The major multivariate technique for examining variable interdependence is factor analysis.
Factor analysis is a multivariate statistical technique used to identify patterns in the relationships among a large number of variables. Specifically, it is used to examine variable interdependence, which refers to the degree to which variables are related to one another in a dataset.
In factor analysis, the goal is to identify underlying factors or dimensions that account for the observed patterns of correlation among the variables. By doing so, it is possible to reduce the number of variables to a smaller set of factors that capture the essential information contained in the original variables. This can be useful for a variety of purposes, such as data reduction, hypothesis testing, and exploratory data analysis.
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Read the following sentences and then select the answer option that correctly combines them without changing the original meaning.
Our house needs to be repainted. We want it to sell it more quickly.
A.
Because our house needs to be repainted, we want it to sell more quickly.
B.
Our house, which we want to sell more quickly, needs to be repainted.
C.
Our house that needs to be repainted, we want it to sell more quickly.
D.
Our house needs to be repainted, so we want it to sell more quickly
The correct answer is D. "Our house needs to be repainted, so we want it to sell more quickly" correctly combines the two sentences without changing their original meaning. This sentence shows the cause-and-effect relationship between the two ideas, indicating that the reason why they want to repaint the house is to sell it more quickly.
What is grammar ?Grammar is the system of rules and conventions used to structure language, including how words and phrases are arranged to create meaningful sentences. It encompasses the syntax, morphology, and semantics of a language, as well as its phonology and orthography.
According to given information :The original sentences are:
"Our house needs to be repainted. We want it to sell it more quickly."
The two sentences express two separate ideas: the first sentence states that the house needs to be repainted, while the second sentence expresses the desire to sell the house more quickly. To combine the two sentences without changing their meaning, we need to find a way to show the relationship between the two ideas.
Option A: "Because our house needs to be repainted, we want it to sell more quickly."
This sentence shows a cause-and-effect relationship between the two ideas, but it changes the meaning slightly. It implies that the only reason they want to sell the house more quickly is that the house needs to be repainted, which may not be true.
Option B: "Our house, which we want to sell more quickly, needs to be repainted."
This sentence puts more emphasis on the desire to sell the house quickly, but it changes the meaning of the original sentences. It implies that the only reason the house needs to be repainted is that they want to sell it more quickly, which may not be true.
Option C: "Our house that needs to be repainted, we want it to sell more quickly."
This sentence is grammatically incorrect. It also changes the meaning of the original sentences. It implies that the reason they want to sell the house more quickly is that the house needs to be repainted, which may not be true.
Option D: "Our house needs to be repainted, so we want it to sell more quickly."
This sentence correctly shows the cause-and-effect relationship between the two ideas without changing their original meaning. It indicates that the reason they want to repaint the house is to sell it more quickly, which makes sense. This is the best option to combine the two sentences while retaining their original meaning.
Therefore, the correct answer is D. "Our house needs to be repainted, so we want it to sell more quickly" correctly combines the two sentences without changing their original meaning. This sentence shows the cause-and-effect relationship between the two ideas, indicating that the reason why they want to repaint the house is to sell it more quickly.
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How many times more material was used to build the Hoover dam than the American falls down record your answer to the nearest whole number
57 times more material was used to build the Hoover dam than the American falls .
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Volume of Hover dam = 4 x \(10^6\)
Volume of American Falls dam = 7 x \(10^4\)
So, the number of times more material used
= Volume of Hover dam / Volume of American Falls dam
= 4 x \(10^6\) / 7 x \(10^4\)
= 400 x \(10^4\) / 7 x \(10^4\)
= 57.14
Hence, 57.14 times more material used.
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Determine if the set (x1,x2)+(y1,y2)=(x1-x2, y1+y2) is a vector space
The set (x1,x2)+(y1,y2)=(x1-x2, y1+y2) is not a vector space.
A set is a vector space if it satisfy all the addition operation axiom and scalar multiplication axiom.
Addition operation:
Commutativity -
(x1, x2) + (y1, y2) equals (x1 - x2, y1 + y2) equals (y1, y2) + (x1, x2)
Associativity -
(x1, x2) plus ((y1, y2) plus (z1, z2)) = (x1, x2) + (z1 + y1, z2 + y2) = (x1+ y1 + z1, x2 + y2 + z2) =
((x1, x2) + (y1, y2)) + (z1, z2)
Zero element -
(0, 0) → (x1, x2) + (0, 0) = (x1, x2)
Inverse element -
(x1, x2) adding (-x1, -x2) = (0, 0)
Scalar multiplication:
Compatibility -
a(b (x, y)) = a(bx, 0) = (abx, 0) = b(ax, 0) = b(a(x, y))
Identity element -
1(x, y) = (x, 0) ≠ (x, y) [Identity element doesn’t exist for this operation.)
Distributivity law -
a((x1, x2) + (y1, y2)) = a(x1 + y1, x2 + y2) = (a(x1 + y1), 0) = a(x1, x2) + a(y1, y2)
Distributivity law -
(a + b)(x, y) = ((a + b)x, 0) = (ax, 0) + (bx, 0) = a(x, y) + b(x, y)
The scalar multiplication postulate is not fulfilled in this space (this operation does not have the identity element). It is therefore not a vector space.
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At a dance show, 60 performers were placed in groups of two or three performers. There were an equal number of groups of 2 performers. Each group was given 4 ribbons to perform the dance. What was the total number of ribbons given
The total number of ribbons given to the groups are 120 ribbons
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The number of performers = 60 performers
The number of performers in each groups = 2 performers
So ,
Total number of groups =
number of performers / number of performers in each groups
Total number of groups = 60 / 2
= 30 groups
Now ,
Number of ribbons given to each group = 4 ribbons
So ,
Total number of ribbons distributed =
Number of ribbons given to each group x Total number of groups
Total number of ribbons distributed = 4 x 30
= 120 ribbons
Hence , the total number of ribbons given to the groups are 120 ribbons
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i need help asappppp
Answer:
make them all the separate rectangle
like 5*8+5*8+12*(15-8) = Answer
got it ?
Answer:
5*8=40
+5*8=40
+(15-8)= 7*12 =84 + 80
=164
Step-by-step explanation:
ps happy thanksgiving
Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation can he use to find n, the number of gallons of water he should remove?
3.52 (22 minus n) = 0.24
StartFraction 22 minus n Over 3.52 EndFraction = StartFraction 24 Over 100 EndFraction
StartFraction 3.52 Over 22 minus n EndFraction = StartFraction 24 Over 100 EndFraction
3.52 + (22 minus n) = 0.24
The equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100. Option C is correct.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Amount of ammonia in the solution 16% x 22 gallons = 3.52 gallons
The proportion of ammonia remains the same as the water evaporates, but the total composition of the solution is decreased by the amount of water that evaporates.
Quantity of ammonia = 3.52 gallons
Quantity of water after evaporation = 22 - n
Composition of ammonia after evaporation of water, 24% = 24/100
Now the percentage of ammonia after evaporates
Quantity of ammonia / Remaining water = 24%
3.52 / (22 - n) = 24 / 100
Thus, the equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100.
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jean and Tom Perritz own and manage Happy Home Helpers, Inc. (HHH), a house cleaning service. Each cleaning (cleaning one house one time) takes a team o three house cleaners about 0.9 hours. HHH completes about 9.000 cleaning per year. The following total costs are associated with the total cleanings.
Direct materials $18.900
Direct labor $231.000
Variable overhead $12.600
Fixed overhead $14.400
If required, round your answers to the nearest cent.
1. Calculate the prime cost per cleaning. per cleaning
2. Calculate the conversion cost per cleaning. per cleaning
3. Calculate the total variable cost per cleaning. per cleaning
4. Calculate the total service cost per cleaning. per cleaning
5. What if rent on the office that Jean and Tom use to run HHH increased by $900 ? Which of the following statements best describes the effect of this on HHH's costs?
1. The prime cost per cleaning is $249,900 / 9,000 = $27.77
2. The conversion cost per cleaning is $243,600 / 9,000 = $27.07
3. The total variable cost per cleaning is $262,500 / 9,000 = $29.17
4. The total service cost per cleaning is $276,900 / 9,000 = $30.77
5. The fixed overhead cost would increase by $900.
1. Prime cost per cleaning:
Prime cost includes direct materials and direct labor.
Prime cost = Direct materials + Direct labor
Prime cost = $18,900 + $231,000
Prime cost = $249,900
Therefore, the prime cost per cleaning is $249,900 / 9,000 = $27.77 (rounded to the nearest cent).
2. Conversion cost per cleaning:
Conversion cost includes direct labor and variable overhead.
Conversion cost = Direct labor + Variable overhead
Conversion cost = $231,000 + $12,600
Conversion cost = $243,600
Therefore, the conversion cost per cleaning is $243,600 / 9,000 = $27.07 (rounded to the nearest cent).
3. Total variable cost per cleaning:
Total variable cost includes direct materials, direct labor, and variable overhead.
Total variable cost = Direct materials + Direct labor + Variable overhead
Total variable cost = $18,900 + $231,000 + $12,600
Total variable cost = $262,500
Therefore, the total variable cost per cleaning is $262,500 / 9,000 = $29.17 (rounded to the nearest cent).
4. Total service cost per cleaning:
Total service cost includes direct materials, direct labor, variable overhead, and fixed overhead.
Total service cost = Direct materials + Direct labor + Variable overhead + Fixed overhead
Total service cost = $18,900 + $231,000 + $12,600 + $14,400
Total service cost = $276,900
Therefore, the total service cost per cleaning is $276,900 / 9,000 = $30.77 (rounded to the nearest cent).
5. If the rent on the office increased by $900, it would affect HHH's fixed overhead cost. The fixed overhead cost would increase by $900. This would lead to an increase in the total service cost per cleaning, as the fixed overhead is a component of the total service cost.
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7. Solve for x.
(9x - 18)
Answer: 2
Step-by-step explanation: 18/9=2
9x/9=x
x=2
Apply the rules of exponents and solve, leaving your answer in base-exponent form:
5354=
575-2=
(73)5=
To solve the expressions using the rules of exponents, we applied the Product Rule, Quotient Rule, and Power Rule. By simplifying the expressions, we obtained the final answers: \(5^7, 5^9,\) and \(7^{15\).
To apply the rules of exponents and solve the given expressions, we'll use the following properties:
Product Rule: \((a^m)(a^n) = a^{(m+n)\)
Quotient Rule: \((a^m)/(a^n) = a^{(m-n)\)
Power Rule: \((a^m)^n = a^{(m*n)\)
Negative Exponent Rule:\(a^{(-n) }= 1/(a^n)\)
Now let's solve each expression:
\(5^3 * 5^4:\)
Using the Product Rule, we can add the exponents since the base (5) is the same:
\(5^3 * 5^4 = 5^{(3+4)} = 5^7\)
\(5^7 / 5^{(-2):\)
Using the Quotient Rule, we subtract the exponents:
\(5^7 / 5^{(-2)} = 5^{(7-(-2))} = 5^9\)
\((7^3)^5:\)
Using the Power Rule, we multiply the exponents:
\((7^3)^5 = 7^{(3*5)} = 7^{15\)
Therefore, the simplified forms of the given expressions are:
\(5354 = 5^7\)
\(575-2 = 5^9\)
\((73)5 = 7^{15\)
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what is the lowest base in which the number 1000 could be a valid number?
The highest power of 2 that is less than or equal to 1000 is 2^9, which gives us the required representation of 1000.
In mathematics, a base is the number of digits or distinct symbols used to represent numbers in a positional numeral system. For example, in the decimal system (which we commonly use), the base is 10 because we use 10 distinct digits from 0 to 9.
Now, let's consider the number 1000. In order to find the lowest base in which this could be a valid number, we need to break down 1000 into its constituent digits. Since 1000 has 4 digits, we can represent it as:
1000 = 1 x base^3 + 0 x base^2 + 0 x base^1 + 0 x base^0
where base is the number system we are using. Now, we need to find the lowest value of base that makes this equation valid.
We can see that if we set base = 2, then the equation becomes:
1000 = 1 x 2^9 + 0 x 2^8 + 0 x 2^7 + 0 x 2^6 + 0 x 2^5 + 0 x 2^4 + 0 x 2^3 + 0 x 2^2 + 0 x 2^1 + 0 x 2^0
Here, we have used the binary system, which has a base of 2. As we can see, the highest power of 2 that is less than or equal to 1000 is 2^9, which gives us the required representation of 1000.
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what is the relationship between educational achievement and home ownership? a random sample of 500 people who participated in the 2000 census was chosen. each member of the sample was identified as a high school graduate (or not) and as a home owner (or not). overall, 340 were homeowners, 310 were high school graduates, and 221 were both homeowners and high school graduates.
We can conclude that there is a positive association between educational achievement and home ownership.
To understand the relationship between educational achievement and home ownership based on the given information,
we can analyze the overlapping groups within the random sample.
Let's define the following terms:
- A = Number of people who are homeowners
- B = Number of people who are high school graduates
According to the information provided:
- A = 340 (number of homeowners)
- B = 310 (number of high school graduates)
- A ∩ B = 221 (number of people who are both homeowners and high school graduates)
Based on this, we can analyze the relationships as follows:
1. Proportion of homeowners who are high school graduates:
To find this proportion, we divide the number of homeowners who are high school graduates (A ∩ B) by the total number of homeowners (A):
Proportion = (A ∩ B) / A = 221 / 340
2. Proportion of high school graduates who are homeowners:
To find this proportion, we divide the number of high school graduates who are homeowners (A ∩ B) by the total number of high school graduates (B):
Proportion = (A ∩ B) / B = 221 / 310
3. Proportion of high school graduates who are not homeowners:
To find this proportion, we subtract the number of high school graduates who are homeowners (A ∩ B) from the total number of high school graduates (B):
Proportion = B - (A ∩ B) = 310 - 221
Based on the information provided, we can calculate the proportions and make conclusions about the relationship between educational achievement and home ownership. However, without specific values for the proportions, we cannot determine the exact nature of the relationship.
The relationship between educational achievement and home ownership can be analyzed based on the given information. In the random sample of 500 people from the 2000 census, 340 were homeowners, 310 were high school graduates, and 221 were both homeowners and high school graduates.
From this data, we can conclude that there is a positive association between educational achievement and home ownership. This means that being a high school graduate increases the likelihood of being a homeowner. However, it is important to note that this relationship does not imply causation.
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in the country of united states of heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.3 inches, and standard deviation of 4.3 inches. what is the probability that the height of a randomly chosen child is between 44.75 and 58.35 inches? do not round until you get your your final answer, and then round to 3 decimal places.
The probability that the height of a randomly chosen child is between 44.75 and 58.35 inches is approximately 0.8830.
To solve this problem, we need to find the area under the normal curve between the two given heights.
We can use the standard normal distribution by converting the given values into z-scores. The formula for calculating a z-score is
z = (x - μ) / σ
where x is the value we want to convert, μ is the mean of the distribution, and σ is the standard deviation of the distribution.
For the lower bound of 44.75 inches
z1 = (44.75 - 53.3) / 4.3 = -1.98
For the upper bound of 58.35 inches
z2 = (58.35 - 53.3) / 4.3 = 1.17
Now, we need to find the area under the normal curve between these two z-scores. We can use a standard normal table or a calculator to find this probability.
Using a standard normal table, the probability of z being between -1.98 and 1.17 is approximately 0.8830.
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Find the value of g (-2) if g(x) = x3 - x
Answer: -6
Step-by-step explanation:
See attached picture
Highlighter pens cost $3. 86 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these pens? n = 3. 86P P equals 3. 86 over n n equals 3. 86 over P P = 3. 86n.
Answer:
Total = ($3.86)n, but it ids not among the answer options.
Step-by-step explanation:
P would be equal to the price per pen set ($3.86) times the number of pen sets sold, n.
Total, P = ($3.86)n
I translated the paragraph into these options:
n = 3. 86P No, n = P/3.86
P = 3. 86/n No, P = 3.86n
n = 3. 86/P No, n = P/3,86
P = 3. 86n.
algebra 2 assignment three variable HELPPP 13 points
The team scored 2 field goals, 2 safeties, and 4 touchdowns.
Define the term equation?A statement proving the equality of two mathematical expressions is known as an equation. The goal is frequently to ascertain the values of the variables that make the equation true, and it may have one or more variables.
The football team scored 8 times and a total of 38 points.
Let T be the number of touchdowns, F be the number of field goals, and S be the number of safeties.
We know, T = F + S and F + S = 4
Substituting, T = F + S into the equation for total points,
we get, 7T + 3F + 2S = 38
Solving for F and S, we get F = 2 and S = 2.
Therefore, the team scored 2 field goals, 2 safeties, and 4 touchdowns.
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Solve for F and S then get F = 2 and S = 2.
The team scored 4 touchdowns, 2 field goals, and 2 safeties.
How to calculate DF score?The football group scored 8 times, totaling 38 points.
Let,
T is the no.of touchdowns,
F is the no.of field goals, and
S is the no.of safeties.
Touchdown: The ball is in possession of a runner who has moved from the field of play into the end zone and is on, above, or behind the plane of the opposing goal line (extended).
Field Goal: a three-point goal in football obtained by kicking the ball over the crossbar during normal play.
Safeties: NFL defences can score a safety, worth two points, by tackling the offensive player with the ball behind his own goal line or forcing him to run or throw the ball out of bounds behind his own goal line.
We know that,
T = F + S and
F + S = 4
For total points, put T = F + S into the equation.
We get,
7T + 3F + 2S = 38
Solve for F and S,
we get,
F = 2 and S = 2.
As a result, the team tallied 2 field goals, 2 safeties, and 4 touchdowns.
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I need help
Solving this problem
The value of x is 44.
In the given figure,
A line segment is divided by another line by making angles
6x - 20 and 2x + 24
We know that,
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Also, sum of all angles on the same line = 180 degree
Therefore adding these two angles,
6x - 20 + 2x + 24
= 4x + 4
Now equating it with 180 degree
we get,
4x + 4 = 180
⇒ 4x = 176
⇒ x = 44
Hence, x = 44
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Evaluate |-11| + |-7|.
-18
-4
4
18
Answer: D) 18
======================================================
Explanation:
|-11| simplifies to 11
|-7| simplifies to 7
Whatever is inside the absolute value, you just remove the negative and that's the result of that absolute value expression. It represents the distance on a number line. So for instance -11 is 11 units from 0, which is why |-11| = 11.
Overall,
|-11| + |-7| = 11 + 7 = 18
Which of the following are proper units of mass in the Metric System? Check
all that apply.
A. liter
B. gram
C. milligram
D. pound
Answer:
Here are the correct answers:
B. gram
C. milligram
Which test statistic should be used when computing a confidence interval given only the number in a sample, the sample mean and sample standard deviation?.
T test is used to compute the confidence interval, when the mean and standard deviation is given.
What is Standard Deviation?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be very close to the set mean. The lower case Greek letter (sigma), again for population standard deviation, or even the Latin letter s, again for sample standard deviation, are most frequently used in mathematical texts and equations to represent standard deviation. Standard deviation may be abbreviated as SD. A random variable, specimen, statistical population, data set, as well as probability distribution's standard deviation is equal to the square root of its variance. When the number in a sample, sample mean and sample standard deviation is given, the test statistic that should be used when computing a confidence interval is t test
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The area enclosed by a circular fountain is 78.57 m². What is the diameter of the
fountain? Round your answer to the nearest meter.
Answer:
multiply the radius by 2 to get the diameter.
Step-by-step explanation:
Lashondra's playlist has 9 times as many songs as Harriette's playlist.-Velora-has 7 times as many songs on her playlist as Harriette does. If they combined their playlists, they would have 986 songs
Harriette has 58 songs in her playlist.
No of the songs in Lashondra's playlist = Nine times Harriette's playlist
No of the songs in Velora's playlist = Seven times Harriette's playlist
Total number of songs combined by all = 986
Let the number of songs in Harriette's playlist be x.
According to the problem,
9x + 7x + x = 986
⇒ 17x = 986
⇒ x = 58
Answer) Harriette's playlist has 58 songs.
We have taken the number of songs in Harriette's playlist as x as the other numbers were given in relation to this playlist. Thus, the variable is used to create a generalized formula.
Since the total number of songs is given, we can carry out simple algebraic addition and simplification to find out the answer.
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The entire question is given below:
Lashondra's playlist has 9 times as many songs as Harriette's playlist.-Velora-has 7 times as many songs on her playlist as Harriette does. If they combined their playlists, they would have 986 songs. How many questions does Harriette have in her playlist?
Assume Noah Co has the following purchases of inventory during their first month of operations
First Purchase
Second Purchase
Number of Units
130
451
Cost per unit
3.1 3.5
Assuming Noah Co sells 303 units at $14 each, what is the ending dollar balance in inventory if they use FIFO?
The ending dollar balance in inventory, using the FIFO method, is $973.
The cost of each sold unit must be tracked according to the sequence of the unit's purchase if we are to use the FIFO (First-In, First-Out) approach to calculate the ending dollar balance in inventory.
Let's begin by utilizing the FIFO approach to get COGS or the cost of goods sold. In order to attain the total number of units sold, we first sell the units from the earliest purchase (First Purchase) before moving on to the units from the second purchase (Second Purchase).
First Purchase:
Number of Units: 130
Cost per unit: $3.1
Second Purchase:
Number of Units: 451
Cost per unit: $3.5
We compute the cost based on the cost per unit from the First Purchase until we reach the total amount sold to estimate the cost of goods sold (COGS) for the 303 units sold:
Units sold from First Purchase: 130 units
COGS from First Purchase: 130 units × $3.1 = $403
Units remaining to be sold: 303 - 130 = 173 units
Units sold from Second Purchase: 173 units
COGS from Second Purchase: 173 units × $3.5 = $605.5
Total COGS = COGS from First Purchase + COGS from Second Purchase
Total COGS = $403 + $605.5 = $1,008.5
To calculate the ending dollar balance in inventory, we need to subtract the COGS from the total cost of inventory.
Total cost of inventory = (Quantity of First Purchase × Cost per unit) + (Quantity of Second Purchase × Cost per unit)
Total cost of inventory = (130 units × $3.1) + (451 units × $3.5)
Total cost of inventory = $403 + $1,578.5 = $1,981.5
Ending dollar balance in inventory = Total cost of inventory - COGS
Ending dollar balance in inventory = $1,981.5 - $1,008.5 = $973
Therefore, the ending dollar balance in inventory, using the FIFO method, is $973.
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Let X be a continuous random variable rv distributed via the pdf f(x) =4e^(-4x) on the interval [0, infinity].
a) compute the cdf of X
b) compute E(X)
c) compute E(-2X)
d) compute E(X^2)
The cumulative distribution function (CDF) of X is\(F(x) = 1 - e^(-4x).\)
The cumulative distribution function (CDF) of a continuous random variable X gives the probability that X takes on a value less than or equal to a given value x. In this case, the CDF of X, denoted as F(x), is calculated as 1 minus the exponential function \(e^(-4x)\). The exponential term represents the probability density function (PDF) of X, which is given as \(f(x) = 4e^(-4x)\). By integrating the PDF from 0 to x, we can obtain the CDF.
The cumulative distribution function (CDF) is a fundamental concept in probability theory and statistics. It provides a way to characterize the probability distribution of a random variable by indicating the probability of observing a value less than or equal to a given value. In this case, the CDF of X allows us to determine the probability that X falls within a certain range. It is particularly useful in calculating probabilities and making statistical inferences based on continuous random variables.
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The order pairs (2,-21)and (5,45) solutions which of the following equations
What is the measure of angle onp? 50° 65° 80° 130°
Answer:
80
Step-by-step explanation:
edge 2023
i need this really quick please.
Answer:
7x-6
Step-by-step explanation:
Often %T is the preferred scale measurement because it is a linear scale while Absorbance is a logarithmic scale. Determine the Absorbance of a solution that has a 72.5% transmittance.
The absorbance of a solution that has a 72.5% transmittance is 0.139. It is important to note that absorbance is a logarithmic scale, so a small change in absorbance corresponds to a large change in the amount of light absorbed by a sample.
To determine the absorbance of a solution that has a 72.5% transmittance, we need to use the relationship between transmittance and absorbance. Transmittance is the amount of light that passes through a sample, while absorbance is the amount of light that is absorbed by a sample. These two measurements are related by the following equation:
%T = 100 x 10^(-A)
where %T is the percent transmittance and A is the absorbance.
Since %T is given as 72.5%, we can plug this value into the equation and solve for A:
72.5 = 100 x 10^(-A)
Dividing both sides by 100 gives:
0.725 = 10^(-A)
Taking the logarithm of both sides, we get:
log(0.725) = -A
Solving for A, we get:
A = -log(0.725)
Using a calculator, we can evaluate this expression to get:
A = 0.139
Therefore, the absorbance of a solution that has a 72.5% transmittance is 0.139. It is important to note that absorbance is a logarithmic scale, so a small change in absorbance corresponds to a large change in the amount of light absorbed by a sample. This makes absorbance a more sensitive measurement than transmittance for many applications in chemistry and biochemistry.
Learn more about absorbance here
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{-3,453+5,748} - {8,9703-12,749}
PLEASE GIVE ME BRAINLIEST!
I hope this helps. thank you and have a good day ;)
Answer:
{6,341}
Step-by-step explanation:
{-3,453+5,748} is the same as 5,748 - 3,453, which is equal to 2,295.{8,9703-12,749} is the same as 8,703 - 12,749, which is equal to -4,046.
{2,295} - {-4,046} = {6,341}
b) Mrs. Shakya sold a jewellery at a loss of 5%. If she had sold it at Rs 5,200 more,
she would have gained 8%. Find the cost price of the jewellery,
Answer:
\( \huge{ \fbox{ \sf{Rs \: 40000}}}\)
Step-by-step explanation:
\( \sf{Let \: CP \: ( \: cost \: price) \: be \: x}\)
\( \sf{Loss \: \% \: = 5 \% \: }\)
\( \sf{Selling \: price = CP \: - \: loss \: \% \: of \: CP}\)
\( \mapsto{ \sf x - \frac{5}{100} \times x}\)
\( \mapsto{ \sf{x - \frac{x}{20} }}\)
\( \mapsto{ \sf{ \frac{x \times 20 - x}{20} }}\)
\( \mapsto{ \sf{ \frac{20x - x}{20}}} \)
\( \mapsto{ \sf{ \frac{19x}{20}}} \)
Now, Finding the New selling price
\( \sf{New \: SP \: ( \: selling \: price)} = \frac{19x}{20} + 5200\)
\( \mapsto{ \sf{ \frac{19x + 5200 \times 20}{20}}} \)
\( \mapsto{ \sf{ \frac{19x + 10400}{20}}} \)
Finally, finding the Cost price :
We have, Profit % = 8 %
\( \sf{Cost \: price = Selling \: price \: - \: P\% \: of \: CP}\)
\( \mapsto{ \sf{x = \frac{19x + 104000}{20} - 8\% \: of \: x}}\)
\( \mapsto{ \sf{x = \frac{19x + 104000}{20} - \frac{8x}{100} }}\)
\( \mapsto{ \sf{x = \frac{19x + 104000}{20} - \frac{2x}{25} }}\)
\( \mapsto{ \sf{x = \frac{5(19x + 104000) - 2x \times 4}{100} }}\)
\( \mapsto{ \sf{x = \frac{95x + 520000 - 8x}{100} }}\)
\( \mapsto{ \sf{x = \frac{87x + 520000}{100}}} \)
\( \mapsto{ \sf{100x = 87x + 520000}} \: \: ( \sf{Cross \: multiplication}\)
\( \mapsto{ \sf{100x - 87x = 520000}}\)
\( \mapsto{ \sf{13x = 520000}}\)
\( \mapsto{ \sf{x = \frac{520000}{13}}} \)
\( \mapsto{ \boxed {\sf{x = 40000}}}\)
Therefore, the cost price of the jewellery is Rs 40000
Hope I helped!
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~\( \sf{TheAnimeGirl}\)
BRAINLIEST AND SET AT 50 POINTS
Which expression is equivalent to −6 + 8 − 3x − 9x?
−12x + 14
−12x + 2
12x + 14
−12x − 2
Answer:
-12x + 2
Step-by-step explanation:
(-6) + 8 - 3x -9x
Add like terms
(-6) + 8 = 2
(-3x) + (-9x) = -12x
Put the term with the variable in front
= -12x + 2