Answer:
112
Step-by-step explanation:
2800/25
=112
The number of dogs a family has and the amount of floor cleaner used are known to have a strong positive association. jaylen concluded that the number of dogs causes an increase in floor cleaner usage. is jaylen's conclusion valid? explain.
jaylen's conclusion is valid because association does imply causation.
jaylen's conclusion is not valid because association does not imply causation.
jaylen's conclusion is not valid because causation does not imply association.
jaylen's conclusion is valid because causation does imply association.
Jaylen's conclusion is a valid conclusion because it is logical association does imply causation.
What is conclusion validation?Conclusion validity is the degree to which conclusions we reach about relationships in our data are reasonable.
The number of dogs a family has and the amount of floor cleaner used are known to have a strong positive association.
Jaylen concluded that the number of dogs causes an increase in floor cleaner usage
Regardless of not having all the necessary information needed to prove that the number of dogs is the sole main cause for an increase in cleaner usage she can still conclude this. Since dogs naturally bring in dirt from outside and make messes, and since Jaylene notices that families that are known to have more dogs are buying more floor cleaner then she can logically come to this conclusion.
Hence , Jaylen's conclusion is a valid conclusion because it is logical association does imply causation.
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unding decimals to the nearest whole number, Adam traveled a distance of about
miles.
In a case whereby Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours. The exact distance Adam traveled was miles Adam traveled a distance of about 335 miles.
How can the distance be calculated?The distance traveled in a unit of time is called speed. It refers to a thing's rate of movement. The scalar quantity known as speed is the velocity vector's magnitude. It has no clear direction.
Speed = Distance/ time
speed =72.4 miles
time=4.62 hours
Distance =speed * time
= 72.4 *4.62
Distance = 334.488 miles
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complete question;
Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours. The exact distance Adam traveled was miles. Rounding decimals to the nearest whole number, Adam traveled a distance of about miles.
What does 7 x p = 14? pls help me understand this and pls tell me the answer
Answer:
P=2
Step-by-step explanation:
All you gotta do is simple multiplication, 7 x 2 = 14,
to confirm divide 14 by 7
14/7 = 2
hope this helped c:
The probabilities of a positive response for two government programs from the citizens in eight cities are given in the table.
City
Atlanta
Positive Response Positive Response
for Program 1(%) for Program 2 (96)
77. 80
82. 10
86. 40
86. 60
Boston
Chicago
Dallas
65. 90
87. 50
73. 80
80. 90
69. 70
79. 40
78. 40
88. 10
Houston
Los Angeles
Miami
Newark
82. 50
82. 60
81. 40
83. 30
Total
68. 80
81. 70
The chance that a positive response is obtained from Chicago for program 1 is (blank) %. The chance that a positive response is obtained
from Chicago for program 2 is
(Blank) %.
The number of individuals in Chicago that will respond positively to Program 2 is 22 out of 25.
How to illustrate the information?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
Given that the chances of a positive response from Chicago residents to two government programs are 65.9% for Program 1 and 87.5% for Program 2, the likelihood of a positive response for Program 2 given that the person is from Los Angeles must be calculated as follows:
87.5 100 = X
43.75 / 50 = X
21.875 / 25 = X
Therefore, 22 out of 25 individuals in Chicago will respond positively to Program 2.
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If b + 2a = c and 2a +b = 10, then what is c
Factor each expression that can be factored. For an expression that cannot be factored into a product of two binomials, explain why. x²+2 x+1 .
The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The expression is given below.
⇒ x² + 2x + 1
Factorize the expression, then the factor of the expression will be
⇒ x² + x + x + 1
⇒ x(x + 1)x + 1(x + 1)
⇒ (x + 1)(x + 1)
⇒ (x + 1)²
The product of two binomials will be (x + 1) and (x + 1).
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Find the gradient of the line segment between the points (-8,6) and (4,7).
Give your answer in its simplest form.
Answer:
Step-by-step explanation:
Gradient or slope = (7-6)/(4-(-8))
= 1/12
The gradient of a line is the same as the slope of the line.
The gradient of the line segment between the points (-8,6) and (4,7) is 1/12
The points are given as:
\((x,y) = \{(-8,6),(4,7)\}\)
The gradient (m) of a line segment is:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
So, we have:
\(m = \frac{7-6}{4-(-8)}\)
\(m = \frac{7-6}{4+8}\)
\(m = \frac{1}{12}\)
Hence, the gradient of the line segment is 1/12
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Find the zero places of the quadratic function: y= x^2 + 5x + 6
The required zero places of the given equation y= x² + 5x + 6 is x = -2 and x = -3.
Given that,
An equation y= x² + 5x + 6,
To determine the Zeros of the equation given above.
The equation is the relationship between variables and is represented as y =ax + b is an example of a polynomial equation.
Here, given equation is, y= x² + 5x + 6
Now, let y = 0
x² + 5x + 6 = 0
x² + 2x + 3x + 6 = 0
x(x + 2) + 3 (x + 2) = 0
(x + 2) * (x + 3) = 0
x + 2 = 0 ; x + 3 = 0
x = -2 and x = -3
Thus, the required zero places of the given equation y= x² + 5x + 6 is x = -2 and x = -3.
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Given two points of a line, slope=
change in___
Over
change in___
consider the series . (a) find the series' radius and interval of convergence. (b) for what values of x does the series converge absolutely? (c) for what values of x does the series converge conditionally? question content area bottom part 1 (a) find the interval of convergence.
To find the radius and interval of convergence for a series, use the ratio test. Determine absolute convergence by finding values of x for which the series converges regardless of an's sign, and conditional convergence by considering the sign of an.
To find the radius and interval of convergence for a series, we can use the ratio test. Let's denote the given series as ∑(an * x^n).
(a) To find the series' radius of convergence, we apply the ratio test: lim┬(n→∞)(a_(n+1) * x^(n+1)|/|a_n * x^n).
If the limit is less than 1, the series converges absolutely. If the limit is greater than 1, the series diverges. If the limit is equal to 1, the test is inconclusive.
(b) For absolute convergence, we need to find the values of x for which the series converges regardless of the sign of an. Once we find the interval of convergence, we need to check the endpoints to see if the series converges at those points.
(c) For conditional convergence, we need to find the values of x for which the series converges when the sign of an is considered. In other words, the series converges conditionally if it converges but not absolutely.
Unfortunately, you have not provided the specific series for which you want to find the radius and interval of convergence. Please provide the series, and I will be able to assist you further.
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Given g(x)= x^2-8x+21 Find g(x+4)
Answer:
g(x+4) = X^2 + 5
Step-by-step explanation:
The value of g(x+4 ) is x² +5
What is function?The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. The collection of all the values that the function may input while it is defined is known as the domain. The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain. Let's investigate the universe of mathematical functions.
Given function:
g(x)= x²-8x+21
Now, for x = x+4 we have
g( x+4) = (x+4)²-8(x+4) +21
g( x+4) = x² + 8x + 16 -8x - 32 +21
g( x+4) = x² + 16- 32 +21
g( x+4) = x² +5
Hence, the value of g(x+4) is x² +5
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What is the equation of the line that passes through the point (-4,-4) and has a
slope of 5/4?
The sum of 9 and the
quantity 2 times a
number t.
Answer:
the question says 9 added to (2×t)
2×t
added to 9
9+(2×t)
suppose the correlation between x1 and y is 0.4, the correlation between x2 and x1 is 0.2, and the correlation between x2 and y is -0.75. which regression (using the least squares criterion) will have the smallest r2? i) regress y on x1; ii) regress y on x2; iii) regress y on x1 and x2.
The regression that will have the smallest R2 is regressing y on x1 only.
R2, also known as the coefficient of determination, measures the proportion of the variance in the dependent variable (y) that can be explained by the independent variable(s) (x1 and x2) in a regression model. It ranges from 0 to 1, where a higher value indicates a better fit.
In this case, when regressing y on x1, the correlation coefficient between x1 and y is 0.4. Since R2 is the square of the correlation coefficient, the R2 value for this regression would be 0.4^2 = 0.16.
When regressing y on x2, the correlation coefficient between x2 and y is -0.75. Similarly, the R2 value for this regression would be (-0.75)^2 = 0.5625.
Lastly, when regressing y on both x1 and x2, the correlation between x1 and x2 is 0.2. Since x1 and x2 are correlated, adding x2 to the regression model already containing x1 would increase the explained variance. Therefore, the R2 value for this regression is expected to be higher than the other two.
Comparing the R2 values, we can conclude that regressing y on x1 alone will have the smallest R2 (0.16), indicating a weaker fit compared to regressing y on x2 (0.5625) or regressing y on both x1 and x2.
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The regression that will have the smallest R2 is regressing y on x1 only.
R2, also known as the coefficient of determination, measures the proportion of the variance in the dependent variable (y) that can be explained by the independent variable(s) (x1 and x2) in a regression model. It ranges from 0 to 1, where a higher value indicates a better fit.
In this case, when regressing y on x1, the correlation coefficient between x1 and y is 0.4. Since R2 is the square of the correlation coefficient, the R2 value for this regression would be 0.4^2 = 0.16.
When regressing y on x2, the correlation coefficient between x2 and y is -0.75. Similarly, the R2 value for this regression would be (-0.75)^2 = 0.5625.
Lastly, when regressing y on both x1 and x2, the correlation between x1 and x2 is 0.2. Since x1 and x2 are correlated, adding x2 to the regression model already containing x1 would increase the explained variance. Therefore, the R2 value for this regression is expected to be higher than the other two.
Comparing the R2 values, we can conclude that regressing y on x1 alone will have the smallest R2 (0.16), indicating a weaker fit compared to regressing y on x2 (0.5625) or regressing y on both x1 and x2.
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0.4x + 3 = 0.2(3x+1) - x
Solve for x
Hello!
0.4x + 3 = 0.2(3x + 1) - x
0.4x + 3 = 0.6x + 0.2 - x
0.4x + 3 = -0.4x + 0.2
0.4x + 0.4x = 0,2 - 3
0.8x = -2.8
x = -2.8 : 0.8
x = -7/2
Good luck! :)
A rectangular-shaped fuel tank measures 60 inches in length, 30 inches in width, and 12 inches in depth. How many cubic feet are within the tank?
In rectangular-shaped fuel tank 21,600 cubic feet are within the tank.
It is given that,
a rectangular shaped fuel tank measures 60 inches in length, 30 inches in width, and 12 inches in depth,
i.e. L = 60 inches
W = 30 inches
D = 12 inches
We know the formula to calculate cubic feet is,
Cubic feet = L × W × D
= 60 × 30 × 12
Cubic feet = 21,600.
Therefore in rectangular shaped fuel tank 21,600 cubic feet are within the tank.
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Answer: first of all we have to chance from inches to feet, giving that the question is asking us in cubic feet.
1 foot = 12 inches
60/12 = 5ft
30/12= 2.5 ft
12/12= 1ft
now you apply apply the formula to calculate cubic feet:
width x lenght x height (in this case depth)
5ft x 2.5ft x 1ft = 12.5 ft³
use the elimination method to solve the system of equations. choose the correct ordered pair -x+y=-3 3x+2y=9
Answer:
Step-by-step explanation:
-x + y=-3
3x + 2y=9
=================
Rewrite the first equation to isolate x:
-x + y=-3, or
-x = -y - 3
x = y+3
------
Use the above value of x (y+3) in the second equation:
3x+2y=9
3(y+3)+2y=9
3y + 9 + 2y = 9
5y = 0
y = 0
---
Since y = 0
-x + y=-3
-x + 0 =-3
x = 3
(3,0)
=
One can also graph the two equations and find the point they intersect. Attached graph.
The required ordered pair of the system of the equations is (3, 0).
Given that,
-x + y = -3
3x + 2y = 9
To solve the system of the equation by elimination method and give correct ordered pair.
The equation is the relationship between variables and is represented as an example y =ax +b of a polynomial equation.
\(-x+y=-3\) - - - - - -(1)
\(3x+2y=9\) - - - - - - -(2)
Multiplying equations 1 by 3 then add to equation 2.
\(-3x+3y=-9\\+ 3x+2y=9\\\\\)
\(5y = 0\\ y = 0\)
Now putting the value of y in equation 1
-x + 0 = - 3
x = 3
Thus the required ordered pair of the system of the equations is (3, 0).
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The Excel function, RAND() generates a random number from
In the Sanotronics example, suppose director labor cost is $46,
parts cost is $95 and the 1st year demand is 10,000. What is the
profit value?
The Excel function, RAND() generates a random number from a normal distribution a uniform distribution a discrete distribution Question 2 (1 point) In Excel's IF function, the second argument is condi
1) The Excel function RAND() generates a random number from a uniform distribution.
The Sanotronics example has a director labor cost of $46, parts cost of $95, and 1st year demand of 10,000. The profit value is calculated as follows -
profit = revenue - cost
revenue = demand * price
price = 100 - director labor cost - parts cost
Plugging in the values, we get -
profit = 10,000 * 100 - 46 - 95 = $49,544
Therefore, the profit value is $49,544.
2) The second argument in Excel's IF function isthe value if the condition is true.
The IF function is a logical function that returns onevalue if a condition is true, and another value if the condition is false. The syntax for the IF function is -
IF(condition, value_if_true,value_if_false)
The second argument, value_if_true, isthe value that will be returned if the condition is true. The third argument, value_if_false, is the value that will be returned if the condition is false.
For example,the following IF function will return "Yes" if the value in cell A1 is greater than 10, and "No" if the value in cell A1 is less than or equal to 10 -
=IF(A1>10, "Yes", "No")
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Help mee ! A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the homework grade, to the nearest integer, for a student with a test grade of 32
The linear regression equation that represents the correlation between homework grade (x) and test grade (y) is y = 0.6x + 18.5. Using this equation, the estimated homework grade for a student with a test grade of 32 is 38.
To find the linear regression equation, we need to calculate the slope and the y-intercept using the given data:
1: Calculate the mean of the homework grades (x) and test grades (y) from the table.
Mean of x: (50 + 70 + 80 + 90) / 4 = 72.5
Mean of y: (60 + 85 + 95 + 100) / 4 = 85
2: Calculate the differences between each homework grade (x) and the mean of x, and each test grade (y) and the mean of y.
Difference for x: (50 - 72.5), (70 - 72.5), (80 - 72.5), (90 - 72.5) = -22.5, -2.5, 7.5, 17.5
Difference for y: (60 - 85), (85 - 85), (95 - 85), (100 - 85) = -25, 0, 10, 15
3: Calculate the sum of the product of the differences for x and y, as well as the sum of the squared differences for x.
Sum of (x - mean of x) * (y - mean of y): (-22.5 * -25) + (-2.5 * 0) + (7.5 * 10) + (17.5 * 15) = 162.5
Sum of (x - mean of x)^2: (-22.5)^2 + (-2.5)^2 + (7.5)^2 + (17.5)^2 = 1050
4: Calculate the slope (b) using the formula:
b = Sum of (x - mean of x) * (y - mean of y) / Sum of (x - mean of x)^2
b = 162.5 / 1050 ≈ 0.155
5: Calculate the y-intercept (a) using the formula:
a = mean of y - (b * mean of x)
a = 85 - (0.155 * 72.5) ≈ 85 - 11.24 ≈ 73.76
6: Write the linear regression equation by rounding the coefficients to the nearest tenth:
y = 0.2x + 73.8
7: Substitute the given test grade (y = 32) into the equation to estimate the homework grade (x):
32 = 0.2x + 73.8
0.2x = 32 - 73.8
0.2x = -41.8
x ≈ -209 (rounded to the nearest integer)
Therefore, the estimated homework grade for a student with a test grade of 32 is 38.
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Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express X1, X2, and X3 in terms of the parameter t.) 2x1 + 3x3 = 3 4X1 - 3x2 + 7x3 = 1 8X1 - 9x2 + 15x3 = 17 (X1, X2, X3) = 2.
The system has an infinite number of solutions, and the solution can be expressed as x = t, y = (t + 1)/3, and z = t, where t is a real number.
To solve the given system of equations using Gaussian elimination with back-substitution or Gauss-Jordan elimination, let's write the system in augmented matrix form:
[ 2 0 3 | 3 ]
[ 4 -3 7 | 5 ]
[ 8 -9 15 | 10 ]
We'll perform row operations to reduce the augmented matrix to row-echelon form. The goal is to create zeros below the leading coefficients.
First, we'll perform row operations to eliminate the coefficients below the first row's leading coefficient:
R2 = R2 - 2R1
R3 = R3 - 4R1
The augmented matrix becomes:
[ 2 0 3 | 3 ]
[ 0 -3 1 | -1 ]
[ 0 -9 3 | -2 ]
Next, we eliminate the coefficient below the second row's leading coefficient:
R3 = R3 - 3R2/3
The augmented matrix becomes:
[ 2 0 3 | 3 ]
[ 0 -3 1 | -1 ]
[ 0 0 0 | 0 ]
Now, we have reached row-echelon form. We can perform back-substitution to find the solution or determine if there's no solution or an infinite number of solutions.
From the last row, we can see that 0 = 0. This indicates that we have dependent equations and infinitely many solutions. In terms of parameter t, we can express the solution as:
x = t
y = (t + 1)/3
z = t
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The probable question may be:
Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.)
2x1 + 3x3 = 3
4x1 − 3x2 + 7x3 = 5
8x1 − 9x2 + 15x3 = 10
Select all of the expressions that are equivalent to 5% of 60. 1/20(60), 1/5 times 60, 0.05 times 60, 0.5 times 60, 0.5(60), 5/100 times 60
The expressions that are equivalent to 5% of 60 are 5/100 * 60, 0.05 * 60 and 1/20 * 60
How to determine the expressions that are equivalent to 5% of 60?The expression is given as:
5% of 60
Express as fraction and decimal
5% of 60 = 5/100 * 60
5% of 60 = 0.05 * 60
This gives
5% of 60 = 1/20 * 60
Hence, the expressions that are equivalent to 5% of 60 are 5/100 * 60, 0.05 * 60 and 1/20 * 60
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Tim loves eating fruits. Tim paid $13.68 for peaches, $4.56 for bananas, and $5.44 for cherries. In total, how much money did he spend?
Answer:
$23.68
Step-by-step explanation:
$13.68+ $4.56= $18.24
$18.24+ $5.44= $23.68
Here's your answer!
Write each quotient as a complex number.
(3+2i)/(1+i)²
The quotient (3+2i)/(1+i)² can be simplified to a complex number. The result is (-1-4i). The numerator is divided by the square of the denominator, which involves performing the complex division and simplifying the expression.
To simplify the expression (3+2i)/(1+i)², we start by expanding the denominator. (1+i)² can be written as (1+i)(1+i), which simplifies to 1+2i+i². Since i² is equal to -1, the denominator becomes 1+2i-1, which simplifies to 2i.
Next, we perform complex division by multiplying both the numerator and denominator by the conjugate of the denominator. The conjugate of 2i is -2i. Multiplying (3+2i) and (-2i) gives us -6i-4i², and multiplying 2i and (-2i) gives us -4i².
Since i² is equal to -1, the expression simplifies to -6i-4(-1), which becomes -6i+4. Combining like terms, the final result is -1-6i.
Therefore, the quotient (3+2i)/(1+i)² simplifies to the complex number (-1-6i).
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If you please tell me what this I will give 15 points and of thanks!
Answer:
y = x+8
Step-by-step explanation:
You find the difference between the value of y and value of x which is 8 so no matter what x is you always add 8 to get the y value. :)
Answer:
y = x + 8
Step-by-step explanation:
Find the difference between each x and y-value :
Let's take the pair (18, 26)
y = x + _26 = 18 + __ = 81. In some lion prides, the ratio of female to
male lions is 3: 1. What percent of the lions
are male? (Example 1)
Plssss help
Answer:
25%
Step-by-step explanation:
Based on the given conditions, formulate
Calculate the sum or difference:
Multiply a number to both the numerator and the denominator
: Write as a single fraction:
Calculate the product or quotient:
Rewrite a fraction with denominator equals 100 to a percentage:
Help needed ASAP will give brainliest AND 5 STARS RATE
Answer:
A or the first answer is correct
Step-by-step explanation:
3650 - 2000 = 1650
1650 / (divided by) 150 = 11
you can also check your work by doing 150 *(times) 11 = 1650
1650 + 2000 = 3650
help me with this question please be quick
The only option that represents a positive number is: A) k²
How to find a positive number?A positive number is defined as any number that is greater than zero on the number line while a negative number is defined as any number that is less than zero on the number line.
Now, we see the options as:
A) k²
Now, regardless of whether k is positive or negative, this answer will always be a positive number.
B) k³
This can either be a positive or negative number because if k is negative, then the solution becomes negative.
C) 2k
This can either be a positive or negative number because if k is negative, then the solution becomes negative.
D) k/2
This can either be a positive or negative number because if k is negative, then the solution becomes negative.
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Parallelogram PQRS with vertices P(-3, -4), Q(0, -3), R(-1, -8), and S(-4, -9):
a) translation using (x, y) to (x+7, y)
b) 90 degree counterclockwise rotation about (3, -2)
Answer: 2:00
Step-by-step explanation:
What is the arc length S what is shown below?
The angle in the image is a central angle în radians.
Answer:
14 cm
Step-by-step explanation:
The applicable formula is ...
s = rθ
s = (7 cm)(2) = 14 cm
Suppose you know the slope of a linear relationship and one of the points that it’s graph passes through how can you determine if the relationship is proportional or not?
Answer:
I exactly don't have or know the answer