The percentage of total variation in the dependent variable that is described by the independent variable is expressed by coefficient of determination . So, correct answer is option (a).
The coefficient of determination R² is equal to the square of the correlation coefficient, r² expressed as a percentage, represents the percentage of variation in the dependent variable y that can be explained by variation in the independent variable x using the regression line. Coefficient of determination is a statistical measure that examines how differences in one variable can be explained by differences in her second variable. In other words, this coefficient, commonly known as R-squared (or R²), measures how strong the linear relationship between two variables is. This coefficient is commonly known as the R-square (or R²) and is sometimes called the "goodness of fit". This measurement is expressed as a value between 0.0 and 1.0..
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Nine friends just graduated from college with business degrees and are ready to start their own businesses. The presentations below describe each persons business
Answer: ugh
Step-by-step explanation: I need help with this too
Please look at the pic and help!!
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
Solve by using the steps found in this section. Write your answer in exact, simplified form. y varies inversely as z. If y is 26 when z is 44 , find y when z is 220 .
The value of y when z is 220 is 5.2. This answer is in simplified form, as 5.2 is already in its simplest fractional form.
If two variables vary inversely, it means that their product is always constant. In this case, we are given that y varies inversely as z, and that y is 26 when z is 44. This means that the product of y and z is 26 * 44 = 1144. We are asked to find the value of y when z is 220. To do this, we can use the fact that the product of y and z is constant. Since the product of y and z when z is 44 is 1144, the product of y and z when z is 220 must also be equal to 1144. Setting up the equation y * 220 = 1144 and solving for y, we find that y = 5.2. This means that the value of y when z is 220 is 5.2.
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Explain why the probability of rolling a sum from 2 to 12 is 100%. [C:2]
The probability of rolling a sum from 2 to 12 on 2 dices is 100%
Given the data,
The two dice should be rolled.
Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).
The resultant 36 results are as follows:
1-1, 1-2, 1-3, 1-4, 1-5, 1-6
2-1, 2-2, 2-3, 2-4, 2-5, 2-6
3-1, 3-2, 3-3, 3-4, 3-5, 3-6
4-1, 4-2, 4-3, 4-4, 4-5, 4-6
5-1, 5-2, 5-3, 5-4, 5-5, 5-6
6-1, 6-2, 6-3, 6-4, 6-5, 6-6
When using two dice, there are a total of 36 possibilities that might occur.
As a result, the results' total ranges from 2 to 12.
Hence , the probability is 100 %
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(3) The grocery store is having a sale on frozen vegetables. 5 bags are
being sold for $12.95. At this rate, what is the cost of 9 bags? *
Answer:
$23.31
Step-by-step explanation:
$12.95/5
=$2.59/per bag
$2.59*9
=$23.31
I need help does anyone know the slope intercept for this one?
Answer:
(0,2)
Step-by-step explanation:
The slope-intercept (aka y-intercept) is where the line crosses the y-axis. And the slope-intercept is at (0,2)
Hope this helped!
Have a supercalifragilisticexpialidocious day!
What is the value of y?
Answer:
A
Step-by-step explanation:
Guess
The figure shows three tennis balls in a can with each tennis ball having a diameter of 2.5 inches. What is the total volume of the air space around the three tennis balls?
The total volume of the air space of spherical ball is A = 12.265625 inches³
Given data ,
Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.
The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.
The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.
The formula for the volume of a cylinder is:
V = πr²h
V = ( 3.14 ) ( 1.25 )² ( 7.5 )
V = 36.796875 inches³
where V is the volume, r is the radius, and h is the height.
So, the volume of the one ball is:
V₁ = ( 4/3 )π(1.25)³
V₁ = 8.177083 inches³
The total volume of three balls is = volume of 3 spherical balls
V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches
Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³
A = 12.265625 inches³
Hence , the volume of air space is A = 12.265625 inches³
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What is 200 percent of (0.020(5/4) + 3 ((1/5) – (1/4)))
Answer:
-0.125
Step-by-step explanation:
hopefully this helps
anyone out here play fn or 2k? cause when i get my game bck im trynna run 10-15 only
Answer:
I do but I only play fn not 2k
If given that :-
\( {\quad \leadsto \quad \bf f(\phi) = {\phi}^{2} - \phi - \displaystyle \bf \int_{\bf 0}^{1} f(\phi) d \phi }\)
Then find :-
\( { \quad \leadsto \quad \displaystyle \bf \int_{0}^{2} f(\phi) d \phi }\)
Integrate by parts with
\(u = f(\phi) \implies du = f'(\phi) \, d\phi = (2\phi - 1) \, d\phi\)
\(dv = d\phi \implies v = \phi\)
to evaluate the integral in the definition of \(f\).
\(\displaystyle \int_0^1 f(\phi) \, d\phi = \phi\,f(\phi) \bigg|_0^1 - \int_0^1 \phi(2\phi-1) \, d\phi = f(1) - \frac16\)
Now if \(\phi=1\), we have
\(f(1) = 1^2 - 1 - \left(f(1) - \dfrac16\right) \implies 2f(1) = \dfrac16 \implies f(1) = \dfrac1{12}\)
and so
\(\displaystyle \frac1{12} = 1^2 - 1 - \int_0^1 f(\phi) \, d\phi \implies \int_0^1 f(\phi) \, d\phi = -\frac1{12}\)
It follows that
\(\displaystyle \int_0^2 f(\phi) \, d\phi = \int_0^2 \left(\phi^2 - \phi + \frac1{12}\right) \, d\phi \\\\ ~~~~~~~~~~~~~~~ = \left(\frac{\phi^3}3 - \frac{\phi^2}2 + \frac\phi{12}\right) \bigg|_0^2 \\\\ ~~~~~~~~~~~~~~~ = \frac{2^3}3 - \frac{2^2}2 + \frac2{12} \\\\ ~~~~~~~~~~~~~~~ = \boxed{\frac56}\)
Does anyone know the answer to this problem?
It is a scalene triangle .
What is a scalene triangle?A triangle called a Scalene Triangle in geometry is one with equally spaced-apart sides. It indicates that all three angles and all three sides of a scalene triangle are of different sizes. According to sides, there are three different kinds of triangles.The sides and angles of the triangles are used to define them. A triangle is represented as a three-sided polygon in geometry and is a closed, two-dimensional plane object having three sides and three angles. There are three edges and three vertices.acc to our quesion-
all the sides of triangle are unequal
if all sides are unequal ,it is called scalene triangle.
hence,It is a scalene triangle .
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Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis.
y = 3 − x
The volume of the solid generated by revolving the plane region y=3−x about the y-axis is 9π cubic units.
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have a function:
y = 3 - x
From the graph:
Shell radius = y
Height = 3 - y
From the shell method, we can write the integral as follows:
\(\rm Volume =2\pi\int\limits^0_{-3} {y(3-y)} \, dy\)
\(\rm Volume =2\pi\int\limits^0_{-3} {(3y-y^2)} \, dy\)
After solving the above definite integral, we will get volume:
Volume = 9π cubic units
Thus, the volume of the solid generated by revolving the plane region y=3−x about the y-axis is 9π cubic units.
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What is the P-value?
is b because he has been a great friend of the object of his cow and he is very good about the fact he has been coughing all night long time is a force of the object to do the work and to be a good man and
lucy has 18 puzzles each with 250 pieces how many pieces are there in all (also its for 50 pts)
Answer:
4500
Step-by-step explanation:
250 x 18 = 4500
750$ in 4 days unit rate
I am confused I got 9.7 but I am not sure? Any help out there.
Answer:
Im not sure If your suppose to calculate the whole area but for FGH Its 9
Step-by-step explanation:
Coursera gradient descent is an algorithm for finding values of parameters w and b that minimize the cost function j. True or False
Gradient Descent, a first-order iterative optimization algorithm. That means growing up. It is true.
The learning factor is always a positive number, so if you subtract W from a negative number, you get a new larger (more positive) W value.
The most popular optimization algorithm in machine learning and deep learning is gradient descent. It is a first-order optimization algorithm. This means that only the first derivative is taken into account when updating the parameters.
Gradient Descent (GD) is a first-order iterative optimization algorithm used to find the local minimum/maximum of a given function. This method is commonly used in machine learning (ML) and deep learning (DL) to minimize cost/loss functions (such as linear regression).
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One red circle of an weighs 12 grams.write an inquality to represent the weight of one blue square
Inequality to represent the weight of one blue square:
s < 12
What is inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given,
One red circle of an weighs 12 grams
By the figure,
Weight of blue square is less than red circle
Let weight of blue square be s.
Then,
s < 12
Hence, s < 12 is the inequality to represent weight of blue square.
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Solve each system by elimination
-9x -4y=2
7x +4y = -6
Answer:
cộng vế theo vế ta đc :
-2x=-4<=>x=2
thay x=2 vào 1 trong 2 ptrình ta đc: y=-5
The height of a regular quadrilateral prism is h = 13 cm, and its lateral area
is AL = 624 cm². Find the following.
1. The surface area of the prism;
2. The volume of the prism.
The surface area of the prism is 744 cm², the volume of the prism is 624 cm³.
Given:
- Height of the regular quadrilateral prism (h) = 13 cm
- Lateral area of the prism (AL) = 624 cm²
1. Surface Area:
To find the surface area, we need to calculate the area of the two bases and the lateral area of the prism.
The area of each base can be found by dividing the lateral area by the height: A = AL / h = 624 cm² / 13 cm = 48 cm².
Since there are two identical bases, the total base area is 2 times the area of one base, so the total base area is 2 * 48 cm² = 96 cm².
To calculate the surface area, we add the area of the two bases to the lateral area: Surface Area = 2A + AL = 2 * 48 cm² + 624 cm² = 120 cm² + 624 cm² = 744 cm².
Therefore, the surface area of the prism is 744 cm².
2. Volume:
The volume of the prism can be found by multiplying the base area by the height: Volume = A * h = 48 cm² * 13 cm = 624 cm³.
Therefore, the volume of the prism is 624 cm³.
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PLEASE HELP ME FAST!!!!!
Below are the data collected from two random samples of 500 American adults on the number of hours they work per day (rounded to the nearest hour):
Number of hours of work per day 6 7 8 9 10
Sample A: Number of adults 60 90 145 150 55
Sample B: Number of adults 70 80 140 145 65
Ryan concludes that adults spend a mean of 8 hours working each day. Malia thinks the mean is 9 hours. Who is correct—Ryan or Malia? Explain your answer in two or three sentences. Make sure to use facts to support your answer. (10 points)
The average number of hours that adults spend working each day is 8 hours and Ryan is correct because he got the average of 8 right.
We know that,
The sample mean is a statistic that is computed by taking the arithmetic mean of the values of a variable in a sample. If the sample is taken from probability distributions with a shared expected value, the sample mean is an estimator of that value.
The mean is gotten from the formula;
x' = ∑x/n
Number of hours of work per day are; 6, 7, 8, 9 and 10
Thus; sum up all of it
∑x = 6 + 7 + 8 + 9 + 10
∑x = 40
Mean is; x' = 40/5
x' = 8
Since Ryan concluded that the average is 8 hours,
Therefore,
We can say that Ryan is correct.
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Bob and Tom each have a bag of 100 chocolate candies. Bob has 53 left and Tom has
Part A
Color in each picture to show how many pieces of candy each boy has left
Bob
Tom
Part 3
Use decimals and symbols to show which boy has more candies left
В І цах, х
2020 luminate Education in
Answer:
He has 47
Step-by-step explanation:
if one guy has 50 it wold make sense to give the other 50 but since he has 53 then he must have 47
How can I factor the following expression by grouping:
a) 4x^3 - 2x^2 + 8x - 4
The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping
How to factor the expression by groupingFrom the question, we have the following parameters that can be used in our computation:
4x³ - 2x² + 8x - 4
Group the expression in 2's
So, we have
(4x³ - 2x²) + (8x - 4)
Factorize each group
2x²(2x - 1) + 4(2x - 1)
So, we have
(2x² + 4)(2x - 1)
Hence, the factored expression is (2x² + 4)(2x - 1)
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Kilgore's Deli is a small delicatessen located near a major university. Kilgore does a large walk-in carry-out lunch business. The deli offers three luncheon chili specials, Wimpy, Dial 911, Fire Bowl. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes).
The profit on one serving of Wimpy is $0.6, on one serving of Dial 911 is $0.55, and on one serving of Fire Bowl is $0.65.
The following table shows the required ingredients to make one serving of each chili special, and the available amount of each ingredient for today :
Ingredient Required ingredient for each serving of Wimpy Required ingredient for each serving of Dial 911 Required ingredient for each serving of Fire Bowl Available Amount
Beef (lbs) 1 1 1.5 15
Onions (cup) 2 2 2 20
Special Sauce (oz) 5 2 3 90
Hot Sauce (oz) 0 5 6 60
Based on the historical sales data, Kilgore's Deli has the following considerations:
the number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.
the number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.
the available number of servings for Dial 911 must be at least 2.
(1.1) Develop the linear programming model to help determine the number of servings of Wimpy, Dial 911, and Fire Bowl to make in order to maximize his profit today. Type your algebraic formulation in the specified area in Q1 tab of the Excel template. Note you will not get full credits without including the algebraic formulation.
(1.2) Solve your LP model in Excel and fill in the following blanks (show your work in Q1 tab):
The optimal number of servings of Wimpy is
The optimal number of servings of Dial 911 is
The optimal number of servings of Fire Bowl is
The maximum possible profit is
Is there any leftover of ingredients as a result of this optimal solution? if yes, enter the amount. Otherwise, just type 0.
Amount of beef leftover
Amount of onion leftover
Amount of special sauce leftover
Amount of hot sauce leftover
Answer:
z (max) = 6.15
x₁ = 1 x₂ = 3 x₃ = 6
Amount of beef leftover 2 lb
Amount of onions leftover 0
Amount of Special Sauce leftover 61
Amount of Hot Sauce leftover 9
Step-by-step explanation:
Ingredients Beef Onions Special S Hot S Profit
Wimpy (x₁) 1 2 5 0 0.6
Dial 911 (x₂) 1 2 2 5 0.55
Fire Bowl (x₃) 1.5 2 3 6 0.65
Available 15 20 90 60
Objective Function z:
z = 0.6*x₁ + 0.55*x₂ + 0.65*x₃ to maximize
Subject to:
1) Quantity of beef : 15
x₁ + x₂ + 1.5*x₃ ≤ 15
2) Quantity of onions: 20
2*x₁ + 2*x₂ + 2*x₃ ≤ 20
3) Quantity of Special sauce: 90
5*x₁ + 2*x₂ + 3*x₃ ≤ 90
4) Quantity of hot sauce: 60
0*x₁ + 5*x₂ + 6*x₃ ≤ 60
5) Condition: The number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.
x₃ ≥ 0.1 ( x₁ + x₂ + x₃ ) or x₃ ≥ 0.1*x₁ + 0.1 *x₂ + 0.1*x₃
x₃ - 0.1*x₁ - 0.1 *x₂ - 0.1*x₃ ≥ 0
- 0.1*x₁ - 0.1 *x₂ + 0.9 *x₃ ≥ 0
6)Condition: The number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.
x₃ - x₂ ≤ 3
7)the available number of servings for Dial 911 must be at least 2.
x₂ ≥ 2
General constraints:
x₁ ≥ 0 x₃ ≥ 0 all integers
With on-line solver solution is:
z (max) = 6.15
x₁ = 1 x₂ = 3 x₃ = 6
By sbstitution on the constraints
1) x₁ + x₂ + 1.5*x₃ ≤ 15 1 + 3 + 9 = 13
Amount of beef leftover 2 lb
2) 2*x₁ + 2*x₂ + 2*x₃ ≤ 20 2 + 6 + 12 = 20
Amount of onions leftover 0
3) 5*x₁ + 2*x₂ + 3*x₃ ≤ 90 5 + 6 + 18 = 29
Amount of Special Sauce leftover 61
4)0*x₁ + 5*x₂ + 6*x₃ ≤ 60 15 + 36 = 51
Amount of Hot Sauce leftover 9
What is an Expression?
Answer:
Hello, an expression are numbers, symbols, and operators grouped to show the value of something. For example, 4+5 and 45/5-2 are expressions.
Step-by-step explanation:
I hope this helped you!
How many people will get candy?
Answer:
22 people
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
11/4
Applying the fractions formula for division,
11x8
4x1
Simplifying 88/4, the answer is
22The legs of a right triangle each measure 44 inches. Find the length of the hypotenuse.
Answer:
Length of hypotenuse = 44√2 in²
Step-by-step explanation:
Given:
Length of legs = 44 in
So,
Perpendicular = 44 in
Base = 44 in
Find:
Length of hypotenuse
Computation:
Hypotenuse = √Perpendicular² + Base²
Length of hypotenuse = √44² + 44²
Length of hypotenuse = 44√2 in²
A movie theater sells popcorn in a reusable bucket for $3.50. They offer refills for $2.50 each.
Write an equation in slope-intercept form to model the cost in dollars, y, for x refills.
The equation in slope-intercept form to model the cost in dollars, y, for x refills is 3.50 = 2.50x + b.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given that movie theater sells popcorn in a reusable bucket for $3.50. They offer refills for $2.50 each.
The value of y is popcorn cost = $3.50
The slope will be $2.50
Therefore, the equation is y = mx + b
Plug the values; y = 3.50 and m = 2.50
3.50= 2.50x + b
Hence, the equation in slope-intercept form to model the cost in dollars, y, for x refills is 3.50= 2.50x + b.
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Mike is about 1.6 meters tall. A rock is about 2.3 x 10-² meters tall.
About how many times shorter is the rock compared to Mike?
A.1,400
B.700
C.140
D.70
Answer:
The answer to the equation should be C