The median of that data set is 9.
Sort the numbers from least to greatest and find the middle number (that should be your median)
If there are 2 numbers in the middle of the set, then you take the average and that would be your median.
choose the solution to the equation
answer
-2+or-√33 all over 4 or -2-√33 all over 4
Step-by-step explanation:
-1/2+ or - √33÷4
-2+or-√33 all over 4
-2+√33 all over 4 or -2-√33 all over 4
Answer:
A
Step-by-step explanation:
The perimeter of a rectangle is given by the formula P=2w+2l,where w is the width and l is the length.Rearrange the formula for the length ( ).
Answer:
l = (p - 2w)/2
Step-by-step explanation:
please help!
identifying corrolation and causation!
a) There is no correlation.
b) There is a correlation between commute time and city population.
c) The most likely conclusion from the information provided is that there is no correlation.
(a) The yoga instructor can conclude that there is no correlation between the amount of sleep and the number of calories burned during class. Based on the data collected, there is no observable relationship between these two variables.
(b) From the given information, we can conclude that there is a correlation between commute time and city population. As the city population increases, there is a longer commute time for drivers. However, this correlation does not imply causation. It is possible that other factors contribute to the longer commute time, and further studies would be required to establish a causal relationship.
(c) The most likely conclusion from the information provided is that there is no correlation between the start time and the amount of coffee consumed by employees. The data does not suggest any observable relationship between these two variables.
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There are approximately 12 inches in 1 foot. If Johnny is 5 feet and 4 how tall is he in inches?
Answer: It's 64
Step-by-step explanation:
12x5=60
60+4=64
Answer:
64 inches
Step-by-step explanation:
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
25 = 10 + w
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Plz mark as brainliest!!!
Maria needs to wrap the box shown below with no overlap of the wrapping paper. How much wrapping paper does she need
Using total surface area of cuboid, To wrap a box without overlap, Maria will need 72 square inches or wrapping paper. Hence, the response is 72 in 2.
What is the formula for square inches?To calculate the area of your rectangular square area in square inches, simply multiply your values for length and width. Let's use the dimensions 4 inches in length and 3 inches in width for a rectangle as an example.
The box does have a rectangular base that measures 8 by 2 inches and is 2 inches tall.
Maria must individually cover every face of a box in order to wrap it without overlapping. The top and bottom of the box have two faces that are 8 inches by 2 inches each, and the other four faces are all 8 inches x 2 inches (the sides). Hence, the box's overall surface area is 2(8 x 2) + 4(8 x 2) - 16 + 64 = 80 square inches.
The total surface area of a cuboid is given by the formula:
2(lw + lh + wh)
where l is the length, w is the width (also called breadth), and h is the height of the cuboid.
Substituting the values given in the problem, we get:
2(8 in. x 2 in. + 8 in. x 2 in. + 2 in. x 2 in.)
= 2(16 in² + 16 in² + 4 in²)
= 2(36 in²)
= 72 in²
Therefore, the total surface area of the cuboid is 72 square inches.
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The correct question is
Maria needs to wrap the box shown below with no overlap of the wrapping paper. How much wrapping paper does she need?
8 in.
2 in.
(1 point)
032 in.2
O 40 in 2
072 in 2
064 in.2
Set both given equations equal to zero, then combine them into one standard form equation. Simplify if possible.
7x + 3 = 5 and y - 1 = 6
Equation 1 -
Equation 2 -
Combined Equation -
Answers:
a. 7x - 2 = 0
b. 7x - y = 1
c. 7x + 8 = 0
d. y - 7 = 0
e. 7x - y = -5
f. y + 7 = 0
The standard equation is 7x + y = 9
layoff Ax + By = C is the usual form for two-variable direct equations. A standard form direct equation is, for case, 2x + 3y = 5. When an equation is given in this format, chancing both intercepts is rather simple( x and y). When trying to break systems involving two direct equations, this form is also relatively helpful.
Given
7x + 3 = 5 and y - 1 = 6
Add the bottoms from the two given equations to produce a single standard-form equation.
By shifting the constant fromR.H.S. toL.H.S., the equations are reset to zero.
7x + 3 - 5 = 0
7x - 2 = 0----( 1)
y - 1 = 6
y - 1 - 6 = 0
y - 7 = 0-----( 2)
Equation 1 and equation 2 must be combined.
7x - 2 + y - 7 = 0
7x + y - 9 = 0
layoff Ax + By = C is the equation's conventional form.
A, B, and C are integers and x and y are variables in this type of equation.
Accordingly, the common equation is
7x + y - 9 = 0
7x + y = 9
therefore the standard equation is 7x + y = 9
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This worksheet is a review of circles and lines, and will give you some practice with algebra and with graphing. Also, this worksheet introduces the idea of "tangent lines" to circles. Later on in Math 124, you'll learn how to find tangent lines to many other types of curves. Two circles, called C1 and C2, are graphed below. The center of C_1 is at the origin, and the center of C_2 is the point in the first quadrant where the line y = x intersects C1. Suppose C1 has radius 2. C2 touches the x and y axes each in one point. What are the equations of the two circles?
The equations of the two circles are (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4 and (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.
The equation of a circle with centre (a,b) and radius r is given by (x-a)^2 + (y-b)^2 = r^2.
C1 has centre (0,0) and radius 2, so its equation is (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4.
C2 touches the x and y axes each in one point, so it must have a centre on the line y=x and a radius equal to the distance from the centre to either of those points of tangency. Since the centre of C2 is on the line y=x and it is in the first quadrant, the coordinates of the centre are (1,1). The distance from the centre to the point of tangency on the x-axis is 1, so the radius is 1. The equation of C2 is (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.
Therefore, The equations of the two circles are (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4 and (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.
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put any question u want bc i cant think of one :( and plspls hurry i need this done today this is math.
Initial Question:
What I Know:
Point of Confusion:
Steps:
Answer:
Initial Question: How to find percent of a number?
What I know: Percents can be written as decimals.
Points of confusions: What do I do next after turning the percent into a decimal?
Steps: *Example* What is 60% of 30:
60% = .60
.60 x 30 = 18
Step-by-step explanation:
Hope this helps.
A fruit plantation has two types of fruit trees: apple trees and orange trees. 3
5
of the fruit trees are orange trees. There are 4515 orange trees on the plantation. The apple trees bear apples of two different colours. There are 342 more trees bearing red apples than trees bearing green apples. How many trees with green apples are there?
If there are 342 more trees bearing red apples than trees bearing green apples, then the number of trees with green apples are 1336.
The 3/5 of fruit trees are orange trees, then 2/5 of the fruit trees are apple trees.
Let the total number of fruit trees be = x. Then we can write two equations based on the given information that, there are 4515 orange trees and there are 342 more red apple trees than green apple trees,
The equations are :
⇒ 3/5 x = 4515 ...equation(1)
⇒ x - 4515 = (G + 342) + G ...equation(2)
Where G is the number of trees bearing green apples.
From equation(1), we can solve for x:
x = (4515)/(3/5) = 7525
Substituting this value of "x" into equation(2),
We get,
⇒ 7525 - 4515 = (G + 342) + G
⇒ 3010 = 2G + 342
⇒ 2668 = 2G
⇒ G = 1334.
Therefore, there are 1336 trees with green apples.
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The given question is incomplete, the complete question is
A fruit plantation has two types of fruit trees: apple trees and orange trees. 3/5 of the fruit trees are orange trees. There are 4515 orange trees on the plantation. The apple trees bear apples of two different colors. There are 342 more trees bearing red apples than trees bearing green apples.
How many trees with green apples are there?
Solving quadratic equations by completing the square.
This method of completing the square can be used to solve any quadratic equation, even if the coefficients a, b, and c are not whole numbers.
Completing the square is a method used to solve quadratic equations in the form of ax^2 + bx + c = 0, where a, b, and c are constants. To use this method, follow these steps:
1. Move the constant term (c) to the other side of the equation, so that you have ax^2 + bx = -c.
2. Divide both sides of the equation by the coefficient of the x^2 term (a), so that you have x^2 + (b/a)x = -c/a.
3. Take half of the coefficient of the x term (b/a), square it, and add it to both sides of the equation, so that you have x^2 + (b/a)x + (b/2a)^2 = (b/2a)^2 - c/a.
4. Simplify the left side of the equation by factoring it as (x + b/2a)^2.
5. Take the square root of both sides of the equation, remembering to include both the positive and negative square roots.
6. Solve for x by subtracting b/2a from each side of the equation.
This method of completing the square can be used to solve any quadratic equation, even if the coefficients a, b, and c are not whole numbers. It is a useful tool to have in your mathematical toolbox, as it can simplify complicated equations and help you find the solutions you need.
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Causes of variation that can be identified and eliminated are called what?
The causes of variation that can be identified and eliminated are called; Assignable Causes.
What are the causes of Variation?There are two primary causes of variation in the quality of a product or process. These two primary causes are called;
Common causes.Assignable causes.Now, Common causes of variation are defined as random causes that we cannot identify. However, Assignable causes of variation are those that can be identified and eliminated.
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The U.S. Navy submarine Trieste II reached a record altitude of -10.9 kilometers on January 23, 1960. A Russian MIG-25 jet reached a record altitude of 36.3 kilometers on July 25, 1973. What is the difference in these two altitudes? *
Answer:
Heheee
Step-by-step explanation:
hehehe
In the figure, the octagon is formed by two overlapping squares. The overlapping region is also a square. The larger square has a length of 6cm. The smaller square has one corner at the center of the larger square and the smaller square has a length of 4cm. How many centimeters is the permeter of the octagon?
So the perimeter of the octagon is approximately 45.25 centimeters (rounded to two decimal places).
What is perimeter ?In geometry, a shape's perimeter is sometimes referred to as its total length. By adding up the lengths of all of an object's sides and borders, one can determine the circumference of something such as a form. The perimeter of a form can be calculated by adding up all of the edges' lengths. For instance, a rectangular with dimensions of 24 yards long as well as 15 yards wide will have a 78 yard perimeter.
Here,
To find the perimeter of the octagon, we need to determine the length of each side of the octagon.
First, let's find the length of the diagonal of the smaller square. We can use the Pythagorean theorem:
d²=4² + 4²=
d² = 16+16 =32
d = √32
=> d = 4√2
This diagonal of the smaller square is also the side length of the overlapping square.
Next, let's find the length of one of the sides of the larger square that overlaps with the smaller square. Since the length of the larger square is 6cm, the side length of the overlapping region (part of the larger square that overlaps with the smaller square) is:
6 - 4√2
Finally, the length of one of the sides of the octagon is the sum of the side lengths of the two squares that overlap, minus the side length of the overlapping square (since this side is counted twice):
=> 6 + 6 - 4√2 - 4√2 - (6 - 4√2)
Therefore, the perimeter of the octagon is:
=>8 (12 - 6√2) = 96 - 48√2
So the perimeter of the octagon is approximately 45.25 centimeters (rounded to two decimal places).
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Any help? In desperate need of it thanks!
On solving the provided question, we can say that the minor angle in the following question is 3x = 270
What is a minor arc?A minor arc is the narrower arc that connects two circle endpoints. The measure of a minor arc is less than 180° and corresponds to the angle at its centre. A major arc is the longer arc that joins two points on a circle.
A tiny arc is one that has a length of less than 180 degrees. An arc that is more than 180 degrees in length is considered substantial. An arc having a measure of 180 degrees is referred to as a semicircle since it divides the circle in half. Any arc having a central angle of 180 degrees or less is considered to be tiny.
In a circle, major arc is 3 times the minor arc i.e,
Let angle AOB = x
reflex AOB = 3x
angle at O = 360
x+3x = 360
x = 90
so, 3x = 270
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The complete question is -
In a circle, the major arc is 3 times the minor arc. The corresponding Centre angles and the degree measures of two arcs are
Dr.Osborne has scheduled Anita Blanchette for a spirometry test and wants you to telephone her the day before the test to prepare her so that optimal results are obtained.
1.) What information do you give Anita before her spirometry so that the best test results can be obtained?
2.) How would you explain the rationale for the performance of this procedure?
To ensure the best test results, Anita should be provided with the following information before her spirometry:
1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.
2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.
3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.
4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.
The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.
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What is the formula to find the IQR or at least how do you calculate it from a boxplot?
Answer:
The IQR is the difference between quartile 3 and 1
Step-by-step explanation:
Answer:
IQR = Q3 - Q1
How to factor 3x^2-10x-8?
\(answer \\(x - 4)(3x + 2) \\ solution \\ {3x}^{2} - 10x - 8 \\ = {3x}^{2} - (12 - 2)x - 8 \\ = {3x}^{2} - 12x + 2x - 8 \\ = 3x(x - 4) + 2(x - 4) \\ = (x - 4)(3x + 2) \\ hope \: it \: helps\)
Answer:
Step-by-step explanation:
Anyone else have a bully and your bully makes fun of you because your adopted?
I do but I tell them "Well, my parents chose me. Your parents are stuck with you"
What should I do? Should I continue roasting them or should I just go with the fact that I'm adopted?
Answer:
TBH IF YOU WANT TO ROAST I GOT NO IDEA BUT THIS IS THE THING I DO
Step-by-step explanation:
Well to be honest I think you should just treat him the same say the same things you would normallily say when you didnt know he waS
Answer:
Go back to roasting them be the cool one
Step-by-step explanation:
Inscribed angles exit card
Answer:
∠ A = 42°
Step-by-step explanation:
The inscribed angle A is half the measure of its intercepted arc BC , so
∠ A = 0.5 × 84° = 42°
A cylinder has a height of 20 ft and a volume of 64,339 ft³.
What is the radius of the cylinder?
Round your answer to the nearest whole number.
676 ft
338 ft
32 ft
26 ft
Answer:
64,339 = π(r^2)(20)
r^2 = 1,023.987
r = 32 ft
Which expression is equivalent to 32 + 12?
O4(8 + 3)
O 8(4 + 3)
O 4(8+12)
O 3(11+4)
Answer:
4(8+3)
Step-by-step explanation:
Because if you break 4(8+3) down by using the FOIL method, it would be 4(8)+4(3) which is equal to 32+12.
Which is a correct solution for the following system of Inequalities
HELPP DUE IN 30MIN
Answer:
I think the answer is A
1,2
A beverage company wants to manufacture a new juice with a mixed flavor, using only orange and pineapple flavors. Orange flavor contains 5% of vitamin A and 2% of vitamir C. Pineapple flavor contains 8% of vitamin C. The company's quality policies indicate that at least 20 L of orange flavor should be added to the new juice and vitamin C content should not be greater than 5%. The cost per liter of orange flavor is $1000 and pineapple flavor is $400. Determine the optimal amount of each flavor that should be used to satisfy a minimum demand of 100 L of juice. A) A linear programming model is needed for the company to solve this problem (Minimize production cost of the new juice) B) Use a graphic solution for this problem C) What would happen if the company decides that the juice should have a vitamin C content of not greater than 7% ?
A beverage company has decided to manufacture a new juice with mixed flavors, which is prepared from orange and pineapple. The vitamin contents are 5% of vitamin A and 2% of vitamin C in the orange flavor, while pineapple flavor contains 8% of vitamin C.
The company's policies are to add at least 20 L of orange flavor to the new juice and limit the vitamin C content to no more than 5%. The cost of orange flavor is $1000 per liter, while the cost of pineapple flavor is $400 per liter.To satisfy a minimum demand of 100 L of juice, we must determine the optimal amount of each flavor to use.A) A linear programming model is needed for the company to solve this problem (Minimize production cost of the new juice)B) Use a graphic solution for this problem.The objective function of the optimization problem can be given as:min C = 1000x + 400yThe constraints that the company has are,20x + 0y ≥ 100x + y ≤ 5x ≥ 0 and y ≥ 0The feasible region can be identified by graphing the inequality constraints on a graph paper. Using a graphical method, we can find the feasible region, and by finding the intersection points, we can determine the optimal solution.The graph is shown below; The optimal solution is achieved by 20L of orange flavor and 80L of pineapple flavor, as indicated by the intersection point of the lines. The optimal cost of producing 100 L of juice would be; C = 1000(20) + 400(80) = $36,000.C) If the company decides that the juice should have a vitamin C content of no more than 7%, it would alter the problem's constraints. The new constraint would be:x + y ≤ 7Dividing the equation by 100, we obtain;x/100 + y/100 ≤ 0.07The objective function and the additional constraint are combined to create a new linear programming model, which is solved graphically as follows: The feasible region changes as a result of the addition of the new constraint, and the optimal solution is now achieved by 20L of orange flavor and 60L of pineapple flavor. The optimal cost of producing 100 L of juice is $28,000.
In conclusion, the optimal amount of each flavor that should be used to satisfy a minimum demand of 100 L of juice is 20L of orange flavor and 80L of pineapple flavor with a cost of $36,000. If the company decides that the juice should have a vitamin C content of no more than 7%, the optimal amount of each flavor is 20L of orange flavor and 60L of pineapple flavor, with a cost of $28,000.
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the purpose of an entity-relationship diagram is to
The purpose of an entity-relationship (ER) diagram is to visually represent the structure and relationships between entities in a database system.
An entity-relationship diagram is a visual representation that uses various symbols and connectors to depict entities, attributes, and the relationships between them. It is commonly used in database design to model and understand the organization and interactions of data within a system.
Here are the key purposes of an ER diagram:
Entity Representation: An ER diagram helps identify and define entities, which are objects or concepts with distinct characteristics. Entities are represented as rectangles in the diagram, and their attributes are depicted within the rectangles.
Relationship Representation: The diagram illustrates the relationships between entities, showcasing how they are connected or associated. Relationships can be one-to-one, one-to-many, or many-to-many, and they are depicted using different connectors and cardinality indicators.
Data Modeling: ER diagrams provide a blueprint for designing databases by visually representing the structure and organization of data. They help database designers determine the appropriate tables, attributes, and relationships needed to store and retrieve information efficiently.
Communication and Documentation: ER diagrams serve as a communication tool between stakeholders, such as developers, designers, and clients. They provide a clear and concise visual representation of the database structure, making it easier for everyone involved to understand and discuss the system requirements.
The primary purpose of an entity-relationship diagram is to visually represent the entities, attributes, and relationships within a database system. It aids in data modeling, communication, and documentation, facilitating effective database design and promoting a common understanding among stakeholders involved in the development process.
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Someone please help. And explain steps. Tysmmm
9514 1404 393
Answer:
x = 14.4
Step-by-step explanation:
The product of segment lengths for each chord is the same.
8·36 = x·20
x = 8·36/20 . . . . divide by 20
x = 14.4
_____
Additional comment
There are a couple of relationships involving lengths of chords and secants. I consider each to be a specific case of the general rule that the product of segment lengths from the point of intersection to its two circle intercepts is the same for each chord/secant/tangent.
When the point of intersection is inside the circle, as here, the two lengths are those that extend either side of the point of intersection. When the point of intersection is outside the circle, then the segments of interest are the short one that intersects the circle at a near point, and the longer one that intersects the far side of the circle.
Yet another special case of the intersection point being outside is the case where the two intercepts are identical—the "secant" is a tangent. In that case, the tangent length is squared (multiplied by itself).
Personally, I find the general rule easier to remember than all of the special cases.
Multiple Choice What is the sum of five-sixths + start fraction 2 over 3 end fraction? A. one and one-third B. One and one half C. 1 and two-thirds D. The fraction states 1 and 3 fourths.
Answer:
B
Step-by-step explanation:
\(\frac{5}{6} +\frac{2}{3} \\\\=\frac{5}{6}+\frac{2*2}{2*3} \\\\=\frac{5}{6}+\frac{4}{6} \\\\=\frac{5+4}{6} \\\\=\frac{9}{6} \\\\=\frac{3*3}{3*2} \\\\=\frac{3}{2}\)
\(=\frac{2+1}{2} \\\\=\frac{2}{2}+\frac{1}{2} \\\\=1+\frac{1}{2}\)
B.One and one half
system of inequalities
y<-5x+2
y>-x-2
Answer:
answer to the question
graph
Find AB.
B
8
610
A
C
Write your answer as an integer or as a decimal rounded to the nearest tenth.
AB =
Answer:
AB ≈ 7.0
Step-by-step explanation:
Using the sine ratio in the right triangle
sin61° = \(\frac{opposite}{hypotenuse}\) = \(\frac{AB}{BC}\) = \(\frac{AB}{8}\) ( multiply both sides by 8 )
8 × sin61° = AB , then
AB ≈ 7.0 ( to the nearest tenth )
A recipe for cookies calls for 2/3 of a cup of sugar. Elena used 5 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make?
Answer:
8 batches
Step-by-step explanation:
A recipe for cookies calls for 2/3 of a cup of sugar. Elena used 5 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make?
From the above question, 1 recipe = 1 batch of cookies
Hence:
2/3 cup of sugar = 1 batch of cookies
5 1/3 cups of sugar = x batches of cookies
Cross Multiply
2/3 cup × x batches = 5 1/3 cup × 1 batch
x batches = 5 1/3 cup × 1 batch/2/3 cup
x batches = 16/3 ÷ 2/3
x batches = 16/3 × 3/2
= 8 batches
Therefore she made 8 batches