The linear regression equation is y = 0.50x - 0.36
How to determine the linear regression equation?The proper format of the table of values is:
Number of tv commercials, x: 13 6 12 14 17
Car sales, y (in hundreds): 3 2 8 9 7
Next, we determine the linear regression equation using a graphing calculator.
From the graphing calculator, we have the following summary:
Sum of X = 62Sum of Y = 29Mean X = 12.4Mean Y = 5.8Sum of squares (SSX) = 65.2Sum of products (SP) = 32.4The regression equation is the calculated as:
y = bx + a
Where
b = SP/SSX = 32.4/65.2 = 0.49693
a = MY - bMX = 5.8 - (0.5*12.4) = -0.36196
Substitute these values in y = bx + a
y = 0.49693x - 0.36196
Approximate
y = 0.50x - 0.36
Hence, the linear regression equation is y = 0.50x - 0.36
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can someone please help me?
We have the equation of a line:
[tex]y=-\dfrac{5}{4}x-1[/tex]
The formula of a slope of a line passes through points A, B:
[tex]A(x_A,\ y_A),\ B(x_B,\ y_B)\\\\m=\dfrac{y_B-y_A}{x_B-x_A}[/tex]
Complete the table:
Put the values of x to the equation of a line and calculate the value of y:
[tex]x=0\\\\y=-\dfrac{5}{4}\cdot0-1\\\\y=-1\\\\\\x=4\\\\y=-\dfrac{5}{4}\cdot4-1\\\\y=-6[/tex]
Substitute to the formula of a slope:
[tex]m=\dfrac{-6-(-1)}{4-0}\\\\m=\dfrac{-6+1}{4}\\\\\huge\boxed{m=-\dfrac{5}{4}}[/tex]
PLEASE ANSWER ASAP!!!!!!
What is the component form of the vector represented by 2a when a⃗ =<−2,3>?
Enter the answer in the boxes.
2a= <__,__>
The complete question is
"What is the component form of the vector represented by 2a when a =⟨−2,3⟩?"
The Component form of the vector represented by 2a is (-4,6)
What is the component form of a vector?The component form of a vector is represented by (x, y) that has gone x units left to the origin and y units up from the origin.
Given, a=(-2,3)
By using scalar multiplication,
2a = (2(-2), 2(3))
2a = (-4,6).
Therefore the component form of 2a=(-4,6)
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If 4y = 3x - 1, then x = ?
Answer:
[tex]x = \frac{4y + 1}{3} [/tex]
The goal is to isolate the X value. So the first step would be to add 1 to both sides, making the equation 4y + 1 = 3x.
Then you divide both sides by 3, making the equation (4y + 1)/3 = x
If you have a Y value then you'd plug it in for Y and solve for x but since there isn't one provided you're done.
The cost of the toy is expressed by the function y = 3x + 5, where x is the number of toys. If Peter bought 8 toys, find the cost of the toys.
Answer: If Peter bought 8 toys, the cost of the toys will be 29.
From the equation, y = 3x + 5, they have given the value of x as eight. So if we put eight in the equation and solve it, we will get the value of y. I believe there are some errors in the question as it doesn't specify that y is the cost. Also cost requires some sort of unit, which is not given in the context. I can't really tell if it is dollars or rubles or pounds etc. So I just gave it as the way it is. Since no other clues are given, this is most likely it.
y = 3x + 5
y = 3(8) + 5
y = 24 + 5
y = 29
∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
hope it helped
┗━━━━━━━┛
Given line AC is tangent to circle O.
If m(arc BY)= 44, enter the m∠YAC.
(The figure is not drawn to scale.)
The measure of <YAC from the figure is. 68 degrees
Circle theoremThe given figure is made up of line and angles.
Since the line AC is tangential to the circle, hence <BAC = 90 degrees and;
<BAY + <YAC = 90degrees
Determine the measure of <BAY
<BAY = 1/2(arcBY)
<BAY = 1/2(44)
<BAY = 22degrees
From the expression above;
<YAC = 90 - 22
<YAC = 68 degrees
Hence the measure of <YAC from the figure is. 68 degrees
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can someone please help and explain its due in a littleee
Answer:
Step-by-step explanation:
If x is increased by 25% then, by what % is x² increased
By analytical methods and algebraic handling and on the basis that x is increased by 25 %, we conclude that the variable x² is increased by 18.75 %.
How to determine the percentage increase rate
In this case we have a linear variable x, whose increase is described by the following expression:
y = x · (1 + r/100) (1)
Where r is the increase rate.
If we square (1), then we find that:
y² = x² · (1 + r/100)² = (1 + r'/100) (2)
Where r' is the equivalent increase rate.
(1 + r/50 + r²/10000) = (1 + r'/100)
r'/100 = r/50 + r²/10000
r' = r/2 + r²/100
If we know that r = 25, then the equivalent increase rate is:
r' = 25/2 + 25²/100
r' = 18.75
By analytical methods and algebraic handling and on the basis that x is increased by 25 %, we conclude that the variable x² is increased by 18.75 %.
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What is the range of the function shown
in the graph?
The interior angle of the regular pentagon below measures 108°, and the
pentagon has rotational symmetry. What is the following measure of
an interior angle after a 90° rotation around the point of symmetry?
Wendy and two friends went out to eat and decided they would split the bill. The total bill was 35.40. They also decided to leave a 20% tip. What is the price that each person paid?
Answer:
14.16
Step-by-step explanation:
we first calculate the total amount of money paid, which is 35.40 plus 20%, we use this calculation:
35.40×1.20 = 42.48
now, this amount is split to 3 people, so:
42.48/3 = 14.16
and that is our answer
what is the value of k? ____ units
Answer:
2
Step-by-step explanation:
Corresponding sides are proportional in these similar triangles.
__
short side/long side = k/4 = 4/8
k = 4(4/8) . . . . multiply by 4
k = 2
_____
Additional comment
The lengths of the hypotenuses can be found the same way, or using the Pythagorean theorem. Using side ratios, we have ...
l² = k(k+8) = 2(10) = 20 . . . . from MN/MO = ML/MN
l = 2√5
m² = 8(8+2) = 80 . . . . from LN/LO = LM/LN
m = 4√5
The similarity statements are ...
ΔLMN ~ ΔLNO ~ ΔNMO
PLEASE HELP ME, I BEG OF YOU TO HAVE MERCY ON MY POOR SOUL
1. Calculate the slope of the trend line. (Choose two points on the line and find vertical change over horizontal change.)
2. Using the slope and y-intercept, write the equation of the trend line (y = mx + b).
3. Choose a "calories from fat" value that is not in your collected data set and that is at least 10 fat calories away from any collected value. Use the equation calculated in step to predict the number of fat grams in an item having that number of fat calories. Be sure to show your work.
4. Search for an item in a fast food menu having the same number of fat calories as the one you chose above. (If you cannot find the exact value, get as close as you can.) Compare the calculated value from step VI to this actual value. Explain why (or why not) you would have expected your prediction (calculated value) to be close to the actual value.
The regression line is y = 10x + 300, and the value of calories is 90 and when x = 14 the value of y = 440 from the regression line, but the actual value is 330.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph.
It's a kind of linear regression that uses scatter data to figure out the best way to define the dot's relationship.
From the data given, we can write the slope and y-intercept form:
y = mx + b
here, m = 10 and b = 300
y = 10x + 300
The number of fat grams in an item has that number of fat calories.
As we have the regression line:
y = 10x + 300
Put x = 1 in the regression line:
y = 10(1) + 300
y = 310 calories
For x = 14
y = 10(14) + 300 = 440
But the actual value from the graph is 330.
Thus, the regression line is y = 10x + 300, and the value of calories is 90 and when x = 14 the value of y = 440 from the regression line, but the actual value is 330.
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x = √3 + √2/ √3 - √2
y = √3 - √2/ √3 + √2
Find x² + y²
Answer: 98
Given following:
[tex]\Longrightarrow \sf x = \dfrac{\sqrt{3} +\sqrt{2} }{\sqrt{3} - \sqrt{2} }[/tex]
[tex]\Longrightarrow \sf y = \dfrac{\sqrt{3} -\sqrt{2} }{\sqrt{3} + \sqrt{2} }[/tex]
Solve for x² + y²:
[tex]\rightarrow \sf \left(\:\dfrac{\sqrt{3}\:+\sqrt{2}\:\:}{\sqrt{3}\:-\:\sqrt{2}\:}\right)^2\:+\:\left(\dfrac{\sqrt{3}\:\:-\sqrt{2}\:\:}{\sqrt{3}\:+\:\sqrt{2}\:\:}\:\right)^2[/tex]
simplify following
[tex]\rightarrow \sf 49+20\sqrt{6}+49-20\sqrt{6}[/tex]
add/subtract similar terms
[tex]\rightarrow \sf 98[/tex]
If 2 inches is 5 centimeters, which of following is correct?
Unit conversion is a way of converting some common units into another without changing their real value. The correct option is D.
What is unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
The complete question is mentioned in the below image.
Given that 2 inches are 5 centimeters. Therefore, the ratio of an inch to centimeters are,
2 inches = 5 centimeters
1 inch = 5/2 centimetes
Now, if using the ratio, the measurements are converted then,
A.) 7 inches = 7 × (5/2)centimeters = 17.5 centimetes
B.) 5 inches = 5 × (5/2)centimeters = 12.5 centimetes
C.) 8 inches = 8 × (5/2)centimeters = 20 centimetes
D.) 3 inches = 3 × (5/2)centimeters = 7.5 centimetes
As it can be observed that the correct statement is D If 2 inches is 5 centimeters, then 3 inches is 7.5 centimeters. Hence, the correct option is D.
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There is a swimming pool which has a length of 15 m and a width of 12 m. There is a 2 m wide path around the pool. If the cost of the path is $5 per , what is the cost of the path? Use words, numbers, and/or symbols to justify your answer.
The cost of the path around the swimming pool with length 15m and width 12m is $1,190
Area of a rectangleLength = 15mWidth = 12mPathway with 2m wide:
Length = 15m + 2m = 17mWidth = 12m + 2m = 14mArea of the path = length × width
= 17m × 14m
= 238 square meters
Cost of the path = $5 per square meterTotal cost of the path = 238 square meters × $5
= $1,190
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In studies that use more than one data collector, how is the consistency of the data evaluated?.
The way that the consistency of data is evaluated if more than one data collector is used is; Inter - rater reliability
How to find consistency in data research?When researching data about anything, it is pertinent to note that sometimes, we have to use more than one data collector just to get a more thorough result which only one person may not be able to generate.
Now, the way that consistency of data is evaluated when more than one data collector is used is via Inter-rater reliability. This is because Inter-rater reliability is the extent to which two or more raters or observers agree.
The benefit of Inter-rater reliability is that It addresses the issue of consistency of the implementation of a rating system. Inter-rater reliability can be evaluated by using a number of different statistics.
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answer it please!!!!
Answer:
the answer is B
Step-by-step explanation:
I used photo math it shows the correct answer
Answer:
2nd one (B)
Step-by-step explanation:
What is the area of this trapezoid?
340 cm²
427.5 cm²
440 cm²
487.5 cm²
Answer:
440cm²
Step-by-step explanation:
*Area= (a+b)/2×h
(19+25)/2*20
= _ * 440cm². *_
Answer:
440cm²
Step-by-step explanation:
I believe its right
Mr. Sanchez’s class sold fruit pies for $1.73 each and Mr. Kelly’s class sold bottles of fruit juice for $1.44 each. Together, the classes sold 83 items and earned $130.83 for their school. Write and solve a system of equations that models this problem. Show all your work.
Answer:
p = 39 f = 44
Step-by-step explanation:
p = $ 1.73
f = $ 1.44
equation
p + f = 83
1.73 p + 1.44 (83 - p) = $ 130.83
p = 39 (amount of times fruit pies were sold).
Therefore,
p = 39
f = 44
What is the area of Vivian’s garage door?
The area of Vivian’s garage door is 62.5 square feet
Area of composite shape.The Vivian garage is made up of a trapezoid and a rectangle. The area of the door is expressed as;
Area = Area of rectangle + area of trapezoid
Area = (5 * 8) + 0.5(7 + 8)*3
Area= 40 +22.5
Area = 62.5 square feet
Hence the area of Vivian’s garage door is 62.5 square feet
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L 1.9.3 Test (CST): Foundations of Geometry
Question 19 of 25
Which of the diagrams below represents the statement "If it is a tree, then it
has leaves"?
has leaves
tree
Figure A
O A. Figure A
OB. Figure B
tree
has leaves
Figure B
Figure A is a diagram which represents the statement "If it is a tree, then it has leaves."
How to analyze and interpret the diagram?In figure A, we can observe that the subset representing "trees" lie inside another subset which represents "has leaves." Thus, we can logically deduce that the statement "All trees have leaves" and "if it is a tree, it has leaves" is represented by figure A.
On the other hand, we can observe that the subset representing "has leaves" lie inside another subset which represents "trees," which contradicts the given statement "If it is a tree, then it has leaves."
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What is the value of the expression below?
27−−√3
A
3
B
9
C
24
D
81
Answer:
I don't see a correct answer. See below.
Step-by-step explanation:
Thanks for clarifying the question. But if 27√3 is the correct expression, I don't see an answer option that fits.
√3 = 1.732
27*(1.732) = 46.77
But all the answer options are whole numbers. The presence of√3 makes it difficult to find an expression that would result in a whole number. Expressions such as:
27/√9 = 9, or
√27/√3 = 3
would be more consistent with producing a whole number result.
I hope this helps.
I need to know which ones are parallel and which ones are perpendicular and the steps thank youu
Answer:
If both equations have the same slope, they are said to be parallel.
If an equation is the reciprocal of another equation (meaning flipped denominator and numerator as well as flipped +/- sign) they are said to be Perpendicular.
Hope it helps!
PLEASE ANSWER ASAP!!!!!!
The function f(x)=−6sin(7/3x+1/6)−5 models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit.
Over what range of temperatures does the average rate of change in temperature fall?
Enter a value in each box to correctly complete the statement.
The range in the average rate of change in temperature of the substance is from a low
temperature of ____ F to a high of ________ F
The range in the average rate of change in temperature of the substance is from a low temperature of 1 F to a high of -11 F.
What is a formula for Fahrenheit?The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) ;
°F = (9/5 × °C) + 32.
Given function:
f(x)= -6 sin(7/3 x+ 1/6) -5
The function will be maximum at the 7/3 x +1/6= 3π/2
So, the maximum temperature will be
= -6 sin (3π/2) -5
= 6 -5
= 1 F
The function will be minimum at the 7/3 x +1/6= π/2
Therefore, the maximum temperature will be
= -6 sin (π/2) - 5
= -6 -5
= -11 F
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Which is a nonlinear relationship
Answer:
D. 4
Explanation:
Linear relationship refers to relationships which give straight lines when graphed. All the segments, except segment 4, show straight-line, linear relationships.
As section 4 is curved, it show nonlinear relationship.
Solve the following equation, and check your solution. Be sure to show all work in order to receive full credit.
Solve -17 + n/5 = 33.
Answer:
n = 250
See solution and check blow.
Step-by-step explanation:
Solution:
-17 + n/5 = 33
Add 17 to both sides.
-17 + 17 + n/5 = 33 + 17
n/5 = 50
Multiply both sides by 5.
n/5 × 5 = 50 × 5
n = 250
Check:
-17 + n/5 = 33
Since we found out that n = 250, substitute 250 for n in the equation.
-17 + 250/5 = 33
Simplify the left side. Divide 250 by 5.
-17 + 50 = 33
Add on the left side.
33 = 33
Since 33 = 33 is a true statement, the solution n = 250 is correct.
PLS HELPPPP I NEED AN ANSWER ASAP WILL GIVE BRAINIEST
What are the alternate exterior angle pairs in the picture below?
∠1 and ∠2, ∠7 and ∠8
∠1 and ∠8, ∠2 and ∠7
∠1 and ∠7, ∠2 and ∠8
Answer:
∠1 and ∠2, ∠7 and ∠8
Answer:
∠1 and ∠7, ∠2 and ∠8
Step-by-step explanation:
just took the quiz
pleasee help with these functions
By applying a composition of f(x) = - (1/2) · x² + 5 · x with respect to g(x) = x² + 2 and evaluating the resulting expression at x = - 2, the value of f(g (-2)) is 12. (Correct choice: C)
How to evaluate a composed function
Let be f and g functions, there is a composition of f with respect to g when the input of the former is substituted by the output of the latter. It is to notice that composition is a binary operation between functions.
If we know that f(x) = - (1/2) · x² + 5 · x, g(x) = x² + 2 and x = -2, then the composed function evaluated is:
f(g (x)) = - (1/2) · (x² + 2)² + 5 · (x² + 2)
f(g (- 2)) = - (1/2) · 6² + 5 · 6
f(g (- 2)) = 12
By applying a composition of f(x) = - (1/2) · x² + 5 · x with respect to g(x) = x² + 2 and evaluating the resulting expression at x = - 2, the value of f(g (-2)) is 12. (Correct choice: C)
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please answer I've got 10 mins
100 POINTS FOR BRAINLIEST
Determine if the two expressions are equivalent and explain your reasoning.
3(4n) + 2 + 6n and 13n + 2
Answer:
3(4n) + 2 + 6n
12n + 2 + 6n
12n + 6n + 2
18n + 2 is not equal to 13n + 2
hence both the expression are not equivalent
Which of the following values would complete the ordered pair if the point is on the graph of ƒ(x) = -2x + 3?
Answer:
There are no "following values" in the problem.
Step-by-step explanation:
ƒ(x) = -2x + 3
For any value of X, enter that number in the equation and calculate f(x) [y].
For example, if x is 2:
ƒ(x) = -2x + 3
ƒ(2) = -2(2) + 3
y = -2(2) + 3
y = -4+3
y = -1
The ordered pair for when x=2 would be (2,-1)
