question about volume might ask students to calculate how much cereal is in a box. This question can be solved by simply multiplying the length, width, and height of the box.
However, it is more engaging for students to think about how much cereal they would actually eat, or how many boxes they would need to buy to feed their family.
Similarly, a question about surface area might ask students to calculate the total amount of cardboard used to make a box. This question can be solved by adding up the areas of all the faces of the box.
However, it is more engaging for students to think about how much cardboard is wasted, or how many boxes could be made from a single sheet of cardboard.
By giving these questions a context, they become more relevant to students' lives and interests. This makes them more likely to remember the concepts involved, and it can also help them to develop a better understanding of the real-world applications of mathematics.
In addition, giving these questions a context can help to make mathematics more fun for students. When students can see how mathematics can be used to solve real-world problems, they are more likely to be motivated to learn more about the subject.
Overall, the expert was wrong to say that these questions cannot be done theoretically. However, giving them a context, such as cereal boxes, can make them more interesting, engaging, and relevant to students.
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A customer hands you $3,850 in cash and would like to purchase 14 prepaid
cards of $275 each. The customer hands you the cash with an expired ID, and is
expecting you to process the transaction.
You must decline the transaction for the following reasons (Select all that apply):
Answer:
Step 1: You must decline the transaction for the following reasons:
A customer may not purchase more than $2,000 in prepaid cards within a 24-hour period.
Customer ID must be a valid (not expired) government issued photo ID (US or Canadian issued driver's license, state ID, passport; US military ID, US Territory ID)
Customers may not purchase more than $250 at the assisted check out
you must decline this transaction for disiplinary action or termination
The table shows a person saving money at a constant rate. How much is this person saving per week?
(Chart)
$------ 2-60. 4- 120. 6- 180. 8-240
(Answers)
A)$2.
B)$30.
C)$60.
D)$120
Answer:
We conclude that the person is saving $60 dollars per week.
Hence, option C is true.
Step-by-step explanation:
Given the table chart
Week Saving Money
2 60
4 120
6 180
8 240
We know to determine the slope to find the rate of change.
Taking the points (2, 60) and (4, 120)
Rate of change = Slope = [y₂ - y₁] / [x₂ - x₁]
= [120 - 60] / [4 - 2]
= 60 / 2
= $30 dollars per week
Now, taking the points (4, 120) and (6, 180)
Rate of change = Slope = [180 - 120] / [6 - 4]
= [60] / [2]
= $30 dollars per week
Now, taking the points (6, 180) and (8, 240)
Rate of change = Slope = [240 - 180] / [8 - 6]
= [60] / [2]
= $30 dollars per week
This concludes that the rate of change is contant i.e. $30 dollars per weekTherefore, we conclude that the person is saving $60 dollars per week.
Hence, option C is true.
PLS HELP !!!!! :( this is really hard please I need help
Answer: At least 13
Step-by-step explanation:
A board game buzzer is set to a random time increment anywhere between 60 and 90 seconds. Consider time until the buzzer sounds a random variable where any time between 60 and 90 has an equal likelihood. Players of the game must guess a phase from clues given by their teammates before the buzzer sounds.
State the distribution that will best model random variable. Choose from the common distributions: Uniform, Exponential or Normal distribution. Explain your reasoning.
State the parameter values that describe the distribution.
Give the probability density function.
Where 'a' is the minimum value (60 seconds) and 'b' is the maximum value (90 seconds).
The distribution that best models the random variable representing the time until the buzzer sounds in this scenario is the Uniform distribution.
Reasoning:
The Uniform distribution is suitable when all outcomes within a given range are equally likely. In this case, the time increment for the buzzer can be any value between 60 and 90 seconds, and all these values have an equal likelihood. There is no clustering or skewness in the distribution, as every value has the same probability of occurring.
Parameter values:
For the Uniform distribution, we need to specify the minimum and maximum values of the range. In this case, the minimum value is 60 seconds, and the maximum value is 90 seconds.
Probability density function (PDF):
The probability density function for the Uniform distribution is a constant within the range of the distribution and zero outside the range. In this case, the PDF can be defined as follows:
f(x) = 1 / (b - a), if a ≤ x ≤ b
f(x) = 0, otherwise
where 'a' is the minimum value (60 seconds) and 'b' is the maximum number (90 seconds).
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The probability density function of the uniform distribution is given by:f(x) = 1 / (b - a)where a ≤ x ≤ b otherwise f (x) = 0Putting the values of a and b into the formula;f(x) = 1 / (90 - 60)f(x) = 1 / 30More than 100 words.
Given that the board game buzzer is set to a random time increment anywhere between 60 and 90 seconds. This implies that the time until the buzzer sounds a random variable where any time between 60 and 90 has an equal likelihood.Since the likelihood is equal, the best distribution that will model this random variable is the Uniform distribution.This is because the uniform distribution is a probability distribution where every possible event is equally likely to occur. The uniform distribution model of the given data is shown below;X ~ U (60, 90)where X is the time until the buzzer sounds. U (60, 90) represents that the time until the buzzer sounds can take on any value between 60 and 90 seconds, and the distribution is uniform between these limits.The parameter values that describe the distribution are a and b, where a = 60 (minimum value) and b = 90 (maximum value).
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Find the fraction of the prime numbers in the range from 1 to 32.Write your answer in the simplest form.
Answer:
11/32
Step-by-step explanation:
A prime number is a number that has no whole number factors other than itself and 1. There are 11 prime numbers from 1-32, these are, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31. This means that 11 out of the 32 possible numbers are prime, so the fraction would be 11/32. The fraction is already in the simplest form, so the final answer is 11/32.
Can someone pls give me the answer to that?
The values of x and y which are the missing terms of the given triangle have their values as; x = ⁵/₂ and y = ⁹/₄
How to Interpret Division of line segments?
From the given triangle, we can see that the transverse line intersects both side lengths at their midpoints. Thus, we can say that;
3x - 4 = x + 1 ------(1)
⁴/₃y + 2 = 4y - 4 ------(2)
Let us solve equation 1 by rearranging to get;
3x - x = 1 + 4
2x = 5
x = ⁵/₂
Similarly, we can say that for equation 2;
4y - ⁴/₃y = 2 + 4
4y - ⁴/₃y = 6
Multiply through by 3 to get;
12y - 4y = 18
8y = 18
y = 18/8
y = ⁹/₄
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under which circumstances will a right angle triangle have a line of symmetry give reasons
Answer:
x txrxrserfunvek ke r CPP
i don’t get this can someone help
Answer:
y= 1/2x - 3
Step-by-step explanation:
So! Usually, I start by finding the y intercept. The line hits it at -3. After that, you would use RISE/RUN. When using that, you can see that you go up 1, to the right to. Since you are going up and to the right, it's a positive slope (1/2).
I really hope this helps!
Answer: the slope is 1/2
Step-by-step explanation: when you look at the line you look at the line that touches the little dots that touches the line after you see that you do rise over run and simplify when you can
Levi’s chooses three different numbers the sun of the three numbers is 24 one of the number is a square number the other two numbers are factors of 20 find the three numbers chosen by Levi’s write the number in ascending order
The three numbers that are chosen by Levi are 5, 9 and 10.
How to calculate the value?It should be noted that the factors of 20 are 1, 2, 4, 5, 10 and 20.
Possible sum of factors of 20 are: 3, 5, 6, 7, 9, 11, 12, 14, 15, 21, 22, and 24.
Difference between 24 and a possible sum of factors of 24 are:
(21, 19, 18, 17, 15, 13, 12, 10, 9, 3, 2 , 0.)
The square numbers less than 24 are ( 1, 4, 9, 16).
Therefore the square number is 9.
And sum of the factors of 20 is 24 -9 = 15.
Therefore, the factors of 20 are = 5 and 10
Thus the given numbers are 5, 9 and 10.
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HELP WOULD BE APPRECIATED
Answer:
Below
Step-by-step explanation:
Domain 'x' can be any value except 10 <====which would make the denominator = 0 which is not allowed
(-∞, 10 ) U (10 , +∞)
Range : horizontal asymptote the degree of the numerator and the denominator is the same : 1 so the horizontal asymptote will be
3 / -1 = -3 ( The coefficients of 'x' in the num and den)
the vertical asymptote occurs at x = 10 ...then the value of y goes to + inf
so range is ( -3, +∞)
Inverse Does exist , switch x's and y's in the original equation
x = (3y+1) / (10-y) now solve for y
and you will get f^-1 (x) = (10x-4) / (x+3)
Here is graph of f(x) , f^-1(x) and x=y :
Question: which number represents the following 8 degrees warmer today than monday answers: -7, 0, 7, 14
The number that represents 8 degrees warmer today than Monday is 0.
To find this, we can subtract 8 from the number that represents Monday's temperature.
Since Monday's temperature is not provided in the question, we cannot determine the exact number. However, out of the given options (-7, 0, 7, 14), the only number that is 8 degrees warmer than any other number is 0.
So, 0 represents the number that is 8 degrees warmer today than Monday.
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8.EE.5
Identify the unit rate of the proportional relationships:
1)
2)
In mort Answer
Insert Answer
3)
4)
Insert Answer
Insert Answer
Answer:
1.) \(slope=2\)
2.) \(slope=-3\)
3.) \(slope=\frac{1}{4}\)
4.) \(slope=-\frac{4}{5}\)
Step-by-step explanation:
The unit rate is also known as slope. Slope is the change in the y values over the change in the x values:
\((x_{1},y_{1})\\\\(x_{2},y_{2})\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=slope\)
However, with certain graphs, the slope can be found in a simpler manner.
You start at one point and move across the y-axis, then move along the x-axis until you reach another point on the same line. Make sure you move on the y-axis first, then the x-axis. Record the slope as spaces moved in each \(\frac{y}{x}\) When you move up, the number will be positive \((\frac{+y}{x})\). If you move down, the number will be negative \((\frac{-y}{x})\).If you move to the right, the number will be positive \((\frac{y}{+x})\). If you move to the left, the number will be negative \((\frac{y}{-x})\).in a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. simulation a will consist of 1,500 trials with a sample size of 100. simulation b will consist of 2,000 trials with a sample size of 50.
The sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.
What is sampling distribution ?
An example of a sampling distribution is a probability distribution of a statistic that is derived from repeated sampling of a particular population.
It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.
Given,
Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325.
Simulation A will consist of 1500 trials with a sample size of 100.
Simulation B will consist of 2000 trials with a sample size of 50.
Center for Simulation A and Simulation B will be roughly equal.
Overall Sample size of Simulation A will be
= 1500 * 100 = 150000
Overall Sample size of Simulation B will be
= 2000 * 50 = 100000
Hence, the sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.
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The complete question is -
In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?
A) The centers will roughly be equal, and the variabilities will roughly be equal.
B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.
C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.
D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.
E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.
tallest living man at one time had the height of 237 cm is shortest living man at that time had the height of 139.5 cm height of men at that time had a mean of 177.71 cm and a standard deviation of 6.03 cm which of these two men had the height that was more extreme
Based on the mean and standard deviation of men's heights at that time, the tallest living man had a more extreme height compared to the shortest living man.
The question asks which of the two men, the tallest living man or the shortest living man at that time, had a height that was more extreme.
To determine this, we need to compare their heights to the mean and standard deviation of men's heights at that time.
The mean height of men at that time was 177.71 cm, and the standard deviation was 6.03 cm.
The tallest living man had a height of 237 cm, which is 59.29 cm above the mean (237 - 177.71 = 59.29).
The shortest living man had a height of 139.5 cm, which is 38.21 cm below the mean (177.71 - 139.5 = 38.21).
To determine which height is more extreme, we can compare the distance from each height to the mean.
The distance from the tallest man's height to the mean is 59.29 cm, while the distance from the shortest man's height to the mean is 38.21 cm.
Since the distance from the tallest man's height to the mean is greater than the distance from the shortest man's height to the mean, we can conclude that the tallest living man had the height that was more extreme.
In summary, based on the mean and standard deviation of men's heights at that time, the tallest living man had a more extreme height compared to the shortest living man.
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la suma de cuatro y el producto de tres y un número x
Answer:
4+3x esa es la suma de cuatro y el producto de tres y un número x
Caitlyn recorded the height of each plant after she exposed each plant to a set amount of darkness daily. The scatterplot shows her results after 2 weeks of exposing each plant to the amount of darkness.
COMPLETE QUESTION:
Caitlyn recorded the height of each plant after she exposed each plant to a set amount of darkness daily. The scatterplot shows her results after 2 weeks of exposing each plant to the amount of darkness.
(Graph Below)
Which statement about the scatterplot is true?
A. The point (17, 12) could cause the description of the data set to be overstated.
B. The point (17, 12) could cause the description of the data set to be understated.
C. The point (17, 12) shows that there is no relationship between the number of hours of darkness and the height of the plant.
D. Although (17, 12) is an extreme value, it should be part of the description of the relationship between number of hours of darkness and the height of the plant.
Answer:
B. The point (17, 12) could cause the description of the data set to be understated.
Step-by-step explanation:
All other points on the scatter plot except point (17, 12), all follow a similar trend showing the negative relation between height of plants and darkness. If we are to consider just point (17, 12) alone when describing the data set, we might likely understate the relation between both variables.
Therefore, the statement that is true about the scatter plot is "B. The point (17, 12) could cause the description of the data set to be understated."
The statement (B) the point (17, 12) could cause the description of the data set to be understated is correct.
What is scatter plot?Scatter plots are graphs that represent individual points of data and are labelled with quantitative values on both the co-ordinate axes, meaning that there is only one projection on the x-axis and one projection on the y-axis for each point.
We have the scatter plot shown in the picture.
As we can see in the scatter plot, there is a point (17, 12) which is not follow the trend like other points follows.
We can say about the data set, we might likely understate the relation between both variables.
Thus, the statement (B) the point (17, 12) could cause the description of the data set to be understated is correct.
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1
2. Rotate Rectangle ABCD 90° counterclockwise.
Then, translate it along the vector (3,4).
A
D
B
C
-4 -2
4
2
АУ
O
-2.
-4
2
4
X
A'(
B'(
C'(
D'(
A"(
B"(
C"(
D"(
)
)
)
)
HELP ME PLS
Rotating 90 degrees counterclockwise: \((x,y) \longrightarrow (-y,x)\)
\(A(-4,4) \longrightarrow A'(-4, -4)\\\\B(-3, 4) \longrightarrow B'(-4, -3)\\\\C(-3, 1) \longrightarrow C'(-1, -3)\\\\D(-4, 1) \longrightarrow D'(-1, -4)\)
Translate along \(\langle 3, 4 \rangle\): \((x,y) \longrightarrow (x+3, y+4)\)
\(A'(-4, -4) \longrightarrow A''(-1, 0)\\\\B'(-4, -3) \longrightarrow B''(-1, 1)\\\\C'(-1, -3) \longrightarrow C''(2, 1)\\\\D'(-1, -4) \longrightarrow D''(2, 0)\)
2+2-9+9+234-89+2747-3+902/3892+7y+9y Does anybody know this answer? My teacher put this as homework.
Answer:
1296 m^2
Step-by-step explanation:
I searched the answer up I wish you best of luck with your homework
please answer!!!!!!!!!!!!!!!!!
x (2x - 4) = (2x + 1) (x - 2) solve
Answer:
2
Step-by-step explanation:
First distribute the first x into the first parenthesis: x (2x - 4) = (2x + 1) (x - 2)
x times 2x is \(2x^{2}\) and x times -4 is -4x
This changes the equation to: \(2x^{2}\)-4x = (2x + 1) (x - 2)
Now multiply the other parentheses: \(2x^{2}\)-4x = (2x + 1) (x - 2)
Do this by using the Foil method (I attached a picture of the method if you don't know it)
First: (2x + 1) (x - 2)
Do 2x times x which = \(2x^{2}\)
Then 2x times -2 which = -4x
Then 1 times x which = x
Lastly, 1 times -2 which = -2
The order you do this is the order that the foil method says.
Now the equation is:
\(2x^{2}\)-4x =\(2x^{2}\)-4x+x-2 (I just added all the numbers we just got)
Next cancel out the equal terms. To combine like terms you'd usually move the right \(2x^{2}\) over to the left one and subtract it. But since they are the same number, subtracting it would leave you with 0. So you can just get rid of both.
You can also do this with both -4x
This leaves you with:
0=x-2
Now you move the variable to the left
you also make it negative since it is going to the other side of the =
this leaves: -x=-2
You can't have a negative x so now you have to change the signs for both. Make them both positive.
Now you have x=2
so your answer is 2
Carter has a pool that can hold a maximum of 450 gallons of water. The pool already contains 150 gallons of water. Carter begins to add water at a rate of 8 gallons per minute. He wants to know how many minutes he needs to reach its maximum capacity. Let m represent the number of minutes. almost forgot:
Write an inequality that represents this problem.
If the average value of a continuous function f on the interval [-2,4] is 12
what is â«-2 4 f(x)/8
The expression -2 to 4 f(x)/8 is asking for the average volume of the function f(x) over the interval [-2,4], divided by the length of the interval (which is 8). The value is -9.
Since we are given that the average value of f on the interval [-2,4] is 12, we can use the formula for the average value of a function over an interval:
average value = (1/b-a) * integral from a to b of f(x) dx
where a and b are the endpoints of the interval.
Plugging in the values for a, b, and the average value, we get: 12 = (1/4-(-2)) * integral from -2 to 4 of f(x) dx
Simplifying: 12 = (1/6) * integral from -2 to 4 of f(x) dx
Multiplying both sides by 6: 72 = integral from -2 to 4 of f(x) dx
Finally, we can plug this back into the original expression: -2 to 4 f(x)/8 = (-1/8) * integral from -2 to 4 of f(x) dx
= (-1/8) * 72 = -9
Therefore, the value of -2 to 4 f(x)/8 is -9.
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The graph shows the system
y=2x +1
y=x2+1
Which ordered pairs are solutions of the system?
(0, 1) and (2,5)
(0, 1) and (1, 4)
(0,0) and (2, 5).
(1, 0) and (4, 2)
Given parallelogram ABCD with mZBAD = 83° and m2 CBA = (9x + 7), 1 point
find the value of x.
Answer:
x is 10
Step-by-step explanation:
For a parallelogram, the sum of adjacent angles equals 180 degrees. Based on the given shape, mZBAD and <CBA are adjacent to each other
Hence mZBAD + mZCBA = 180
83 + 9x + 7 = 180
90 + 9x = 180
9x = 180-90
9x = 90
x = 90/9
x = 10
Hence the value of x is 10
A student's four test grades are stored in cells a10, b10, c10, and d10. which excel statement will calculate the test average of these 4 grades?
The excel statement to estimate the test average of these 4 grades is -
Click a cell just below column or on the right of the row containing the numbers you want to average.Click the arrow next to AutoSum > Average on the HOME tab, then press Enter.What is termed as average function?An average is the sum of many numbers divided by the total of numbers. It is also known as the arithmetic mean.
Assume we have the following sequence of numbers: 1, 2, 3, 4, 1, 2, and 3. The sum of the these numbers is 16, and the number of numbers divided by 7 is 2.28. As a result, the average of the these numbers is 2.28.In Microsoft Excel, how do you find the average?The average of multiple cells in Microsoft Excel and other spreadsheets can be calculated using the appropriate formula. The formula in the following example calculates the average of the values found in cells A1 through F1 of the first column : =AVERAGE(A1:F1)You would use the same row but modify the cells to cells in a row to calculate the average of cells in one row. For instance, the formula recognizes the average value in cells A1 via A20 when placed in cell A21. =AVERAGE(A1:A20)To know more about the Microsoft Excel, here
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wath is answers k+10=27
Answer:
k = 17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
k + 10 = 27
Step 2: Solve for k
Subtract 10 on both sides: k = 17Alexis will graph the linear equation 6x 2y = 12 by plotting the x-intercept and y-
intercept.
Write the coordinates of the intercepts that Alexis should use.
Answer:
(0,6) and (2,0)
Step-by-step explanation:
y=-3x+6
Where x = 0 is equal to y=6 (Meaning the intercept is (0,6))
And where y= o is equal to x=2 (Meaning the intercept is (2,0))
The lines shown below are perpendicular
Answer:
Slope of green line:
\(m = \frac{ - 3 - 3}{4 - ( - 4))} = - \frac{6}{8} = - \frac{3}{4} \)
Slope of red line:
\(m = \frac{3 - ( - 5)}{3 - ( - 3)} = \frac{8}{6} = \frac{4}{3} \)
The slopes of these two lines are negative reciprocals of each other.
Therefore, the correct answer is True (A).
Is -90 a rational number help
Answer:
yes u can make it a fraction
Answer:
YES!
Explanation:
Rational numbers are all positive and negative numbers and can be written as a fraction.
Only 44 glasses to serve is x represents the number of glasses of iced tea and y represents the number of glasses of lemonade how many glasses of tea can be swerved?
William has about 6.05 ounces left in the can after putting 2.7 ounce in the first cup and 3.25 ounce in the second cup.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let x represents the number of glasses of iced tea and y represents the number of glasses of lemonade. Only 44 glasses to serve, hence:
x + y = 44
x = 44 - y
The expression that represents the number of glasses of ice tea she can serve is x = 44 - y
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