Correlation coefficients are used to solve this question, leading to the following answer:
1. The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning.
-----------------------------------
Correlation coefficients:
They measure the relationship between variables, the closer |r| is to 1, the stronger the relationship is.
If the coefficient is positive, there is a positive relationship(both variables change in the same direction)If the coefficient is negative, there is a negative relationship(the variables change in opposite directions).-----------------------------------
In this question:
r = -0.91
Negative, so opposite directions, which can be explained as for example, the more the team travels(plays away games), the less games it wins.|r| = 0.91, which is quite close to 1, so a significant relationship.Negative relation means that the scatter plot would be represented by a straight line with a negative slope, and the correct answer is:1. The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning.
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Simplify by combining like terms.
25pq + 13pq - 6 - 35pq + 4
Answer:
3pq-2
Step-by-step explanation:
25pq + 13pq = 38pq
Next
38pq - 35pq = 3pq
so thats ur first like terms combined then you have to do.
-6+4 = -2
So then you have your answer
3pq-2
Answer:
-17pq-2
Step-by-step explanation:
196 1/12 minus 13 9/12
Answer:
Hello!
___________________-
196 1/12 - 13 9/12 = 547/3
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you!
Answer:
547/3 I think :>
Step-by-step explanation:
find the measure of the missing angle, i’ll mark brainliest
there is a right angle and a acute angle. the mesurement of the missing angle is 62° and the right angle is 90°
Answer:
the answer is 62
Step-by-step explanation:
let me guess your teachers have lanschool air?
List two multiples of 17
expland and simplify 2(x+7) 3(x+1)
Answer:
2(x+7) = 2x+14 / 3(x+1) = 3x+3
Step-by-step explanation:
When you see equations with parenthesis, that means you must do distributive property. So, whatever number is outside of the parenthesis, you multiply it by all the number inside of the parenthsis.
Answer:
6x² + 48x + 42
Step-by-step explanation:
2(x + 7) 3(x + 1) ← multiply the integers
= 6(x + 7)(x + 1) ← expand factors using FOIL
= 6(x² + 8x + 7) ← distribute parenthesis by 6
= 6x² + 48x + 42
Find the distance between the two points S(–5, –2) and T(–3, 4).
Answer:
10 units
Step-by-step explanation:
this is right answer
D is a point on the side BC of △ABC, and both △ABD and △ACD are isosceles. Show that △ABC has at least one of the following three properties: (a) It is right-angled.
(b) One of its angles is twice another angle. (c) One of its angles is three times another angle.
We can see that the given triangle ABC has at least one of the three properties: (a) It is right-angled. (b) One of its angles is twice another angle. (c) One of its angles is three times another angle. Hence, the result is proved.
In △ABD, AD = BD (Isosceles triangle) …(1)In △ACD, AD = CD (Isosceles triangle) …(2) From equation (1) and (2), we have BD = CD. Hence, D is the midpoint of the side BC. Let ∠A = 2α, ∠B = 2β, ∠C = 2γ, where α, β and γ are positive angles in degrees. Since ∆ABD and ∆ACD are isosceles triangles, we get ∠ABD = ∠BAD = α (exterior angle of ΔABD)∠ACD = ∠CAD = α (exterior angle of ΔACD)Therefore, ∠BAC = 2α (sum of angles in a triangle = 180°)or α = ½ ∠BAC. equations. Using these angles, we can rewrite the sum of angles in the triangle ABC as follows: ∠ABC + ∠ACB + ∠BAC = 2β + 2γ + 2α = 2(β + γ + α). Now, we have three cases to prove:
Case (a): If ∠BAC = 90°, then the sum of angles in the triangle ABC is equal to 2α + 90° = 180° and the triangle ABC is a right triangle.
Case (b): If one angle is twice another angle, then there are two possible scenarios to consider.(i) ∠BAC = 2∠ABC, then α = 2β and the sum of angles in the triangle ABC is equal to 4β + 2γ = 180°.(ii) ∠BAC = 2∠ACB, then α = 2γ and the sum of angles in the triangle ABC is equal to 2β + 4γ = 180°.
Case (c): If one angle is three times another angle, then there are two possible scenarios to consider.(i) ∠BAC = 3∠ABC, then α = 3β and the sum of angles in the triangle ABC is equal to 6β + 2γ = 180°.(ii) ∠BAC = 3∠ACB, then α = 3γ and the sum of angles in the triangle ABC is equal to 2β + 6γ = 180°. Thus, we can see that the given triangle ABC has at least one of the three properties: (a) It is right-angled. (b) One of its angles is twice another angle. (c) One of its angles is three times another angle. Hence, the result is proved.
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Factor the following expressions completely. Show and check all work on your own paper.
x^4 - 16
thx so much I will give brainiest
Answer:
(x² + 4)(x + 2)(x - 2)------------------------------
Factor the given expression, using the difference of squares identity:
a² - b² = (a + b)(a - b)Factoring in below steps:
x⁴ - 16 = (x²)² - 4² = (x² + 4)(x² - 4) = (x² + 4)(x² - 2²) = (x² + 4)(x + 2)(x - 2)Please help with my ACT PRep
Answer:
it's D because in a graph y=3/4x-2 is not possible
Find the sum of the first 47 terms of the following series, to the nearest integer. 13, 18,23,...
The sum of the first 47 terms of the following series is 6016
What type of series is this?The series of numbers is an arithmetic progression. In an arithmetic progression, the subsequent terms are gotten by the addition of a common difference to the terms.
The series is 13, 18,23,...
The first term is = 13.
The common difference is = 18-13 = 5
The nth term is 47
the formula for sum of nth term is given by
Sn = n/2{2a + (n-1)d}
S₄₇ = 47/2{2*13 + (47-1)5}
Simplifying the expression we have
S₄₇ = 23.5 [26 + (46*5)]
S₄₇ = 23.5 [26 +230]
S₄₇ = 23.5 * 256
This shows that the S₄₇ = 6016
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Use stokes' theorem to evaluate f(x,y,z)=arctan(x^2yz^2)i+x^2yj+x^2z^2k s is the cone x=sqrt(y^2+z^2), 0<=x<=2 oriented in the direction of positive axis
To use Stokes' theorem to evaluate the given vector field, we need to find the curl of the vector field and calculate the surface integral over the cone.
First, let's find the curl of the vector field f(x, y, z) = arctan(x^2yz^2)i + x^2yj + x^2z^2k.
The curl of a vector field F = P i + Q j + R k is given by the following formula:
curl F = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k
In this case, P = arctan(x^2yz^2), Q = x^2y, and R = x^2z^2.
Taking the partial derivatives, we get:
∂P/∂x = 0, ∂P/∂y = 2x^2z^2, ∂P/∂z = 2x^2yz^2
∂Q/∂x = 2xy, ∂Q/∂y = x^2, ∂Q/∂z = 0
∂R/∂x = 2xz^2, ∂R/∂y = 0, ∂R/∂z = 2x^2z
Now, substituting these values into the formula for the curl, we have:
curl f = (2x^2z^2 - 0)i + (0 - 2xz^2)j + (2xy - 2x^2yz^2)k
= 2x^2z^2i - 2xz^2j + 2xyk
Next, we need to calculate the surface integral over the cone.
The surface integral can be evaluated using the formula:
∫∫S (curl f) · dS = ∫∫D (curl f) · (r_u × r_v) dA
Here, (r_u × r_v) is the cross product of the partial derivatives of the position vector r(u, v) with respect to the parameters u and v, and dA is the differential area element.
In this case, the cone is given by x = sqrt(y^2 + z^2), 0 <= x <= 2, and we can parameterize the surface as r(u, v) = u sqrt(1 + v^2) i + u v j + u sqrt(1 + v^2) k, where 0 <= u <= 2, -1 <= v <= 1.
Taking the partial derivatives of r with respect to u and v, we have:
r_u = sqrt(1 + v^2) i + v j + sqrt(1 + v^2) k
r_v = u v i + j + u v k
Now, calculating the cross product r_u × r_v, we get:
r_u × r_v = (v sqrt(1 + v^2) - u v sqrt(1 + v^2)) i - (sqrt(1 + v^2) - u v) j + (u v - v sqrt(1 + v^2)) k
Finally, substituting the values into the surface integral formula, we have:
∫∫S (curl f) · dS = ∫∫D (2x^2z^2i - 2xz^2j + 2xyk) · ((v sqrt(1 + v^2) - u v sqrt(1 + v^2)) i - (sqrt(1 + v^2) - u v) j + (u v - v sqrt(1 + v^2)) k) dA
Now, you can evaluate this surface integral to find the answer.
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a numerical description of the outcome of an experiment is called ______
Answer: A random variable.
Step-by-step explanation:
a numerical description of the outcome of an experiment is called a random variable.
56.01 56.10 56.011 greatest to least
Answer:
shshjshshsbs
Step-by-step explanation:
shzjshsjjsisjs
Solve for x. Round to the nearest tenth.
24
X
14
Based on the geometric theorem, the value of x, to the nearest tenth is: 8.2.
What is the Geometric Theorem?The geometric theorem states the relationship between the length of the altitude of a right triangle and the lengths of the two small segments formed on the hypotenuse.
The theorems states that:
The length of the altitude = the geometric mean of the two segments.
In the image given below which shows the right triangle, the segments formed on the hypotenuse are x and 24 units, while the altitude of the triangle is 14.
Therefore, based on the geometric theorem, we have:
14 = √(x * 24)
Solve for x:
14² = x * 24
196 = 24x
196/24 = 24x/24
x ≈ 8.2 (nearest tenth)
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When a
-5and b
3, the value of the expression is __
the correct answer is 8
If AM = x + 8 and MB= 6x – 2, find MB.
Answer:
10
Step-by-step explanation:
Firstly, AM=x+8
or, A=x+8-M......eqn (i)
MB=6x-2
or, B=6x-2-M......eqn (ii)
Now,
from eqn (i) and (ii)
x+8-M=6x-2-M
or, 8+2=6x-x-M+M
or, 10=5x
or, 10÷5=x
therefore, x=2
Again,
MB=6x-2
=6×2-2
=12-2
=10
is it correct
please mark me as BRAINLIEST
Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to
Consider using 3D printing technology to create the spherical fountain. This would allow for precise and customizable designs, and could potentially be more cost-effective than traditional manufacturing methods for complex shapes.
Use a mathematical formula to design the fountain. Here are the steps to design a spherical fountain:
Determine the desired size of the fountain. This will be the diameter of the sphere. Let's say your client wants a fountain with a diameter of 6 feet.
Calculate the radius of the sphere by dividing the diameter by 2. In this case, the radius is 3 feet.
Use the formula for the surface area of a sphere to determine the surface area of the fountain. The formula is: SA = 4π\(r^2\), where r is the radius of the sphere and π is a mathematical constant (approximately 3.14). In this case, the surface area is:
SA = 4π\((3)^2\)
SA = 4π(9)
SA = 36π
SA ≈ 113.1 square feet
Use the desired water flow rate to determine the volume of water that will flow through the fountain per minute. Let's say your client wants a flow rate of 50 gallons per minute.
Use the formula for the volume of a sphere to determine the volume of the fountain. The formula is: V = (4/3)π\(r^3\). In this case, the volume is:
V = (4/3)π\((3)^3\)V = (4/3)π(27)V = 36πV ≈ 113.1 cubic feetCalculate the amount of time it will take for the fountain to cycle through all of its water. This is known as the turnover time, and it is important to maintain water quality. The turnover time is calculated by dividing the volume of water in the fountain by the flow rate. In this case, the turnover time is:
Turnover time = Volume / Flow rateTurnover time = 113.1 / (50/60)Turnover time ≈ 2.28 minutesUse these calculations to design the fountain, taking into account any necessary adjustments for the manufacturer's limitations.
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Full Question: Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to modify the sphere to a series of cylindrical slabs with gradually decreasing radii.
1 2 3 4 01 6 7 8 00 9 A laptop has a listed price of $590.99 before tax. If the sales tax rate is 6.25%, find the total cost of the laptop with sales tax included Round your answer to the nearest cent, as necessary.
Answer: $627.93
Step-by-step explanation:
If tax is 6.25%
6.25% of $590.99= $36.94
Price + tax = total cost
Total cost = $590.99 + $36.94 = $627.93
Convert this number expressed in standard form to scientific notation.
28,500,000
Answer:
2.85 × 10^7
Step-by-step explanation:
1.In scientific notation, the whole number before the decimal point shouln't be more than 10(exclude 10) or less than 1(include 1)
2.Count the digits after the decimal point to write the power.
Solution;
1. 2.85( 2 is not less than 1 as well as more than 10).
2.Since there are 7 digits after the decimal point, we should write the power 10^7.
3. Complete answer;
2.85 × 10^ 7
Answer: 7
Step-by-step explanation:
if 1 over 5= 20% what is the fration equivalent to 120%
120% is equivalent to the fraction 11/5.
What are Fractions?Fractions are defined as part of a whole. A whole can be an object or a group of objects. In real life, if you cut a pie out of the whole pie, that piece becomes part of the pie. Fractions are words of Latin origin. "Fractus" means "broken" in Latin.
If 1/5 = 20%, then we can convert 120% to a fraction by first dividing by 100 to get the decimal equivalent, and then adding 1 to get the fractional equivalent:
120% = 120/100 = 1.2
1.2 + 1 = 2.2
Therefore, 120% is equivalent to the fraction 11/5.
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in a set of scores with a mean of 100 and a standard deviation of 15, what raw score is represented by a z score of 2.00?a.115b.100c.70d.130
The raw score represented by a z score of 2.00 is 130 (option d).
What is the raw score corresponding to a z score of 2.00?A z score, also known as a standard score, measures the distance between a particular raw score and the mean of a distribution in terms of standard deviations. In this case, the given set of scores has a mean of 100 and a standard deviation of 15. A z score of 2.00 indicates that the raw score is two standard deviations above the mean.
To find the corresponding raw score, we can use the formula:
Raw Score = (Z Score × Standard Deviation) + Mean
Plugging in the values, we have:
Raw Score = (2.00 × 15) + 100Raw Score = 30 + 100Raw Score = 130Therefore, a z score of 2.00 in this distribution corresponds to a raw score of 130.
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question 7...help please yall
answer
Step-by-step explanation:
they two are in a straight line so
it can be added
or, 3x+2+6x-20=180[straight angle]
or, 9x-18=180
or, 9x=180+18
or, 9x=198
or, x=198÷9
or, x=22
the value of x is 22
Calculate the size of θ in the given diagram ( see image).
O is the center of the circle.
Answer:
42°Step-by-step explanation:
The triangle is isosceles as two sides are radius.The central angle and the tangent chord angle refer to same arc.Tangent chord angle is half the size of the central angle.The central angle is:
2*48° = 96°The other angles in the triangle are equal:
∠θ = 1/2(180° - 96°) = 1.2(84°) = 42°Write an equation for each translation of y
|x1.
2.5 units left
Answer:
Step-by-step explanation:
the translation of y = |x| 2.5 units to the left is:
y = |x+2.5|
Parallelogram ABCD is rotated to create image A'B'C'D'.
The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:
Point A (2, 5) becomes A' (-5, 2).
Point B (5, 4) becomes B' (-4, 5).
Point C (5, 2) becomes C' (-2, 5).
Point D (2, 3) becomes D' (-3, 2).
By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.
This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.
Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.
Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
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5-Which of the equłtions represents the circle below?
A) x2 + y² = 12
B) x2 + y2 = 36
o +vy=v12
D) Vx+vy=v6
Answer:
The equator the circle is;
x^2 + y^2 = 36
Step-by-step explanation:
The general equation of a circle is ;
(x-a)^2 + (y-b)^2 = r^2
(a,b) is the center of the circle which is the origin here
The radius is half the distance from edge to edge, passing through the center either in the vertical or horizontal direction
From the center to the edge of the positive x axis bounding the circle, we have 6 units
This would be the same for the left too
So, the diameter of the circle would be 6 + 6 = 12 units
The radius of the circle is half of this which would be 12/2 = 6 units
thus, we have the equation of the circle as;
(x-0)^2 + (y-0)^2 = 6^2
x^2 + y^2 = 36
4 x + 2 + x = blank x – 19
The result of the equation 4 x + 2 + x = x – 19 is - 5.25.
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
There are two kinds of equations: identities and conditional equations. An identity is true for all values of the variables.
Given equation -
4 x + 2 + x = x – 19
Simplify the equation
5x + 2 = x - 19
5x - x = -19 - 2
4x = -21
x = -21 / 4
x = -5.25
Hence, -5.25 is the answer to the equation 4 x + 2 + x = x - 19.
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Which of the following is not a Pythagorean
Triple?
a. 6, 10,8
b. 18, 30, 24
c. 7, 24, 25
d. 5, 14,9
Sydney has index cards numbered 1 through 10 and determines that the probability of drawing a 4 is 3 out of 10. If she draws cards 100 times, how many times can she expect to draw a 4?
Answer:
30 timesStep-by-step explanation:
In this problem, we are going to find the probability of obtaining/drawing a 4 after 100 trials
Given that the probability of drawing a 4 out of 10 trials is 3/10
therefore the probability of drawing a 4 out of after 100 trials
= (3/10)*100
= 3*10
= 30
Hence the probability of drawing 4 after 100 trials are 30 times
1. What is the value of x in the right triangle shown?
Answer:
15mm
Step-by-step explanation:
Here, Pythagoras Theorem will be used, which states that,
(BASE)² + (HEIGHT)² = (HYPOTENUSE)²
Base = x mmHeight = 8 mmHypotenuse = 17 mmPutting the values accordingly,
(17)² = (8)² + (x)²
(x)² = (17)² - (8)²
(x)² = 225
x = 15 mm
Hope it helps :)
Answer:
15mm
Step-by-step explanation:
Hypotenuse of a triangle^2 = a^2 + b^2
=> 17^2 mm = 8^2mm + x^2mm
=> 289mm = 64mm + x^2mm
=> 289mm - 64mm = x^2mm
=> 225mm = x^2mm
=> √225mm = x mm
=> 15mm = x
Hope you understood!!