Answer:
A ratio is a comparison of two or more quantities. A different way to show the ratio of a to b would be b to a. they might also ask you to put it this way b:a
Step-by-step explanation:
I'm not sure if this is right, but I hope it helps!
The cuboid below is made of silver and has a mass of 416 g. Calculate its density, in g/cm³. If your answer is a decimal, give it to 1 d.p. Question attached
Answer:
3.5g/cm³ to 1d.p
Step-by-step explanation:
Density = mass/volume
Mass = 416g
Volume = 12 x 5 x 2 (length x width x height)
Volume 120cm³
Density = 416g/ 120cm³
Denaity = 3.47g/cm³
Which combination of limit properties is required to evaluatelim x->0 (√x+4/x+1 + 2x - 1)?a. sum, product, power, quotientb. sum, difference, power, quotientc. sum, difference, root, quotientd. sum, root, quotient, product
Sum, product, power and quotient is the combination of limit properties tat is required to evaluate the given expression.
What is limit?An output value that a function approaches for the specified input values is referred to as a limit. Calculus and mathematical analysis depend on limits, which are also used to determine integrals, derivatives, and continuity.
What is the rule of limit?The limit of the difference between two functions is equal to the difference between the limits of two functions, according to the difference law for limits. The law of constant multiples for limits states that the limit of a function that is a constant multiple is equal to the sum of the limits of the function and the constant.
We must understand how to obtain the limits involving sums in order to evaluate this limit. We also require the power rule because powers are involved. Because the fraction can be expressed as a product with a negative power, we apply the product rule rather than the quotient rule.
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a type of medicine is given in a 100 miligram dosage. the medicine comes in a 12 gram bottle. how many 100 milligram doses are in a bottle?
The medicine bottle has 120 doses of 100 miligram each.
As per the known fact, 1000 miligram is 1 gram. So, the amount of medicine in the bottle in milligrams = 12×1000
Performing multiplication on Right Hand Side of the equation
Amount of medicine in bottle = 12000 milligrams.
Now, number of dose of 100 miligram medicine = 1
Amount of dose of 12000 miligram medicine = (1/100)×12000
Performing division and multiplication on Right Hand Side of the equation
Amount of doses in 12000 miligram medicine = 120
Thus, there are 120 doses in a medicine.
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the burger hut outlet processes on average 2000 customers per day (15 hours). on average, there are 50 customers in the restaurant (waiting to place the order, waiting for the order to arrive, eating, going back to the counter to order another serving, etc.). how long is a customer typically in the restaurant?
The average duration of a customer's stay in the restaurant is approximately 27 seconds.
To find the average time a customer spends in the restaurant, we divide the total time spent by the total number of customers. Given that the outlet processes 2000 customers in 15 hours and there are 50 customers in the restaurant on average, we can calculate the average time as follows:
Total time spent = 15 hours
Total number of customers = 2000
Average time per customer = Total time spent / Total number of customers
= 15 hours / 2000
= 0.0075 hours or 27 seconds.
Therefore, a customer typically spends around 27 seconds in the restaurant.
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PLEASE HELP ANSWER FAST I WILL GIVE BRAINLIEST!!!!!
Emily saved $100 to buy a new laptop. If the laptop she wants cost $544 and she earns $12 a week how long will it take for Emily to get enough money?
Create an equation for the problem here. Don't put any spaces.
How many weeks will it take?
Answer:
Take the number of weeks as x
12x = 544 - 100
x =444/12
x = 37
Thus it would take her 37 weeks to buy her a laptop
Answer:
15
Step-by-step explanation:
I I hope this helps please and thank you this gun to help okay bye
Further statistical computation will be needed
mean
mode
median
By performing these statistical computations, you can analyze and interpret the central tendency of your dataset, which helps in understanding the overall pattern and distribution of the data.
It looks like you're seeking information on further statistical computation related to mean, mode, and median.
To calculate the mean, mode, and median of a dataset, follow these steps:
1. Mean: The mean is the average of all data points in a dataset.
- Step 1: Add up all the data points.
- Step 2: Divide the sum by the total number of data points.
2. Mode: The mode is the data point that occurs most frequently in a dataset.
- Step 1: Count the frequency of each data point.
- Step 2: Identify the data point(s) with the highest frequency.
3. Median: The median is the middle value in a dataset when the data points are arranged in ascending order.
- Step 1: Arrange the data points in ascending order.
- Step 2: If there is an odd number of data points, the median is the middle value. If there is an even number of data points, the median is the average of the two middle values.
By performing these statistical computations, you can analyze and interpret the central tendency of your dataset, which helps in understanding the overall pattern and distribution of the data.
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a. The most typical case is desired: Mode. The mode is a useful measure of central tendency when the most typical or common value is of relevance since it denotes the value or category that occurs most frequently in a data collection.
b. The distribution is open-ended: Median. The median is the middle value in a data set when arranged in ascending or descending order. It is a suitable measure of central tendency when the distribution is open-ended or skewed, as it is less affected by extreme values compared to the mean.
c. The data collection has an extreme value: the median. The median is less sensitive to extreme values compared to the mean, making it a better measure of central tendency in data sets with extreme values or outliers.
d. The data are categorical: Mode. The mode is appropriate for categorical data, as it represents the most frequently occurring category or value in the data set.
e. Further statistical computations will be needed: This statement does not indicate a specific measure of central tendency. Further statistical computations may be needed to determine the appropriate measure of central tendency depending on the characteristics of the data and the specific objectives of the analysis.
f. The numbers should be split into two roughly equal groups, one of which should contain the higher values and the other should contain the smaller values: Median. The median is the value that separates a data set into two equal halves, making it suitable for dividing data into two approximately equal groups based on their values.
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COMPLETE QUESTION-
For these situations, state which measure of central tendency - mean, median, or mode-should be used.
a. The most typical case is desired.
b. The distribution is open-ended.
c. There is an extreme value in the data set.
d. The data are categorical.
e. Further statistical computations will be needed.
f. The values are to be divided into two approximately equal groups, one group containing the larger values and one containing the smaller values.
how to find the surface area of a rectangular solid
Answer:
Surface Area = 2 * (length * width + length * height + width * height)
Step-by-step explanation:
To find the surface area of a rectangular solid (also known as a rectangular prism), you need to calculate the areas of its six faces and then add them together. The formula for the surface area of a rectangular solid is:
Surface Area = 2 * (length * width + length * height + width * height)
Here are the steps to find the surface area:
Identify the length, width, and height of the rectangular solid.
Multiply the length by the width to find the area of the top and bottom faces.
Multiply the length by the height to find the area of the front and back faces.
Multiply the width by the height to find the area of the left and right faces.
Add up all the areas calculated in steps 2, 3, and 4.
Multiply the sum by 2 to account for the two identical sets of faces.
The result will be the surface area of the rectangular solid.
It's important to note that all measurements should be in the same unit (e.g., centimeters, inches) for accurate results.
Answer:
Step-by-step explanation:
how to find the surface area of a rectangular solidThe area of the rectangular solid (parallelepiped) is calculated by adding the lateral area and twice the base area: Stot=Slat+2Sb; the area of the rectangular parallelepiped is given by the sum of the areas of the six rectangles that make up its surface, ie Stot=2(ab+ah+bh).
I've been waiting for about 2hours and 30 minutes Somebody help me Q^Q pleaseeeee T^T
At a restaurant all the freezers are set to a temperature that is below 3F let x be the temperature of a freezer which inequality represents temperatures below 3F.
Let x be the temperature of a freezer; at a restaurant, all the freezers are set to a temperature that is below 3°F. The inequality x < 3 is used to denote temperatures below 3°F. Hence, Option C is correct.
What is the meaning of the term “inequality”?The occurrence of an unfair and/or unequal distribution of opportunities and resources among the people that make up a society is referred to as inequality. To different people and in various settings, the word "inequality" may indicate different things.
In mathematics, various signs are used to denote the inequality among values.
Therefore, inequality x < 3 is used to denote temperatures below 3°F. Option C is correct.
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help me with this please
The values of a, b, c are 152°, 28°, 152° respectively.
What are angle at a point?Angles around a point describes the sum of angles that can be arranged together so that they form a full turn.
The sum of angles at a point will give 360°.
This means that a + b + c + 28 = 360
c +28 = 180° ( angle on a straight line)
c = 180 -28
c = 152°
c = a( alternate angles are equal)
therefore the value of a = 152°
b = 28( alternate angles are equal)
therefore the value of b is 28
therefore the values of a, b, c are 152°, 28°, 152° respectively
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Help will mark brainliest!
By using the fact that the sum of the interior angles of a triangle must be 180°, we will get:
x = 11m∠B = 108°m∠B = 36°m∠D = 36°How to find the value of x?Remember that the sum of the internal angles of a triangle is always equal to 180°, then we can write:
m∠B + m∠C + m∠D = 180°
Then:
13x - 35 + 5x - 19 + 2x + 14 =180
20x -40 = 180
20x = 180 + 40
20x = 220
x = 220/20
x = 11
Now that we know the value of x, we can find the measures of the angles.
m∠B = (13x- 35)° = (13*11 - 35)° = 108°
m∠B = (5x - 19)° = (5*11 - 19)° = 36°
m∠D = (2x + 14)° = (2*11 + 14)° = 36°
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The difference of the sample means of two populations is 34.6, and the standard deviation of the difference of the sample means is 11.9.
The 95% confidence interval lies between
???
Answer:
-23.8 and +23.8
Step-by-step explanation:
Answer:
The 95% confidence interval lies between -23.8 and +23.8
Step-by-step explanation:
I just did it on Edmentum.
when converting to a new system, which cutover method is the most conservative? a. data coupling cutover b. parallel operation cutover c. phased cutover d. cold turkey cutover
The most conservative cutover method when converting to a new system is the Phased Cutover.
This method allows for the implementation of the new system in multiple stages, thereby reducing risk. First, the new system is installed and tested. Next, a small portion of data is moved to the new system.
After data is moved, the new system is tested again. This process is repeated until all data has been moved and tested, and the new system is running smoothly.
Once the new system is running successfully, the old system is discontinued.
The phased cutover method ensures that the new system is functioning correctly, and gives time for system users to get used to the new system, before the old system is turned off.
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Your store cost on a loaf of bread is $0. 75, and your retail price is $3. 85. You are having a promotion which discounts the bread 20%. What is your margin on the discounted bread?.
The margin on the discounted bread is $2.33
Given,
In the question:
Your store cost on a loaf of bread is $0. 75,
and your retail price is $3. 85.
You are having a promotion which discounts the bread 20%.
To find the margin on the discounted bread.
Now, According to the question:
Given store cost on a loaf of bread is $0.75 and retail price is $3.85.
Discount is always given on retail price.
The amount of discount is 20%
Discount given on $3.85 = 20% of 3.85= .20(3.85)= 0.77.
Cost of bread after discount =3.85-0.77= 3.08
The discounted bread costs $3.08.
The difference in store cost and discounted cost = 3.08-0.75=$2.33
Hence, the margin on the discounted bread is $2.33
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what is 1/13 of 18 as a proper fraction
Answer:
Step-by-step explanation:
1/13 x 18
of= multiply
18x1=18
13x1=13
18/13
As a PROPER FRACTION, it is 1 5/13
Answer: 18/13
Step-by-step explanation:
You have to multiply the fractions.
Find the equation of a line perpendicular to\hspace{4px}-x+y=9\hspace{4px}−x+y=9that passes through the point (-2,-1)(−2,−1).
Answer:
\(y = -x -3\)
Step-by-step explanation:
⭐What is a property of a perpendicular line?
perpendicular lines have slopes that are the opposite reciprocal of the slopes of the lines they are perpendicular to⭐What does "opposite reciprocal" mean?
the perpendicular line has a slope that is the reciprocal of the slope of the line it is perpendicular to with the opposite sign.⭐What is the equation of a line?
in slope-intercept form:\(y = mx + b\)m = the slope b = the y-interceptTo create the equation of the perpendicular line, let's first find the slope of the perpendicular line.
The equation of the line the perpendicular line is perpendicular to is:
\(-x + y = 9\)
⭐ \(y = x + 9\)
The slope of the line the perpendicular line is perpendicular to is 1.
Therefore, the slope of the perpendicular line is -1.
Substitute the slope of the perpendicular line into the equation of the perpendicular line:
\(y = mx + b\)
\(y = -x + b\)
Now, we need to find the y-intercept of the perpendicular line.
To do so, substitute a point that we are given into the perpendicular line equation and solve for b.
I am going to use the point (-2,-1), because we are given this point.
\(y = -x + b\)
\(-1 = -(-2) + b\)
\(-1 = 2 + b\)
\(-3 = b\)
Therefore, the y-intercept of the perpendicular line is -3.
Substitute the value of the y-intercept into the equation of the perpendicular line:
\(y = -x -3\)
∴The equation of the perpendicular line is \(y = -x -3\)
List the sample space for rolling a fair seven-sided die.
S = {1, 2, 3, 4, 5, 6, 7}
S = {1, 2, 3, 4, 5, 6, 7, 8}
S = {1}
S = {7}
The sample space for rolling a fair seven-sided die is S = {1, 2, 3, 4, 5, 6, 7}.
Given that,
A fair seven sided die is rolled.
We have to find the sample space of the rolling.
A sample space is a set of all the possible outcomes in a random experiment. It is usually denoted by the letter, S.
The subset of the sample space are events.
The die has the numbers marked from 1 to 7.
So when we roll the die,
The possible numbers are 1, 2, 3, 4, 5, 6, 7
Sample space = {1, 2, 3, 4, 5, 6, 7}
Hence the sample space is {1, 2, 3, 4, 5, 6, 7}.
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What two numbers add up to 16 and multiply to -36
Answer:
-2 and 18
Step-by-step explanation:
a + b = 16
ab = -36
a = (16-b)
b(16-b) = -36
16b - b² = -36
-b² + 16b + 36 = 0
b² - 16b - 36 = 0
(b+18)(b-2) = 0
1
possible
Find the interest on the following loan.
$5315 at 5%; loan made on August 10 and due December 23
The interest amount (simple interest ) on the loan amount $5315 at 5% from 10th aug to 23rd dec. of same year is $105.50
How to calculate simple interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:
\(I = \dfrac{P \times R \times T}{100}\)
For this case, we're specified that:
Principal amount = $5315Rate of interest = R% = 5% (assumingly annually, and simple interest).Time for which interest was applied: 10th aug to 23rd dec.( of same year assumingly)Converting this time in terms of year, we get:
Aug has 31 days, Sept has 30 days, Oct. has 31 days, Nov has 30 days.
From 10th aug, till its last, there went 22 days.
Whole sept and oct and nov. was spent (30+31+30 = 91 days)
And then there were 22 days of december(23rd day not covered assumingly)
So, total days = 22+22+91 = 145 days.
Assuming averagely 365.25 days in an year, we get the average time for which the interest will be calculated as:
\(\dfrac{145}{365.25} \approx 0.397 \: \rm years\)
Thus, we get: the amount of interest as:
\(I = \dfrac{P \times R \times T}{100}\\\\I \approx \dfrac{5315 \times 5\times 0.397}{100} \approx 105.50 \: \rm dollars\)
Thus, the interest amount (simple interest ) on the loan amount $5315 at 5% from 10th aug to 23rd dec. of same year is $105.50
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If two cards are drawn from a deck, what is the probability that exactly one of the cards will be a face card?
The probability of getting exactly one face card is 0.72.
According to the questions two cards are drawn from a deck.
Since, we know that
Total number of cards in a deck = 52
Total number of face cards = 3 × 4 = 12
So, the number of ways of selecting 2 cards from a deck = \(^{52} C_{2}\)
And, the total number of ways of getting exactly one face cards
= \(^{12} C_{1} \times ^{40} C_{1}\) + \(^{40} C_{1} \times ^{12} C_{1}\)
= 2\(^{40} C_{1} \times ^{12} C_{1}\)
Therefore, the probability of getting exactly one face card
= \(\frac{2(^{40} C_{1} \times ^{12} C_{1})}{^{52C_{2} } }\)
\(= \frac{2(\frac{40 \times 39!}{1!\times 39!} \frac{12\times 11!}{11!}) }{\frac{52\times 51\times 50!}{2!\times50!} }\)
\(= \frac{2(40\times 12)}{26\times 51}\)
\(=\frac{2\times 480}{1326}\)
= 0.72
Hence, the probability of getting exactly one face card is 0.72.
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Two congruent ellipses are perpendicular to each other. Squares fill the gaps between the two ellipses as shown. Show that the side of the square equals half the minor axis of the ellipse.
The side of the square equals half the minor axis of the ellipse.
To show that the side of the square is half the minor axis of the ellipse, we must prove that the angles of the ellipses and the squares are congruent. To do this, we must first draw in the diagonals of the square, which will form two additional isosceles triangles.
Since the ellipses are perpendicular, the angles of the ellipses and the squares will be the same. Since the angles of the isosceles triangles are equal, the side of the square must be equal to half of the minor axis of the ellipse. Therefore, the side of the square is equal to half of the minor axis of the ellipse.
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A cell phone company orders 400 new phones from a manufacturer. If the probability of a phone being defective is 2.1%, predict how many of the phones are likely to be defective.
Answer: there would be 8 defective phones.
Step-by-step explanation: assuming that only 2 percent is defective and the other 98 are not, every hundred phones ordered, two would be defective.
the thin-walled pipe has an inner diameter of 0.5 in and a thickness of 0.025 in.
The outer diameter of the thin-walled pipe can be calculated by adding twice the thickness to the inner diameter. Therefore, the outer diameter is 0.5 in + 2(0.025 in) = 0.55 in.
A thin-walled pipe is a hollow cylinder with a relatively small thickness compared to its inner and outer diameters. In this case, the inner diameter of the pipe is given value as 0.5 in, and the thickness is 0.025 in.
To find the outer diameter, we add twice the thickness to the inner diameter. This is because the thickness is divided equally on both sides of the inner diameter. So, the outer diameter can be calculated as 0.5 in + 2(0.025 in) = 0.55 in.
The outer diameter is an important parameter in determining the overall size and structural integrity of the pipe. It affects the flow capacity, strength, and compatibility with other pipe fittings.
Knowing the outer diameter allows for proper sizing and fitting of the thin-walled pipe in various applications, such as plumbing, HVAC systems, or fluid transportation.
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Write an
expression for the product
(15)(√21) without a perfect square
factor in the radicand.
An expression for the product √15x * √21x³ without a perfect square
factor in the radicand is: 3x²√35
How simplify the square root of a number?The number or expression written under a root symbol or radical sign is known as a radicand in math. It is an expression of which we are taking a root.
A perfect square is a number, from a given number system, that can be expressed as the square of a number from the same number system. Examples of Numbers that are Perfect Squares. 25 is a perfect square
√15x * √21x³
The product of roots with the same index is equal to the root, so
√(15x * 21x³)
Calculate the sum inside the radical
√315x⁴
Then, you can simplify the radical expression and move the variable + exponent to get:
3x²√35
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Complete question is:
Write an expression for the product √(15x) * √(√21x³) without a perfect square factor in the radicand.
Brandon is a California CPA who is renewing his license in active status. During the two years prior to his renewal date, Brandon's highest level of service provided was a compilation engagement. How many hours, out of the total of 80 continuing education hours required, must Brandon complete pursuant to the Accounting and Auditing Education Requirement? - 8 hours, -16 hours, -24 hours, -40 hours
According to the California Board of Accountancy's requirements for CPA license renewal, if the highest level of service provided during the two years prior to the renewal date was a compilation engagement, the CPA must complete 24 hours of continuing education in accounting and auditing subjects.
Here is the breakdown of the requirements for the Accounting and Auditing Education Requirement:
- If the highest level of service provided was an audit, review, or attestation engagement, the CPA must complete 40 hours of continuing education in accounting and auditing subjects.
- If the highest level of service provided was a compilation engagement, the CPA must complete 24 hours of continuing education in accounting and auditing subjects.
- If the highest level of service provided was preparation of financial statements, the CPA must complete 8 hours of continuing education in accounting and auditing subjects.
- If the CPA did not provide any of the above services, they are not required to complete any continuing education in accounting and auditing subjects.
In Brandon's case, since his highest level of service provided was a compilation engagement, he must complete 24 hours of continuing education in accounting and auditing subjects out of the total of 80 continuing education hours required.
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Find the unknown dimensions and volume of the composed figure. 8 cm 3 cm B A 12 cm 10 cm 28 cm Enter the correct numbers in the boxes. Hint The dimension of edge A is centimeters. The dimension of edge B is centimeters. The volume of the composed figure is cubic centimeters.
the dimension of edge A is
\(10-3=7\operatorname{cm}\)the dimension of edge B is
\(12\operatorname{cm}\)the volume of the composed figure is
\(\begin{gathered} V1=3\times8\times12=288 \\ V2=12\times28\times7=2352 \\ \text{Vfigure}=288+2352=2640\operatorname{cm}3 \end{gathered}\)Volume is 2640 cubic centimeters
Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x + 2)^2 – 64
lesser x =
greater x =
Answer:
6 & -10
Step-by-step explanation:
Given :
f(x) = (x+2)² - 64And we need to find the Zeroes of the given function .For that equate the polynomial with 0 , we have ,
\(:\implies\) f(x) = 0
\(:\implies\) ( x + 2 )² - 64 = 0
\(:\implies\) ( x + 2)² = 64
\(:\implies\) ( x + 2 ) = √64
\(:\implies\) ( x + 2) = ± 8
\(:\implies\) x = -2 ±8
\(:\implies\) x = -10 , 6
Hence the value of 6 and -10 .
two times a number plus three equals one half of the number plus 30. What is the number?
Answer:
17 x 2 = 34
34 = 30 + 4
4 is and -0
Step-by-step explanation:
make-believe starny_xx :0
The square root of 30
Answer:
square root of 30 is 30
because it comes in a point =5.477225575
find the dimensions of a rectangular lot whose perimeter is 40 meters and whose area is 96 square meters.
We can use a system of equations to solve this problem.
Taking x and y as the dimensions of the rectangle, we know that the sum of twice each dimension is the perimeter of the rectangle:
\(2x+2y=40\)The area of the rectangle is the product of its dimensions:
\(xy=96\)Solve the first equation for y:
\(\begin{gathered} 2x+2y=40 \\ 2y=40-2x \\ y=\frac{40-2x}{2} \\ y=20-x \end{gathered}\)Replace y for this expression in the second equation:
\(\begin{gathered} x(20-x)=96 \\ 20x-x^2=96 \end{gathered}\)We obtain a quadratic equation that we need to solve:
\(\begin{gathered} 0=x^2-20x+96 \\ 0=(x-8)(x-12) \\ x-8=0 \\ x=8 \\ x-12=0 \\ x=12 \end{gathered}\)It means that x can be 8 or 12.
Use each value of x to find y:
\(\begin{gathered} y=20-x \\ y=20-8 \\ y=12 \\ y=20-12 \\ y=8 \end{gathered}\)It means that y can be 12 or 8.
According to the results, the dimensions of the rectangular lot are 8 and 12.
______ is a risk analysis technique in which the best- and worst-case net present valuesare compared with the project's expected net present value.
Answer: Scenario Analysis
Step-by-step explanation: