From the given information about the vertices of the quadrilateral, the point at which the PQRS quadrilateral will be made a rectangle is S(17/14, -1/7).
What is a quadrilateral? What are its properties?A quadrilateral is a four-sided polygon, which means it's an unrestricted shape with four straight sides.The parcels of a quadrilateral include Four sides A quadrilateral has four sides.The sum of the angles in a quadrilateral is always 360 degrees.Each type of quadrilateral has its own unique set of parcels and characteristics.Perimeter The border of a quadrilateral is the sum of the lengths of its sides.Area The area of a quadrilateral can be calculated using colorful formulas, depending on the type of quadrilateral and the information given about its sides and angles.What is a rectangle? What are its properties?An example of a quadrilateral with all four angles at right angles (90 degrees) and opposite sides that are parallel and of equal length is a rectangle.The characteristics of a rectangle are as follows: 4 right angles: A rectangle has four angles, and all four of them are right angles, which means they are all 90 degrees.A rectangle's perimeter is determined by adding the lengths of its four sides, which is equal to twice the length plus twice the width.Area: The length times the breadth of a rectangle equals the area of that shape.Perpendicular sides are opposite sides: A rectangle's opposite sides are perpendicular to one another, therefore when they intersect, they do so at a right angle.Parallelograms include rectangles as well: since a rectangleWe need to find the point that would make PQRS a rectangle. We will first determine the fourth vertex S which, when connected to the remaining three vertices, forms a quadrilateral with four right angles.As opposite sides of a rectangle are parallel and equal in length, we can first find the lengths of PQ and RS, which should be equal in a rectangle.From the distance formula, we have:PQ = [tex]\sqrt{6-7)^{2}} +(-3+5)^{2} =\sqrt{[2^{2}+(-2)^{2} } =\sqrt{8}[/tex]RS = [tex]\sqrt{(0 - 6)^2+ (-5 + 3)^2} + \sqrt{[(-6)^2 + (-2)^2] }= \sqrt40}[/tex]The midpoint of PQ is: [tex][(6 - 5)/2, (-3 - 3)/2] = (0, -3)[/tex]The slope of PQ is: [tex](6 - 7)/(-3 + 5) = -1/2[/tex]The equation of the perpendicular bisector of PQ is:[tex]y + 3 = 2(x - 0) or y = 2x - 3[/tex]The midpoint of RS is: [tex][(0 - 6)/2, (-5 - 0)/2] = (-3, -5/2)[/tex]The slope of RS is: [tex](0 - 6)/(-5 + 3) = 3[/tex]The equation of the perpendicular bisector of RS is :[tex]y + 5/2 = (-1/3)(x + 3) or y = (-1/3)x - 1/6[/tex]Now to find the intersection of these two lines, we can set them equal to each other and compute the value for x:[tex]2x - 3 = (-1/3)x - 1/6[/tex][tex]12x - 18 = -2x - 1[/tex]Adding 2x and 18 to both sides gives:[tex]14x = 17x = 17/14[/tex]To find the y-coordinate of the intersection, substitute x into either equation:[tex]y = 2(17/14) - 3 = 1/7[/tex]So, the point that would make PQRS a rectangle is S(17/14, -1/7).To know more about polygons visit:
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The answer is option c.) S(-8,2).
What is quadrilateral?A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
For PQRS to be a rectangle, its opposite sides must be parallel and have equal length. We can find the length of PQ and RS using the distance formula:
PQ = √[(Qx - Px)² + (Qy - Py)²]
= √[(-3 - (-5))² + (6 - 7)²]
= √[4 + 1]
= √[5]
RS = √[(Sx - Rx)² + (Sy - Ry)²]
= √[(-8 - (-6))² + (2 - 0)²]
= √[4 + 4]
= √[8]
Since PQ and RS are not equal, we need to find a point S such that PQRS has equal sides. Moreover, the diagonals of a rectangle bisect each other. Hence, we can use the midpoint formula to find a point that bisects PR:
M = [(-5 - 6)/2, (7 + 0)/2]
= (-11/2, 7/2)
Let's consider each option:
a.) S(-4,-1)
The slope of PQ is (6 - 7)/(-3 + 5) = -1/2, so the slope of RS must be -1/2 as well. The slope of RS is (2 - 0)/(-8 + 6) = 1, so S(-4, -1) cannot be a point of RS.
b.) S(-7,2)
The slope of PQ is (6 - 7)/(-3 + 5) = -1/2, so the slope of RS must be -1/2 as well. The slope of RS is (2 - 0)/(-7 + 6) = -2, so S(-7, 2) cannot be a point of RS.
c.) S(-8,2)
The slope of PQ is (6 - 7)/(-3 + 5) = -1/2, so the slope of RS must be -1/2 as well. The slope of RS is (2 - 0)/(-8 + 6) = 1, so S(-8, 2) could be a point of RS. Moreover, the distance from S to the midpoint of PR is:
√[(-11/2 - (-8))² + (7/2 - 2)²]
= √[25/4 + 9/4]
= √[34]/2
This is equal to the length of PQ, so PQRS could be a rectangle with S(-8, 2).
d.) S(-8,1)
The slope of PQ is (6 - 7)/(-3 + 5) = -1/2, so the slope of RS must be -1/2 as well. The slope of RS is (1 - 0)/(-8 + 6) = -1, so S(-8, 1) cannot be a point of RS.
Therefore, the answer is option c.) S(-8,2).
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Simon wants to fill 8 punch bowls for a birthday party. Each punch bowl holds 9 1/5 quarts of punch. How much punch will Simon need?
Write your answer as a fraction or as a whole or mixed number.
PLEASE HELP ME
Answer:
73.52 OR 74.00
Step-by-step explanation:
1.) 8 x 1/5 (I prefer converting to decimals first)
2.) 8.00 x 9.19 = 73.52 ----> (Rounding the ones place up) 74.00
In a circle ABCD, OB = 10 cm. Find the measure of AC.
The measure of AC, in circle ABCD can be found to be 20 cm.
How to find the measure?In Circle ABCD, O is the midpoint of the circle which means that OB is the radius.
As A and C are on opposite sides of the circle, it means that the value of the measure of AC would be the diameter of the circle which can be found if we have the radius.
The diameter which is AC would then be:
= Radius x 2
= OB x 2
= 10 x 2
= 20 cm
In conclusion, the measure of AC is 20 cm.
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Ana has $15 in the bank. Her sister Benita has 1/3 as much money in the bank. How much money does Benita have in the bank?
Answer:5
Step-by-step explanation: you divide 15 by 3 which gives you 5
help me plsssssssss
Answer: 13. 30
Step-by-step explanation:
13. Area = 18x * 10y = 180xy
Length = 6th
With ?
180xy = 6xy x width
180 x/6xy
Width = 30
14. 3^(9-5)= 3^4 = 81 the truck weighs 81 times as the driver
3^5
5) What is the correct definition of a resume?
Question 5 options:
a letter listing all former employers, salaries and positions the applicant has ever had
a document listing detailed reasons why the applicant wants to work for the company and why he should be chosen
a letter serving as a sample of the applicant's writing skills and communication style
a document describing the applicant's experience, strengths, skills, education, and other qualifications
Answer:
The correction definition of a resume is a document describing the applicant's experience, strengths, skills, education and other qualifications.
find the median mode and range for each set of data 23,87,19,34,37,87,5,14,100,26
The mean, median, mode and range are 42.2, 30, 87 and 95 respectively.
What is mean, mode median and range?The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
Therefore mean = (23+87+19+34+37+37+5+14+100+26)/10
= 422/10 = 43.2
The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.
median = 26+34/2 = 60/2 = 30
Mode is the number with the highest frequency
Therefore, the mode is 87
Range Is the difference between the highest and the lowest
= 100-5 = 95
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Alvin's new bag of 50 marbles of different
designs spilled in his backpack. On the way
home from school, he randomly selects one
marble from the backpack, records the
result, puts the marble back in the bag,
and selects again. Here are his results:
jasper, galaxy, cat's-eye, rainbow,
galaxy, sunburst, galaxy, cat's-eye,
sunburst, jasper
Based on the data, estimate how many of
the marbles in Alvin's backpack are galaxy
marbles.
If necessary, round your answer to the
nearest whole number.
Answer: 7
Step-by-step explanation:
i did it a weird way
susie has a rectangular garden that is 10 feet by 12 feet she plants flowers in a circular shape with a radius of 4 feet if Susie only wants to fertilize the space outside the flowers how many square feet will she fertilize.
She will fertilize 69.76 square feet outside of the circular flowers.
How many Sq ft will Susie fertilize outside the circular flowers?In order to get the area that she will fertilize outside of the circular flowers, we will calculate area of the entire rectangular garden and the area of the circular flowers.
The area of the rectangular garden is:
[tex]= 10 ft * 12 ft\\= 120 sq ft[/tex]
The area of the circular flowers is:
[tex]= \pi r^2\\= 3.14 * 4^2\\= 50.24 sq ft[/tex]
To find area to be fertilize outside of the circular flowers, we will subtract these area which gives us:
[tex]= 120 sq ft - 50.24 sq ft\\= 69.76 sq ft[/tex]
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The statement. "the average height of an adult male is 5'10''," is an example of _______estimate
The statement "the average height of an adult male is 5'10''" is an example of a statistical estimate.
An estimate is an approximation or prediction of a value based on limited information or data. In this case, the estimate is based on data collected from a sample of adult males, and it represents the expected height of an average adult male in the population.
Statistical estimates are commonly used in many fields like business, finance, economics, and social sciences. They are used to make predictions and decisions based on uncertain information.
For example, a company might use statistical estimates to predict future sales. It is important to note that estimates are not exact or precise measurements, but rather are based on assumptions and limitations. They are subject to errors and uncertainties, and can be affected by factors such as sample size, sampling method, and measurement errors. Therefore, it is important to understand the limitations of statistical estimates and to interpret them with caution.
In summary, the statement "the average height of an adult male is 5'10''" is an example of a statistical estimate, which represents an approximation of a value based on limited information and assumptions.
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Corina makes 27$ for every 2 hours that she works.If she worked 36 hours this week,how much money did she make
Answer:
Corina makes $27 for every 2 hours that she works, so she makes $13.50 for every hour she works (since 2 times $13.50 equals $27).
If she worked 36 hours this week, then she made:
$13.50 x 36 = $486
Therefore, Corina made $486 this week.
Step-by-step explanation:
Answer: $486
Step-by-step explanation:
27/2= 13.5
$13.5 per hour
13.5 x 36 = $486
If the radius is 3 and LM=2, what is KL?
The calculated value of the length of segment KL is 4 units
Calculating the length of segment KLFrom the question, we have the following parameters that can be used in our computation:
Radius, r = 3
LM = 2
JK = 3
The length KL is calculated as
KL² = JL² - JK²
Where
JL = r + LM = 3 + 2 = 5
Substitute the known values in the above equation, so, we have the following representation
KL² = 5² - 3²
KL² = 16
Take the square roots
KL = 4
Hence, the length is 4 units
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Lea has two number cubes. The faces of each number cube are numbered from 1 to 6. Lea rolled the number cubes and recorded the number showing on the top face of each number cube. The results are shown in the table.
Based on these results, what is the experimental probability that the next time Lea rolls the number cubes, they will land with a 1 showing on the top face of one number cube and a 5 showing on the top face of the other number cube?
*
1 point
Captionless Image
Your answer
We can deduce here that the experimental probability that the next time Lea rolls the number cubes, they will land with a 1 showing on the top face of one number cube and a 5 showing on the top face of the other number cube is: 1/36.
What is probability?Probability is a measure for determining the possibility or chance that a specific event will take place. It is typically stated as a number between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty.
We can see that there is only one roll where one number cube that shows a 1 and the other number cube shows a 5. Therefore, the number of successful outcomes is 1.
The total number of rolls seen are: 36 rolls = 6 possible outcomes on the first number cube × 6 possible outcomes on the second number cube.
We can then see here that the probability will be = 1/36.
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During the 1999 and 2000 baseball seasons, there was much speculation that the unusually large number of home runs that were hit was due at least in part to a livelier ball. One way to test the "liveliness" of a baseball is to launch the ball at a vertical surface with a known velocity and measure the ratio of the outgoing velocity of the ball to. The ratio is called the coefficient of restitution. Following are measurements of the coefficient of restitution for 40 randomly selected baseballs.
The balls were thrown from a pitching machine at an oak surface.
0. 6248 0. 6237 0. 6118 0. 6159 0. 6298 0. 6192 0. 6520 0. 6368 0. 6220 0. 6151 0. 6121 0. 6548 0. 6226 0. 6280 0. 6096 0. 6300 0. 6107 0. 6392 0. 6230 0. 6131 0. 6223 0. 6297 0. 6435 0. 5978 0. 6351 0. 6275 0. 6261 0. 6262 0. 6262 0. 6314 0. 6128 0. 6403 0. 6521 0. 6049 0. 6170 0. 6134 0. 6310 0. 6065 0. 6214 0. 6141
Suppose that any baseball that has a coefficient of restitution that exceeds 0. 630 is considered too lively.
Based on the available data, what proportion of the baseballs in the sampled population are too lively?
Find a 95% lower confidence bound on this proportion. Assume population is approximately normally distributed
Approximately 30% of the sampled baseballs are too lively based on a cutoff coefficient of restitution of 0.630. The 95% lower confidence bound on this proportion is 0.154.
To find the proportion of the baseballs in the sampled population that are too lively, we need to count the number of baseballs in the sample that have a coefficient of restitution greater than 0.630 and divide by the total sample size
Number of baseballs with coefficient of restitution > 0.630 = 12
Total sample size = 40
Proportion of baseballs in the sample that are too lively = 12/40 = 0.3 = 30%
To find a 95% lower confidence bound on this proportion, we can use the formula
lower bound = p - zsqrt(p(1-p)/n)
where p is the sample proportion, z is the z-score associated with the desired confidence level (95% confidence level has a z-score of 1.96), and n is the sample size.
Substituting the values, we get:
lower bound = 0.3 - 1.96sqrt(0.3(1-0.3)/40) ≈ 0.154
Therefore, we can be 95% confident interval that at least 15.4% of the baseballs in the population are too lively.
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i need help feeling in the blank
The circumference of a circle is proportional to its diameter. The constant of proportionality for this relationship is pi (π). Therefore, we can use the equation C = πd (where C is the circumference and d is the diameter) to determine the circumference of a circle.
What is piPi (π) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is approximately equal to 3.14159, but its decimal representation goes on infinitely without repeating.
The radius of a circle is half the length of its diameter. Therefore, the relationship between diameter and radius is that the diameter is twice the length of the radius, or d = 2r.
If given the diameter of a circle, you can calculate its radius by dividing the diameter by 2 (r = d/2). Conversely, if given the radius of a circle, you can calculate its diameter by multiplying the radius by 2 (d = 2r).
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Question 3(Multiple Choice Worth 2 points)
(Appropriate Measures MC)
A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20
A graph titled Donations to Charity in Dollars. The x-axis is labeled 1 to 5, 6 to 10, 11 to 15, and 16 to 20. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 1 to 5, up to 3 above 6 to 10, up to 1 above 11 to 15, and up to 7 above 16 to 20.
Which measure of variability should the charity use to accurately represent the data? Explain your answer.
The range of 13 is the most accurate to use, since the data is skewed.
The IQR of 13 is the most accurate to use, since the data is skewed.
The range of 20 is the most accurate to use to show that they have plenty of money.
The IQR of 20 is the most accurate to use to show that they need more money.
The IQR of 13 is more appropriate to use than the range of 13, as it provides a more accurate representation of the variability in the data when the data is skewed. Thus, option B is correct.
What is the accurate and IQR?The range is the difference between the maximum and minimum values in a dataset, and it is affected by extreme values, which can result in a misleading representation of the variability in the data.
if the data is skewed or contains outliers, the range may not accurately represent the variability in the data.
However, it is not appropriate to use the range of 20 to show that they have plenty of money or the IQR of 20 to show.
Therefore, in this case, the IQR of 13 is more appropriate to use than the range of 13, as it provides a more accurate representation of the variability in the data when the data is skewed.
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3. What is the vertex of each quadratic function. a) y = (x + 3)² - 6 b) y = (x-7)² + 2 c) y = (x-4)²
The vertex of the quadratic functions are (-3, -6), (7, 2) and (4, 0).
Stating the vertex of the quadratic functionsThe vertex of a quadratic function in the form y = a(x - h)² + k is given by the point (h, k).
To find the vertex, we need to rewrite the quadratic function in this form by completing the square.
a) y = (x + 3)² - 6:
We can rewrite this equation as y = (x - (-3))² - 6, which is in the form y = a(x - h)² + k.
Therefore, the vertex is (h, k) = (-3, -6).
b) y = (x-7)² + 2:
We can rewrite this equation as y = (x - 7)² + 2, which is in the form y = a(x - h)² + k.
Therefore, the vertex is (h, k) = (7, 2).
c) y = (x-4)²:
We can rewrite this equation as y = (x - 4)² + 0, which is in the form y = a(x - h)² + k.
Therefore, the vertex is (h, k) = (4, 0).
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Question 9(Multiple Choice Worth 2 points)
(Creating Graphical Representations LC)
A teacher was interested in the subject that students preferred in a particular school. He gathered data from a random sample of 100 students in the school and wanted to create an appropriate graphical representation for the data.
Which graphical representation would be best for his data?
Stem-and-leaf plot
Histogram
Circle graph
Box plot
The correct answer is option c) A circle graph, also known as a pie chart, would be the best graphical representation for the teacher's data on the subject preferences of the 100 students in the school.
What is graphical representation?
A graphical representation is a way of presenting data or information visually using charts, graphs, diagrams, or other visual aids. It helps to convey complex information in an easy-to-understand manner, enabling the viewer to quickly grasp the main points and trends.
A circle graph, also known as a pie chart, would be the best graphical representation for the teacher's data on the subject preferences of the 100 students in the school.
A circle graph can effectively display the relative proportions of different categories in a data set, making it a useful tool for showing the distribution of categorical data such as subject preferences.
A stem-and-leaf plot is more suitable for displaying numerical data, while a histogram and box plot are typically used for showing the distribution of continuous data.
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A company is designing a new cylindrical water bottle. The volume of the bottle will be 220 cm cubed 3. The height of the water bottle is 8. 9 cm. What is the radius of the water bottle? Use 3. 14 for π
The radius of the cylindrical water bottle is approximately 2.34 cm.
The company designing the water bottle has given us the volume of the bottle, which is 220 cm³, and the height of the bottle, which is 8.9 cm. We can use the formula for the volume of a cylinder to relate the radius, height, and volume of the water bottle. The formula is:
Volume of a cylinder = π × radius² × height
We are given the volume of the cylinder as 220 cm³ and the height as 8.9 cm, so we can substitute these values into the formula to get:
220 = π × radius² × 8.9
To solve for the radius, we need to isolate it on one side of the equation. We can start by dividing both sides by π × 8.9:
220 ÷ (π × 8.9) = radius²
Now, we can take the square root of both sides to find the value of the radius:
√(220 ÷ (π × 8.9)) = radius
Using 3.14 for π, we can simplify the expression to get:
radius ≈ 2.34 cm
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i dont understand what this means if yall want to help
Answer: Just simply replace the letter with the number that it equals in the equation. Then solve the equation using PEMDAS order of operations, (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction).
Step-by-step explanation:
i need help will give brainliest am failing class its due tomorrow
The length of the second shelf is 98 centimeters.
Let's denote the length of the first shelf as x centimeters. According to the problem, we have the following equations for the lengths of the other shelves:
Second shelf: 2x + 18 cm
Third shelf: x - 12 cm
Fourth shelf: x + 4 cm
Robert must use the entire 2.5-meter board for the shelves, so the sum of the lengths of the four shelves should be equal to 2.5 meters, or 250 centimeters. Thus, we can write an equation:
x + (2x + 18) + (x - 12) + (x + 4) = 250
Simplify the equation:
x + 2x + 18 + x - 12 + x + 4 = 250
Combine like terms:
6x + 10 = 250
Subtract 10 from both sides:
6x = 240
Now, divide by 6:
x = 40
Now that we have the length of the first shelf (x = 40 cm), we can find the length of the second shelf:
Second shelf = 2x + 18 = 2(40) + 18 = 80 + 18 = 98 cm
So, the length of the second shelf is 98 centimeters.
Answer:
114 cm
Step-by-step explanation:
Let's start by finding the shortest shelf.
The second shelf is 18 centimeters longer than twice the length of the first shelf. The first shelf is smaller than the second shelf.
The third shelf is 12 centimeters shorter than the first shelf. The third shelf is shorter than the first shelf, so, the third shelf is the shortest shelf.
Let's call the length of the third shelf s.
We know that the third shelf is 12 centimeters shorter than the first shelf. In other words, s is 12 centimeters shorter than the first shelf. So, we can write the length of the first shelf as:
[tex]s+12[/tex]
We also know that the second shelf is 18 cm longer than twice the length of the first shelf.
Start by multiplying the length of the first shelf by 2.
[tex]2(s+12)=2s+24[/tex]
Now, let's add 18.
[tex]2s+24+18=2s+42[/tex]
So, the length of the second shelf is 2s+42.
The remaining shelf is 4 centimeters longer than the first shelf. Remember that the first shelf is s+12. Let's add 4.
[tex]s+12+4=s+16[/tex]
So, the first shelf is s+12, the second shelf is 2s+42, the third shelf is s, and the remaining shelf is s+16.
When you add them all together, you will get the 2.5 meter board.
2.5 meters is equal to 250 cm.
So, the first shelf plus the second shelf plus the third shelf plus the remaining shelf is equal to the entire board, or 250 cm.
Let's rewrite that in terms of s:
[tex](s+12)+(2s+42)+s+(s+16)=250=\\5s+70=250=\\5s=180=\\s=36[/tex]
We now know that s=36 cm.
The problem asks how long the second shelf is. Recall that the second shelf is 2s+42.
Let's plug in 36 to this expression:
[tex]2s+42=\\2(36)+42=\\72+42=\\114[/tex]
So, the second shelf is equal to 114 cm.
If I have this sequence 2, 4, 6, . .. I can describe the rule as add 2
For each sequence below, describe the rule and write the
next two terms.
a)
b)
-9, -7,-5,
The rule is
4, -10, -16,
The rule is
Question 1-1
The table shows values of y relative to values of x in a proportional relationship. What is the constant of proportionality for this relationship?
X Y
6 24
8 32
10 40
12 48
Answer:
y = 4x
Step-by-step explanation:
To find the constant of proportionality, we need to calculate the ratio of y to x for any two corresponding values in the table.
Let's choose the first set of values: x = 6, y = 24.
y/x = 24/6 = 4
So the constant of proportionality is 4.
We can check this for the other sets of values as well:
- for x = 8, y = 32: y/x = 32/8 = 4
- for x = 10, y = 40: y/x = 40/10 = 4
- for x = 12, y = 48: y/x = 48/12 = 4
In each case, the ratio of y to x is equal to 4, so the constant of proportionality is indeed 4. Therefore, the relationship between x and y is:
y = 4x
Answer:10 40
Step-by-step explanation:
use the pythagorean formula to find X the triangle has 20 and 16 and X what is x
Answer: 12
Step-by-step explanation:
Using Phytagorean theorem
[tex]r^{2} = \sqrt{} y^{2} +x^{2}[/tex]
given: r=20 and y=16
[tex]20^{2} =\sqrt16^{2} +x^{2} \\400=\sqrt{256+ x^{2} \\[/tex]
move x to the other side (when x is moving to the other side the sign change)
x²= √400-256 subtract
x= √144 take the square root
x= 12
the length of a rectangle is 3 feet less than 4 times the width. if the perimeter is 84 feet, find the length and the width of the rectangle.
length: 33, width: 9
write it out as 4x-3(2) + 2x. simplify that and you gey 84= 10x-6. add the 6 over and you get x=9, this is your width. know you just do 4(9) - 3 to find length, which equals 33
As a daffodil grows, it increases in height by 3 inches every 2 days. If the daffodil plant starts at 1 inch on day one, what will the height be on day 2?
Answer: If the daffodil start at 1 inch on day one, and only 1 day has passed, it will grow half of what it would in 2 days because half of 2 is 1. So the current height 1 inch + how much it will grow in one day (1.5 inches) = the final height (2.5 inches) Hope this helps :D
Step-by-step explanation:
In Rodger's state, unemployment compensation is calculated by finding the total of the quarterly wages of two consecutive quarters and dividing by 26. The weekly
unemployment is 65% of that amount. In the quarter including January, February, and March, Rodger made a total of $13,950.80. In the quarter including April, May, and
June, he made a total of $14,250.10. Find Rodger's weekly unemployment amount.
Rodger's weekly unemployment amount will be $ 705.0225
Given that the total of the quarterly wages of two consecutive quarters and divided by 26.
The weekly unemployment is 65% of that amount.
Rodger made a total of $13,950.80.
Then he made a total of $14,250.10
Step 1: the total of the quarterly wages of two consecutive quarters.
= $ 13,950.80 + $ 14,250.10
= $28,200.90
Now Divide the total by 26
= $28,200.90 / 26
= 1,084.65
Then, = 1,084.65 x 65%
= 1,084.65 x 65/100
= 705.0225
Hence, Rodger's weekly unemployment amount is; $ 705.0225
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Mallick Corp. reported the following information for 2013 and 2014.Accounts receivable, December 31, 2013 $ 67,000Accounts receivable, December 31, 2014 63,000Sales (all on credit) -- 2014 745,000How much cash was collected from customers during 2014?A. $741,000B. $745,000C. $749,000D. $753,000
The cash collection from customers which adds the change in accounts receivable to the sales for the year 2014 is $749,000. Option C is the correct answer.
To determine the cash collected from customers during 2014, we need to find out the change in accounts receivable from the beginning to the end of the year.
The change in accounts receivable is calculated as follows:
Change in accounts receivable = Accounts receivable, December 31, 2014 - Accounts receivable, December 31, 2013
= $63,000 - $67,000
= -$4,000
The negative sign indicates a decrease in accounts receivable, meaning that cash was collected from customers.
Now, to find the cash collected from customers, we need to add the change in accounts receivable to the sales for the year:
Cash collected from customers = Sales - Change in accounts receivable
= $745,000 - (-$4,000)
= $749,000
Therefore, the answer is C. $749,000.
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The question is -
Mallick Corp. reported the following information for 2013 and 2014.
Accounts receivable, December 31, 2013, $ 67,000
Accounts receivable, December 31, 2014, 63,000
Sales (all on credit) -- 2014 745,000
How much cash was collected from customers in 2014?
A. $741,000
B. $745,000
C. $749,000
D. $753,000
The table shows the grading scale for Ms. Gray's social studies class.
A 90%–100%
B 80%–89%
C 70%–79%
Part A: Pick a number between 21 and 29. This number will represent how many points you earned. If you have a pop quiz worth a total of 30 points, using the number you selected, calculate the percentage you earned on the test. Show each step of your work. (8 points)
Part B: Based on the percentage found in Part A, would you earn a grade of A, B, or C using the grading scale provided? Explain your answer
Part A: Let's assume that the number you picked between 21 and 29 is 25. If the pop quiz is a total of 30 points, then your score would be 25 out of 30. To find the percentage earned, we use the following formula:
percentage = (score/total possible points) x 100%
In this case, our score is 25 and the total possible points are 30, so
percentage = (25/30) x 100%
percentage = 0.8333 x 100%
percentage = 83.33%
Therefore, if you earned 25 points out of 30 on the pop quiz, your percentage would be 83.33%.
Part B: Based on the percentage calculated in Part A, we can determine the corresponding letter grade using the grading scale provided. Since our percentage is 83.33%, it falls between the range of 80% to 89%. According to the grading scale, this corresponds to a letter grade of B.
Therefore, if you earned a score of 25 out of 30 on the pop quiz, your percentage would be 83.33% and your corresponding letter grade would be B.
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3 / 1/4 using multiplication
Answer:
12
Step-by-step explanation:
to divide by a fraction use the acronym K.C.F or keep change flip to re-arrange the problem.
[tex]\frac{3}{\frac{1}{4} }[/tex] can be re-written as
[tex]\frac{3}{1} *\frac{4}{1}[/tex]
or 3*4 which equals 12
To obtain certification for a certain occupation, candidates take a proficiency exam. The exam consists of two sections, and neither section should be more difficult than the other. To investigate whether one section of the exam was more difficult than the other, a random sample of 50 candidates was selected. The candidates took the exam and their scores on each section were recorded. The table shows the summary statistics
The test statistic for the appropriate test to determine if there is a significant mean difference between the percent correct on the two sections for all candidates similar to the one in the investigation is given by t = 75 - 65 / [8 / √(50)], option (A) is correct.
The appropriate test to determine if there is a significant mean difference between the percent correct on the two sections is a two-sample t-test assuming equal variances.
The test statistic for this hypothesis test can be calculated using the formula:
t = x' / ([tex]s{p}[/tex] × √n')
where x' is the sample means for the first and second sections, respectively, [tex]s{p}[/tex] is the pooled standard deviation, and n' is the sample sizes for the first and second sections.
Using the information given in the question, we can calculate the values needed for the test statistic:
x₁ = 75, x₂ = 65, s₁ = 10, s₂ = 5, n' = 50
x’ = x₁ - x₂ = 75 - 65 = 10
The pooled standard deviation is given by [tex]s_{p}[/tex] = 8
We can calculate the test statistic:
t = (x') / [[tex]s_{p}[/tex] / √(n)]
t = 75 - 65 / [8 / √(50)]
Further simplifying:
t = 10 / [8 / √(50)]
t = 8.8356
Hence, option (A) is correct.
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– The question is incomplete, The complete question is:
To obtain certification for a certain occupation, candidates take a proficiency exam. The exam consists of two sections, and neither section should be more difficult than the other. To investigate whether one section of the exam was more difficult than the other, a random sample of 50 candidates was selected. The candidates took the exam and their scores on each section were recorded.
The summary of the statistics are as follows:
-For the first section, Mean Percent Correct is 75 and Standard Deviation Percent Correct is 10
-For the second section, Mean Percent Correct is 65 and Standard Deviation Percent Correct is 5
-The difference is, Mean Percent Correct is 10, and the pooled Standard Deviation Percent Correct is 8
Which of the following is the test statistic for the appropriate test to determine if there is a significant mean difference between the percent correct on the two sections (first minus second) for all candidates similar to the one in the investigation?
A) t = 75 - 65 / (8 / √(50))
B) t = 75 - 65 / [√(10² / 50 + 5² / 50)]
C) x² =(75 - 70)² / 70 + (65-70)² / 70
D) x² = (75-70)² / 65 + (65-70)² / 65