Whether or not there is a causal relationship between the two variables is not something we can learn from a scatter plot(D).
A scatter plot is a graph that represents the relationship between two variables. It is useful for detecting patterns or trends in the data.
We can learn a lot from a scatter plot, such as whether there is a relationship between the two variables (B), the strength and direction of the relationship, whether there is a curved relationship between the two variables (A), whether there are outliers in the data (E), and the distribution of the data.
However, we cannot determine causality from a scatter plot alone (D). To establish causality, we need to perform experiments or use other statistical techniques such as regression analysis.
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greatest common factors between 35 and 56
Answer:
The only greatest common factors between 35 and 56 is 7.
Answer:
7
Step-by-step explanation:
Use prime factorization;
35 = 5 * 7
56 = 2 * 2 * 2 * 7
Both 35 and 56 have ( 7 ) in common, hence their GCF is 7.
tion. 4.
A A'B'C' is the image of A ABC after a translation.
Write a rule in ARROW NOTATION for the
translation
y B
A
A
C с
B
O-A
C
TXY
Given:
The triangle A'B'C' is the image of triangle ABC after a translation as shown in the given graph.
To find:
The rule of translation in ARROW NOTATION.
Solution:
The general rule for translation is:
\((x,y)\to (x+a,y+b)\) ...(i)
Where, a and b are constants.
From the given graph it is clear that the coordinate of point A are (2,3) and coordinates of point A' are (4,-2).
Using (i), the image of A(2,3) is
\(A(2,3)\to A'(2+a,3+b)\)
We have, A'(4,-2).
\(A'(2+a,3+b)=A'(4,-2)\)
On comparing both sides, we get
\(2+a=4\)
\(a=4-2\)
\(a=2\)
And,
\(3+b=-2\)
\(b=-2-3\)
\(b=-5\)
Putting \(a=2\) and \(b=-5\) in (i), we get
\((x,y)\to (x+2,y+(-5))\)
\((x,y)\to (x+2,y-5)\)
Therefore, the rule in ARROW NOTATION for the given translation is \((x,y)\to (x+2,y-5)\).
-8W + 5 = -43
I need help asap
If the length of a rectangle is increased by 40% and the width is decreased by 40% then the area:.
The Area of Rectangle would be Decreased by 16% of the original Area. Now the Area of Rectangle is 84%.
Let the Length of rectangle be ‘x’
And width of rectangle be ‘y’
Area of Rectangle = Length X Width
Original Area of rectangle = x X y = xy square units
As the length is increased by 40% then, the new length would be 1+40% i.e 1.4 and,
The width is decreased by 40% then, the new width would be 1-40% i.e 0.6
New Length = 1.4x
New Width = 0.6y
Now , New Area of Rectangle = 1.4x X 0.6y
= 0.84xy square units
The effect is that the New Area of the rectangle is 84% of the original area. There is a decrease of 16% in the area.
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Simplify:
6x + 2 - x + 2) - 2x
Answer: 5x+4
Step-by-step explanation: add the terms and combine
help pleaseeeeeeeeee
Tony Romano is self employed. His annual adjusted earnings are $58,238.74. How much does he need to pay for Medicare tax (2.9%) ?
Since Tony is self-employed, he will have to pay all of the tax himself.
Take his adjusted earnings times the tax rate
58238.74 * 2.9%
58238.74 * .029
1688.92346
Rounding to the nearest cent
1688.92
List the first 5 terms of the sequence -3n -2.
Answer:
-5,-8,-11,-14,-17
Step-by-step explanation:
-3n -2
n=1 -3(1) -2 = -3-2 = -5
n=2 -3(2) -2 = -6-2 = -8
n=3 -3(3) -2 = -9-2 = -11
n=4 -3(4) -2 = -12-2 = -14
n=5 -3(5) -2 = -15-2 = -17
We can substitute n with each term in order.
First Term:
-3(1) - 2
-3 - 2
-5
Second Term:
-3(2) - 2
-6 - 2
-8
Third Term:
-3(3) - 2
-9 - 2
-11
Fourth Term:
-3(4) - 2
-12 - 2
-14
Fifth Term:
-3(5) - 2
-15 - 2
-17
Therefore, the sequence is -5, -8, -11, - 14, -17
Best of Luck!
In ΔEFG, g = 34 inches, e = 72 inches and ∠F=21°. Find the area of ΔEFG, to the nearest square inch.
The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.
To find the area of triangle EFG, we can use the formula:
\(Area = (1/2) \times base \times height\)
In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.
First, let's find the length of FG. We can use the law of cosines:
FG² = EF² + EG² - 2 * EF * EG * cos(∠F)
EF = 72 inches
EG = 34 inches
∠F = 21°
Plugging these values into the equation:
FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)
Solving for FG, we get:
FG ≈ 83.02 inches
Next, we need to find the height. We can use the formula:
height = \(EF \times sin( \angle F)\)
Plugging in the values:
height = 72 * sin(21°)
height ≈ 25.52 inches
Now we can calculate the area:
\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)
Area ≈ 1060.78 square inches
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What is finite geometry?Please, Can you write what it is? It's easy to understand.
Given
Finite Geometry
Find
Definition
Explanation
A finite geometry is a geometric system that has only finite number of points.
For example
It has 4 points and 6 lines.
Final Answer
A finite geometry is a geometric system that has only finite number of points.
Which expression is equivalent to the one below
Answer:
C.
Step-by-step explanation:
5 divided by 2 is the same as 5 times 1/2
\(\frac{5}{1} * \frac{1}{2} =\frac{5}{2} =5/2\)
Beth has 6 blue envelopes. She has 2 fewer yellow envelopes than blue envelopes. She has 7 times as many green envelopes as yellow envelopes. How many envelopes does Beth have in all?
PLEASE ANSWER MY LITTLE SISTER DOESN'T TRUST ME WITH THE REAL ANSWER PLSSSSSS
Answer:
38
Step-by-step explanation:
No. of yellow envelopes she has
= 6-2
= 4
No. of green envelopes she has
= 7×4
= 28
Total number of envelopes she has
= 6+4+28
= 38
)If 1 gallon is equal to 4 quarts, then 6 gallons would equal ___ quarts.
Answer:
24
Step-by-step explanation:4x6
Answer:
24
Step-by-step explanation:
two different cubes of the same size are to be painted, with the color of each face being chosen independently and at random to be either black or white. what is the probability that after they are painted, the cubes can be rotated to be identical in appearance?(2020amc12b problem 20) (a) 64 9 (b) 2048 289 (c) 512 73 (d) 1024 147 (e) 4096
Step-by-step explanation:
with 2 cubes we have 12 faces to paint.
each face has 2 options (black or white).
so, we have a total of 2¹² possible outcomes.
a probability is always the ratio of
desired cases / totally possible cases
so, we need to find a way to express the desired cases of both cubes being painted the same way.
essentially that means we have a totally free choice of painting the faces of the first cube.
that is 2⁶ possible outcomes.
for the second cubes we have then only one basic choice : to repeat the choices done on the first cube.
BUT : we have 6×4 ways to orient the second cube before painting it identically.
6 ways to pick e.g. the front face, and then 4 options to rotate the cube with the same front face for the e.g. top face.
in other words, we have 2⁶ different desired patterns on the first cube and 24 options to repeat the pattern on the second cube.
that means the desired options are 2⁶×1×24
so, the probability for them to be identical is
24×2⁶ / 2¹² = 24/2⁶ = 3/2³ = 3/8 = 0.375
The probability that after they are painted, the cubes can be rotated to be identical in appearance is (a) 64/9
Probability is a branch of mathematics that deals with the study of random phenomena or events with uncertain outcomes.
Let's start by assuming that one of the cubes has the black face facing up. The other cube can be painted in any of the possible ways.
Let's list all the possible configurations for the second cube.
There are six faces, and each can be painted either black or white. Therefore, there are 2⁶ = 64 possible configurations for the second cube.
The cube with the black face facing up has been accounted for separately, so there are 63 configurations that we need to consider.
If the second cube is painted all black or all white, there is only one way to position it so that the cubes look identical, and that is to rotate it so that the black or white face is facing up.
There are two such configurations. If the second cube has exactly one white face and five black faces, there are three ways to position it so that the cubes look identical. There are three such configurations
.If the second cube has two white faces and four black faces, there are six ways to position it so that the cubes look identical. There are six such configurations.
If the second cube has three white faces and three black faces, there are eight ways to position it so that the cubes look identical. There are eight such configurations.
If the second cube has four white faces and two black faces, there are six ways to position it so that the cubes look identical. There are six such configurations.
If the second cube has five white faces and one black face, there are three ways to position it so that the cubes look identical. There are three such configurations
.If the second cube is painted all white, there is only one way to position it so that the cubes look identical, and that is to rotate it so that the white face is facing up. There are two such configurations.
In total, there are 2 + 3 + 6 + 8 + 6 + 3 + 2 = 30 ways to position the two cubes so that they look identical.
There are 63 × 64 possible configurations for the two cubes, so the probability of the cubes being able to be rotated to be identical in appearance is given by:
30/ (63×64) = 64/9
Therefore, the correct answer is (a) 64/9.
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determine whether x=33 is a solution of the equation below 3= x/11
Answer:
Yes, x = 33 is a solution
Step-by-step explanation:
To see if it is a solution, plug in 33 as x
3 = x/11
3 = 33/11
3 = 3
Since this is correct, x = 33 is a solution.
Given,
The value of x is 33.
\( \implies \: 3 = \bf\dfrac{x}{11} \)
\( \implies \: 3 \times 11 = \bf x\)
Putting the value of x ..
\( \implies \: 33 = 33\)
Left hand side is equal to right hand side, it means that x = 33 is a solution of given equation.
Jack and Danny both have a test average of 88 in Biology. Jack's standard deviation is 1.231 and
Danny's standard deviation is 8.632. Write a sentence describing the differences in Jack’s and Danny’s test scores.
Answer:
Jack and Danny both have a test average of 88 in Biology. Jack's standard deviation is 1.231 and
Danny's standard deviation is 8.632. Write a sentence describing the differences in Jack’s and Danny’s test scores.
Step-by-step explanation: they were different
HELP PLS FOR 100 POINTS PLS
Answer:
eef the points thanks man
thanks
Step-by-step explanation:
Answer:
Answer:
eef the points thanks man
thanks
Step-by-step explanation:
Step-by-step explanation:
Insert operation signs and parentheses as needed to make the equation true.
4 3/4 _ 7 1/2 _ 1 1/6 _ 1 1/3 = 1
help plss asap ty!!
The operation signs to insert in the expression is division is 4 3/4 ^ 7 1/2 ^1 1/6 ^1 1/3 ≠ 1
What is the operation signs about?There are different kinds of mathematical operation signs such as addition, division etc.
Note that the expression is 4 3/4 ^ 7 1/2 ^1 1/6 ^1 1/3 = 1
Since they have common denominator, it will be
43 + 71 + 11 + 11 / 3 = 1
136/3 =1
Therefore the answer is that 45.33 ≠ 1
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All the data collected in a particular study are referred to as the? inference. variable. data set. population.
Inference is referred to as all the data collected in a particular study.
What is inference?Etymologically, the word "infer" means to "carry ahead." Inferences are stages in reasoning that connect premises to logical conclusions. The dichotomy between deduction and induction in inference theory, which dates at least to Aristotle in Europe, is a classic one (300s BCE). Deduction is inference that results in logical conclusions from premises that are known to be true or that are presumed to be true, while the logic of correct inference is investigated. A universal conclusion is inferred by induction from specific evidence. Contradistinguishing abduction from induction, Charles Sanders Peirce is credited with identifying a third sort of inference. Researchers in the domains of logic, argumentation studies, and cognitive psychology traditionally study human inference (i.e., how people draw conclusions); artificial intelligence researchers create automated inference systems to mimic human inference.
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Two pipes have lengths of 41 feet and 2 feet. What is
the sum of the lengths of the two pipes?
Answer:
43ft
Step-by-step explanation:
Answer:
43 feet!
Step-by-step explanation:
41+2=43!
find the missing number of the unit rate
4/2 = ?/1
Answer:
2
Step-by-step explanation:
4/2 = 2
2/1 = 2
4/2=2/1
EZ
4x+3y^2-7z^4+5z^4+11-4x+y^2
Answer:
4y^2 + -2z^4 + 11
Step-by-step explanation:
Combine like terms
Answer:
\( \underline { \boxed{ans = \: {4y}^{2} - {2z}^{4} \: }}\)
Step-by-step explanation:
\(4x+3y^2-7z^4+5z^4+11-4x+y^2 \\ to \: simplify....we \: \underline{\boxed{add \: or \: subtract}} \: like \: terms \to \\ (4x - 4x) +( {3y}^{2} + {y}^{2} ) + ( {5z}^{4} - 7 {z}^{4} ) \\ 0 + {4y}^{2} - {2z}^{4} \\ ans \: = {4y}^{2} - {2z}^{4}\)
♨Rage♨
Find the zero of the polynomial and verify its relationship between zeros and coefficients
(can u do it the cbse way please)
2x^2-3root3x-15
The zeros of the polynomial are: x1 = [3√3 + √147]/4 and x2 = [3√3 - √147]/4
Describe Polynomial?In mathematics, a polynomial is an expression consisting of variables and coefficients, combined using the operations of addition, subtraction, and multiplication, but not division by variables. The variables usually represent numbers, but can also represent other mathematical objects such as matrices, functions, or geometrical shapes. The coefficients are usually real or complex numbers, but can also be integers, rational numbers, or elements of other algebraic structures.
To find the zeros of the given polynomial, we need to solve the quadratic equation:
2x² - 3√3x - 15 = 0
We can solve this by using the quadratic formula:
x = [-b ± √(b² - 4ac)]/2a
Here, a = 2, b = -3√3, and c = -15. Substituting these values, we get:
x = [-(-3√3) ± √((-3√3)² - 4(2)(-15))]/(2(2))
x = [3√3 ± √(27 + 120)]/4
x = [3√3 ± √147]/4
Therefore, the zeros of the polynomial are:
x1 = [3√3 + √147]/4
x2 = [3√3 - √147]/4
To verify the relationship between the zeros and coefficients of the polynomial, we can use Vieta's formulas:
The sum of the zeros of a quadratic equation is equal to -b/a.
The product of the zeros of a quadratic equation is equal to c/a.
Here, the sum of the zeros is:
x1 + x2 = [3√3 + √147]/4 + [3√3 - √147]/4
= (6/4)√3/2
= (3/2)√3
The product of the zeros is:
x1x2 = ([3√3 + √147]/4) ([3√3 - √147]/4)
= [27 - 147]/16
= -3
Now, we can compare these values with the coefficients of the given polynomial:
2x² - 3√3x - 15 = 0
Here, a = 2, b = -3√3, and c = -15. We can see that:
-b/a = 3√3/2, which is equal to the sum of the zeros.
c/a = -15/2, which is equal to the negative of the product of the zeros.
Therefore, we have verified the relationship between the zeros and coefficients of the polynomial.
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PLS DO NUMBER 6 WILL MARK BRAINLY AND ALSO GIVE AN ADDITIONAL 100 PTS IF CORRECT PLS HURRY. THANK YOU
Answer: A
Step-by-step explanation:
Answer:
Step-by-step explanation:
A
what is the value of the expression (-2)^3 x (-2)^2
[the up arrow represents exponents]
Cal can purchase 3 tickets for
$24.75. How many tickets can he buy
for $57.75?
Answer:
Cal can buy seven tickets for $57.75
What is the measure of angle T in this triangle? Enter your answer as a decimal in the box. Round only your final answer to the hundredths place. m∠T= ° A right triangle, T R S. Hypotenuse is labeled 68 m. The shorter leg is labeled 32 m. The longer leg is labeled 60 m. The right angle is at angle S. Angle R is across from the 60 m side. Angle T is across from the 32 m side.
Answer:
Hey homie
Step-by-step explanation:
Here you are ;)
The measure of the angle ∠STR of the right-angle triangle ΔTSR will be 28.07°.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The hypotenuse is named 68 m. The more limited leg is named 32 m. The more drawn-out leg is named 60 m. The right point is at point S. Point R is opposite the 60 m side. Point T is opposite the 32 m side.
The measure of the angle ∠STR of the right-angle triangle ΔTSR is calculated as,
Let 'x' be the angle ∠STR. Then the equation is given as,
sin x = 32 / 68
Simplify the equation, then we have
sin x = 32 / 68
sin x = 0.470588
x = sin⁻¹(0.470588)
x = 28.07°
The measure of the angle ∠STR of the right-angle triangle ΔTSR will be 28.07°.
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john and jane go rock-climbing together. john climbs a height of $(x 5)$ miles in $(x-1)$ hours and jane climbs a height of $(x 11)$ miles in $(x 1)$ hours. if john and jane were climbing at the same speed, what must have been their speed, in miles per hour?
Given that John climbs a height of \($(x + 5)$\) miles in \($(x - 1)$\) hours and Jane climbs a height of \($(x + 11)$\) miles in \($(x + 1)$\) hours. We know that the distance covered by both John and Jane are equal.
Distance covered by John = Distance covered by Jane
Therefore, \($(x + 5) = (x + 11)$\)
Thus, x = 6
Now, we need to find the speed of both, which is given by the formulae:
Speed = Distance / Time
So, speed of John = \($(x + 5) / (x - 1)$\) Speed of John =\($11 / 5$\) mph
Similarly, speed of Jane = \($(x + 11) / (x + 1)$\)
Speed of Jane = \($17 / 7$\) mph
Since both have to be equal, Speed of John = Speed of Jane Therefore,
\($(x + 5) / (x - 1) = (x + 11) / (x + 1)$\)
Solving this equation we get ,x = 2Speed of John = \($7 / 3$\) mph
Speed of Jane = \($7 / 3$\) mph
Thus, their speed was \($7 / 3$\) mph.
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a plumber charges a rate of $65 per hour for his time but gives a discount of $7 per hour to senior citizens. write an expression which represents a senior citizen's total cost of plumber in 2 different ways
An equation highlighting the discount: y = (65 - 7)x
A simpler equation: y = 58x
Compute the expression
C(10,3)