Answer:
We can use the slope-intercept form of a linear equation to model the balance y after t months, where the slope represents the rate of change of the balance and the y-intercept represents the initial balance.
The initial balance (y-intercept) is the amount Tina borrowed to buy the refrigerator, which we don't know. But we can find the slope using the two data points provided:
Four months: balance = $630
Six months: balance = $520
The change in the balance over the two-month period is:
$520 - $630 = -$110
The slope of the line is the rate of change of the balance per month, which is:
slope = Δy/Δt = (-$110)/(6-4) = -$55/month
Using the point-slope form of a linear equation, we can plug in one of the data points to find the y-intercept:
y - 630 = -$55(t - 4)
y - 630 = -$55t + 220
y = -$55t + 850
Therefore, the equation that models the balance y after t months is:
y = -$55t + 850.
the estimated simple linear regression equation minimizes the sum of the squared deviations between each value of y and the line. True or false
The given statement "The estimated simple linear regression equation minimizes the sum of the squared deviations between each value of y and the line" is true because it provides the best fit line.
The simple linear regression equation estimates the relationship between two variables - a dependent variable (y) and an independent variable (x) - by fitting a straight line through the data points.
The line is chosen so that the sum of the squared deviations (also known as the sum of squared errors or SSE) between the observed values of y and the predicted values of y on the line is minimized.
In other words, the simple linear regression equation finds the line that is closest to all the data points in terms of the vertical distance between the points and the line.
This line is chosen to minimize the sum of squared deviations because it provides the best estimate of the relationship between x and y, and it allows for the prediction of y values for a given x value.
Thus, minimizing the sum of squared deviations is a crucial aspect of the simple linear regression equation because it ensures that the line of best fit provides the most accurate estimate of the relationship between the variables.
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solve problems 3 and 4 in homework 2 by constructing confidence intervals about the parameters to be tested, rather than performing hypothesis testing. do you get the same results as before?
Confidence intervals provide more information than hypothesis tests as they give an estimate of the parameter value as well as a range of plausible values, whereas hypothesis tests only give a decision about the null hypothesis.
To solve problems 3 and 4 in homework 2 by constructing confidence intervals about the parameters to be tested, rather than performing hypothesis testing, we need to take the following steps:
Step 1: Calculate the sample mean and sample standard deviation from the given data.
Step 2: Calculate the standard error (SE) using the formula: SE = σ / √n`,
where `σ` is the population standard deviation (if known), or the sample standard deviation (if population standard deviation is unknown)
and `n` is the sample size.
Step 3: Calculate the margin of error (ME) using the formula: `ME = z * SE`,
where `z` is the z-score corresponding to the desired level of confidence.
Step 4: Calculate the confidence interval (CI) using the formula: `CI = sample mean ± ME.
Step 5: Interpret the confidence interval in the context of the problem.
Statement: Do you get the same results as before.
No, we do not get the same results as before.
When we construct a confidence interval, we obtain a range of plausible values for the parameter with a certain level of confidence, whereas in hypothesis testing, we either reject or fail to reject the null hypothesis based on the sample data at a certain level of significance.
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F(x)=x2-x3-4 What is the axis of symmetry of the following equation?
The axis of symmetry of equation f(x) = x² - x³ - 4 is x = 2/3.
The axis of symmetry is a vertical line that passes through the vertex of a parabolic function, which is the highest or lowest point on the graph depending on the direction of the parabola. The equation f(x) = x² - x³ - 4 is a cubic function that can be written in standard form as:
f(x) = -x³ + x² - 4
To find the axis of symmetry, we need to first find the x-coordinate of the vertex. This can be done by taking the derivative of f(x) and setting it equal to zero:
f'(x) = -3x² + 2x = 0
x(2-3x) = 0
x = 0 or x = 2/3
Since the coefficient of the x³ term is negative, the vertex of the cubic function is a maximum. Therefore, the axis of symmetry is the vertical line passing through the x-coordinate of the vertex, which is x = 2/3.
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a sphere has a radius of 17 feet. the volume of the sphere is increasing at a rate of 562 cubic feet per minute. what is the rate of change of the radius, in feet per minute, when the radius is 5 feet?
When the sphere has a radius of 5 feet, the radius is increasing at a very slow rate of 0.018 feet per minute if volume is increasing.
The volume of a sphere formula, V = (4/3)r3, must be used to determine the rate of change of the radius.
Using this formula's derivative with regard to time t, we obtain:
[tex]dV/dt = 4r2(dr/dt)[/tex].
Here, r: radius of the sphere, and we need to determine dr/dt, the rate of change of the radius when r=5. dV/dt is the rate of change of the volume, which is provided as 562 cubic feet per minute.
When we enter the provided values, we obtain:
[tex]562 = 4\pi (17)^2(dr/dt)[/tex]
0.018 feet per minute is equal to[tex]dr/dt = 562 / (4(17)2)[/tex].
As a result, the radius changes at a rate of about 0.018 feet per minute when the radius is 5 feet.
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Gina Wilson All things Algebra Unit 10 Homework 6 answer key
Examining the figures of the circles, the values for x is calculated to be
11. x = 8
12. ED = 11
How to solve for xThe value of x in the two figure is solved using the relationship between secant and angle measures
11. The formula used here is
(2x + 7) = 0.5 * (78 - 32)
(2x + 7) = 0.5 * (46)
2x + 7 = 23
solving for x
2x = 23 - 7
2x = 16
x = 8
12.
11x - 9 = 0.5 ( (15x-39) - (9x-3) )
11x - 9 = 0.5 ( 15x - 39 - 9x + 3 )
11x - 9 = 0.5 ( 6x - 36 )
11x - 9 = 3x - 18
11x + 3x = -18 + 9
14x = -9
x = 14/9 = 1.56
solving for
ED = 9x - 3 = 9 * 14/9 - 3 = 14 - 3 = 11
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A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
11, 18, 35, 39, 45, 45, 46, 47, 49, 49, 50, 50, 50, 50, 56, 57, 58, 59
A graph titled Donations to Charity in Dollars. The x-axis is labeled 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 10 to 19, up to 2 above 30 to 39, up to 6 above 40 to 49, and up to 8 above 50 to 59. There is no shaded bar above 20 to 29.
Which measure of center should the charity use to accurately represent the data? Explain your answer.
The median of 45.2 is the most accurate to use to show that they need more money.
The median of 49 is the most accurate to use, since the data is skewed.
The mean of 49 is the most accurate to use to show that they have plenty of money.
The mean of 45.2 is the most accurate to use, since the data is skewed.
The median of 49 is the most accurate to use, since the data is skewed.
What is distribution?Distribution refers to the pattern of variation in a dataset. Specifically, it refers to how the values in the dataset are spread out or clustered together.
According to question:The most appropriate measure of center to represent the data depends on the shape of the distribution. In this case, we can see from the histogram that the data is skewed to the right, with a longer tail of higher values.
In skewed distributions, the median is generally a more appropriate measure of center than the mean. This is because the mean can be influenced by extreme values in the tail of the distribution, whereas the median is more resistant to such outliers.Therefore, the correct answer is: the median of 49 is the most accurate to use, since the data is skewed. This represents the middle value of the data when it is arranged in order, and is less sensitive to the outliers at the high end of the distribution. Using the median can give a more accurate representation of the typical donations received by the charity.
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ANSWER THIS WITHIN ONE HOUR OR ELSE I WILL BE DOOMED
mARKING BRAINLIEST
PS: FILL IN THE SHEET DONT JUST GIVE AN ANSWER
The prompt on fractions is given as follows:
1 ) (1/2) ÷ 4 = 1/8
2) ( 1/5) ÷ 2 = 1/10
3) (1/3) ÷ 5 = 1/15
4) (1/4) ÷ 4 = 1/16
5) The solution to the puzzle for (1/2) ÷ 3 is given below.
The calculations are given as follows;
1 )
= (1/2) x (1/4) [dividing by a number is the same as multiplying by its reciprocal]
= 1/8
2) (1/5) ÷ 2
= (1/5) x (1/2)
= 1/10
3)
(1/3) ÷ 5
= (1/3) x (1/5)
= 1/15
4) (1/4) ÷ 4
= (1/4) x (1/4)
= 1/16
5) Mary had 1/2 of a pie that she wanted to share with 3 of her friends. She decided to divide it equally among them. Each friend got 1/6 of the pie. To check, Mary multiplied 1/6 by 3 and got 1/2. This shows that (1/2)/3 equals 1/6, since dividing by 3 is the same as multiplying by its reciprocal, 1/3.
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Select the correct answer.
A graph with a y-axis and an x-axis in positive and negative planes. Two lines L I and I J are formed by connecting points (Negative 4,3), (5,3), and (5, Negative 3).
I(5, 3), J(5, -3), and L(-4, 3) are three vertices of rectangle IJKL. What are the coordinates of the fourth vertex, K, of rectangle IJKL?
A.
(-4, -3)
B.
(5, 3)
C.
(5, -3)
D.
(-4, 3)
The cοοrdinates οf the fοurth vertex K must be the reflectiοn οf the pοint L(-4,3) acrοss the οrigin, which is (4,-3).
Thus, οptiοn D is cοrrect.
What is the cοοrdinate geοmetry?Cοοrdinate geοmetry is a branch οf mathematics that deals with the study οf geοmetry using the principles οf algebra.
The rectangle IJKL is fοrmed by cοnnecting the pοints I, J, K, and L in a clοckwise οr cοunterclοckwise manner. Since I and J have the same x-cοοrdinate and are οn οppοsite sides οf the x-axis, and L and K have the same y-cοοrdinate and are οn οppοsite sides οf the y-axis, it fοllοws that the diagοnals οf the rectangle IJKL intersect at the οrigin (0,0).
Therefοre, the cοοrdinates οf the fοurth vertex K must be the reflectiοn οf the pοint L(-4,3) acrοss the οrigin, which is (4,-3).
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A ____ specifies which subjects and objects users or groups can access.
An access control list (ACL) specifies which subjects and objects users or groups can access.
What is Access Control List (ACL)?An Access Control List (ACL) is a term used to describe a security mechanism that regulates who has access to an object in a computing system. An Access Control List (ACL) is a type of file that contains the names of people or groups of individuals who are allowed or denied access to a system resource.
ACLs are one of the most widely used security measures in computer networks today, and they are used to establish access control policies for network resources such as files, folders, devices, or services. This list is compiled on the basis of the requirements and policies of the security team in place.
The access control list (ACL) is a security feature that allows administrators to define and manage the permissions and rights for different users or groups to access specific resources, such as files, directories, or applications. Implementing an ACL helps to ensure proper security and privacy in a system or network.
The access control list (ACL) is correct in the blanks.
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What is the percent of decrease from 98.7 to 0?
Answer:
100% because it goes to zero which means 100% is decreased
_______ is/are formed immediately after the union of sperm and ovum in the fallopian tube.
A Zygote is/are formed immediately after the union of sperm and ovum in the fallopian tube.
What is a zygote?A zygote is a cell formed when two gamete cells are fused by means of sexual reproduction. These cells contain a single set of chromosomes from both the father and the mother of the offspring. As a result, the zygote contains all of the genetic information required to create a completely new person. After the fertilization of the ovum by the sperm, the zygote is formed. The zygote will continue to divide into a multicellular embryo and eventually a fetus after fertilization has taken place.
The fusion of a sperm cell with an ovum in the fallopian tube leads to the formation of a zygote, which involves the combination of genetic material from both parents resulting in the creation of a single-celled zygote. This zygote then initiates the process of cell division and progresses into an embryo.
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determine whether the property is true for all integers, true for no integers, or true for some integers and false for other integers. justify your answers. the average of any two odd integers is odd.
The property of the average of any two odd integers being odd is true for all integers.
This is because the sum of any two odd integers is always an even integer. For example, if we take any two odd integers, say 3 and 7, then the sum of these two is 10, an even integer. Therefore, the average of 3 and 7, which is (3 + 7)/2, is also an even integer, in this case, 5.
Since all even integers are divisible by 2, the average of any two odd integers must be an odd integer.
Therefore, the property is true for all integers.
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let p value of our hypothesis testing problem is 0.10 with significance level of 0.05. what is the probability that null hypothesis is true?
Probability of the null hypothesis being true is greater than the significance level.
The probability that the null hypothesis is true depends on the significance level set before the hypothesis test. In this case, the significance level was set at 0.05 and the p-value obtained was 0.10. This means that the probability of the null hypothesis being true is greater than the significance level (0.10 > 0.05), so the null hypothesis cannot be rejected.
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How do I work this out?
a.) The mode for the chart is 24.
b.) The probability that the winning score will be 25 = 7/50
C.)The probability that the winning score will be 23 or more = 37/50.
How to calculate the probability of the selected outcomes?The number of times the game is played = 50 times
The number of games that showed the score of 25= 7
The probability of winning a score of 25 = 7/50
The scores that are 23 and above; 10+14+7+4+2= 37
The probability of winning a score of 23 and above = 37/50
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The product of two positive consecutive integers is 2 less than
twice their sum. Find the integers.
The two positive consecutive integers as required to be determined are; 3 and 4.
What are the integers which are as described?It follows from the task content that;
Let the positive consecutive Integers be; x and (x + 1).
Therefore, we have that;
x (x + 1) = 2 (x + x + 1) - 2
x² + x = 4x + 2 - 2
x² - 3x = 0
x = 0 or x = 3.
Since the integers are positive, Therefore, the integers in discuss are 3 and 4.
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if you're good at quadratics...
Therefore, the correct answer is: [tex](x+10)^2=82[/tex]. ( right hand side of the equation).
What is equation?An equation is a mathematical statement that indicates that two expressions are equal. It typically contains variables, which are represented by letters, and may also include constants and operators. The general format of an equation is:
expression = expression
For example, the equation x + 2 = 6 means that the expression x + 2 is equal to the expression 6. The goal of solving an equation is to find the value(s) of the variable(s) that make the equation true.
To solve the quadratic equation by completing the square, Jamie needs to follow the steps:
Move the constant term to the right-hand side of the equation:
[tex]x^2 + 20x = -18[/tex]
Add and subtract the square of half the coefficient of x to the left-hand side of the equation:
[tex]x^2 + 20x + (20/2)^2 - (20/2)^2 = -18[/tex]
[tex](x+10)^2 - 100 = -18[/tex]
Simplify the right-hand side of the equation:
[tex](x+10)^2 = 82[/tex]
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A spinner is divided into five colored sections that are not of equal size: red, blue,
green, yellow, and purple. The spinner is spun several times, and the results are
recorded below:
Spinner Results
Color Frequency
Red
Blue
Green
Yellow
Purple
14
6
12
4
16
Based on these results, express the probability that the next spin will land on purple
as a fraction in simplest form.
Answer: the answer is 21 percent
Step-by-step explanation:
when you have 16 of 52 which is all of the colors together then it will give you 21%
Answer:
21% or 4/13
Step-by-step explanation:
when you have 16 of 52 which is all of the colors together, then it will give you 21%
For fractions, you have 16 of 52, then you can simplify the fraction down to 4/13. Giving you the answer of a simplified fraction.
The table shows the dimensions of two fenced-in areas at the dog park. How many times greater is the area enclosed by the wood fence than the area enclosed by the metal fence
The area enclosed by the wood fence is 7 3/4 times greater than the area enclosed by the metal fence. So the correct answer is d. 7 3/4.
What is area?When measuring the area of a shape, we are determining the amount of surface the shape takes up.
To calculate the area enclosed by each fence, we must multiply the length and width of each.
The area enclosed by the wood fence is
6 1/2 x 2 1/4 = 14 7/8 square yards,
and the area enclosed by the metal fence is
2 3/4 x 2 1/2 = 6 7/8 square yards.
To determine how many times greater the area enclosed by the wood fence is than the area enclosed by the metal fence, we must divide the area of the wood fence by the area of the metal fence:
14 7/8 / 6 7/8 = 7 3/4.
This means the area enclosed by the wood fence is 7 3/4 times greater than the area enclosed by the metal fence.
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four cards are drawn from a deck without replacement. find the probability all cards are black cards.
The probability that all four cards drawn from a deck are black cards is 1/4165.
There are 26 black cards and 52 cards in a standard deck of cards. Therefore, the probability of drawing a black card from a standard deck of cards is 26/52 or 1/2. In the first draw, there are 26 black cards out of 52 cards, so the probability of drawing a black card is 26/52.
In the second draw, there are 25 black cards left out of 51 cards, so the probability of drawing a black card is 25/51. In the third draw, there are 24 black cards left out of 50 cards, so the probability of drawing a black card is 24/50. In the fourth draw, there are 23 black cards left out of 49 cards, so the probability of drawing a black card is 23/49.
Using the multiplication principle of probability, the probability that all four cards drawn from a deck are black cards is 26/52 × 25/51 × 24/50 × 23/49 = 1/4165.
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I need some help please
Answer:
−18 x + 12
Step-by-step explanation:
multiply using the distributive property
Answer:
-2(9x-6)
-2 divided by 9x = - 18
-2 divided by - 6 = 12 (negative + negative =positive)
= - 18x +12
Which of the cross sections described would result in a rectangle with a height of
inches (in.)?
A.A horizontal cross section through the center of a sphere with a radius of 4 in.
B. A horizontal cross section through the center of a cone with a radius of 4 and a height of 4 in.
C. A vertical cross section through the center of a cone with a radius of 4 and a height of 4 in.
D. A vertical cross section through the center of a cylinder with a radius of 4 and a height of 4 in.
Answer:B. A horizontal cross section through the center of a cone with a radius of 4 and a height of 4 in.
Step-by-step explanation:
Solve each of the given inequalities for z. Which of the inequalities has 5 as a solution?
Inequality 1 Inequality 2
(4(2.8z + 1.75) > - 26.6) (2(1.9z + 1.5) <= 18.2)
Answer: Inequality 1
Step-by-step explanation: Let's solve each inequality first.
4(2.8z+175 )>-26.6
let's distribute the 4.
4(2.8z)+4(175)
11.2z+700>-26.6
Now let's isolate the variable by subtracting 700 on each side.
11.2z>-726.6
Now let's divide both sides by 11.2
z>-64.875
Oh? This one already has 5 as a solution as 5 is more than -64.875!
PLEASE HELP FAST (giving brainliest)
First one is 6
second one is 12
third one is -8
hope this helps
Answer:
Step-by-step explanation:
x=6
x=12
x=-8
the annual increase in height of cedar trees is believed to be distributed uniformly between seven and twelve inches. find the probability that a randomly selected cedar tree will grow more than 8 inches in a given year. round your answer to four decimal places, if necessary
The annual increase in height of cedar trees is believed to be distributed uniformly between seven and twelve inches. 0.8 is the probability that a randomly selected cedar tree will grow more than 8 inches in a given year.
The annual increase in height of cedar trees is believed to be distributed uniformly between seven and twelve inches.
To find the probability that a randomly selected cedar tree will grow more than 8 inches in a given year, the following steps should be followed:
Calculate the range of increase in height of cedar trees:
The range of increase in height is
(12 - 7) = 5 inches.
Calculate the probability that a cedar tree will grow more than 8 inches:
P(X > 8) = (12 - 8) / 5 = 0.8
where X is the annual increase in height of a cedar tree.
Round the answer to four decimal places:
Therefore, the probability that a randomly selected cedar tree will grow more than 8 inches in a given year is 0.8000 or 0.8 (rounded to four decimal places).
Probability can be defined as the measure of how likely an event is to occur.
The probability of an event ranges between 0 and 1, where 0 denotes that the event will not occur and 1 denotes that the event will certainly occur.
If a random variable X has a uniform distribution over an interval (a, b), then the probability of X falling between two values c and d is given by:
P(c < X < d) = (d - c) / (b - a)
In this problem, the annual increase in height of cedar trees is believed to be distributed uniformly between seven and twelve inches.
Therefore, the probability that a randomly selected cedar tree will grow more than 8 inches in a given year is: P(X > 8) = (12 - 8) / (12 - 7) = 4 / 5 = 0.8 (rounded to four decimal places).
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What is the slope of the line parallel to the function: * y = 50 -0.5x 50 0.5 -0.5 02
The slope of the line parallel to the function: y = 50 - 0.5x include the following: C. -0.5.
What are parallel lines?In Mathematics and Geometry, parallel lines simply refers to two (2) lines that are always the same or equal distance apart and never meet.
Generally speaking, two (2) lines are considered as parallel under the following standard conditions:
Slope, m₁ = Slope, m₂.
From the function, we have:
y = 50 - 0.5x
Slope, m = -0.5
In this context, we can reasonably infer and logically deduce that the slope of the two lines would be equal and the same:
Slope of line 1 = Slope of line 2
-0.5 = -0.5
In conclusion, we can logically deduce that the slope of the given line is equal to -0.5.
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a supply container dropped from an aircraft by parachute hits a target with a probability of 0.37. (a) what is the expected number of container drops needed to hit a target?
The given probability is 0.37 which is the probability of a supply container dropped from an aircraft by a parachute hitting a target. So the expected number of container drops needed to hit a target is approximately 2.7027.
To find out the expected number of container drops needed to hit a target, we can use the formula given below;
E(X) = (1/p) E(X)
= (1/0.37)E(X)
= 2.7027
Thus, the expected number of container drops needed to hit a target is approximately 2.7027.
An expected value is a statistical concept that represents the theoretical average value of a random variable. It is represented as E(X).
The expected value is calculated by multiplying each possible value of the random variable by its probability and then adding all of the products.
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What is the base, rate of change (incr/decr), and is it growth or decay
Y=3000(0.72)^x
The key features of the function are Base = 0.72, Rate = decrement and it decays
identifying the key features of the functionGiven that
y = 3000 * (0.72)ˣ
The given equation is in the form of exponential decay:
Base: The base of the exponential function is the constant term that is being raised to a power. In this case, the base is 0.72.
Rate of change: The rate of change is the factor by which the function is being multiplied or divided as the input variable increases.
Since the base is less than 1, the function is decreasing as x increases. The rate of decrease is given by the base, which is 0.72.
Growth or decay: As the base is less than 1, the function is decreasing, which means it is a decay function.
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Find the value of x in the triangle
Answer:
x = 40
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
65 + 75 + x = 180
140 + x = 180 ( subtract 140 from both sides )
x = 40
Answer: x = 40
Step-by-step explanation:
In a triangle, all the angles add up to 180 degrees.
In this case, 65 + 75 + x = 180.
Add the 65 and 75 together using column addition:
65
+75
-------
140
Now, the equation is 140 + x = 180
Subtract 140 from both sides:
x = 40
Therefore, x is 40.
your neighborhood fast food restaurant only sells chicken nuggets in packs of five or seven. what is the largest number of nuggets that is impossible to order?
The largest number of chicken nuggets that is impossible to order from your neighborhood fast food restaurant is eleven.
The largest number of chicken nuggets that is impossible to order from your neighborhood fast food restaurant is eleven. This is because the restaurant only sells nuggets in packs of five and seven. This means that if you wanted to order eleven nuggets, it would not be possible.
To explain this mathematically, eleven can be written as 5+5+1, 7+4, or 3+3+3+2. As none of these can be made with just five and seven packs of chicken nuggets, it is impossible to order eleven.
If the restaurant sold chicken nuggets in packs of three and seven, then it would be possible to order eleven nuggets (3+3+3+2).
In conclusion, the largest number of chicken nuggets that is impossible to order from your neighborhood fast food restaurant is eleven.
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Which of these investments would be considered high-risk?
Stocks
Pension Plans
Certificate of Deposit
Annuities
Answer: Stocks
Step-by-step explanation: People mainly live on wim's so stocks at times can be unpredictable.