By using probability, it can be calculated that-
the optimal number of cookies to make is 2400 dozens
What is probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probability of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
Here
Each dozen of cookies is sold for $1.99 and cost $0.99
Shortage = $(1.99 - 0.99) = $1
Cookies that are not sold at the end of the day are reduced to $0.49
Overage = $(0.99 - 0.49) = $0.5
Service = [tex]\frac{1}{1 + 0.5}\\[/tex]
[tex]=\frac{1}{1.5}\\\\=\frac{2}{3}\\\\=0.67[/tex]
Now the table is
Demand Probability of demand Cumulative probability
(Dozen)
1800 0.05 0.05
2000 0.15 0.2
2200 0.2 0.4
2400 0.3 0.7
2600 0.2 0.9
2800 0.1 1
Here the closest to service is 0.7
So the optimal number of cookies to make is 2400 dozens
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Complete Question
Famous Albert prides himself on being the Cookie King of the West. Small, freshly baked cookies are specialty of his shop. Each dozen sells for $1.99 and costs $0.99, which includes handling and transportation. Cookies that are not sold at the end of the day are reduced to $0.49 and sold the following day as day-old merchandise. Famous Albert has asked for help to determine the number of cookies he should make each day. From an analysis of past demand he estimates demand for cookies as
Demand Probability of demand Cumulative probability
(Dozen)
1800 0.05
2000 0.15
2200 0.2
2400 0.3
2600 0.2
2800 0.1
Using the information in q8, what is the optimal number of cookies to make? 2,600 dozen 2,400 dozen 2,200 dozen 2,000 dozen 2,800 dozen
2,600 dozen 2,400 dozen 2,200 dozen 2,000 dozen 2,800 dozen
100 POINTS HELP ME FINISH A tariff is a tax on imported goods. If the United States can sell oranges for $5, but Mexico can sell them in the United States for $3, which of the following is the most likely tariff price attached to Mexican oranges?
A. $2
B. $0
C. $1
Answer:
$2
Step-by-step explanation:
This way the US can compete with the lower Mexican prices.
Answer:
The answer is A($2)
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST
Quadrilateral ABCD has coordinates A(−2, 0), B(0, 4), C(4, 6), and D(2, 2).
What are the coordinates of the image of ABCD after applying the transformation (x, y) ⟶ (–x, y) and then applying (x, y) ⟶ (x, –y)?
The coordinates of the image of ABCD after applying the given transformation are, A"(2, 0), B"(0, -4), C"(-4, -6), and D"(-2, -2).
What is transformation of points?
The reflection is the kind of transformation that takes place whenever a shape's points cross a line. When the points are reflected over a line, the image is on the opposite side of the line from the pre-image and is located at the same distance from the line. The image point is reflected from each point (p, q).
Given:
Quadrilateral ABCD has coordinates A(−2, 0), B(0, 4), C(4, 6), and D(2, 2).
First to find the coordinates after applying the transformation
(x, y) ⟶ (–x, y).
So,
A(-2, 0) ⟶ A'(2, 0)
B(0, 4) ⟶ B'(0, 4)
C(4, 6) ⟶ C'(-4, 6)
D(2, 2) ⟶ D'(-2, 2)
Now applying the transformation (x, y) ⟶ (x, –y)
A'(2, 0) ⟶ A"(2, 0)
B'(0, 4) ⟶ B"(0, -4)
C'(-4, 6) ⟶ C"(-4, -6)
D'(-2, 2) ⟶ D"(-2, -2)
Hence, the coordinates of the image of ABCD after applying the given transformation are, A"(2, 0), B"(0, -4), C"(-4, -6), and D"(-2, -2).
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How do you solve for x in a quadratic equation?
Put all terms on one side of the equal sign, leaving zero on the other side.
Factor.
Set each factor equal to zero.
Solve each of these equations.
Check by inserting your answer in the original equation.
The accompanying data resulted from an experiment in which weld diameter and shear strength (in pounds) were determined for five different spot welds on steel.
Below are the data collected and the regression equation.
Strength = -941.6992 + 8.5988*Diameter
The predicted y-hat value for a diameter of 201 is 864. Interpret this predicted value.
If we choose to use a diameter of 201 for the experiment, the strength will be 786.6596.
Given, the experiment in which weld diameter and shear strength (in pounds) were measured for five distinct spot welds on steel produced the data that is included.
The gathered information and the regression equation are shown below.
Strength = -941.6992 + 8.5988×Diameter
we have to calculate the predicted y-hat value for the diameter value of 201.
Now, we are given the regression equation with the strength and diameter as the variables.
now, when we put the diameter equal to 201, the strength will be
Strength = -941.6992 + 8.5988×Diameter
Diameter = 201
Strength = -941.6992 + 8.5988×201
Strength = -941.6992 + 1,728.3588
Strength = 786.6596
So, the value of the strength be 786.6596
Consequently, the strength value when the diameter is 201 be, 786.6596.
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given are five observations collected in a regression study on two variables. 2 6 9 13 20 7 18 9 26 23 a. which of the following scatter diagrams accurately represents the data? a. b. c. d. d b. develop the estimated regression equation for these data (to decimal). c. use the estimated regression equation to predict the value of when (to decimal).
Thus, we get regression equation as 7.5 =ý - 0.9x
What is regression equation ?Regression analysis is a group of statistical procedures used in statistical modeling to calculate the associations between a dependent variable and one or more independent variables.
Here,
The points are given as:
Xi: 2; 6; 9; 13; 20
Yi: 7; 18; 9; 26; 23
From the table of values, we have:
ΣEx=2+6+9+13+ 20 = 50
ΣEy = 7+18+9+26+23=83
Also, we have:
ΣExy = 2 x 7+ 6 x 18+9x9+13 × 26 +20 × 23: 1001
ΣEx² = 22 +6² +92 +13² +20² = 690
ΣEy² =72 +18² +9² +26² +23² =1659
The slope (b) is calculated as:
b=[tex]\frac{x - \frac{xy}{D} }{x^{2} -\frac{x^{2} }{n} }[/tex]
So, we have:
b=[tex]\frac{1001 - \frac{50}{83} }{690^{2} -\frac{50^{2} }{5} }[/tex]
b = 0.9
The y-intercept (a) is calculated as:
a =ý - bx
Where
y' =Σy/n =83/5=16.6
x'=Σx/n=50/5 =10
So we get ,
a=16.5 * 9*10
a=7.5
Thus, we get regression equation as 7.5 =ý - 0.9x
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greatest common factor of 14C3 70C4 28C2
The greatest common factor of 364, 916895, 378 is 7
What is Greatest Common Factor (GCF)The largest number, which is the factor of two or more number is called the Greatest Common Factor (GCF). It is the largest number (factor) that divide them resulting in a Natural number. Once all the factors of the number are found, there are few factors which are common in both. The largest number that is found in the common factors is called the greatest common factor. The GCF is also known as the Highest Common Factor (HCF)
In this problem, we have the numbers given with combination
A)
¹⁴C₃ = 364
Factors = 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
B) ⁷⁰C₄ = 916895
Factors = 1, 5, 7, 17, 23, 35, 67, 85, 115, 119, 161, 335, 391, 469, 595, 805, 1139, 1541, 1955, 2345, 2737, 5695, 7705, 7973, 10787, 13685, 26197, 39865, 53935, 130985, 183379, 916895
C) ²⁸C₂ = 378
Factors = 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The greatest common factors is 7
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The model shown was used to find the product of two fractions: A rectangle divided into nine columns of equal size and 4 rows of equal size. The length of a column is labeled as one ninth and the width of a row is labeled as one fourth. Two columns are fully shaded in grey. The cells in three full rows are covered with dots. Which equation does the model represent? (1 point) a the equation with the fractions two ninths times three fourths is equal to six thirty sixths b the equation with the fractions one ninth times one fourth is equal to two thirty sixths c the equation with the fractions two ninths times three fourths is equal to five thirty sixths d the equation with the fractions nine ninths times four fourths is equal to twenty nine thirty sixths
The equation that represents the array (rectangles and area) multiplication model that sows two grey shaded columns of length one ninth each and three rows with dots of width one fourth each is option a
a) The equation with fractions two ninths times three fourths is equal to six thirty sixths
[tex]\dfrac{2}{9} \times \dfrac{3}{4} = \dfrac{6}{36}[/tex]
What is an array (area) multiplication model?An array representation of a multiplication is a rectangular visual order of positioning of rows and columns that indicates the terms of a multiplication equation.
Please find attached the area model to multiply the fractions
The terms of the equation represented by the model are indicated by the two columns of length one ninth each shaded grey and the three rows of width one fourth each covered with dots, such that the equation can be presented as follows;
[tex]\left(\dfrac{1}{9} +\dfrac{1}{9}\right) \times \left(\dfrac{1}{4} +\dfrac{1}{4} + \dfrac{1}{4} \right) = \dfrac{2}{9} \times \dfrac{3}{4} =\dfrac{6}{36}[/tex]
The equation that the model represents is therefore;
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If 15% of a number equals 10, find 75% of that number.
Answer:
75% of the number is equal to 50
Step-by-step explanation:
To find 75% of a number, we can multiply the number by 0.75. To find the number, we can first use the equation 15% * x = 10 to find what 15% of the number is equal to. Then we can divide both sides of the equation by 0.15 to find the value of x.
Here's how we can solve this problem:
First, let's set up the equation that represents the problem: 15% * x = 10
Next, we can divide both sides of the equation by 0.15 to find the value of x:
(15% * x) / 0.15 = 10 / 0.15
This simplifies to:
x = 10 / 0.15
Finally, we can multiply x by 0.75 to find 75% of the number:
0.75 * x = 0.75 * (10 / 0.15)
This simplifies to:
0.75 * x = 50
Therefore, 75% of the number is equal to 50
Answer: 49.95
Step-by-step explanation:
15%/100%=0.15
The percent is the same as 0.15
0.15x=10
x= 66.6
0.75*66.6= 49.95
Henry walks to and from school each day. after 100 days of school, he has walked 125 miles. How many miles does Henry walk to and from school?
Answer:
1 1/4
Step-by-step explanation:
Divide 125 by 100, which gets you 1.25 (also known as 1 1/4)
Henry walked 1.25 miles each day to and from school.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that,
Henry walks to and from school each day.
Distance travelled by Henry in 100 days = 125 miles
In order to find the distance travelled by Henry in 1 day to and from school, divide the total distance by 100.
Distance travelled in 1 day = 125 / 100 = 1.25 miles
Hence the distance Henry walk to and from school is 1.25 miles.
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PLEASE help its easy I'm just dum!! Find the scale factor, for more info look at picture below.
The required scale factor is 2/3 for the given figures.
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.
As we know scale factor is the ratio of sides in the original image and the image after transformation.
The side length of CD = 15 units
The side length of GH = 10 units
The scale factor = length of GH / length of CD
The scale factor = 10/15
The scale factor = 2/3
Therefore, the required scale factor is 2/3 for the given figures.
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Nakeisha is saving up to buy a new jacket. She already has $70 and can save an additional $8 per week using money from her after school job. How much total money would Nakeisha have after 8 weeks of saving? Also, write an expression that represents the amount of money Nakeisha would have saved in w weeks.
The expression that represents the amount of money Nakeisha would have saved in w weeks will be 70 + 8w
The total money Nakeisha have after 8 weeks of saving is $134.
How to illustrate the expression?Given that Nakeisha is saving up to buy a new jacket, she already has $70 and can save an additional $8 per week using money from her after school job.
The expression that represents the amount of money Nakeisha would have saved in w weeks is:
= 70 + 8(w)
= 70 + 8w
The total money the she would Nakeisha have after 8 weeks of saving will be:
= 70 + 8w
= 70 + 8(8)
= 70 + 64
= 134
The amount saved is $134.
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A circular garden ha a radiu of 1. 5 feet Randy want to encloe it with edging the cot $0. 75 per foot, about how much will it cot
It will cost Randy about $7.07 to edge it.
What is the circumference of a circle?
The length of a circle's edge in straight lines is known as its circumference.
Why is 3.14 called pi?Because pi is the initial letter in the Greek word perimitros, which means "perimeter," it was given the name "pi" for the first time by [the Welsh mathematician] William Jones in 1706.
C = 2Πr
r = 1.5 feet
Π ≈ 3.14
C ≈ 2 × 1.5 × 3.14 feet
C ≈ 9.42 feet
9.42 × 0 .75 = 7.065
So it will cost randy about $7.07
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PLEASE HELP 10th grade Geometry
Andre ran a 100-meter race in 12 seconds. What was his average speed as he ran the race?.
Answer: 8.3 m / sec
Step-by-step explanation:
Take 100 divided by 12 = 8.3 meter per second
solve!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
42 minutes
Step-by-step explanation:
We can multiply 60 into 7/10 hours to convert 7/10 into hours, since 1 hour is 60 minutes.
= 60 (7/10)
= 420 / 10
= 42
Answer:
42 minutes
Step-by-step explanation:
you just have to remember to multiply and divide (its hard really hard to multiply like that and divide)
Please help me, this was on my sparx maths homework. It's due tomorrow.
The measure of the angle HBG found using the trigonometric ratio for cosines is about 27.266°
What are the trigonometric ratios?The trigonometric ratios is the set of relationships between the interior angles of a right triangle and the ratios of the lengths of two of the sides of the right triangle.
The measure of the size of the angle HBG, can be obtained from the specified lengths of the sides of the triangle ΔHBG and the trigonometric ratios as follows;
Length of BH = 27
Length of BG = 24
In the plane ABGH, the side BH is perpendicular to the side GH, therefore;
ΔHBG is a right triangle, where;
The hypotenuse side = BH
BG = The leg of the right triangle that is the adjacent side to the angle HBG.
The trigonometric ratios of the cosine of an angle is the ratio of the adjacent side to the angle to the hypotenuse of the right triangle.
[tex]cos(\theta) = \dfrac{Adjacent}{Hypotenuse}[/tex]
Therefore;
[tex]cos(\angle HBG) = \dfrac{24}{27}[/tex]
[tex]\angle HBG = arcos\left(\dfrac{24}{27}\right) \approx 27.266^{\circ}[/tex]
∠HBG ≈ 27.266°
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slove the system using substitution method
y=x+2
2x-3y=1
Answer:
Point slope
(-7, -5)
Equation form
x=-7, y=-5
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
(-7, -5)
Step-by-step explanation:
y = x + 2
2x - 3y = 1
2x - 3(x + 2) = 1
2x - 3x - 6 = 1
-x - 6 = 1
+6 +6
----------------
-x + 7
x = -7
y = x + 2
y = -7 + 2
y = -5
(-7, -5)
I hope this helps!
Find slope of (-3,4) and (-3,-8)
The required slope (m) is -12 when the points given are (-3, 4) and (-3, -8).
What is the slope?In mathematics, a line's slope, also known as its gradient, is a mathematical expression of the line's steep slopes and orientation.
A line's steeper can be identified by looking at its slope.
The slope was calculated mathematically as "rise over run" (change in y divided by change in x).
So, the slope formula is:
m = y2 - y1/x2 - x1
Now, substitute the values and calculate the slope as follows:
m = y2 - y1/x2 - x1
m = -8 -4/-3+3
m = -12/0
m = -12
Therefore, the required slope (m) is -12 when the points given are (-3, 4) and (-3, -8).
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In a café, drinks are priced according to what size they are.
The table shows the different sizes and costs.
Size of drink
Extra Small
Cost
£1.00
£1.50
£2.00
£2.50
£3.00
Small
Medium
Large
Extra Large
a) Gavin pays for one extra small and three large drinks.
Altogether, how much did they cost?
b) Lian pays for one small, one medium and one extra large drink.
She pays with a £10 note.
How much change should she get?
Answer:
for A. Gavin would pay 10. because 1.00 + 3.00 + 3.00 + 3.00 is 10.
and for B. 1.50 + 2.00 + 3.00 = 6.50. so lian would get 3.50 change back.
Annabelle records the length, in inches, of a colored pencil over time. Review the table showing her data. Time (Weeks) Length (Inches) 0 7.5 2 7.5 4 7 5 6 7 2 8 1 10 0.5 12 0.25 13 0.2 Which description best fits the regression model for the data?
Regression analysis using the logistic regression, regression model best fits the description of the data.
What is a regression model?When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method (also known as dependent and independent variables). Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables. As opposed to multivariate linear regression, which predicts numerous correlated dependent variables as opposed to a single scalar variable, this phrase is more specific.
When modeling relationships with linear predictor functions, the model's unknown parameters are inferred from the data.
The logistic regression method can be used in situations when the dependent variable is discrete. In other words, the likelihood of situations like pass/fail, true/false, 0/1, and so on that are mutually incompatible are calculated using this method. A sigmoid curve depicting the relationship between the independent variable and the target variable, which can only take on one of two values, and probability, which has a value between 0 and 1, are both present.
Regression analysis using the logistic regression regression model best fits the description of the data.
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What is the slope (rate of change) of the line?
a. -2
b. 0
c. 2
d. undefined
Answer:
a. -2
Step-by-step explanation:
pls help with Literal Equations
Solve for P
m=4/p-d
The value of p in the equation m = 4 / (p - d) on solving is p = (4 + md) / m.
What is equation?
An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
m = 4 / (p - d)
Multiply the denominator of the right side by the left term as shown below,
m (p - d) = 4
mp - md = 4
Add md to both sides,
mp - md + md = 4 + md
mp = 4 + md
p = (4 + md) / m
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Helpppppppppppppppppp
Answer:
In Jewish tradition, Abraham is called Avraham Avinu (אברהם אבינו), "our father Abraham," signifying that he is both the biological progenitor of the Jews and the father of Judaism, the first Jew.
Step-by-step explanation:
Which of the correlation values represent a perfect linear relationship between x and y?
a. 0.5
b. 1
c. 100
d. -1
e. 0
The correlation values that represent the perfect linear relationship between x and y are = b) 1 and d) -1
Now first we need to understand what is meant by correlation,
The mutual relation or degree to which two or more quantities are mutually linear or related to each other, hence their degree or relation of correlation is qualified by correlation coefficient.
According to the question we need to find the correlation value that represents a perfect linear relationship between x and y
Since we know according to the definition of correlation, the perfect linear relationship between x and y could be represented if their magnitude is 1.
Both positive and negative values of magnitude 1 (i.e 1 and -1) are defined as the linear relationship between x and y.
Therefore, The correlation values that represent the perfect linear relationship between x and y are both 1 and -1
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What is the measure if Angle JKL?
The measure of the angle JKL as per the attached diagram is equal to 97 degrees.
As per in the question,
Diagram is attached.
Angle JKL is linear pair angle with given angle of measure 83 degrees.
Sum of the pair of linear pair is always equal to 180 degrees.
Let 'x' be the measure of angle JKL, we get,
83° + m ∠JKL = 180°
Subtract 83° from both the side of the equation we get,
⇒ 83° - 83° + m ∠JKL = 180° - 83°
⇒ m ∠JKL = 97°
Therefore, the measure of the angle JKL as per the attached diagram is equal to 97 degrees.
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Write the equation of the line in fully
simplified slope-intercept form.
Answer:
y = 2/3x - 6
Step-by-step explanation:
Knowledge Needed
Slope-Intercept form: y = mx + b
Leave y and x as variables as it is easier for graphing.
m is the slope, or how much the y-value changes every timer the x-value increases by 1.
b is the y-intercept, or the x-value of the line when it has a x-value of 0 (when it hits the y-axis.)
Question
Using this information, lets first find the slope.
To find the slope, we can use the slope formula. Use any two sets of points to plug into the formula.
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
I'll use the points:
(3, -4)
and
(6, -2)
Because they are marked.
Plug in your two y-values into the numerator and two x-values into the denominator.
[tex]\frac{-2 - - 4}{6 - 3}[/tex]
2/3
So, we have 2/3 as a slope. We can start writing the equation in slope-intercept form.
y = 2/3x + b
To solve for b, we can either examine the graph or solve it algebraically. However, if the graph is more complex we can't just look at it.
What is the x-value of the line when it touches the y-axis, or the bold vertical line?
-6
We know the y-intercept is -6.
y = 2/3x - 6
Select the correct answer. A number is selected at random from the set {2, 4, 6, 8, 10}. Which event, by definition, covers the entire sample space of this experiment? A. The number is greater than 2. B. The number is not divisible by 5. C. The number is even and less than 12. D. The number is neither prime nor composite. E. The square root of the number is less than 3.
The event the number is even and less than 12 covers the entire sample space of this experiment.
What is sample space?
In probability theory, the set of all feasible outcomes or outcomes of an experiment or random trial is referred to as the sample space. The sample points, or potential ordered outcomes, are listed as elements in the set used to represent the sample space.
Given:
A number is selected at random from the set {2, 4, 6, 8, 10}.
Let's examine each instance:
A. There are more than two.
When we get number 2, this does not apply to the situation. 2 is equal to 2 and not greater, therefore.
B. The number is not divisible by 5, whereas 10 and 5 are. As a result, the sample space is not completely covered.
C. It's an even number or less than 12.
Let's note that every number from "2, 4, 6, 8, 10" is less than 12, indicating that the event's even portion has no bearing. This encompasses the whole sample area.
D. Neither the number is prime nor is it a composite.
There cannot be a number that is neither prime nor composite because they are mutually exclusive terms in mathematics. No number of the set is covered by this event.
E. The number's square root is less than 3.
This excludes the number 10, whose square root is approximately 3,16, which is greater than 3.
Hence, the event the number is even and less than 12 covers the entire sample space of this experiment.
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Unit #4 - Lesson # 8 Exit Ticket: The seventh-grade class had 74 students in it last year. This
increase in the number of seventh grade students from last year to this year? Show all calculations.
year, the seventh-grade class has 86 students in it. To the nearest tenth, what was the percent
Unit #4
on til
Answer:
Answer:
Hope it helps!
Step-by-step explanation:
Last year there were 74 students in the seventh grade class. This year there are 86 students in the seventh grade class.
Increase = 86 - 74 = 12
Percent Increase = (12/74) x 100 = 16.2%
Select all of the following statements that are true four years from now, in the year 2024.
Select : 2
Submit Answer
The Thrift segment will demand 7,745 thousand units
The Core segment will demand 9,779 thousand units
The Nano segment will demand 5,406 thousand units
The Elite segment will demand 5,874 thousand units
The following statements that are true four years from now, in the year 2024 are the Thrift segment will demand 7,745 thousand units and the Core segment will demand 9,779 thousand units.
Define demand.Demand in economics refers to a consumer's readiness to pay a particular price for goods and services as well as their desire to buy them. Demand for a good or service typically declines when its price goes up. Demand describes the consumer's desire and willingness to purchase a good or service at a specific time or over an extended period of time. Additionally, consumers must be able to afford the items they want or need based on their budgeted disposable income. Demand therefore has an impact on market expansion and economic growth.
Given
The following statements that are true four years from now, in the year 2024 are:
The Thrift segment will demand 7,745 thousand units.
The Core segment will demand 9,779 thousand units.
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you exercised 24 hours each month for a year. how many hours did you exercise by the end of the year? you may be able to do the math mentally thanks t
A total of 288 hours of exercise did by the end of the year.
What is distributive property?
Distributive Property is defined as the "distribute" of anything to divide it up or to give someone a piece of it.
Exercise in one month = 24 hours
Total exercise in a year = 24*12 = 288 hours
Hence, a total of 288 hours of exercise did by the end of the year.
To learn more about the distributive property
https://brainly.com/question/2807928
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