The contribution of the first data point, (54, 60) to correlation is given by the option with the equation equation;
[tex] \displaystyle{\left( \frac{54 - 58.4 }{16.87}\right)\cdot \left( \frac{60 - 60.8}{21.89 }\right)}[/tex]What is the formula the correlation coefficient?The correlation coefficient is given by the formula;
[tex]r = \frac{1}{n - 1} \times \sum( \frac{x - \bar{x}}{s_{x} })( \frac{y - \bar{y}}{s_{y} })[/tex]
Where;
(x, y) are the coordinates of a data point.
[tex] \bar{x}[/tex] = The mean for the x-values
[tex]S_{x}[/tex] = The standard deviation of the x-values
[tex] \bar{y}[/tex] = The mean of the y-values
[tex]S_{y}[/tex] = The standard deviation of the y-values
The given parameters are;
[tex] \bar{x}[/tex] = 58.4
[tex]S_{x}[/tex] = 16.87
[tex] \bar{y}[/tex] = 60.8
[tex]S_{y}[/tex] = 21.89
The formula for the contribution of the first data point, (54, 60) to correlation, r, is therefore;
[tex] \displaystyle{\left( \frac{54 - 58.4 }{16.87}\right)\cdot \left( \frac{60 - 60.8}{21.89 }\right)}[/tex]
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3. The cost of mass production of cars is partly constant and partly varies as the number of cars produced. The total cost of making 400 cars is sh 3,740,000 and that of making 1000 cars is sh 7,100,000. Find the cost of making 2500cars.
Step-by-step explanation:
since the process is defined by a constant term plus a variants term, the equation looks like
costs(c) = k + a×c
3,740,000 = k + 400a
7,000,000 = k + 1000a
let's simply subtract the guys from the second equation
7,000,000 = k + 1000a
- 3,740,000 = -k - 400a
------------------------------------
3,260,000 = 0 + 600a
600a = 3,260,000
a = 5,433.333333... 5,433 1/3
3,740,000 = k + 400×5,433.333333...
k = 3740000 - (400×5,433.333333...) =
= 1,566,666.66666...
so, the function is
costs(c) = 1,566,666.66666... + 5,433.333333... × c
therefore,
costs(2500) =
= 1,566,666.66666... + 5,433.333333... × 2500 =
= sh 15,150,000
Joni worked 14 hours more than Dominic last month. If Joni worked 7 hours for every 3 hours that Dominic worked, how many hours did they each work?
Answer:
look at the multiple of 3 and seven and find which number in the 7 multiple equal 14 more.
There question I need help on is “What is the ratio of the number of bananas to the total number of pieces of fruit?”
Answer: 3:12 math is power
Answer:
3:12
Step-by-step explanation:
not sure if you have to reduce but if you have simplify it it would be 1/4
3/2(6x+2)=-3(x-1) need help with this
Answer:
x=0
Step-by-step explanation:
:)
Answer:
[tex]{ \tt{ \frac{3}{2}(6x + 2) = - 3(x - 1) }} \\ \\ { \tt{3(3x + 1) = - 3(x - 1)}} \\ { \tt{3x + 1 = - (x - 1)}} \\ { \tt{3x + 1 = - x + 1}} \\ { \tt{3x + x = 0}} \\ { \tt{x = 0}}[/tex]
IM TIMED PLEASE HELP
Find the value of x if U is between T and V, TU=7x+35,UV=4(x+7),and TU≅UV .
Multiple choice questions.
A)
−3
B)
−7/3
C)7/3
D)
3
The value of x if U is between T and V is -7/3
How to determine the value of x?The given parameters are:
U is between T and V,
TU = 7x + 35
UV = 4(x + 7)
TU ≅ UV
The above means that
7x + 35 = 4(x + 7)
Open the brackets
7x + 35 = 4x + 28
Evaluate the like terms
3x = -7
Divide both sides by 3
x = -7/3
Hence, the value of x if U is between T and V is -7/3
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the general solution to
Sin2x = Cosx+l
Answer:
Step-by-step explanation:
sin2x = cosx + l
This can be written as:
2 sinxcosx = cosx + 1
One way would be to draw graphs of sin2x and cosx + 1 and see where they intersect.
Another way is to use y = tan(x/2), then sinx = 2y/(y^2+1) and cos x
= (-y^2 + 1) / (y^2 + 1) to substitute into the given equation and solve for y.
The algebra will be pretty challenging in this method.
11. Lucretia, who works part-time as a substance abuse counselor, earns $18.15
per hour and works 20 hours per week. She is single and claims one withholding
allowance. She lives in a state with no state income tax. (2.1)
Using proportions, it is found that the weekly amounts are given as follows:
Federal Withholding: $33Social Security Tax: $22.51.Medicare Tax: $10.53.State income tax: $134.31.What is the missing information?We have to determine for Lucretia these following weekly amounts:
Federal Withholding.Social Security Tax.Medicare Tax.State income tax.The rates are given as follows:
Withholding allowance: $33 (for someone earning $363 a week).Medicare tax: 2.9%.Social Security: 6.2%.State tax: 37%, as she lives on a state with no tax, hence pays only the Federal rate.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
Lucretia's weekly salary is given as follows:
20 x 18.15 = $363.
The withholding allowance is fixed at $33 for a person earning her amount, while the tax rate is of 37%, as she lives in a state with no income tax, hence she only pays the federal tax rate.
The other amounts are given as follows:
Medicare Tax: 0.029 x 363 = $10.53.Social Security Tax: 0.062 x 363 = $22.51.State tax: 0.37 x 363 = $134.31.More can be learned about proportions at https://brainly.com/question/24372153
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please answer as soon as possible
Step-by-step explanation:
the answer is, if it's correct y=4
Suppose there is a 1.1 degree drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature o the ground is 59.7 degrees F, what will be the temperature at an altitude of 11,000 ft?
The temperature at an altitude of 11,000 ft is found to be 47.6 Degree Fahrenheit.
What is defined as the temperature?Temperature is a measure of how hot or cold something is demonstrated in terms of one of several scales, such as Fahrenheit and Celsius. Temperature signifies the direction wherein heat energy will instantaneously flow—that is, from a hotter (higher) body to a colder body (at a lower temperature).The plane is at ground level, with a temperature of 59.7 degrees Fahrenheit. The temperature drops by 1.1 degrees Fahrenheit for every 1,000 feet.
Initial Temp = 59.7 Fahrenheit
Distance Covered = 11,000 Ft
As the plane stands there, the ground level is zero feet.
Later, it soars into the sky at 11,000 feet.
= 11×1,000
Temperature drops by 1.1 degrees Fahrenheit for every 1,000.
As a result, at 11,000 feet, the temperature will drop 11 times,
= 11×1.1
or 12.1 degrees.
Therefore, at 11,000 feet, the temperature will be Fahrenheit,
= 59.7 - 12.1
= 47.6 degree Fahrenheit
Thus, the temperature at an altitude of 11,000 ft is computed as 47.6 degree Fahrenheit.
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6.3 = 2x - 4.5 solve for x
Answer:
x = 5.4
Step-by-step explanation:
6.3 = 2x-4.5
2x = 6.3 + 4.5 = 10.8
x= 5.4
Answer:
5.4is the value if x
Step-by-step explanation:
6.3=2x-4.5
6.3+4.5=2x
10.8=2x
10.8/2=x
5.4=x
So,x=5.4
I need help to find the perimeter of this triangle
Answer:
3(x+1)
Step-by-step explanation:
The perimeter of triangle is equal to sum of all side of triangle.
perimeter of triangle=(x-3)+x+(x+6)
on simplify
=3x+3
=3(x+1)
so, perimeter of triangle is equal to
=3(x+1)
. A caterer in Florida is making fresh
orange juice, the official state beverage.
Four oranges make 1 cup of juice. How
many oranges will the caterer need to
use to make 58 cups of juice? HELPPP
Step-by-step explanation:
58 multiple 4
..................
4) Mary had some candy to give to her five
children. She first took seven pieces for
herself and then evenly divided the rest
among her children. Each child received
four pieces. With how many pieces did
she start?
Answer: 27 4 peices for 5 children
Step-by-step explanation: 4 peices for 5 children 4×5=20 then she ate 7 so 20 plus 7 is 27
Full equation 4×5+7=27
The grid above shows the graph of the parent function f(x) = |x| and a translated functions graph.
Write the equation for the translated graph.
The equation of the translated graph is g(x) = |x + 2| + 1
How to write the equation of the translated graph?The parent function is given as
f(x)= |x|
From the graph, we can see that the parent function f(x) is translated as follows:
2 units left1 unit upThis is represented as
(x, y) = (x + 2, y + 1)
So, we have
g(x) = |x + 2| + 1
Hence, the equation of the translated graph is g(x) = |x + 2| + 1
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Student Name: davidmontague
Distributive Property Using Area
You have just used the distributive property to write these products as a sum. If drawing rectangles
helps you, feel free to use that visual aid to rewrite the following expressions as a sum. 2 points each
5
14. 8(y + 2)
16. a(a + 3)
18. 2m(m + 4)
13. 5(m-2);
15.-3(m + 4)
17. h(h-2).
19.-2(z-8)
20. -4x(x - 10)
Following expressions are represented as a sum
14. 8y +16
16. a² +3a
18. 2m² + 8m
13. 5m - 10
15. -3m -12
17. h² - 2h
19. -2z + 16
20. -4x² + 40x
The distributive property is also known as the distribution law of multiplication in addition and subtraction. The name itself means the activity that involves dividing or distributing something. The distribution law applies to addition and subtraction.The distributive property shows that an expression given in the form A(B + C) can be solved as A × (B + C) = AB + AC. This distribution law also applies to subtraction and is expressed as A(B - C) = AB - AC. This means operand A is split between the other two operands. The distributive property of multiplication on addition is applied when we need to multiply a number by the sum of two numbers. For example, let's multiply 7 by the sum of 20 + 3. Mathematically we can represent this as 7 (20 + 3).
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Consider the line y = 6x-9.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Slope of a parallel line:
Slope of a perpendicular line:
Answer:
Gradient of parallel line: 6
Gradient of perpendicular line: -1/6
Step-by-step explanation:
The gradient is the value of m in the equation format y = mx + c.
Parallel lines share the same gradient, with just the y-axis intercept (c value) changing.
The gradient of a line perpendicular to a line is found by taking the negative reciprocal of the original line's gradient. A reciprocal is a essentially fraction flipped over. For example 3/2 becomes 2/3. 6 can be expressed as 6/1 (as every whole number can be divided by 1), so the reciprocal of that is 1/6. The negative version of 1/6 is -1/6.
Evaluate.
Remember Order of Operations!
(PEMDAS)
-5 × (-7+2) - 13
Answer:
the answer is 12 just =12
8,282 in verbal form
Eight thousand two hundred and eighty two
a) Find The rate of change of f.
b) Express f in the form f(x) = ax + b
Answer:
this is hard , I suggest you see a tutor
5 + 7x + 10 = −41 what is the answer I don’t understand
answer:
[tex]15 + 7 \times = - 41 \\ 7 \times = - 41 - 15 \\ 7 \times = - 56 \\ \times = - 8[/tex]
Answer:
Step-by-step explanation:
I believe you need to just combine like terms:
5 + 7x +10 = -41
Try to get the 7x alone:
7x + 15= -41
To get 7x alone completely have it alone on the side move the 15 to the other side of the =.
7x +15 = -41
-15 -15
you'll get
7x= -55
then you need to get x all alone so divide the 7from both sides
7x=-55
/7 /7
Your solution will be:
x=-7.857 round to whichever place you need
HELP ASSAPP PLSASEEE
Answer:
(-2,-2)
Step-by-step explanation:
For a cartesian plane, the solutions to 2 lines is where the 2 lines intercept.
Where this interception point is put into a coordinate (x,y)
Which in this case, the point of intersection is found to be (-2,-2) (Read from the graph)
The height of a clocktower is 44 meters. Max, who is standing near the clocktower, casts a 7 meter shadow and is 2 meters tall. How long is the shadow of the clocktower? Round your answer to the nearest tenth, if necessary
Answer:
the answer is 220 i calculated
Use the figure below to complete the following problem.
Given:
ZH=2x+60
LT=x+ 30
HALT is a
H
ZA =
O 30
045
O 60
The value of angle A is 60.
In Euclidean geometry, a parallelogram is a simple quadrilateral having two sets of parallel sides. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.
We have the angles as:
∠H = 2x + 60
∠T = x + 30
Now, HALT is a parallelogram.
Therefore, angles H and T are supplementary.
So,
∠H + ∠T = 180
2x + 60 + x + 30 = 180
3x + 90 = 180
3x = 180 - 90
3x = 90
x = 90 / 3
x = 30
Substituting the value of x in the angles, we get:
∠H = 2x + 60
∠H = 2(30) + 60
∠H = 60 + 60 =120
∠T = x +30
∠T = 30 + 30
∠T = 60
Now, angles T and A are congruent angles.
Therefore, ∠T = ∠A
∠A = 60
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Which of the following could be the equation of the graph shown below? Check all that apply.
(Picture included)
The equations that could represent the graph shown are:
A. -4x + 2y = -6
C. y = 3x - 2
How to Determine the Equation of a Graph?The equation of a linear graph, in slope-intercept form, can be written as y = mx + b, where:
b is the point on the y-axis that the line intercepts, which is called the y-intercept of the graph.m is the slope of the graph, which is the rise/run along the line.Given the graph in the diagram, it would have a positive slope and a negative y-intercept.
A. -4x + 2y = -6
Rewrite in slope-intercept form
2y = 4x - 6
y = 4x/2 - 6/2
y = 2x - 3 [positive slope and negative y-intercept]
B. 2x - 3y = -9
Rewrite in slope-intercept form
-3y = -2x - 9
y = 2/3x + 3 [positive slope and positive y-intercept]
C. y = 3x - 2 [positive slope and negative y-intercept]
D. y = -10 is a horizontal line.
Therefore, the equations that could represent the graph shown are:
A. -4x + 2y = -6
C. y = 3x - 2
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Convert the given measurement to the unit indicated
using the table to the right.
0.13 m³ to kg
Converting the given measurement 0.13m^3 into kg using the given table. We get the answer as 130 kg.
Measurement of 0.13m^3 to be converted to kg using the table.
To convert cubic meters to kilograms, multiply the value in cubic meters by the density of the ingredient and then multiply the result by 1000.
You can use the conversion formula :
kilograms = cubic meters × density of the ingredient × 1000
According to the table given 1 m^3 = 1 KL = 1000 kg
Here, we are given 0.13m^3,
which means it equals = 0.13 KL
and hence it equals 0.13 * 1000 = 130kg
So, 0.13m^3 = 130 kg.
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in order to construct the perpendicular bisector of ab which statement describes the compass settings and the number of arc intersections needed
Answer:
The compass is placed at point a and point b, then two arcs are drawn respectively.
A line is drawn from the arcs passing through element being bisected.
[tex]{}[/tex]
What is the area of the trapezoid shown? Show your work
The Area of the trapezoid in the image attached below is: 204 units².
How to Find the Area of a Trapezoid?To find the area of a trapezoid, the following formula is used:
Area of trapezoid = 1/2 × (a + b) × h, where h is the height of the trapezoid, and a and b are the length of the two parallel bases of the trapezoid.
Given the trapezoid in the image attached below, we have the following parameters:
a = 10
b = 24
h = 12
Area of trapezoid = 1/2 × (10 + 24) × 12
Area of trapezoid = 1/2 × (34) × 12
Area of trapezoid = 34 × 6
Area of trapezoid = 204 units²
Therefore, the Area of the trapezoid in the image attached below is: 204 units².
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A ball is thrown up in the air from the top of a building. The function h(t) = -5t²+10t + 80 models the height of the ball, in feet, after t seconds. Graph this function.
What is the maximum height reached by the ball?
Answer:
Step-by-step explanation:
h(t)=-5t²+10t+80=-5(t²-2t+1-1)+80
=-5(t²+2t+1)+5+80
=-5(t-1)²+85
maximum height reached=85 ft
A model rocket is launched with an initial upward velocity of 126. The rocket's height (in feet) after seconds is given by the following. Find all values of for which the rocket's height is 50 feet.
At time t = 0.4191 and t = 7.456, rocket was at the height of 50 feet;
Given equation; h = 126t - 16t²;
when rocket's height is 50 feet;
126t - 16t² = 50
16t² - 126t + 50 = 0
Using quadratic formula;
t = {126 ±√(-126)² - (4)(16)(50)}/2(16)
After solving; t =0.4191 and t = 7.456
Therefore, at time t = 0.4191 and t = 7.456, rocket was at the height of 50 feet;
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I need help with add and sub poly
Answe[tex]10c^{2} +5c+4[/tex]
Step-by-step explanation:
Step 1 -(((6•(c2))-2c)-1)+((22c2+7c)+5)
Step 2-(((2•3c2) - 2c) - 1) + (4c2 + 7c + 5)
in conclusion, you get [tex]10c^{2} +5c+4[/tex]
I hoped i have helped u have a wonderful day or night !