The correct answer for the distance between two points is 3.5 units.
To find the distance between two points on a coordinate plane, we can use the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
The two points given are (-3,0) and (0.5,0). Plugging these values into the formula, we get:
distance = sqrt((0.5 - (-3))^2 + (0 - 0)^2)
Simplifying the expression inside the square root:
distance = sqrt(3.5^2)
distance = sqrt(12.25)
distance = 3.5
Therefore, the distance between the two points is 3.5 units.
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The equation f(x) = (x - 1)²2 - 2 is being
moved 3 units to the right and 3 units up, write
the new equation
The new equation after moving 3 units to the right and 3 units up is
[tex]f(x) = (x - 4)^{2} 2 + 1.[/tex]
How to move the equation rights and up?We need to change the equation to move the function [tex]f(x) = (x - 1)^{2} 2 - 2[/tex] three units to the right and three units up:
To shift the function three units to the right, replace x with (x - 3), which adjusts the graph three units to the right. [tex]f(x) = ((x - 3) - 1)^{2} 2 - 2[/tex], which simplifies to [tex]f(x) = (x - 4)^{2} 2- 2.[/tex]
To move the function three units up, multiply the equation by three.[tex]f(x) = (x - 4)^{2} 2 + 1[/tex] is the final equation.
The new equation is now [tex]f(x) = (x - 4)^{2} 2 + 1.[/tex]
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If the quadratic formula is used to solve 2 -3 -1 = 0, what are the solutions?x2x
PLEASE HELP
If the quadratic formula is used to solve 2x² - 3x - 1 = 0, the solutions include the following: C. [tex]x = [\frac{3\; + \;\sqrt{17}}{4}, \frac{3\; - \;\sqrt{17}}{4}][/tex]
What is a quadratic equation?In Mathematics and Geometry, a quadratic equation can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.
In Mathematics, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Mathematically, the quadratic formula is represented by this mathematical equation:
x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}
For the given quadratic equation 2x² - 3x - 1 = 0, we have:
[tex]x = \frac{-(-3)\; \pm \;\sqrt{(-3)^2 - 4(2)(-1)}}{2(2)}\\\\x = \frac{3\; \pm \;\sqrt{9 +8}}{4}\\\\x = \frac{3\; \pm \;\sqrt{17}}{4}[/tex]
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Complete Question:
If the quadratic formula is used to solve 2x² - 3x - 1 = 0, what are the solutions?
pls answer
worth 34 points!!
Answer:
Where is the question?...
Identify all of the Independent Events
You randomly select and eat three chocolates out of the box
Drawing a marble out of a bag, replace it and draw another
Dominic picks an ice cream cone out of the freezer to eat, then Arianna picks one
Rolling a dice, then picking a block from a pile
Rolling a dice twice
Randomly picking a sock from a laundry basket to wear, then randomly picking a second one
Out of these events, the independent events are drawing a marble out of a bag, replacing it and drawing another and rolling a dice twice. So the correct option is 2 and 5.
Events that are independent are those in which the outcome of first event has no effect on the outcome of a second event. The independent event in each of the situations according to this definition are:
Drawing a marble out of a bag, replacing it, and drawing anotherRolling a dice twiceThe outcome of the first event in either of these situations have no effect on the outcomes of the second event.
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Find the value of x for the following
The side has a length of 15 units.
Let us denote the length of the missing side by x. According to the Pythagorean theorem, the sum of the squares of the lengths of the two legs of a right triangle is equal to the square of the length of the hypotenuse. In mathematical terms, this can be written as:
side² + side² = hypotenuse²
Substituting the given values, we get:
x² + 8² = 17²
Simplifying this equation, we get:
x² + 64 = 289
Subtracting 64 from both sides, we get:
x² = 225
Taking the square root of both sides, we get:
x = 15
Therefore, the missing side has a length of 15 units.
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123) If one gallon of paint covers 250 square feet, how many gallons of paint will be needed to cover the shed, NOT including the roof? If a gallon of paint costs $25, how much will it cost to paint the walls of the shed? 12 ft 12 ft 18 ft -18 ft
The amount of money that it will cost to paint the whole shed excluding the roof would be = $122.5
How to calculate the cost of the paint for the shed?To calculate the cost of the shed, we will first determine the area of the shed that needs to be painted which excludes the roof.
The area of the shed = area of 2 square + area of rectangular floor+ area of 4 trapezium(for the pentagon shaped sides)
Area of 2 square =2( L×w) = 2(12×12) = 2×144 = 288ft²
Area of rectangular floor = l×w = 18×12 = 216ft²
Area of trapezium = 1/2(a+b)h ×4
= 1/2(22+18) × 9×4
= 20×9×4 = 720ft²
The area of the shed = 288+216+720 = 1,224ft²
But 1 gallon = 250ft²
X gallon = 1,224 ft²
X gallons = 1,224×1/250
= 4.9 gallons
But 1 gallon = $25
4.9 gallons = X
make X the subject of formula;
X = 4.9×25 = $122.5
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circumference of OC 7.5 m F G 76° C APARUMORISCHER
Answer: 570OC^2mFG
Step-by-step explanation: I did this in school! Trust Me! You can report if wrong!
Devaughn is 11 years younger than Sydney. The sum of their ages is 73. What is Sydneys age?
Let's use S to represent Sydney's age. According to the problem, Devaughn is 11 years younger than Sydney, so his age can be represented as S - 11. We also know that the sum of their ages is 73, so we can write an equation:
S + (S - 11) = 73
Simplifying this equation, we get:
2S - 11 = 73
Adding 11 to both sides, we get:
2S = 84
Dividing both sides by 2, we get:
S = 42
Therefore, Sydney is 42 years old.
Solve for x: (3x + 12)(x + 4) = (4x^2 + 8x + 18x^2)(2x).
The solutions for the equation (3x + 12)(x + 4) = (4x² + 8x + 18x²)/2 are given by, x = -3/2, 4.
Given that the equation is,
(3x + 12)(x + 4) = (4x² + 8x + 18x²)/2
we have to find the solution that is the value(s) of the x for which this relation is true.
Solving the the equation we get,
3x*x + 12x + 3x*4 + 12*4 = (22x² + 8x)/2
3x² + 12x + 12x + 48 = 2 (11x² + 4x)/2
3x² + 24x + 48 = 11x² + 4x
11x² - 3x² + 4x - 24x - 48 = 0
8x² - 20x - 48 = 0
4(2x² - 5x - 12) = 0
2x² - 5x - 12 = 0
2x² - 8x + 3x - 12 = 0
2x(x - 4) + 3(x - 4) = 0
(2x + 3)(x - 4) = 0
Either 2x + 3 =0
x = -3/2
Or, x - 4 = 0
x = 4
Hence the solutions are, x = -3/2, 4.
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In rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB=4 and BC=12, what is the area of the shaded region? Write your answer as a decimal, if necessary. Do not include units in your answer.
The area of the shaded region will be 24 square units.
Given that:
AB = 4
BC = 12
Point E is located halfway between sides AB and CD of the rectangle ABCD and halfway between sides AD and BC.
The area of the shaded region will be given as,
A = 2 x (1/2 x 12 x 2
A = 2 x 6 x 2
A = 24 square units
The area of the shaded region will be 24 square units.
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The missing image is given below.
Standard automobile license plates in a country display 2 digits, followed by 2 letters, followed by 3 digits. How many different standard plates are possible in this system? (Assume repetition of letters and digits is allowed.)
Your answer is :
There are 67,600,000 possible standard license plates in this system.
Multiplication principle of counting:
The concept used to solve this problem is the multiplication principle of counting, which states that the total number of outcomes for a sequence of independent events is equal to the product of the number of outcomes for each individual event.
Here we have
Standard automobile license plates in a country display 2 digits, followed by 2 letters, followed by 3 digits.
For the first two digits,
As we know the number of digits = 10 [ from 0 to 9 ]
Hence, there are 10 possibilities for each digit (0-9),
The number of possibilities for 2 digits = 10×10 = 100 possibilities.
For the next two letters,
There are 26 possibilities for each letter (A-Z) as there are 26 letters
The number of possibilities for 2 letters = 26×26 = 676 possibilities.
For the last three digits,
There are 10 possibilities for each digit (0-9),
The number of possibilities for 3 letters = 10×10×10 = 1000 possibilities.
To get the total number of possible license plates,
Multiply the number of possibilities
= 100 × 676 × 1000 = 67,600,000
Therefore,
There are 67,600,000 possible standard license plates in this system.
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A snack mix recipe calls for 10 cups of cereal and 4 cups of pretzel sticks. What is the constant of proportionality that relates the number of cups of cereal, y, to the number of cups of pretzel sticks, x? A 0.4 14 2.5 O 6
As a result, the proportionality constant in the supplied recipe that connects the number of cups of cereal to the number of cups of pretzel sticks is 2.5.
find the constant of proportionality?In a proportional connection, the constant of proportionality is the value by which one variable is multiplied to get the other variable. For example, if we have two proportional variables, x and y, we may write the connection as y=kx, where k is the proportionality constant.
k = y/x
where k is the proportionality constant.
Because the recipe calls for 10 cups of cereal and 4 cups of pretzel sticks in this example, we may enter these numbers into the formula:
k = 10/4
When we simplify, we get:
k = 2.5
As a result, the proportionality constant in the supplied recipe that connects the number of cups of cereal to the number of cups of pretzel sticks is 2.5.
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A rectangular room is 28 feet by 32 feet.
A scale drawing of the room has a perimeter is 12 inches.
What is the length of the shorter side of the room on the scale drawing?
The length of shorter side is 2.8 inch.
We have,
A rectangular room is 28 feet by 32 feet.
The Perimeter of scale drawing of room is 12 inches.
So, the perimeter of room
= 2(l +w)
= 2(28+ 32)
= 2(60)
= 120 feet
So, the scale factor is
= 120 / 12
= 10 inches
Thus, the length of shorter side is
= 28/10
= 2.8 inch
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First, she would like you to edit the worksheets Dealer
Satisfaction and End-User Satisfaction to display the
total number of responses to each level of the survey
scale across all regions for each year.
2. Second, she wants a count of the number of failures in
the worksheet Mower Test.
3. Next, Elizabeth has provided you with prices for PLE
products for the past five years:
Year Mower Price Tractor Price
2014 $150 $3,250
2015 $175 $3,400
2016 $180 $3,600
2017 $185 $3,700
2018 $190 $3,800
Create a new worksheet to compute gross revenues
by month and region, as well as worldwide totals, for
each product using the data in Mower Unit Sales and
Tractor Unit Sales.
4. Finally, she wants to know the market share for each
product and region by month based on the PLE and
industry sales data, and the average market share by
region over the five years.
The avg response time to customer service calls was between 2.50 and 4.50
What is a Market Share?The captured percentage of the total sales or revenue within any specific market that a corporation or brand earns is called market share.
This measure showcases a company's competitive position in the marketplace and portrays its performance relative to its business rivals. Market share can be determined in multiple ways, namely by volume or value, and can range from being worldwide, nationwide or regional.
Given that it imparts insights into current market trends, tracking this statistic becomes particularly imperative for businesses looking to fashion sound marketing strategies. Without a doubt, market share acts as an indispensable metric for companies seeking to secure a spot in today's world of interminable industrial competition.
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Complete the square for the expression x² + 8x.
That is, find real numbers A and B such that x² + 8x + A = (x + B)².
Answer exactly. A = B=
The values of A and B are,
⇒ A = 16
⇒ B = 4
We have to given that;
The expression is,
⇒ x² + 8x
Now, Complete the square of the expression as;
⇒ x² + 8x + 16
⇒ (x + 4)²
Hence, By comparing we get;
The values of A and B are,
⇒ A = 16
⇒ B = 4
Thus, The values of A and B are,
⇒ A = 16
⇒ B = 4
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Factor the quadratic expression completely.
-3x^2+17x-20=
Answer:
To factor -3x^2 + 17x - 20 completely, we need to find two binomials that when multiplied together give us the original quadratic expression.
First, we can multiply the leading coefficient (-3) by the constant term (-20) to get -60. Then, we need to find two numbers that multiply to -60 and add up to the coefficient of the x-term (17). After some trial and error, we find that the two numbers are 12 and -5.
Now, we can rewrite the quadratic expression as:
-3x^2 + 17x - 20 = -3x^2 + 12x - 5x - 20
Next, we group the first two terms and the last two terms:
(-3x^2 + 12x) + (-5x - 20)
We can factor out 3x from the first group and -5 from the second group:
3x(x - 4) - 5(x + 4)
Now we can factor out a negative one from the second grouping:
3x(x - 4) - 5( -1)(x + 4)
And simplify:
3x(x - 4) + 5(x + 4)
Therefore, the quadratic expression -3x^2 + 17x - 20 can be factored completely as (3x - 5)(x - 4).
*This question is very hard and confusing and need to be really smart to get answer*
Will provide a Brainless
Suppose you have a bag containing 10 red balls, 8 blue balls, and 6 yellow balls. What is the probability of selecting 2 red balls, 3 blue balls, and 1 yellow ball in that order without replacement?
To solve this problem, we need to use the concept of permutations: the number of ways to arrange a set of objects in a certain order. We can calculate the total number of permutations by multiplying the number of ways to choose the first ball by the number of ways to choose the second ball, and so on until we have chosen all 6 balls.
There are 10 ways to choose the first red ball out of the 24 balls in the bag, and 9 ways to choose the second red ball (since we can't choose the same ball twice). There are 8 ways to choose the first blue ball, 7 ways to choose the second blue ball, and 6 ways to choose the third blue ball. Finally, there are 6 ways to choose the yellow ball.
Therefore, the total number of permutations is:
The probability of selecting 2 red balls, 3 blue balls, and 1 yellow ball in that order without replacement is 0.000303.
What is the probability?The probability of selecting 2 red balls, 3 blue balls, and 1 yellow ball in that order is determined as follows:
Probability of selecting the first red ball = 10/24
Probability of selecting the second red ball = 9/23.
Probability of selecting the first blue ball = 8/22.
Probability of selecting the second blue ball = 7/21.
Probability of selecting the third blue ball = 6/20.
Probability of selecting the yellow ball = 6/19.
Hence;
The probability of selecting 2 red balls, 3 blue balls, and 1 yellow ball in that order will be:
Probability = (10/24) * (9/23) * (8/22) * (7/21) * (6/20) * (6/19)
Probability = 0.000303
Therefore, the probability of selecting 2 red balls, 3 blue balls, and 1 yellow ball in that order without replacement is 0.000303.
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Carved into the desert are a number of drawings that can only be seen from a helicopter, See if you can see my dilation inspired drawings of the drawings! Fill in the missing four pieces (either the scale factor, (AB) or (A'B')) with correct values from the "Number Bank".
For the humming bird X = 130m
For the monkey r= 2
For the trapezoid X = 110m
For the whale r = 7/2
How to calculate the scale factor of a given model?To calculate the scale factor of a given shape or model, the formula that should be used would be;
Scale factor = dimensions of bigger model/smaller model
For hummingbird:
X = 585/4.5
= 130m
For monkey ;
r= 440/220
= 2
For the trapezoid;
X= 165×2/3
= 330/3
= 110m
For the whale;
r= 420/120
= 7/2
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URGENT!!!
Find the value of n in the picture above. Leave your answer in simplest radical form.
The value of n in the given triangle is given as follows:
[tex]n = 4\sqrt{5}[/tex]
What is the geometric mean theorem?The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
The bases of the triangle are given as follows:
8 and 10.
Hence the altitude n is given as follows:
n² = 8 x 10
n² = 80
[tex]n = \sqrt{80}[/tex]
[tex]n = \sqrt{16 \times 5}[/tex]
[tex]n = 4\sqrt{5}[/tex]
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On June 10, 2011 CNN money reported that the Internet music site Pandora is adding new users at the rate of one per second between February and April the number of users grew from 80,000,000 to 90,000,000 is the slope of one user per second correct based on February and April numbers of users?
The slope of one user per second is not correct based on the February and April numbers of users.
What is the slope?The slope refers to the unit rate or the constant of proportionality.
The slope also refers to the gradient.
The slope is determined as the quotient between the Rise and the Run.
The number of days between February 1 and April 30 = 88 days
The number of seconds between February 1 and April 30 (the Run) = 7,603,200 seconds (88 x 24 x 60 x 60)
The difference between 90,000,000 and 80,000,000 users (the Rise) = 10,000,000 users (90,000,000 - 80,000,000)
The slope = 1.315 (10,000,000 ÷ 7,603,200)
Thus, we can conclude that the slope of one user per second is not correct but 1.315 users per second.
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Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,366 was collected on the sale of 1,098 tickets. How many of each type of ticket were sold?
Answer:
Step-by-step explanation:
Using algebra to solve this problem
Let x be the number of adult tickets sold and y be the number of student tickets sold. We can set up a system of two equations to represent the information given in the problem:
x + y = 1098 (equation 1) (the total number of tickets sold is 1,098)
5x + 1y = 2366 (equation 2) (the total amount collected is $2,366)
To solve for x and y, we can use substitution or elimination method. Let's use the substitution method.
From equation 1, we can solve for y as follows:
y = 1098 - x
Substituting this expression for y into equation 2, we get:
5x + 1(1098 - x) = 2366
Simplifying and solving for x, we get:
5x + 1098 - x = 2366
4x = 1268
x = 317
So, 317 adult tickets were sold. To find the number of student tickets sold, we can substitute this value for x into equation 1 and solve for y:
317 + y = 1098
y = 1098 - 317
y = 781
Therefore, 781 student tickets were sold.
Answer:
x+y= 1098
5x+1y= 2366
y= 1098 - x
5x+ 1(1098-x) = 2366
5x + 1098 - x = 2366
4x= 1268
x= 317
x+y= 1098
317 + y= 1098
y= 781
So the answer is: 317 adult tickets and 781 student tickets were sold.
Your class is collecting bottled water for a service project. The goal is to collect 300
bottles of water. On the first day, Max brings in 3 packs of water with 6 bottles in each
pack. Sarah brings 6 packs with 6 bottles in each pack. How many bottles of water do
they still need to be brought?
Step-by-step explanation:
Goal: 300
Max brought: 3 × 6 = 18 bottles in total.Sarah brought: 6 × 6 = 3636 + 18 = 54300 - 54 = 246They still need 246 bottles.
The Venn diagram below shows the number of items in sets A and B.
An item is chosen at random.
a) Explain how we can tell from the Venn diagram that P(A) ≤ P(B) without doing any calculations.
b) Calculate P(A) and P(B) as fractions in their simplest forms.
B4
A1
9
A is inside B and 9 is outside the venn diagram
The probability of A would be lesser than or equal to that of B because A is a subset of B
Explaining P(A) ≤ P(B) from the Venn diagramFrom the question, we have the following parameters that can be used in our computation:
The Venn diagram
On the Venn diagram, we have
A is inside B
This means that A is a subset of B
And as such the probability of A would be lesser than or equal to that of B
Calculating P(A) and P(B)Here, we have
A = 1
B = 4
Outside = 9
So, we have
P(A) = 1/(1 + 4 + 9) = 1/14
P(B) = (1 + 4)/(1 + 4 + 9) = 5/14
Hence, the values of P(A) and P(B) are 1/4 and 5/14
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DO THE MATH: Dade buys a new patio bench in Wooster, Ohio for the price of
$266.20 which includes a sales tax of 6.5%. What is the price of the patio bench
without sales tax? Round your answer to the nearest penny.
$265.27
$248.90
$249.99
$249.95
Price without tax is $249.95.
What is patio bench ?A patio bench is a common piece of outdoor furniture for a patio or deck. To fit varied outdoor locations and seating requirements, it can be produced in a number of forms and sizes and is often made of wood, metal.
We can multiply the total cost by (1 + tax rate) to get the cost of the patio bench sans sales tax.
(1 + 0.065) = 1.065
Price without tax = $266.20 / 1.065 = $249.9
Therefore, the correct answer is D) $249.95.
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Given: Circle k(O) with OT ⊥ XY, OU ⊥ WZ, and ∠XOY ≅ ∠ZOW Prove: OT ≅ OU
50 points
Kyle plans to estimate the area of the figure below by identifying the full and partial squares that make up the figure.
On a coordinate plane, a figure contains 40 full squares and 8 partial squares.
If Kyle uses the strategy, which statement best describes the figure?
The figure that Kyle plans to estimate the area of is likely a series of squares, either full or partially shaded, that do not form a perfect square or rectangle.
The figure that Kyle plans to estimate the area of contains 40 full squares and 8 partial squares. Based on this information, we can assume that the figure is composed of a grid or a series of squares that are either full or partially shaded. Kyle plans to use the strategy of identifying the full and partial squares that make up the figure to estimate its area.
If the figure is a perfect square or rectangle, Kyle can use the formula A = l x w to find its exact area. However, since the figure is not described as a specific shape, Kyle will need to use estimation to find its area. By identifying the full and partial squares, he can estimate the total number of square units that the figure covers. Kyle can then multiply this estimate by the size of each square unit to find an approximate area.
In conclusion, Using his strategy, Kyle can estimate the total area of the figure by identifying the full and partial squares and multiplying his estimate by the size of each square unit.
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I’m stuck on these questions help
The coordinates of the point halfway between the origin and point B is [0, 5].
The coordinates of the midpoint of point A and point B is [5, 4].
The coordinates of the midpoint of point P and point Q is [7, 8].
How to determine the midpoint of a line segment?In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and then divide by two (2):
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
For line segment BO, we have:
Midpoint of BO = [(0 + 0)/2, (10 + 0)/2]
Midpoint of BO = [0, 10/2]
Midpoint of BO = [0, 5].
For line segment AB, we have:
Midpoint of AB = [(2 + 8)/2, (4 + 4)/2]
Midpoint of AB = [10/2, 8/2]
Midpoint of AB = [5, 4].
For line segment QP, we have:
Midpoint of QP = [(7 + 7)/2, (10 + 6)/2]
Midpoint of QP = [14/2, 16/2]
Midpoint of QP = [7, 8].
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HELP ASAP WILL GIVE TRUE 100 POINTS AND BRAINLIEST
The y-intercept represents the base price of $____for airfare from NYC.
Answer: THE ANSWER IS Blank 1: 200, Black 2: 1000, Blank 3: 800, Blank 4: 30+0.50x, Blank 5: y=50=0.30x.
Step-by-step explanation: Please give Brainliest.
Hope this helps!!!!
I can answer more questions for Brainlist.
HELP WILL GIVE 50 POINTS!!!!!
Answer:
A) 208 = (10 + x)( 13 + x)
Step-by-step explanation:
Is the answer 1479.20? Pic below
The expected profit for selling action movies is given as follows:
$15,583.20.
How to obtain the expected profit?The expected profit for selling action movies is obtained applying the proportions in the context of the problem.
The proportion of action movies on the last month is given as follows:
2150/(2150 + 1721 + 829 + 300) = 0.43.
Hence, out of 8000 movies, the expected number of action movies is given as follows:
0.43 x 8000 = 3440.
The expected profit for each movie is of $4.53, hence the expected profit for action movies is given as follows:
4.53 x 3440 = $15,583.20.
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