The only plausible value of correlation r based on the following scatterplot is +0.9 (positive correlation, strong relationship).
The value of the correlation coefficient (r) can be determined from a scatter plot. r is a value between -1 and 1 that indicates the strength and direction of the linear relationship between two variables.
A scatter plot that shows a strong positive relationship between two variables will have a correlation coefficient close to +1.
A scatter plot with a strong negative relationship between two variables will have a correlation coefficient close to -1.
If there is no correlation between two variables, the correlation coefficient will be close to zero.
In the given scatter plot, we can see that there is a positive relationship between the two variables. As the value of the first variable increases, so does the value of the second variable.
Therefore, the only plausible value of correlation r based on the following scatterplot is +0.9 (positive correlation, strong relationship).
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Henry paid $32 to rent a table saw for a
two-day period. The maximum length of
time a customer can rent the saw is 10 days
Which equation can be used to find c, the
cost of renting the table saw for the
maximum number of days?
The equation to find C = no. of max day × rent of one day
The cost of renting table saw for max day = 160$
How to find rent for max days :
Henry paid 32$ for two days ,
so for 1 day = 32/2 = 16$
$16 is rent of table for one day.
The maximum length of time a customer can rent the saw is 10 days.
so, need to find rent for 10 days,
Cost of renting the table saw for 10 day = 10 × 16$
= 160$
How to calculate percentage :
To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100Percentages have no dimension. Hence it is called a dimensionless number. If we say, 50% of a number, then it means 50 per cent of its whole.Percentages can also be represented in decimal or fraction form, such as 0.6%, 0.25%, etc.The formula used to calculate percentage is: (value/total value)×100%.To find 15% of 100, rewrite the 15% as 0.15. Then just multiply 0.15 x 100, to get the solution of 15.To learn more about Calculating rent refer :
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what is the main difference between the dot product and the cross product? how does orthogonality relate to both results?
The dot product is a scalar quantity that represents the projection of one vector onto another, and can be used to calculate the angle between two vectors.
The cross product is a vector quantity that represents the magnitude and direction of the orthogonal projection of one vector onto another. Orthogonality is related to both results in that the dot product of two orthogonal vectors is zero, while the cross product of two parallel vectors is also zero. In addition to that, the cross product of two non-zero vectors results in a third vector that is orthogonal to both.
The dot product is a scalar product that calculates the projection of one vector onto another. The cross product is a vector product that calculates the orthogonal component of one vector with respect to another.
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HELP HELP I GIVE BRANLISEST
Area of triangle:-
1/2(6)(12)6(6)=36cm²Area of rectangle (Including semicircle)
12(21)252cm²Area of semicircle
πr²/2π(6)²/218πcm²56.52cm²TOTAL area:-
36+252-56.52288-56.52231.48cm²Answer:
231.48 cm²
Step-by-step explanation:
Formulae
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Area of a semicircle = 1/2 πr²
To find the shaded area:
Find the area of the rectangle. Subtract the area of the semicircle from the rectangle. Add this to the area of the triangle.
Area of the rectangle:
= 12 x 21
= 252 cm²
Area of the semicircle:
= 1/2 π(12 ÷ 2)²
= 1/2 · 3.14 · 6²
= 1/2 · 3.14 · 36
= 56.52 cm²
Area of the triangle:
= 1/2 x 6 x 12
= 36 cm²
Shaded area:
= area of rectangle - area of semicircle + area of triangle
= 252 - 56.52 + 36
= 194.48 + 36
= 231.48 cm²
A company is offering 401k matching retirement plan for its employees who stay with the company for more than 10 years. The company's CFO finds that the average retirement account holds $490,000, with a standard deviation of $55,000, distributed normally.Use Excel to calculate the amount of money that separates the lowest 20% of the means of retirement accounts from the highest 80% in a sampling of 80 employees.
$484,835 is the amount that separates the lowest 20% of the means of retirement accounts from the highest 80% of the means of retirement accounts.
Given Information:
Mean of retirement accounts = μ = $490,000
Standard deviation of retirement accounts = σ = $55,000
Sample size = n = 80
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
The amount of money that separates the lowest 20% of the means of retirement accounts from the highest 80% is given by
\(P\frac{( \bar x - \alpha )}{\frac{\sigma}{\sqrt{n} } }\)
The z-score corresponding to 0.20 is -0.84
\(\bar x = \alpha + z.\frac{\sigma }{\sqrt{n} } \\\\\bar x = 490,000 - 0.84 .\frac{55,000}{\sqrt{80} } \\\\\bar x = 490,000 - 5165.32\\\\\bar x = 484,834.68\)
Rounding off to the nearest whole number
\(\bar x = $484,835\)
Therefore, $484,835 is the amount that separates the lowest 20% of the means of retirement accounts from the highest 80% of the means of retirement accounts.
How to use z-table?
In the z-table find the probability of 0.20
Note down the value of that row, it would be -0.8.
Note down the value of that column, it would be 0.04.
So the z-score is -0.84
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What is 3x+2y= -14
In slope-intercept form
Explanation please.
Answer:
y = -3/2x - 7
Step-by-step explanation:
Write in slope-intercept form, y = m, x + b. 3x+2y= -14
Please help me on this
Answer:
1/400
Step-by-step explanation:
It is helpful to know that 1 m = 100 cm, so 8 m = 800 cm.
The scale factor is usually written as ...
(model distance) / (world distance)
= (2 cm) / (800 cm) = 2/800 = 1/400
Emily's drawing has a scale factor of 1/400.
suppose all rows of an n x n matrix a are orthogonal to some nonzero vector v. explain why a cannot be invertible
Hence, if all rows of an n x n matrix A are orthogonal to a nonzero vector v, the matrix A cannot be invertible matrix.
If all rows of an n x n matrix A are orthogonal to a nonzero vector v, it means that the dot product of each row of A with vector v is zero.
Let's assume that A is invertible. That means there exists an inverse matrix A^-1 such that A * A^-1 = I, where I is the identity matrix.
Now, let's consider the product of A * v. Since v is nonzero, the dot product of each row of A with v is zero. Therefore, the result of A * v will be a vector of all zeros.
However, if A * A^-1 = I, then we can also express A * v as (A * A^-1) * v = I * v = v.
But we have just shown that A * v is a vector of all zeros, which contradicts the fact that v is nonzero. Therefore, our assumption that A is invertible leads to a contradiction.
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It took Brian 3 hours to drive to a rock concert. On the way home, he was able to increase his average speed by 23 mph and make the return drive in only 2 hours. Find his average speed on the return drive.The equation from part 2 is 3x=2(x+23)Step 3 of 3: Solve the equation found in part 2 for x. Use this information to answer the given word problem.
Answer:
69 mph
Explanation:
The equation that represents this situation is:
\(3x=2(x+23)\)We are required to determine Brian's average speed on the return drive.
To do this, we first find the value of x.
\(\begin{gathered} \text{Open the bracket} \\ 3x=2x+46 \\ \text{Subtract 2x from both sides} \\ 3x-2x=46 \\ x=46\; \text{mph} \end{gathered}\)Using the value of x, we find the average speed on the return drive.
\(x+23=46+23=69\text{mph}\)Therefore, the average speed on the return drive will be 69 mph.
solve the following equations
15+ 10z=105
Step-by-step explanation:
15+10z=105
10z=105-15
10z=90
z=9
Simplify x(x-5)+4(x-3)
If the legs of a right triangle are 20 units and 21 units, what’s the length of the hypotenuse?
Answer:
29 units
Step-by-step explanation:
\(20^{2}\) + \(21^{2}\) =\(c^{2}\)
400 + 441 = \(c^{2}\)
841 = \(c^{2}\)
\(\sqrt{841} =\sqrt{c^2}\)
29 = c
What is meant by a system of linear equations?
Nancy’s grandma needs 5/8 of a yard of lace for each doll hat she makes. How many doll hats can she make with 10 yards of lace?
Answer:
16
Step-by-step explanation:
5/8= 0.625
10/0.625= 16
"please answer both questions
1) Think of a situation (other than the examples already given in the class) where you would want to maximize or minimize an objective function. What data would you need to collect? Give a short explain
To collect the necessary data, you would need to gather information such as:
Demand data: Collect historical sales data to analyze patterns, seasonality, and trends in customer demand. This data helps in estimating future demand and forecasting sales.
Lead time data: Determine the time it takes for the inventory to be replenished once an order is placed. This includes gathering data on supplier lead times, shipping durations, and any potential delays.
Holding cost data: Calculate the cost of holding inventory over a specific period, considering expenses like warehousing, storage, insurance, and depreciation. This data helps in evaluating the financial impact of inventory holding.
Ordering cost data: Identify the costs associated with placing orders, such as administrative expenses, transportation costs, and any applicable fees. This information is necessary for assessing the expenses incurred when restocking inventory.
Stockout cost data: Quantify the potential costs of stockouts, including lost sales, customer dissatisfaction, and penalties for failing to meet service level agreements. Understanding the impact of stockouts assists in determining the trade-off between holding excess inventory and the risk of stockouts.
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To collect the necessary data, you would need to gather information such as:
Demand data:
Collect historical sales data to analyze patterns, seasonality, and trends in customer demand. This data helps in estimating future demand and forecasting sales.
Lead time data:
Determine the time it takes for the inventory to be replenished once an order is placed. This includes gathering data on supplier lead times, shipping durations, and any potential delays.
Holding cost data:
Calculate the cost of holding inventory over a specific period, considering expenses like warehousing, storage, insurance, and depreciation. This data helps in evaluating the financial impact of inventory holding.
Ordering cost data:
Identify the costs associated with placing orders, such as administrative expenses, transportation costs, and any applicable fees. This information is necessary for assessing the expenses incurred when restocking inventory.
Stockout cost data:
Quantify the potential costs of stockouts, including lost sales, customer dissatisfaction, and penalties for failing to meet service level agreements.
Understanding the impact of stockouts assists in determining the trade-off between holding excess inventory and the risk of stockouts.
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What would be the cost for 5 of the gift cards?
Answer:
$100
Step-by-step explanation:
It appears that each gift card costs $20, so 5 of them would be $20 * 5 gift cards = $100
Answer:
$100
Step-by-step explanation:
From the graph we see that each card costs $20.
Which angles are corresponding angles? Se
lect all that apply
The angles that are corresponding angles:
∠1 and ∠3
∠5 and ∠7
∠6 and ∠8
We know that when a transversal intersects parallel lines or non-parallel lines then the angles formed at the same relative position at each intersection are nothing but the corresponding angles.
If a transversal intersects parallel lines, then the corresponding angles formed have equal measure.
Wheras if a transversal intersects non-parallel lines, then the corresponding angles formed doesn’t have any relation with each other.
In the following figure we can observe that line p and line q are non-parallel lines and are intersected by transversal r.
From definition of corresponding angles, the pair of corresponding angles:
∠1 and ∠3
∠5 and ∠7
∠6 and ∠8
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Find the complete question below.
The image of the point (4,-2) under a rotation 180 degrees about the origin is:
Answer:
(-4, 2) is the answer.
Step-by-step explanation:
Given the point (4,-2).
To find:
Image of point under a rotation of \(180^\circ\) about the origin.
Solution:
First of all, let us learn about the quadrant system.
There are four quadrants in the xy-coordinate system.
Each quadrant is at \(90^\circ\) with each other that means, if we rotate any point by \(90^\circ\), one quadrant gets changed.
If we rotate by another \(90^\circ\), one more quadrant will get changed.
OR
we can say that if the rotation is performed by \(180^\circ\) about the original, the point will go to its diagonally opposite quadrant.
1. A point in 1st quadrant, rotated by \(180^\circ\), about origin will go to 3rd quadrant.
2. A point in 2nd quadrant, rotated by \(180^\circ\), about origin will go to 4th quadrant.
3. A point in 3rd quadrant, rotated by \(180^\circ\), about origin will go to 1st quadrant.
4. A point in 4th quadrant, rotated by \(180^\circ\), about origin will go to 1st quadrant.
Here, the given point is in 4th quadrant. so it will go to 2nd quadrant.
And hence, both the signs will change.
x coordinate will be -4 and
y coordinate will be 2.
Please refer to the image attached as well.
The angle of rotation is \(180^\circ\).
Resultant point will be (-4, 2).
Give the ''''quotient'''' in simplest form:
Please help me with this!!!
The Probability of an odd number = 0.5.
What is Probability?
One of the areas of probability theory is the estimation of the chance of experiments occurring. Using probability, we can calculate everything from the possibility of getting heads or tails when flipping a coin to the likelihood of making a research error, for example. The formula for computing probabilities in equiprobable sample spaces, the probability of the complementary event, etc., as well as the likelihood of two occurrences coming together, are essential to understand in order to properly appreciate this field of mathematics.
In the given question, we have:
The odd numbers on the given spin are 1,3,5,7 and 9;
So, The number of odd numbers is 6;
That is, n(odd) = 6;
and,
Total number of Spin = 12;
So, The probability of an odd number = \(\frac{odd number}{total number}\)
The probability of an odd number = \(\frac{6}{12}\)
Hence, The Probability of an odd number = 0.5.
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2D and ZE are complementary. If m2D = 5x + 3and mZE = 3x - 1, what is x?
hello
the question presented before me seem incomplete due to lack of diagram to give a detailed expression
if 2D and ZE are complimentary, then the sum of both angles must be equal to 90 degrees
\(\begin{gathered} <2D\text{ = 5x }+\text{ 3} \\ solve the expression by finding x\(\begin{gathered} 3x\text{ }-\text{ 1 }+\text{ 5x }+\text{ 3 }=90^0 \\ 8x\text{ }+\text{ 2 }=\text{ 90} \\ 8x\text{ = 90 }-\text{ 2} \\ 8x\text{ }=\text{ 88} \\ \end{gathered}\)divide both sides of the equation by 8
\(\begin{gathered} \frac{8x}{8}\text{ }=\text{ }\frac{88}{8} \\ x\text{ }=11^0 \end{gathered}\)x = 11
journal articles and research reports are by far the most common secondary sources used in education.
Journal articles and research reports are widely recognized as the most common types of secondary sources used in education. In the field of education, secondary sources play a crucial role in providing researchers and educators with valuable information and scholarly insights.
Among the various types of secondary sources, journal articles and research reports hold a prominent position. These sources are often peer-reviewed and published in reputable academic journals or research institutions. They provide detailed accounts of research studies, experiments, analyses, and findings conducted by experts in the field. Journal articles and research reports serve as reliable references for educators and researchers, offering up-to-date information and contributing to the advancement of knowledge in the education domain. Their prevalence and credibility make them highly valued and frequently consulted secondary sources in educational settings.
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What does it mean to integrate a function in calculus?.
Answer:
See below
Step-by-step explanation:
Integrating a function basically means you are taking the inverse of finding a derivative of the function. Integration is used to find the area under a curve or multiple curves, or even volume.
For instance, \(\int\limits^ {}2x \, dx=x^2+C\) because the derivative of \(x^2\) is \(2x\).
Can someone please help me I’ll give brilliant thingy
Answer:
Yes, the shapes are similar. Note, the angles are equivalent and the sides are scales of each other satisfying the requirements for similarly.
Step-by-step explanation:
For a shape to be similar there are two conditions that must be met. (1) Must have equivalent angles (2) Sides must be related by a scalar.
In the two triangles presented, the first condition is met since each triangle has three angles, 90-53-37.
To test if the sides are scalar, each side must be related to a corresponding side of the other triangle with the same scalar.
9/6 = 3/2
12/8 = 3/2
15/10 = 3/2
Alternatively:
6/9 = 2/3
8/12 = 2/3
10/15 = 2/3
Since the relationship of the sides is the scalar 3/2 (Alternatively 2/3), then we can say the triangles meet the second condition.
Given that both conditions are satisfied, then we can say these triangles are similar.
Note, this is a "special case" right triangle commonly referred to as a 3-4-5 right triangle.
Cheers.
5. The goal of solving a one, two, or multi-step equations is to:
A. Find the value of the variable
B. Find the constant
C. Find the coefficient
D. Move the terms
Answer:
option A
to find the value of variable
hope it helps
A square room has a side that measures 13.5 feet. What is the area of the
largest piece of carpet that could fit in the room?
-2 + (-3) + 5 please help me with this question and also step by step
Answer:
0
Step-by-step explanation:
just calculate the simole way
Answer
Zero
Step-by-step explanation:
The negative sign in "-3" cancels out the addition sign making -2 -3 + 5.
In order of operations, you solve it left to right. So -2 -3 = -5
Then -5 + 5 = 0 or 5 - 5 = 0
Or an airplane cruises 1 kilometer in 1 12 of a minute. what is its cruising speed? simplify your answer and write it as a proper fraction, mixed number, or whole number.
The airplane that cruises 1 kilometer in 1/12 of a minute has a speed of 12 km/min
The formula and procedure we will use to solve this problem is:
v = x/t
Where:
x = distancet = timev = velocityInformation about the problem:
x =1 kmt = 1/12 minv =?Applying the velocity formula, we get:
v = 1 km/ (1/12 min)
v = (1 km * 12) / 1 min
v = 12 km/ 1 min
v = 12 km/min
What is velocity?It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).
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the drawing below shows an above ground swimming pool in the shape of a cylinder with a radius of r feet and a height of 1/3 feet. of the water level is x feet from the top of the pool, which expression best represents the volume of water in this pool in cubic feet?
The expression that best represents the volume of water in this pool in cubic feet is V = πr^2(1/3 - x), where V represents the volume in cubic feet, r represents the radius in feet, x represents the distance in feet from the top of the pool to the water level, and π is the mathematical constant pi.
Based on the information provided, we can determine the volume of the water in the above-ground swimming pool.
First, we know that the pool is in the shape of a cylinder with a radius of r feet and a height of 1/3 feet. To find the volume of the cylinder, we use the formula:
Volume = π * r^2 * h
In this case, h is the actual height of the water, which is (1/3 - x) feet, as the water level is x feet from the top of the pool.
Now, we can plug in the values into the formula:
Volume = π * r^2 * (1/3 - x)
This expression represents the volume of water in the swimming pool in cubic feet.
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Professor Macor has conditioned her cat Prince to come running when she crinkles his bag of kitty treats. In terms of classical conditioning, crinkling the bag of treats serves as the:
In terms of classical conditioning, crinkling the bag of kitty treats serves as the conditioned stimulus. Classical conditioning involves the association of a neutral stimulus (conditioned stimulus) with a naturally occurring stimulus (unconditioned stimulus) to elicit a response.
Classical conditioning is a type of learning in which a neutral stimulus becomes associated with a naturally occurring stimulus to elicit a response. In this scenario, crinkling the bag of kitty treats is the neutral stimulus that becomes associated with the naturally occurring stimulus, which is the pleasure of eating treats for the cat.
The conditioned stimulus is the previously neutral stimulus that, through repeated pairing with the unconditioned stimulus (the naturally occurring stimulus), triggers a response. In this case, the crinkling sound of the bag becomes the conditioned stimulus because it is repeatedly paired with the unconditioned stimulus (the pleasure of eating treats), leading to the cat's response of coming running when it hears the bag being crinkled.
Over time, the cat learns to associate the sound of the crinkling bag with the reward of receiving treats, and the conditioned response of coming running is elicited by the conditioned stimulus alone, even without the presence of the unconditioned stimulus (the actual treats). This demonstrates the process of classical conditioning.
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I need help with this math problem
Answer:
B
Step-by-step explanation:
yea
Answer:
option B
Step-by-step explanation:
now that was real easy