The slope of a linear line (or a linear equation) can be found by simply taking 2 values for x and y and then using the slope formula which is \(\frac{dy}{dx}\) or:
\(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)
Example:
Let's say you're give this table:
x: 1, 2
y: 1, 2
Following the steps which I gave, you take 1 value for the y (preferably the larger one) which in this cause will be 2 and then another y from the table which would be 1
Do the same for x
Now plug the values taken in the slope formula and you get:
\(\frac{2 - 1}{2 - 1}\)
\(\frac{1}{1} = 1\)
Therefore the slope is 1.
Answer:
Rise/run
Rise over run.
Step-by-step explanation:
To find the slope pick two perfect spots on the line when the coordinates are not decimals.
Then, take those two points and figure out the distance. You will use rise/run.
so rise is how much you either go up or down and run is how much you either go right or left. so how much you'll go up or down? how much will you move right or left?
Lets say you have to go up 5 and then left 7 to get to the coordinate.
That's your slope! you went up so it's positive and you went left so it's negative. Rise over run : rise 5 left 7 so, 5 and -7 which is 5/-7 and that's your slope!
Which one of the following are propositions? \( \exists x(S(x) \vee R(x)) \) \( \exists x P(x) \) \( P(x) \vee(\forall x Q(x)) \) \( (\exists x S(x)) \vee R(x) \)
The propositions among the given options are: \( \exists x P(x) \) and \( (\exists x S(x)) \vee R(x) \). A proposition is a declarative statement that can be either true or false.
In the first option, \( \exists x(S(x) \vee R(x)) \), the statement is not a proposition because it contains a quantifier (\( \exists \)) without specifying the domain of discourse. This makes it unclear whether the statement is true or false.
The second option, \( \exists x P(x) \), is a proposition. It states that there exists an \( x \) for which \( P(x) \) is true. This statement can be evaluated as either true or false, depending on the specific meaning and truth value of \( P(x) \).
The third option, \( P(x) \vee(\forall x Q(x)) \), is not a proposition because it contains a mixture of a universal quantifier (\( \forall \)) and an existential quantifier (\( \exists \)) without a clear domain of discourse.
The fourth option, \( (\exists x S(x)) \vee R(x) \), is a proposition. It states that either there exists an \( x \) such that \( S(x) \) is true, or \( R(x) \) is true. This statement can be evaluated as either true or false, depending on the specific meanings and truth values of \( S(x) \) and \( R(x) \).
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Pls help this is due today I need help ASAP if its right i will give brainlest
Answer:
20.76 ✨
hope that helped!!!!
Answer:
i think it's $60.68
Step-by-step explanation:
if I'm wrong plz correct me
Which choice most effectively sets up the main idea
of the following two sentences?
A) NO CHANGE
B) reflected the increasing conservatism of the
United States in the 1950s.
C) engaged in bizarre adventures frequently
inspired by science fiction.
D) were more "realistic" than their Golden Age
counterparts.
The statement most effectively sets up the main idea is the they were more "realistic" than their Golden Age counterparts. Thus option D is correct option.
According to the statements
we have to find that the correct statements from the given statements.
So, For this purpose, we know that the
Since the passage is talking about a change in focus to one character compared to many in comic books, the appropriate introduction would be D because a were more "realistic" than their Golden Age counterparts. When looking at the rest of the answers, you can use the process of elimination to find the best choice. The provided introduction introduces a completely different topic, so it cannot be correct. Answer C also is introducing a new topic, and Answer D doesn't work because the passage wasn't talking about the value of these comic books.
So, from all this discussion Option D is a correct.
So, The statement most effectively sets up the main idea is the they were more "realistic" than their Golden Age counterparts. Thus option D is correct option.
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what is an example of identity property of addition ?
Identity properties of addition are known to commutative in nature.
Given A and B, A and B are commutative or possess identity property of addition if;
A+B = B+A
For identity property, the two integers you are summing must include zero. For exmaple, a+0 = 0+a = a
The answer must always give the non-zero integer. Let us use 8 and 0 for example. This two possess the identity property of addition because;
8+0 = 0+8 = 8 (identity property of addition)
How many ounces are in a quarter ounce?
Answer:
hi
0.25 ounces
Step-by-step explanation:
Use fraction models to solve two and three sevenths plus three and two fourths equals blank.
five and twenty six twenty eighths
five and six twenty eighths
six and twenty six twenty eighths
five and five elevenths
Answer:
Five and twenty six twenty eighths.
Step-by-step explanation:
Start with writing the fractions in numbers:
\(2\frac{3}{7} +3\frac{2}{4}\)
The 2 next to the first fraction is considered a whole number therefore we can say:
\(\frac{2}{1} *\frac{7}{7} =\frac{14}{7}\) then, \(\frac{14}{7} + \frac{3}{7} =\frac{17}{7}\)
\(2\frac{3}{7} =\frac{17}{7}\)
The 3 is also considered a whole number therefore:
\(\frac{3}{1} *\frac{4}{4} =\frac{12}{4}\) then, \(\frac{12}{4} +\frac{2}{4} =\frac{14}{4}\)
\(3\frac{2}{4} =\frac{14}{4}\)
We got our 2 fractions without whole numbers now which makes it easier to add them up however they have different denominators meaning we can't add them.
\(\frac{17}{7} +\frac{14}{4}\) not possible to add up.
We have to find a common factor, we will do this by looking at our times tables and realizing that 7x4= 28 and 4*7= 28. This will ensure both dominators are the same.
\(\frac{17}{7} *\frac{4}{4} =\frac{68}{28}\)
\(\frac{14}{4} *\frac{7}{7} =\frac{98}{28}\)
Now we got both fractions with equal denominators which means we can add them up as you would with normal numbers:
\(\frac{68}{28} +\frac{98}{28} =\frac{166}{28}\)
We need to make sure to simplify the resultant fraction now, we know that 28*5= 140 and 28*6= 168, we will use 5 as our whole unit since it fits (168 is greater than 166 therefore we can't use that):
\(\frac{166}{28} =5\frac{26}{28}\) (this is the answer on the answer choices)
Now just simplify 26 over 28:
\(5\frac{26}{28}=5\frac{13}{14}\)
This gives us our final answer of 5 and thirteen fourteenths however judging from the answer choices our answer will be five and twenty six twenty eighths.
The owner of a movie theater company used multiple regression analysis to predict gross revenue (y) as a function of television advertising (x1) and newspaper advertising (x2).The estimated regression equation was
ŷ = 83.6 + 2.26x1 + 1.40x2.The computer solution, based on a sample of eight weeks, provided SST = 25.8 and SSR = 23.395.
(a) Compute and interpret R2 and Ra2.(Round your answers to three decimal places.)
The proportion of the variability in the dependent variable that can be explained by the estimated multiple regression equation is__________ . Adjusting for the number of independent variables in the model, the proportion of the variability in the dependent variable that can be explained by the estimated multiple regression equation is_____________.
The proportion of variability in gross revenue that can be explained by the estimated multiple regression equation is 0.910. Adjusting for the number of independent variables, the proportion of variability that can be explained is 0.858.
R-squared (R2) measures the proportion of variability in the dependent variable that can be explained by the independent variables in the regression model. In this case, R2 is calculated by dividing SSR (sum of squares regression) by SST (total sum of squares): R2 = SSR/SST. Therefore, R2 = 23.395/25.8 = 0.910, which means that 91% of the variability in gross revenue can be explained by the two independent variables (television and newspaper advertising) in the model.
However, as the number of independent variables in the model increases, R2 tends to overestimate the proportion of variability that can be explained by the model. Therefore, an adjusted R2 (Ra2) is used to account for the number of independent variables in the model. Ra2 is calculated by subtracting the residual mean square (MSE) from 1 and multiplying by (n-1)/(n-k-1), where n is the sample size and k is the number of independent variables in the model. Therefore, Ra2 = (1 - MSE/SST) x (n-1)/(n-k-1) = (1 - 1.436/25.8) x (8-1)/(8-2-1) = 0.858, which means that after adjusting for the number of independent variables, 86% of the variability in gross revenue can be explained by the two independent variables in the model.
Therefore, the estimated multiple regression equation is a good fit for the data and can explain a large proportion of the variability in gross revenue, even after adjusting for the number of independent variables in the model
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Which number(s) satisfy a ∩ c? 16, 81 1, 16, 81 1, 4, 9, 16, 25, 36, 49, 81, 100 1, 4, 9, 16, 25, 36, 49, 64, 81, 100
Answer:
Step-by-step explanation:
B: 1, 16, 81
WHY?
Set A is perfect squares from A to 100:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
8^2 = 64
9^2 = 81
10^2 = 100
Set A = 1, 4, 9, 16, 25, 36, 49, 64, 81, 100
Set C is perfect fourths
1^4 = 1
2^4 = 16
3^4 = 81
4^4 = 254 (This is greater than 100)
Set C = 1, 16, 81
Hope this helps :)
Which is not a statistical question? * 1 point how much did the corn plants grow last week? what is the height of the tallest corn plant? how much water did the corn plants get each day last month? how tall are the corn plants?
The option that is not a statistical question is D. how tall are the corn plants?
What is a statistical question?A statistical question is one that may be answered by gathering data and for which the data will vary. Questions answered with a single data point are not statistical questions since the data utilized to answer the question is not variable.
A statistical question is one that can be answered by gathering varying amounts of data. A statistical inquiry is one that yields varying responses and outcomes (data). It must be collected on more than one person and there must be room for the facts to vary.
Therefore, based on the information illustrated, the correct option is D. It was too general and not specific
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guy pls help me!!!!!
Help please!!! Which graph represents a system of equations with NO SOLUTION. Explain how you know.
Answer:graph B
Step-by-step explanation:because if a line is parallel they have no solutions with a certain slope
If two lines intersect then they must have at least a solution
The graph of the relation T is shown below
The required domain is for the relation T is (-4, 0, 2, 3) and the range is (-2, 2, 2, 4).
Given that,
A relation is given we have to determine the domain and range of the relation.
Range, it is the set of values that come out to an outcome for a certain mathematical operation.
here,
A graph has been shown, over which there are multiple dot every dot represents a common relationship.
So, every abscissa of the point is an element of the domain of the relationship function, and every ordinate of the point is an element of the relationship function so,
Domain = {-4, 0, 2, 3}
Range = {-2, 2, 2, 4}
Thus, the required domain is for the relation T is (-4, 0, 2, 3) and the range is (-2, 2, 2, 4).
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3 gallons to quarts? pls answer now im being timed
By Unitary method, 3 gallons = 12 quarts
We know that the the unit conversion,
one liquid gallons is equals to the four liquid quarts
i.e., 1 gallon = 4 quarts
We need to find the 3 gallons to quarts.
Let us assume that x represents the required amount of liquid quarts.
By Unitary method,
⇒ x = 3 × 4
⇒ x = 12 quarts of liquid
Therefore, the unit conversion 3 gallons equals to 12 quarts.
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PLEASE URGENTLY ANSWER THESE 2 QUESTIONS, I WILL PROVIDE MORE POINTS AND CROWN YOU BRAINLIEST IF YOU DO!!!
-
Use a virtual dice roller or a physical die to roll a die 60 times. record your results in the table below:
Number-----Frequency
1----------------------15
2---------------------13
3---------------------5
4---------------------9
5---------------------8
6---------------------10
What is the proportion of times did you roll a 1? (Already answered)
15 Times (This will be your value of p-hat)
1. Say you want to analyze how likely it is that you rolled the proportion of 1s that you did. Would it be appropriate to use a normal model to figure this out? why or why not?
2. Find the probability that the proportion of 1s that you rolled is less than your value of p-hat. Interpret what you find in context.
Answer:
1. I would think it would be a appropriate to use a normal model to figure this out because sometimes when you are using stuff online you can get the same number like 20 times in a row, whereas, if you use a real dice, you most likely won't roll the same number 20 times.
2. { sorry two doesn't make sense }
Can somebody help me solve this problem I tried and kept getting it wrong.
Answer:
a=2 and b=8
Step-by-step explanation:
Monica has $20. she needs to buy a gallon of milk that costs $2.50. she also wants to buy yogurt, which costs $1.20 a cup. which inequality can you use to find the number of cups of yogurt monica can buy? 1.20x 2.5 greater-than-or-equal-to 20 1.20x 2.5 less-than-or-equal-to 20 1.20x 2.5 < 20 1.20x 2.5 > 20
The inequality which is used to find the number of cups of yogurt Monica can buy is,
\(1.20x+2.5\leq20\)
What is the inequality equation?Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
Monica needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. Let suppose the number of cups of yogurt bought by Monica is x.
As she has only $20. Thus, the inequality expression which can be used for this condition is,
\(1.20x+2.5\leq20\)
Solve the above equation and find the value of x,
\(1.20x\leq20-2.5\\1.20x\leq17.5\)
Divide both side with 1.20,
\(x\leq\dfrac{17.5}{1.20}\\x\leq14.58\overline3\)
Hence, the number of cups she can Monica is 14.
Thus, the inequality which is used to find the number of cups of yogurt Monica can buy is,
\(1.20x+2.5\leq20\)
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Answer:
b
Step-by-step explanation:
simplify
(8p^6)^1/3
simplifyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answer:
\(2p^2\)
Step-by-step explanation:
Step 1: Apply the exponentiation property:
\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)
Step 2: Simplify the cube root of 8:
The cube root of 8 is 2:
\(8^\frac{1}{3} =2\)
Step 3: Simplify the cube root of \((p^6)\):
The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)
Step 4: Combine the simplified terms:
\(2 * p^2\)
So, the simplified expression is \(2p^2\).
What is the check digit, d, for the credit card number shown below?
6424 9813 2720 008d
А. 1
B. 3
с. 5
D. 7
Answer:
A.1
Step-by-step explanation:
I did a check digit calculator and it said that this would be the check digit
The check digit is 1.
Step-by-step explanation:
The check digit on credit is calculated by the following step:
Mark each digit odd and even from the right side.Now multiply each digit at an even place with '2'.And if the number after multiplication is double-digit then add both the digit to obtain a single digit.Now add all the digits obtained in the previous step along with digits at odd places.To this sum obtained check by adding what digit it becomes next multiple of '10'.And that digit will be our check digit.Given:
The creditcard number: 6424 9813 2720 008d
To find :
Check digit,d
Solution:
6424 9813 2720 008d
Marking odd and even places from right side:
(e:even place,o:odd place)
e,o,e,o e,o,e,o e,o,e,o e,o,e,o
6 4 2 4 9 8 1 3 2 7 2 0 0 0 8 d
Multipling every even place digit with '2'.
12,4,18,2,4,4,0,16
If two digit number then add both digits to have single digit
12,4,18,2,4,4,0,16 → 1+2,4,1+8,2,4,4,0,1+6 → 3,4,9,2,4,4,0,7
Now adding all the digits obtained in prevoius step with digits at odd place:
(3+4+9+2+4+4+0+7)+(4+4+8+3+7+0+0)= 59
The next multiply of 10 can be obtained by adding 1 to '59' that is 60. So, the check digit will be'1'.
59+1 = 60
(60 is a multiple of the number '10'.)
The check digit is 1.
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Please help, I will give brainliest to the best answer. No links.
Answer:
Step-by-step explanation:
000111
2⁵×0 + 2⁴×0 + 2³×0 + 2²×1 + 2¹×1 + 2⁰×1 = 7
000111 = 7
000100
2⁵×0 + 2⁴×0 + 2³×0 + 2²×1 + 2¹×0 + 2⁰×0 = 4
000100 = 4
001100
2⁵×0 + 2⁴×0 + 2³×1 + 2²×1 + 2¹×0 + 2⁰×0 = 12
001100 = 12
111001
2⁵×1 + 2⁴×1 + 2³×1 + 2²×0 + 2¹×0 + 2⁰×1 = 57
111001 = 57
I hope I've helped you.
There are 14 dark tiles and 4 light tiles. Which of these is NOT a ratio of the number of dark tiles to the number of light tiles?
Answer:
which one of what...?
Step-by-step explanation:
........
Answer:
D. 14+4.
because why not
graph y=4/5x - 7 pls
Answer:
I'm not exactly sure what you want answered here because you have the correct graph, but this is my graph and it's the same as yours
A project has five activities with the durations (days) listed
below:
Activity
Precedes
Expected
Duration
Variance
Start
A, B
-
-
A
C
40
0.31
B
E
32
0.25
C
D
21
0.35
The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.
To determine the critical path of the project, we need to find the longest path of activities that must be completed in order to finish the project on time. This is done by calculating the earliest start time (ES) and earliest finish time (EF) for each activity.
Starting with activity A, ES = 0 and EF = 4. Activity B can start immediately after A is complete, so ES = 4 and EF = 7. Activity C can start after A is complete, so ES = 4 and EF = 6. Activity D can start after B is complete, so ES = 7 and EF = 9. Finally, activity E can start after C and D are complete, so ES = 9 and EF = 11.
The variance for each activity is also given, which allows us to calculate the standard deviation and determine the probability of completing the project on time. The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.
Using the expected durations and variances, we can calculate the standard deviation of the critical path. This information can be used to determine the probability of completing the project on time.
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a.no
b.yes
the question is in the picture
B. yes, it's a function
The variable b varies directly as the square root of c. If b = 100 when c = 4, which equation can be used to find other combinations of b and c? A. B. C. D.
Answer:
b. b=50√c
Step-by-step explanation:
The equation can be used to find other combinations of b and c will be b = 50√c. Then the correct option is B.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The variable b varies directly as the square root of c.
b ∝ √c
If the proportionality sign is removed with the equal sign, then a constant (k) is introduced.
b = k√c
If b = 100 when c = 4.
Then the value of k will be
100 = k√4
100 = 2k
100 / 2 = k
k = 50
Substitute the value of k in equation, then the equation will be
b = 50√c
The equation can be used to find other combinations of b and c will be b = 50√c.
Then the correct option is B.
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Solve the system of linear equations
{x + y + 2z - w = -2 {3y + z + 2w = = 2 {x + y + 3w = 2 {-3x + z + 2w = 5
The given system of linear equations consists of four equations with four variables: x, y, z, and w. To solve the system, we can use various methods, such as Gaussian elimination or matrix operations.
By performing row operations, we can reduce the system to its row-echelon form or solve it directly to find the values of x, y, z, and w. We will solve the system of linear equations using the method of Gaussian elimination. The augmented matrix representation of the system is:
[1 1 2 -1 | -2]
[0 3 1 2 | 2]
[1 1 0 3 | 2]
[-3 0 1 2 | 5]
First, we'll perform row operations to transform the matrix into the row-echelon form:
R2 = R2 - 3R1
R3 = R3 - R1
R4 = R4 + 3R1
The resulting matrix after these operations is:
[1 1 2 -1 | -2]
[0 0 -5 5 | 8]
[0 0 -2 4 | 4]
[0 3 1 2 | 5]
Next, we'll perform additional row operations to further simplify the matrix:
R4 = R4 - 3R2
The matrix now becomes:
[1 1 2 -1 | -2]
[0 0 -5 5 | 8]
[0 0 -2 4 | 4]
[0 3 1 2 | -19]
Finally, we'll perform the last row operation:
R3 = R3 + 2R2
The matrix is now in row-echelon form:
[1 1 2 -1 | -2]
[0 0 -5 5 | 8]
[0 0 0 14 | 20]
[0 3 1 2 | -19]
From this row-echelon form, we can solve for the variables. Starting from the bottom row, we obtain:
3w + z + 2w = -19, which simplifies to 5w + z = -19.
Next, we have 0x + 0y - 5z + 5w = 8, which simplifies to -5z + 5w = 8.
Lastly, x + y + 2z - w = -2.
At this point, we have three equations with three variables: x, y, and z. By solving this simplified system, we can find the values of x, y, and z.
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Help please I NEED TO PASS :(((((
Answer:
The answer should be C
Step-by-step explanation:
I just got done calculating it and according to my calculations it should be C
Jeremy has volleyball practice every third day in soccer practice every 5th day today he had both practices and how many days will he have both practices on the same day again
Answer:
He will have it on the 15th day
Calculating the Number of Periods [LO4] You expect to receive $39,000 at graduation in two years. You plan on investing it at 10 percent until you have $174,000. How long will you wait from now? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Period years
You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.
To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:
FV = PV * \((1 + r)^n\)
Where:
FV is the future value
PV is the present value (initial investment)
r is the interest rate per period
n is the number of periods
In this case:
PV = $39,000
FV = $174,000
r = 10% per year
Let's calculate the number of periods (years):
FV = PV * \((1 + r)^n\)
174,000 = 39,000 * \((1 + 0.10)^n\)
Divide both sides by 39,000:
4.4615 = \((1.10)^n\)
Take the logarithm of both sides to solve for n:
log(4.4615) = n * log(1.10)
n ≈ log(4.4615) / log(1.10)
n ≈ 2.1270 / 0.0414
n ≈ 51.33 (rounded to two decimal places)
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Santiago and some friends are going to the movies. At the theater, they sell a bag of popcorn for $5.75 and a drink for $3.50. How much would it cost if they bought 4 bags of popcorn and 8 drinks? How much would it cost if they bought pp bags of popcorn and dd drinks?
Answer:
$23 for popcorns and $28 for drinks the sum is $51
Step-by-step explanation:
The total cost of buying 4 bags of popcorn and 8 drinks is $51.
What is the meaning of the term “cost”?A cost is the worth of money that has been expended to produce something or provide a service and is therefore no longer available for use in production, research, retail, and accounting.
In the case of an acquisition cost, the money spent on the acquisition is considered the cost. All costs associated with obtaining and preparing materials for sale are referred to as "Cost of Purchase," or “Cost of buying,” respectively.
As per the available information,
Selling price of a single popcorn bag is $5.75.
Selling price of a single drink is $3.50.
Value or total amount of cost will be calculated against 4 bags of popcorn and 8 drinks.
Cost of popcorns = 4 × 5.75 = 23
Cost of drinks = 8 × 3.50 = 28
23 + 28 = 51
Therefore, total cost of buying 4 bags of popcorn and 8 drinks is $23 for popcorns and $28 for drinks, the sum is $51
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Kate is a buyer for a men’s fashion retail store. She will order a new cloth overcoat from Paris for the fall fashion season. Based on her experience, she expects to sell at least 100 coats, and at most 400, but she feels that any number of sales in between is equally likely. Therefore, she estimates that her sales are uniformly distributed between 100 and 400. The total cost to the store is $100 per coat, and the retail price is set at $180. Any coats left over at the end of season would be sold at $60 each.
part 1: a) How many coats should Kate buy if she wants to maximize profits?
part 2: b) Assume Kate buys the number of coats suggested in part a), what is the probability that the coats sell out? What is the probability that they do not sell out?
Part 1: Kate should buy 100 coats to maximize profits.Part 2: The probability that the coats sell out is 0.25 (25%), and the probability that they do not sell out is 0.75 (75%).
To maximize profits, Kate should consider the scenario where she sells all the coats without any left over at the end of the season.
Since the sales are uniformly distributed between 100 and 400, buying 100 coats ensures that she meets the minimum expected sales of 100. Purchasing more than 100 coats would increase costs without a guarantee of higher sales, potentially leading to excess inventory and lower profits.
Given that the sales are uniformly distributed between 100 and 400 coats, Kate's purchase of 100 coats covers the minimum expected sales.
The probability of selling out can be calculated by finding the proportion of the range covered by the desired sales (100 out of 300). Therefore, the probability of selling out is 100/300 = 0.25 or 25%. The probability of not selling out is the complement, which is 1 - 0.25 = 0.75 or 75%.
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