The value of the expression, which serves as the basis for the response, is 265 for the provided question. answer is option (c).
What is Expression?An expression is a group of numbers, variables, and mathematical operations used to represent a quantity or value in mathematics. Expressions can be straightforward or intricate, and they can contain exponents, coefficients, variables, and constants. Several methods, including factoring, the order of operations, and algebraic manipulation, can be used to evaluate or simplify expressions. The values of an expression's variables and constants determine its value.
The expression −204 − 64 − (−3) can be streamlined by applying the following arithmetic rules:
−204 − 64 − (−3) = −204 − 64 + 3
[the double negative turns positive because]
= −265
Consequently, the expression's value is -265. The correct answer is option (c).
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Which of the following is the fourth vertex needed to create a rectangle with vertices located at (−15, 3), (−15, −6), and (25, −6)?
(−6, 25)
(−25, −3)
(6, −25)
(25, 3)
The missing fourth vertex needed to create a rectangle is (25, 3) option D.
Define the term vertices?Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.
Here, the width of one side of the rectangle;
⇒ +3 - (-6) = 9 unit (left side y-coordinates)
Similarly the length of the rectangle;
⇒ 25 - (-15) = 40 unit (up-side x-coordinates)
Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)
So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:
⇒ (25, -6+9) = (25, 3)
⇒ (-15+40, 3) = (25, 3)
Therefore, the missing fourth vertex is (25, 3)
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Here are the cost of tickets at a cinema venue
Answer:
A=40.8 B=8
Step-by-step explanation:
A Explanation
£7.20*3=£21.6
£9.60*2=£19.2
19.2+21.6=40.8
B Explanation
£9.60*3=£28.8
86.40-28.8=57.6
57.6/7.20=8
The management of Ballard MicroBrew is considering the purchase of an automated bottling machine for $74,000. The machine would replace an old piece of equipment that costs $19,000 per year to operate. The new machine would cost $9,000 per year to operate. The old machine currently in use is fully depreciated and could be sold now for a salvage value of $31,000. The new machine would have a useful life of 10 years with no salvage value.
Required:
1. What is the annual depreciation expense associated with the new bottling machine?
2. What is the annual incremental net operating income provided by the new bottling machine?
3. What is the amount of the initial investment associated with this project that should be used for calculating the simple rate of return?
4. What is the simple rate of return on the new bottling machine? (Round your answer to 1 decimal place i.e. 0.123 should be considered as 12.3%.)
1. Depreciation expense = $7,400 per year
2. Incremental net operating income = $10,000 per year
3. The initial investment associated with this project is the cost of the new bottling machine, which is $74,000.
4. The simple rate of return on the new bottling machine is 13.5%.
What is investment?Investment refers to the act of allocating money or resources to acquire an asset or property, with the expectation of generating income, profit, or appreciation in value over time. It involves forgoing the use of funds in the present, in order to potentially receive a greater benefit in the future.
Annual Depreciation Expense:
The new bottling machine would have a useful life of 10 years, and no salvage value. Therefore, the annual depreciation expense associated with the new bottling machine is:
Depreciation expense = (Cost of the machine - Salvage value) / Useful life
Depreciation expense = ($74,000 - $0) / 10 = $7,400 per year
Annual Incremental Net Operating Income:
To calculate the annual incremental net operating income provided by the new bottling machine, we need to compare the annual operating costs of the old machine and the new machine.
Annual operating cost of the old machine = $19,000
Annual operating cost of the new machine = $9,000
Incremental net operating income = Annual operating cost of the old machine - Annual operating cost of the new machine
Incremental net operating income = $19,000 - $9,000 = $10,000 per year
Initial Investment:
The initial investment associated with this project is the cost of the new bottling machine, which is $74,000.
Simple Rate of Return:
The simple rate of return is the ratio of the annual incremental net operating income to the initial investment. We have already calculated the annual incremental net operating income in step 2, and the initial investment in step 3.
Simple rate of return = Annual incremental net operating income / Initial investment
Simple rate of return = $10,000 / $74,000 = 0.1351 or 13.5% (rounded to one decimal place)
Therefore, the simple rate of return on the new bottling machine is 13.5%.
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1. Depreciation expense = $7,400 per year
2. Incremental net operating income = $10,000 per year
3. The initial investment associated with this project is the cost of the new bottling machine, which is $74,000.
4. The simple rate of return on the new bottling machine is 13.5%.
What is investment?
Investment refers to the act of allocating money or resources to acquire an asset or property, with the expectation of generating income, profit, or appreciation in value over time. It involves forgoing the use of funds in the present, in order to potentially receive a greater benefit in the future.
Annual Depreciation Expense:
The new bottling machine would have a useful life of 10 years, and no salvage value. Therefore, the annual depreciation expense associated with the new bottling machine is:
Depreciation expense = (Cost of the machine - Salvage value) / Useful life
Depreciation expense = ($74,000 - $0) / 10 = $7,400 per year
Annual Incremental Net Operating Income:
To calculate the annual incremental net operating income provided by the new bottling machine, we need to compare the annual operating costs of the old machine and the new machine.
Annual operating cost of the old machine = $19,000
Annual operating cost of the new machine = $9,000
Incremental net operating income = Annual operating cost of the old machine - Annual operating cost of the new machine
Incremental net operating income = $19,000 - $9,000 = $10,000 per year
Initial Investment:
The initial investment associated with this project is the cost of the new bottling machine, which is $74,000.
Simple Rate of Return:
The simple rate of return is the ratio of the annual incremental net operating income to the initial investment. We have already calculated the annual incremental net operating income in step 2, and the initial investment in step 3.
Simple rate of return = Annual incremental net operating income / Initial investment
Simple rate of return = $10,000 / $74,000 = 0.1351 or 13.5% (rounded to one decimal place)
Therefore, the simple rate of return on the new bottling machine is 13.5%.
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ATU COVID-19 team of Marshalls has 13 lecturers, 15 students, 10 administrative staff and 12 modicul personnel. An executive committee of 16 is to be formed to strategize for their mode of operations to help contain the vinus on campus. What is the probability of foming this committee, if there should be equal representation on it?
The probability of forming this committee with equal representation is approximately 0.570 or 57.0%.
The total number of individuals in the ATU COVID-19 team of Marshalls is 50 (13+15+10+12). To form an executive committee of 16 with equal representation, we need to choose 4 individuals from each group (4 lecturers, 4 students, 4 administrative staff, and 4 medical personnel).
Using the combination formula, we can calculate the number of ways to choose 4 individuals from each group:
C(13,4) × C(15,4) × C(10,4) × C(12,4) = 715 × 1,455 × 2,385 × 4,095 = 7,976,476,875
Therefore, there are 7,976,476,875 possible ways to form the executive committee with equal representation.
To calculate the probability of forming this committee, we need to divide the number of possible ways by the total number of ways to choose any 16 individuals from the ATU COVID-19 team of Marshalls:
C(50,16) = 13,983,816
The probability of forming the executive committee with equal representation is:
7,976,476,875 / 13,983,816 = 0.570
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CAN SOMEONE PLEASEEE HELPP MEEE
Price of Airfare
900
800
700
600
500
400
300
200
100
0
0
Distance Traveled vs. Price of Airfare
from NYC
500
1000
Blank 1:
Blank 2:
Blank 3:
Blank 4:
Blank 5:
y = 200+ 0.30x
1500
Distance
Traveled
Word Bank:
200 800 1000 30 y=50+0.30x y=30+0.50x
2000
Consider the data shown on the graph:
The y-intercept represents the base price of $
The slope represents a cost of
cents per mile traveled.
According to the equation given, someone who traveled 2000 miles from NYC
would pay $
for their airfare
2500
According to the equation given, someone who paid $500 for airfaire from NYC
would have traveled
miles.
for airfare from NYC..
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the
new equation would be
Answer:
The completed statements are:
The y-intercept represents the base price of $200.
The slope represents a cost of 30 cents per mile traveled.
According to the equation given, someone who traveled 2000 miles from NYC would pay $800 for their airfare. (y = 200 + 0.30x, where x is the distance traveled in miles)
According to the equation given, someone who paid $500 for airfare from NYC would have traveled 1,000 miles. (500 = 200 + 0.30x, solving for x gives x = 1,000)
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y = 50 + 0.30x. (The slope remains the same, while the y-intercept changes to 50.)
Note that the statement "According to the equation given, someone who traveled 2000 miles from NYC would pay $2500 for their airfare" is incorrect. The correct calculation using the given equation y = 200 + 0.30x is:
y = 200 + 0.30(2000) = 800
Therefore, someone who traveled 2000 miles from NYC would pay $800 for their airfare.
Answer questions based on this graph. Will give brainlest!!!
1.What percent of students got less than a 60% on their math quiz? Round to the nearest whole percent
2.What percent of students got higher than a 70% on their test?Round to the nearest whole percent.
3. How many students scored an 86% or better on their quiz?
4 .?What percentage of students got a 100% on their math quiz? Round to the nearest whole percent?
5. If an 85% score forgot to be added to the graph what would the mean be now? Round to the nearest percent
6. What is the mean of the math pop scores? Round to the nearest percent.
7. What percentage of students scored a 90% on their quiz? Round to the nearest percent
8. What is the range of the math quiz scores?
9. How many students scored better than a 60% on their quiz?
10. What is the median math pop score?
Answer:4
4 What percentage of students got a 100% on their math quiz? Round to the nearest whole percent?
Step-by-stepStep-by-stepStep-by-step explanation: 4 What percentage of students got a 100% on their math quiz? Round to the nearest whole percent?
PLEASE HELP 100 POINTS + BRAINLEST!
Answer: B
Step-by-step explanation:
The external angle is = to the sum of the other 2 angles so <x=125
and <y=55 Because of the supplemental rule.
So answer is B
ASAP The vertices of a rectangle are plotted in the image shown.
A graph with the x-axis and y-axis labeled and starting at negative 8, with tick marks every one unit up to positive 8. There are four points plotted at negative 4, 4, then 3, 4, then negative 4, negative 3, and at 3, negative 3.
What is the perimeter of the rectangle created by the points?
49 units
56 units
14 units
28 units
The perimeter of the rectangle created by the given points (-4, 4), (3, 4), (-4, -3), and (3, -3) is 28 units. The length of each side is calculated, and the sum of all four sides gives the perimeter. Option D.
To find the perimeter of the rectangle created by the given points, we need to calculate the sum of the lengths of all four sides.
Let's calculate the length of each side:
Side 1: The distance between (-4, 4) and (3, 4) along the x-axis is 3 - (-4) = 7 units.
Side 2: The distance between (-4, 4) and (-4, -3) along the y-axis is 4 - (-3) = 7 units.
Side 3: The distance between (-4, -3) and (3, -3) along the x-axis is 3 - (-4) = 7 units.
Side 4: The distance between (3, -3) and (3, 4) along the y-axis is 4 - (-3) = 7 units.
Now, let's sum up the lengths of all four sides:
Perimeter = Side 1 + Side 2 + Side 3 + Side 4
Perimeter = 7 + 7 + 7 + 7
Perimeter = 28 units
Therefore, the perimeter of the rectangle created by the given points is 28 units. Option D is correct.
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A triangle has sides with lengths of 18 millimeters, 25 millimeters, and 15 millimeters. Is it a right triangle?
Answer:
We can use the Pythagorean theorem to determine if the triangle is a right triangle. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
Let's label the sides of the triangle as a = 18 mm, b = 25 mm, and c = 15 mm. We want to see if a right angle exists between sides a and b, so we will check if c² = a² + b².
a² + b² = 18² + 25² = 324 + 625 = 949
c² = 15² = 225
Since c² is not equal to a² + b², the triangle is not a right triangle.
Therefore, the answer is no, the triangle is not a right triangle.
what is the answer to this?
-2/5-(-9/15)
Answer:
1/5
Step-by-step explanation:
-2/5 - (-9/15) make like denominators
-6/15 - (-9/15) negative and negative make positive
-6/15 + 9/15 solve
3/15 simplify
1/5
HELPP!!!Show all work to identify the asymptotes and state the end behavior of the function f of x is equal to 3x divided by the quantity of x minus 9 end quantity.
The cost to produce a product is modeled by the function f(x) = 2x2 − 12x + 24, where x is the number of products produced. Complete the square to determine the minimum cost of producing this product.
Answer:
Step-by-step explanation:
f(x) = 2x2 − 12x + 24
= 2(x^2 - 6x) + 24
= 2[(x - 3)^2 - 9) + 24
= 2(x - 3)^2 - 18 + 24
= 2(x - 3)^2 + 6
- so the minimum cost is 6
A car company charges customers an initial charge plus a daily charge to rent cars. The initial charge is $40 and the daily charge is $35. The rental company charged Frank $180. Create an equation that can be used to find the number of days, x, that Frank rented the car.
Answer:
Total Charge = Initial Charge + Daily Charge x Number of Days
Step-by-step explanation:
Let's assume that x is the number of days that Frank rented the car.
The initial charge for the rental is $40, which is a one-time charge, so it does not depend on the number of days.
The daily charge for x days is $35 per day. Therefore, the total charge for x days can be calculated as:
Total Charge = Initial Charge + Daily Charge x Number of Days
Total Charge = $40 + $35x
We know that Frank was charged $180, so we can set the total charge equal to $180 and solve for x:
$40 + $35x = $180
Subtracting $40 from both sides gives:
$35x = $140
Dividing both sides by $35 gives:
x = 4
Therefore, Frank rented the car for 4 days.
Athletes from Seneca nation practice lacrosse every Monday, Wednesday ,and Friday each practice lasts 1 3/4 hours what is the total number of hours the athletes spend at lacrosse practice each week
Upon answering the query Thus, the athletes devote a total of 21/4 equation hours, or 5 1/4 hours, to lacrosse practise each week.
What is equation?An equation in math is an expression that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between each of the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The sign and only one variable are frequently the same. as in, 2x - 4 equals 2, for instance.
On Monday, Wednesday and Friday, the Seneca Nation athletes practise lacrosse for 1 3/4 hours daily.
[tex]1 3/4 hours + 1 3/4 hours + 1 3/4 hours1 3/4 = 7/4\\7/4 + 7/4 + 7/4\\7/4 + 7/4 + 7/4 = (7+7+7)/4 = 21/4\\[/tex]
Thus, the athletes devote a total of 21/4 hours, or 5 1/4 hours, to lacrosse practise each week.
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10PTS pleas help what is the answer
From the given dimensions, it seems like the figure is a trapezoid.Therefore, the surface area of the figure is 300 square feet.
What is surface area?Surface area is the measure of the total area that the surface of an object occupies. It is calculated by adding the area of all the faces or surfaces of the object.
What is trapezoid?A trapezoid is a four-sided geometric shape that has one pair of parallel sides. It is also called a trapezium. The parallel sides are called bases and the non-parallel sides are called legs.
According to the given information:
To calculate the surface area of the figure, we need to split it into smaller shapes and then calculate their individual areas. From the given dimensions, it seems like the figure is a trapezoid.
The formula for the surface area of a trapezoid is (1/2) × (a + b) × h, where a and b are the lengths of the two parallel sides and h is the height.
Using this formula, we can calculate the surface area of the trapezoid:
Surface Area = (1/2) × (15 + 9) × 15 + 2 × 15 × 4
= (1/2) × 24 × 15 + 2 × 15 × 4
= 180 + 120
= 300ft²
Therefore, the surface area of the figure is 300 square feet.
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A rectangle has vertices at these coordinates.
(0, 8), (5, 8), (5, 0)
What are the coordinates of the fourth vertex of the rectangle?
Enter the coordinates in the boxes.
Answer:
Step-by-step explanation:
(0,0)
i hope this helps
The chart shows the number of students who participate in various sports.
A 2-column table with 5 rows. Column 1 is labeled Sport with entries flag football, tennis, dance, basketball, cheer. Column 2 is labeled Number of Students with entries 35, 27, 43, 33, 26.
What is the ratio of students who dance to the total number of students?
StartFraction 43 Over 95 EndFraction
StartFraction 43 Over 121 EndFraction
StartFraction 43 Over 164 EndFraction
StartFraction 43 Over 175 EndFraction
Solve for x. 11=3+4x
To solve for x, we need to isolate the variable (x) on one side of the equation. We can do that by first subtracting 3 from both sides of the equation to get:
11 - 3 = 4x
Simplifying the left side gives:
8 = 4x
Finally, dividing both sides by 4 gives:
x = 2
Therefore, the solution to the equation 11=3+4x is x=2.
the solution to the equation [tex]11=3+4x[/tex] 11=3+4x is [tex]x = 2[/tex] X = 2.
The equation [tex]11=3+4x[/tex] 11=3+4x is a linear equation in one variable [tex](x)[/tex](x) with coefficients and constants that are real numbers.
It can be simplified by performing basic algebraic operations, such as isolating the variable term [tex](4x)[/tex] (4x) and solving for the value of [tex]x[/tex] x.
to solve for x in the equation [tex]11=3+4x[/tex] 11=3+4x, we will follow the steps of algebraic manipulation:
First, we will isolate the variable term [tex](4x)[/tex] (4x) by subtracting 3 from both sides of the equation:
[tex]11 - 3 = 4x[/tex] 11 - 3 = 4x
[tex]8 = 4x[/tex] 8 = 4x
Next, we will isolate x by dividing both sides by 4:
[tex]8/4 = x[/tex] 8/4 = x
[tex]2 = x[/tex] 2 = x
Therefore, the solution to the equation [tex]11=3+4x[/tex] 11=3+4x is [tex]x=2[/tex] x=2.
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Maricopa's Success scholarship fund receives a gift of $ 95000. The money is invested in stocks, bonds, and CDs. CDs pay 4.75 % interest, bonds pay 4.2 % interest, and stocks pay 11.2 % interest. Maricopa Success invests $ 35000 more in bonds than in CDs. If the annual income from the investments is $ 6845 , how much was invested in each account?
Maricopa Success invested $18,000 in CDs, $32,000 in bonds, and $24,000 in stocks.
What is investment?
Property acquired or invested in to build wealth and save hard-earned income or appreciation is called investment.
Let's start by assigning variables to represent the amounts invested in each type of account:
Let x be the amount invested in CDs.
Let y be the amount invested in bonds.
Let z be the amount invested in stocks.
From the problem statement, we know that:
Here total invested amount is $95,000,
So, we have
[tex]x + y + z = 95,000.[/tex]
The amount invested in bonds is $35,000 more than the amount invested in CDs,
So we have
[tex]y = x + 35,000.[/tex]
The annual income from the investments is $6,845, which we can express as:
0.0475x + 0.042y + 0.112z = 6,845........ (1)
Now we can use the system of equations formed by the three equations above to solve for x, y, and z. First, we can substitute [tex]y = x + 35,000.[/tex] into the equation [tex]x + y + z = 95,000[/tex] to get,
[tex]x + (x + 35,000) + z = 95,000[/tex]
Simplifying this equation, we get:
2x + z = 60,000........ (2)
Next, we can substitute y = x + 35,000 and simplify the equation (1) using equation (2) to get:
[tex]0.0475x + 0.042(x + 35,000) + 0.112z = 6,845[/tex]
Simplifying and rearranging this equation, we get:
0.0895x + 0.112z = 8,545 ..........(3)
Let's use substitution by solving equation (2) for z and substituting into equation (3):
Now, z = 60,000 - 2x
So, 0.0895x + 0.112(60,000 - 2x) = 8,545
Simplifying and solving for x, we get:
x = 18,000
Substituting this value of x into equation (2) to solve for z, we get:
2(18,000) + z = 60,000
z = 24,000
Finally, we can use equation (1) to solve for y:
[tex]0.0475(18,000) + 0.042(y) + 0.112(24,000) = 6,845[/tex]
Simplifying and solving for y, we get:
y = 32,000
Therefore, Maricopa Success invested $18,000 in CDs, $32,000 in bonds, and $24,000 in stocks.
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Need help will give brainliest and 5 stars! :)
The value of s in the given logarithmic functions is 19683.
What is logarithm equation?
A logarithmic equation is an equation that involves logarithmic functions.
Logarithms are the inverse functions of exponential functions and are used to solve for an unknown variable that appears as an exponent in an exponential equation.
For the given logarithm function, the value of s is calculated by applying the following steps;
log₃s = 9
rewrite the equation in exponential form:
3⁹ = s
3⁹ = 19683
So, the value of s is 19683.
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On a number line, point S is at -2, and point T is at 7. Point R is the midpoint of ST. Where does point R lie on the number line?
OA. 2.5
O
O
O
B.
4.5
C. -2.5
D. -4.5
Reset
Next
The correct answer is option A. 2.5.
What is a number line?
A number line is a visual representation of a line where the points are the real numbers. The line is usually drawn horizontally, with zero in the center and positive numbers to the right and negative numbers to the left. The numbers on the number line are evenly spaced and correspond to points on the line. A number line is a useful tool for understanding the relationships between numbers and for performing operations such as addition and subtraction. It is also used to represent measurements, such as distances and time intervals.
To find the midpoint of a line segment, we add the coordinates of the two endpoints and divide by 2. In this case, the coordinates of point S are -2 and the coordinates of point T are 7.
So the coordinate of the midpoint, point R, is:
R = (S + T)/2 = (-2 + 7)/2 = 5/2 = 2.5
Therefore, point R lies at 2.5 on the number line.
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Find the measure of angle x in the figure below:
35 degrees
47 degrees
51 degrees
62 degrees
Answer:
x= 51°
Step-by-step explanation:
Fist find the measure of angle y.
A straight angle measures 180°
180 - 57 - 61 = 60
y = 62
The sum of the interior angles of a triangle also equals 180
180 - 62 - 67 = 51
x= 51°
Helping in the name of Jesus.
A large box contains colored blocks, all the same size. There are only blue, red,
yellow, and orange blocks in the box.
A random sample of 40 blocks was removed from the box, then replaced. The
result of the sampling was the following:
. 9 blue
• 15 red
• 11 yellow
• 5 orange
One block will be removed from the box. Based on the experimental results, mato
each color with the probability for that color of block being removed from the box
The probability for each colour of the block is removed from the box is as follows:
Blue: 9/40
Red: 15/40
Yellow: 11/40
Orange: 5/40
Explain the term probability
Probability is a measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1. It is used to model uncertainty and randomness in various fields, such as statistics, science, engineering, and economics. Probability theory provides a framework for analyzing and predicting the outcomes of random experiments, and it has applications in many real-world situations, such as gambling, insurance, and quality control.
According to the given information
The probability of drawing a block of a certain colour from the box can be calculated by dividing the number of blocks of that colour by the total number of blocks in box 1. Based on the experimental results, the probability for each color of block being removed from the box is as follows:
The probability of drawing Blue: 9/40
The probability of drawing Red: 15/40
The probability of drawing Yellow: 11/40
The probability of drawing Orange: 5/40
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write each of these ratios in lowest terms using a colon 3.0 to 1.2
Answer:
To write the ratio 3.0 to 1.2 in lowest terms using a colon, we need to divide both numbers by their greatest common factor (GCF).
The GCF of 3.0 and 1.2 is 0.6, since:
3.0 = 5(0.6)
1.2 = 2(0.6)
Dividing both numbers by 0.6, we get:
3.0/0.6 = 5
1.2/0.6 = 2
Therefore, the ratio 3.0 to 1.2 in lowest terms using a colon is:
5:2
Write the following as an algebraic expression. Simplify if possible.
Subtract 5x−2 from x−1.
Answer:
The algebraic expression for "Subtract 5x−2 from x−1" is:
(x - 1) - (5x - 2)
Simplifying this expression:
x - 1 - 5x + 2
= -4x + 1
Therefore, the simplified algebraic expression is -4x + 1.
HELP ASAPPPP 10 POINTS EASY
The equation of g ( x ), given that it is a vertical stretch, would be (4/5)x² - 4.
How to find the equation ?The output (dependent variable) of f(x) must be multiplied by the stretching factor in order to obtain the equation of g(x), which is a vertical stretching of f(x) by a factor of 2.
The function can be shown as:
f(x) = Ay² + B
g(x) = 2(Ay² + B)
g(x) = 2((2/5)x² - 2)
g(x) = (4/5)x² - 4
So, the equation of g(x) is g(x) = (4/5)x² - 4.
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Triangle DEF has vertices D(1,1), E(2,0), and F(0,4). It is transformed by a rotation 180 degrees about the origin followed by a dilation with a scale factor of 3. Find the coordinates of the vertices of triangle D”E”F”.
Check the picture below.
Use the standard normal table to find the z-score that corresponds to the given percentile. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score.
P15
Answer needed immediately
The z score that corresponds to P4 is = -1.75
How to solvelet the z score corresponding to the 4th percentile be a.
according to the problem:-
[tex]P(Z\leq a)=P_{4}=0.04[/tex]
[tex]\Rightarrow \Phi(a)=0.04[/tex]
[tex]\Rightarrow a=\Phi^{-1}(0.04)[/tex]
[tex]\Rightarrow \mathbf{a\approx -1.75} [ excel function : =NORMSINV(0.04) ][/tex]
the z score that corresponds to P4 is = -1.75
A Z-table, also referred to as a standard normal table, is an essential reference tool in statistical analysis. Its primary functions include calculating areas and probabilities under the standard normal distribution curve based on given values of z-scores.
In most cases, it provides cumulative probabilities for z- scores between -3.49 and 3.49, approximated to two decimal places.
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7 + 3(v - 2u)
u+1
=
u=2 v=5
Answer:
10/3Step-by-step explanation:
7 + 3 ( v - 2u )/u + 1
u = 2 and v = 5
7 + 3(v - 2u)/u + 1
7 + 3 ((5) - 2(2)) / (2) + 1
→ 7+3 ((5) -2 (2)) = 10
→ (2) + 1 = 3
10/3
Answer:
10/3
Step-by-step explanation:
u = 2
v = 5
7 + 3(v - 2u)
= 7 + 3(5 - 2*2)
= 7 + 3(5 - 4)
= 7 + 3(1)
= 7 + 3
= 10
u + 1
= 2 + 1
= 3
7 + 3(v - 2u)/u + 1
= 10/3
