The sample correlation coefficient of 0.81 indicates a strong positive correlation between the number of rooms and the cost per night, which appears reasonable given the results of the scatter diagram.
a. The mean number of rooms is 1,346.5. To calculate this, we added up the number of rooms for each hotel and divided by 12, the total number of hotels in the sample.
b. The mean cost per night for a double room is $380. To calculate this, we added up the cost per night for each hotel and divided by 12, the total number of hotels in the sample.
c. The scatter diagram shows a positive correlation between the number of rooms and the cost per night. As the number of rooms increases, so does the cost per night. This makes sense because larger hotels tend to be more expensive than smaller ones.
d. The sample correlation coefficient is 0.81, which indicates a strong positive correlation between the number of rooms and the cost per night. This appears reasonable given the results of the scatter diagram.
The mean number of rooms in the sample of 12 top rated hotels in the US is 1,346.5, and the mean cost per night for a double room is $380. The sample correlation coefficient of 0.81 indicates a strong positive correlation between the number of rooms and the cost per night, which appears reasonable given the results of the scatter diagram.
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Calculate the absolute standard deviation and the coefficient of variation for the results of the following calculations. Round each result to include only significant figures. The numbers in parentheses are absolute standard deviations. *(a)y=log[2.00(±0.03)×10−4](b)y=log[4.42(±0.01)×1037]*(c)y=antilog[1.200(±0.003)](d)y=antilog[49.54(±0.04)]
To multiply 64 × 8.32 use the logarithm equation 2)㏒64 + ㏒8.32 and y=log[2.00(±0.03)×10−4] and hence option a is correct
To answer the question, we need to know what logarithm of a number is
What is the logarithm of a number?
The logarithm of a number x is the power to base 10 of that number.
So, logarithm of x to base 10 is written as ㏒x.
Since we want to multiply 64 × 83.2, we convert this to logarithmic equation using the addition rule of logarithm.
Addition rule of logarithm
㏒ab = ㏒a + ㏒b
So, 64 × 8.32 to logarithm is ㏒(64 × 8.32) = ㏒64 + ㏒8.32
So, to multiply 64 × 8.32 use the logarithm equation 2)㏒64 + ㏒8.32
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Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 12 10 17 39
Female 2 19 3 24
Total 14 29 20 63
If one student was chosen at random,
find the probability that the student got a B.
Following example 1, to find the area of an isosceles triangle with height 4 cm and width 8 cm, we could use horizontal slices:
a slice at height ℎ has width =
so that we may find the area by integratingDu(answer) ????ℎdh, with
a=
????=
The area of the triangle is 32 [tex]cm^2.[/tex]We can use horizontal slices to find the area of any two-dimensional shape.
We can use horizontal slices to find the area of the isosceles triangle with height 4 cm and width 8 cm. We set a slice at height h and determine the width of the slice, which is 8 cm. We then integrate the area of the slice (width x height) with respect to h, from 0 to 4 cm. This gives us the area of the triangle, which is 32[tex]cm^2[/tex].
We can use horizontal slices to find the area of any two-dimensional shape. We set a slice at a given height h, and determine the width of the slice. We then integrate the area of the slice (width x height) with respect to h, from the lower boundary of the shape to the upper boundary. This gives us the area of the shape. For example, to determine the area of an isosceles triangle with height 4 cm and width 8 cm, we would set a slice at height h and determine the width of the slice, which is 8 cm. We then integrate the area of the slice (width x height) with respect to h, from 0 to 4 cm. This gives us the area of the triangle, which is 32 [tex]cm^2.[/tex]
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math. please. help. me. quickly.
Answer:
no clue
Step-by-step explanation i cant help you with this and i just tying to get points
Which statement is true?
Answer: 1/3=4/12 is true
Step-by-step explanation:
the others are false because 6/12 is smaller than 2/3, 8/12 is greater than 2/3 and 1/3 is equal to 4/12 not less than.
A 15-meter by 23-meter garden is divided into two sections. Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section.
A rectangle is shown. The length of the top and bottom sides is 23 meters. The length of the left and right sides is 15 meters. A vertical line is drawn from the top to bottom side to split the shape into a square and a rectangle. Lines are drawn from the bottom left point to the top of the vertical line and from the bottom right point to the top of the vertical line.
What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines?
21.2 m
27.5 m
32.5 m
38.2 m
Answer:
Option D) 38.2
Solution
1) The square section
The side length of the square is 15m.
You can use Pythagoras's theorem to find the length of the diagonal:
Diagonal ^2 = (15m)^2 + (15m^2) = 450 m^2
=> Diagonal = √(450m^2) = 21.21m
2) The small rectangle section
The sides of this rectangle are 23 - 15 = 8 m and 15 m
Now use the Pythagoras's theorem:
diagonal^2 = (8m)^2 + (15m)^2 = 289 m^2 =>
diagonal = √(289m^2) = 17 m
3) Then the sum of the lengths of the diagonals of the two sections is 17m + 21.21 m = 38.21
Answer: 38.21 m
Englarge the shape below by scale factor 2 using O as the centre of enlargement
An image of the resulting geometric shape based on a scale factor of 2 using O as the center of enlargement is shown below.
What is dilation?In Geometry, dilation is a type of transformation which typically changes the size of a geometric shape, but not its shape. This ultimately implies that, the size of the geometric shape would be increased (enlarged) or decreased (reduced) based on the scale factor applied.
In Mathematics, the following rules are applied to interpret and understand the dilation of a geometric shape:
A geometric shape is enlarged when the scale factor is greater than 1.A geometric shape remains the same when the scale factor is equal to 1.A geometric shape is reduced when the scale factor is less than 1.In this context, we can logically deduce that the size of this geometric shape would be doubled because the scale factor is greater than 1.
s) a real number is repeatedly selected uniformly over the interval [0, 1] until the sum of all numbers chosen exceeds 1. what is the expected value of the count of numbers that are select
Since the sum of the numbers selected must exceed 1, we know that n must be at least 1. Therefore, the expected value of X is finite and is equal to 2.
The expected value of the count of numbers that are selected can be found using the geometric distribution, since it models the number of trials until a success occurs.
Let X be the number of numbers that are selected until the sum of all numbers exceeds 1. Then X has a geometric distribution with parameter p, where p is the probability of success on each trial, i.e. the probability that the sum of all numbers selected does not exceed 1.
Since the numbers are selected uniformly over [0, 1], the probability of success on each trial is given by the area under the curve between 0 and 1 after the first number is selected.
On the first trial, the probability of success is 1. On the second trial, the probability of success is the area under the curve between 0 and (1 - the first number selected).
On the third trial, the probability of success is the area under the curve between 0 and (1 - the sum of the first two numbers selected), and so on.
The expected value of X can be found using the formula for the expected value of a geometric distribution:
E(X) = 1/p
Since the expected value of the sum of n independent and identically distributed uniform [0, 1] random variables is n/2, we can use this to find p:
E(X_1 + X_2 + ... + X_n) = n/2
where X_1, X_2, ..., X_n are the n numbers selected.
So, p = 1 / (1 + n/2).
Finally, we can substitute this into the formula for E(X) to find the expected value of X:
E(X) = 1 / (1 - n/2) = 2 / (2 - n)
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You can use the equation A =(HW/3600)^1/2
to approximate a person's body surface area A (in square meters), where H
is height (in centimeters) and W is weight (in kilograms). Approximate the body surface area of a person with a height
of 160 centimeters and a weight of 64 kilograms.
Body surface area:______
m²
The body surface area is given by the equation A = 1.6865 m²
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the body surface area be represented as A
Now , the equation will be
A = ( HW / 3600 )^1/2
A = √( HW / 3600 ) be equation (1)
where H is the height in centimeters and W is the weight in kilograms
Now , the value of H = 160 cm
The value of W = 64 kg
Substituting the values in the equation , we get
A = √ [ ( 160 x 64 ) / 3600 ]
On simplifying the equation , we get
A = √ ( 10240/3600 )
A = √ ( 2.8444 )
A = 1.6865 m²
Therefore , the body surface area is 1.6865 m²
Hence , the equation is A = 1.6865 m²
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FizzBuzz and the Law of De Morgan In this setting, the universal set is the set of natural numbers from 1 to 32 {1, 2, 3, 4, ..., 32} Let T be the subset of numbers that are divisible by 3 and let F be the subset of numbers that are divisible by 5. (a) Write out the elements of each of the following sets: F, T, FC, TC (b) We will do a "proof by example" of De Morgan's Law i. Compute (FUT) ii. Compute FNT iii. Make an observation about the previous two calculations.
On solving the provided question we can say that - s and t be function subsets of a. show that x ∈ f(S) V f(T) ∈ f(y) as f(y) = x => x∈f(S)∨x∈f(T)
What is function?
One kind of rule is a function, which gives an output in exchange for an input. Alex Federspiel is the photo's source. In this instance, y=x2. I receive the output from something I placed in x in y. We may say that y is a function of x since x serves as the input value. A relation between a collection of inputs, each with an output, is referred to as a function. A function is a connection between inputs that each have precisely one output, to put it simply.
let S contains all elements that are the image of an element in f(s)
and let T contains all elements that are the image of an element inf(T)
f(y) ∈ f(s) V f(y)
x ∈ f(S) V f(T) ∈ f(y)
as f(y) = x
x ∈ f(S) ∨ x ∈ f(T)
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How many line segments are determined by joining the dots on the last two circles?
The number of line segments that are determined by joining the dots on the last two circles is 20.
What is a line segment?A line segment is a piece of a line that is connected to two points or has two points on either end. A line segment in geometry is a section of a straight line that is enclosed by two clearly defined end points and contains all of the points on the line that lie inside those endpoints.
The Euclidean distance between two ends of a line segment determines its length. A line segment's length can be calculated using either metric measurements like millimeters or centimeters, or conventional measurements like feet or inches. In this case, the number is 20.
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Drag all of the division problems that have an estimated quotient of 12 into the box.
A division problem that have an estimated quotient of 12 is: C. 47.6 ÷ 3.9.
What is a quotient?In Mathematics, a quotient can be defined as a mathematical expression that is typically used for the representation of the division of a number by another number.
This ultimately implies that, a quotient in terms of numerical data simply refers to a division of a number (numerator) by another number (denominator).
Quotient = 8 ÷ 0.95 = 8.42
Quotient = 18 ÷ 2.2 = 8.18.
Quotient = 47.6 ÷ 3.9 = 12.21 ≈ 12.0.
Quotient = 10.6 ÷ 1.89 = 5.61.
Quotient = 71.9 ÷ 6.5 = 11.06.
Quotient = 123.4 ÷ 9.2 = 13.41.
Quotient = 157.4 ÷ 16.4 = 9.60.
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Game Over Electronics has made $18,500 in profit so far this year. The company expects the
profit during the rest of the year to be 19% of its revenue. You can use a function to estimate
the total profit this year if the revenue from now through the end of the year is x dollars.
Write an equation for the function. If it is linear, write it in the form h(x) = mx + b. If it is
exponential, write it in the form h(x) = a(b)*.
An equation for the profit function is expressed as; h(x) = 0.19x + b
How to solve Function Word Problems?The parameters in the given problem are;
Amount of profit made so far this year = $18500
The revenue from now through the end of the year = $x
Percentage profit for the rest of the year = 19%
Since profit made so far is $18500, then that will be regarded as the y-intercept from the linear equation form;
y = mx + b
Now, 19% profit will be regarded as the slope. Thus, the equation for the function is;
h(x) = 0.19x + b
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For the right triangle below, find the measure of the angle. Round to the hundredths. (2 decimal places
Answer:
please take a picture of the triangle so I can help you.
run the strongly connected components algorithm on the following directed graphs g. when doing dfs on gr: whenever there is a choice of vertices to explore, always pick the one that is alphabetically first.
The strongly connected components of graph g are then determined to be the set of vertices {A, B, C, D, E}. This is because each vertex is reachable from every other vertex in the graph.
Graph g:
A→B
B→C
C→D
D→E
E→A
The strongly connected components algorithm is used to determine the strongly connected components of a directed graph. A strongly connected component is a subgraph of a directed graph in which every vertex is reachable from every other vertex.
The algorithm begins by running a depth-first search (DFS) on the graph. When running DFS on graph g, we start at vertex A and explore all its adjacent vertices before moving to the next vertex. In this case, we explore vertex B first. We then explore vertex C, followed by D and E. Finally, we explore vertex A again before finishing the DFS.
Once the DFS is complete, the algorithm then computes the transpose of the graph. The transpose of a graph is the graph with all the edges reversed. For graph g, this would be A←B, B←C, C←D, D←E, and E←A.
Finally, the algorithm runs a second DFS on the transpose of the graph. Since the edges are reversed, we start at vertex A and explore its adjacent vertices in reverse order. In this case, we explore vertex E first, followed by D, C, B, and finally A.
The strongly connected components of graph g are then determined to be the set of vertices {A, B, C, D, E}. This is because each vertex is reachable from every other vertex in the graph.
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Allie planned to spend up to $120 on a gaming mouse and headset. She spent $49.95 on a mouse. Then, she bought a headset that put her over her budget. Let x represent the cost of the headset. Which inequality describes the problem?
The inequality that describes the problem is,
⇒ x + $49.95 < $120
Where, x represent the cost of the headset.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
Allie planned to spend up to $120 on a gaming mouse and headset. She spent $49.95 on a mouse.
Let x represent the cost of the headset.
Hence, We can formulate;
The inequality that describes the problem is,
⇒ x + $49.95 < $120
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__________: a high school counselor uses a computer to generate 50 random numbers and then picks students whose names correspond to the numbers.
I think what you are looking for is:
Random Selection Method
(4) In 2018, Apple had the largest profit of any company in the United States. They made
$48,351,000,000. One of the largest losses of any company during one year was AOL Time Warner in
2002, which lost $123,160,000,000. Write and evaluate a subtraction expression to find the difference
between Apple's 2019 profits and AOL Time Warner's 2002 losses.
I
I
I
I
1
The value of the equation is A = - $ 74,80,90,00,000
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The profit of Apple in 2018 P = $ 48,351,000,000
The loss of AOL Time Warner in 2002 L = $ 123,160,000,000
So , the difference between between Apple's 2019 profits and AOL Time Warner's 2002 losses is A
A = P - L
Substituting the values in the equation , we get
A = $ 48,351,000,000 - $ 123,160,000,000
On simplifying the equation , we get
A = - $ 74,80,90,00,000
Hence , the equation is A = - $ 74,80,90,00,000
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Incomplete steps in the construction of a circumscribed circle are shown. Drag the correct words to each box to complete the steps Drag and drop an answer choice into each empty box below. sides angles
incenter
vertices
circumcenter
angle bisectors perpendicular bisectors Step 1: Create ___ of the triangles. Step 2: They will intersect at the ___ Step : Draw a circle with the center at the point obtained in step ___ and touching the ___ of the triangle.
Construction of a circumscribed circle mainly includes three steps.
A circumscribed circle is a circle that passes through all the vertices of a polygon. The center of the circumscribed circle is equidistant from all the vertices of the polygon, making it the largest circle that can be drawn around the polygon.
In order to construct a circumscribed circle for a given polygon, we follow a given set of steps.
Step 1: Create perpendicular bisector of the sides of the triangles.
Step 2: They will intersect at the circumcenter.
Step 3: Draw a circle with the center at the point obtained in step 2 and touching the sides of the triangle.
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(Systems of Linear Equations MC)
A customer at a shipping store is planning to send a package and is considering two options. The customer can send a package for $4, plus an additional $2 per pound. The cost, y, can be represented by the equation y = 4 + 2x, where x represents the amount of pounds of the package. Another option is that the customer can pay a one-time fee of $12 to send the box, represented by the equation y = 12.
Based on the graph of the system of equations, when will the cost of the two shipping options be the same?
A package that weighs 4 pounds will cost $12 for both options.
A package that weighs 8 pounds will cost $12 for both options.
A package that weighs 12 pounds will cost $20 for both options.
A package that weighs 12 pounds will cost $28 for both options.
Based on the graph of the system of equations, the cost of the two shipping options would be the same when: A. A package that weighs 4 pounds will cost $12 for both options.
How to determine when the cost of the two shipping options would be the same?Based on the information provided above, the customer sent a package for $4 with an additional $2 per pound. The total cost, y, can be represented by this equation:
y = 4 + 2x ....equation 1.
where:
x represents the amount of pounds of the package.
For the second option, the total cost can be represented by this equation:
y = 12 ....equation 1.
By equating equation 1 and equation 2, we have the following:
12 = 4 + 2x
2x = 12 - 4
2x = 8
x = 4.
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Answer:
A. A package that weighs 4 pounds will cost $12 for both options.
Step-by-step explanation:
Answer the questions
The triangles ∆ABC and ∆BMK are similar triangles, and ∆ABC ≅ ∆BMK. The perimeter of the quadrilateral ACKB is equal to 74 feet.
What are similar trianglesSimilar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.
We have that line AC of the triangle ∆ABC is parallel to line BK of the triangle ∆BMK and also line CB of the triangle ∆ABC is parallel to line KM of the triangle ∆BMK which implies that lines AB and BM are of equal distance. Given that B is the midpoint of AM. We can conclude that triangles ∆ABC and ∆BMK are similar triangles.
Since ∆ABC is an equilateral triangle, then all the sides of the quadrilateral ACKB are equal and its perimeter is calculated as:
18.5 feet × 4 sides of the quadrilateral = 74 feet.
In conclusion, the triangles ∆ABC and ∆BMK are similar triangles, and ∆ABC ≅ ∆BMK. The perimeter of the quadrilateral ACKB is equal to 74 feet.
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the trace of a matrix is the sum of its diagonal elements. a for any two matrices a and b, show that trace (a b) trace a trace b. b for any two matrices a and b for which the products ab and ba are defined, show that trace ab trace ba.
The trace of any two matricess A, B is tr(AB)=tr(A)+tr(B) and tr(AB)=tr(BA).
a) Let A and B be two matrices with dimensions [tex]$n \times n$[/tex]. Then the trace of a matrix is defined as the sum of its diagonal elements, so the trace of A can be written as [tex]$\text{tr}(A) = \sum\limits_{i=1}^n A[i,i]$[/tex] and the trace of B can be written as [tex]$\text{tr}(B) = \sum\limits_{i=1}^n B[i,i]$[/tex].
The product of matrices A and B is a matrix C with dimensions [tex]$n \times n$[/tex], where [tex]$C[i,j] = \sum\limits_{k=1}^n A[i,k] B[k,j]$[/tex].
The trace of the product of matrices A and B can be written as [tex]$\text{tr}(AB) = \sum\limits_{i=1}^n (AB)[i,i] = \sum\limits_{i=1}^n \sum\limits_{k=1}^n A[i,k] B[k,i] = \sum\limits_{k=1}^n A[k,k] B[k,k]$[/tex].
By the distributive property of multiplication, [tex]$\text{tr}(AB) = \sum\limits_{k=1}^n A[k,k] B[k,k] = (\sum\limits_{k=1}^n A[k,k]) + (\sum\limits_{k=1}^n B[k,k]) = \text{tr}(A) + \text{tr}(B)$[/tex].
So, we have shown that [tex]$\text{tr}(AB) = \text{tr}(A) + \text{tr}(B)$[/tex].
b) Let A and B be two matrices for which the products AB and BA are defined. Then the trace of the product AB can be written as [tex]$\text{tr}(AB) = \sum\limits_{i=1}^n (AB)[i,i]$[/tex]
and the trace of the product BA can be written as
[tex]$\text{tr}(BA) = \sum\limits_{i=1}^n (BA)[i,i]$[/tex].
By definition, the elements of the matrices AB and BA are given by [tex]$(AB)[i,j] = \sum\limits_{k=1}^n A[i,k] B[k,j]$[/tex] and [tex]$(BA)[i,j] = \sum\limits_{k=1}^n B[i,k] A[k,j]$[/tex],
respectively. By switching the order of summation, we have [tex]$\text{tr}(AB) = \sum\limits_{i=1}^n \sum\limits_{k=1}^n A[i,k] B[k,i] = \sum\limits_{k=1}^n \sum\limits_{i=1}^n A[i,k] B[k,i] = \text{tr}(BA)$[/tex].
So, we have shown that [tex]$\text{tr}(AB) = \text{tr}(BA)$[/tex].
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glenn wonders what proportion of the students at his school think that tuition is too high. he interviews an srs of 50 of the 2400 students at his college. thirty-eight of those interviewed think tuition is too high.
The parameter p is the population proportion, that is the proportion of the population that thinks the tuition is too high. POPULATION=Students at Glenn's school. (b). The numerical value of that estimates p is [tex]\hat{p}[/tex][tex]=\frac{38}{50} =0.76[/tex]. (c). Yes, the population is more than 10 times as large as the sample size.
(a). He conducts SRS interviews with 50 of his college's 2400 pupils. Of those surveyed, 38 believe that tuition is too costly.
The people under study make up the population.
POPULATION=Students at Glenn's school
The parameter p is the population proportion, that is the proportion of the population that thinks the tuition is too high.
This sample proportion can be used to estimate the true proportion of students in the entire population who think tuition is too high. However, it's important to note that the sample proportion is only an estimate and may not be exactly equal to the true population proportion. The level of precision of this estimate can be quantified using a confidence interval.
(b) The sample proportions is the number of people who think the dorm food is good divided by the sample size:
⇒[tex]\hat{p}=\frac{38}{50} =0.76[/tex]
(c). Yes, the population is larger than the sample size by more than 10 times.
⇒n[tex]\hat{p}[/tex]=38>10
⇒n(1-[tex]\hat{p}[/tex])=12>10 and the sample is a simple random sample.
Therefore, the POPULATION=Students at Glenn's school. The numerical value of that estimates p is [tex]\hat{p}=\frac{38}{50} =0.76[/tex]. Yes, the population is more than 10 times as large as the sample size.
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if a right triangle has sides of length a, b and c, and if c is the largest, then it is called the hypotenuse. the length of the hypotenuse can be calculated with this formula: c
The hypotenuse can be found using the Pythagorean formula, which is c=√a²+b².
What is the hypotenuse?The longest side of a right-angled triangle, or the side opposite the right angle, is known as the hypotenuse in geometry.
The Pythagorean theorem, which asserts that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse.
In this case, if one of the other sides is 3 (when squared, 9) and the other is 4 (when squared, 16), then the sum of their squares is 25.
The square root of 25, or 5, is the length of the hypotenuse.
With the help of the Pythagorean formula, which is c = √a² + b², we can determine the hypotenuse.
Therefore, the hypotenuse can be found using the Pythagorean formula, which is c=√a²+b².
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$g$ is the centroid of equilateral $\triangle abc.$ $d$, $e$, and $f$ are midpoints of the sides as shown. $p$, $q$, and $r$ are the midpoints of $\overline {ag}$, $\overline {bg}$, and $\overline {cg}$, respectively. if $ab
The coordinates of the centroid of the given triangle can be found by using the midpoint formula to calculate the coordinates of points P, Q, and R, and then taking the average of the x-coordinates and y-coordinates of these points.
The centroid of a equilateral triangle can be found by drawing the medians of the triangle. The median of a triangle is a line segment connecting a vertex of the triangle to the midpoint of the opposite side. The three medians of an equilateral triangle intersect at the centroid. In this scenario, the centroid of the given triangle is point G.
The midpoints of the sides of the triangle are points D, E, and F. The midpoints of the medians of the triangle are points P, Q, and R. The coordinates of the points can be found using the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates of the endpoints of the line segment.
The coordinates of the centroid, G, can be found by taking the average of the x-coordinates and y-coordinates of the midpoints of the medians. The x-coordinate of G is the average of the x-coordinates of P,Q, and R, and the y-coordinate of G is the average of the y-coordinates of P,Q, and R.
Finally, the coordinates of the centroid of the given triangle can be found by using the midpoint formula to calculate the coordinates of points P, Q, and R, and then taking the average of the x-coordinates and y-coordinates of these points.
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Complete question:
What is the area of the square with vertices [tex]$d$, $p$, $q$[/tex] ?
the grpah displays the distance Wes;ey was from home s he rain in preparation for his cross - country meet. Describe the change in distance over time
The description of the change in distance over time is;
He ran further away from home, then sped up and went further. He then
slowed down, still going further from home. He then turned
around and headed home.
How to Interpret a Distance Time Graph?A distance-time graph is defined as a graph that shows how far an object has travelled in a given time. It is a simple line graph that denotes distance versus time findings on the graph. Distance is plotted on the y-axis. Time is plotted on the x-axis.
From the attached graph, we see that Wesley ran further away from home, and then he sped up and went further in the journey. He then
slowed down, and still going further from home. Finally, he turned
around and headed home.
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Question2_=) 6th grade math please help (only answer if you know the answer don't guess PELASEE) Marking brainlist!! QUESTION WORTH 60 POINT!!
Which of the following is the distance between the two points shown?
A graph with the x-axis starting at negative 4, with tick marks every one-half unit up to 4. The y-axis starts at negative 4, with tick marks every one-half unit up to 4. A point is plotted at negative 3, 0 and at 0.5, 0.
2.5 units
3.5 units
−3.5 units
−2.5 units
Answer:
see below
Step-by-step explanation:
the direct distance between the 2 points should be √9.25 = 3.04, but there's no such answer, so I guess they are making you count the units. By definition the distance cannot be negative. so it should be 3.5.
However, if this 6th grade math question is testing you on your understanding of the direction of x axis then because a point is plotted at -3 on the axis (cause it's Y value =0), then its distance to (0,0) is -3, and then you go up 0.5 to the next point. With that said, whether you should add the -3+0.5 = -2.5 that'll depend on the teacher or the textbook - not exactly sure what they are trying to test you on. it's a very vague question.
Consider the system of equations. Which is the Best method to use for solving the system? 4x+y=1 2x+y=8
The best solution is to use the elimination method. The best approach to utilize is the elimination technique while trying to solve a problem 4x+y=1 2x+y=8.
What is the process of elimination?First-order kinetics of elimination Elimination of a fixed portion of the drug amount existing in the body per unit of time. The fraction of elimination to drug concentration.
4x + y = 1 --------(1)
2x + y = 8---------(2)
subtract (2) from (1)
2x = -7
divide bothside by 2
2x/2 = -7/2
x= -7/2
we can substitute x = -7/2 in any of the equations.
Lets take equation (1)
4x + y = 1
4(-7/2) + y =1
2(-7) + y = 1
-14 + y = 1
y = 1+14
y =15
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A model airplane is built with a wing span of 18 inches. The actual wing span of the airplane is 90 feet. Find the scale.
The scale of the model airplane is 5 feet : 1 inch
How to determine the scale of the modelThe scale of the model airplane can be found by dividing the actual wing span by the model wing span
So, we have the following representation
Scale = 90 feet/18 inches
Evaluate the quotient
So, we have the following representation
Scale = 5 feet/inches
Express as ratio
Scale = 5 feet : 1 inch
So, the scale of the model airplane is 5 feet : 1 inch
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Suppose the probability that an individual has blue eyes is 0.41. Four people are randomly selected Find the probability P that exactly tYpo have blue eyes Round your answer to four decimal places.
The probability P that exactly has blue eyes is P = 0.1887
The probability of exactly t people having blue eyes can be calculated using the binomial distribution formula. The binomial distribution models the number of successes in a fixed number of independent trials, where each trial has the same probability of success.
In this case, the number of trials is 4, the probability of success is 0.41 (the probability of an individual having blue eyes), and the number of successes is the number of people with blue eyes. Plugging in these values into the binomial distribution formula gives us the probability of exactly t people having blue eyes.
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