The explanatory variable is the car's weight, with fuel efficiency as the response variable; a likely negative association may exist, possibly linear or non-linear; a correlation like r=-0.9 or r=-0.6 is plausible; an 'unusual point' could be an outlier affecting the correlation; removing it might strengthen or weaken the correlation; converting weights to metric tons wouldn't alter the correlation.
(a) In this context, the explanatory variable is the car's weight (in pounds) and the fuel efficiency (in miles per gallon) is the response variable. This is because we are typically interested in determining the effect of a car's weight on its fuel efficiency.
(b) Based on the context, a scatterplot might show a negative association between the car's weight and its fuel efficiency. This would make sense as heavier cars often require more fuel to operate efficiently, leading to lower miles per gallon.
(c) The form of the relationship between car weight and fuel efficiency can vary. For instance, it could be linear (indicating a constant rate of change) or non-linear (indicating a rate of change that varies with weight).
(d) Without viewing the scatterplot it's not possible to definitively answer this, but based on the proposed negative relationship, a correlation of r=-0.9 or r=-0.6 would be plausible. Correlations range from -1 to 1, and a negative sign indicates an inverse relationship.
(e) An 'unusual point’ could be an outlier on the scatterplot that doesn't model the relationship between car weight and fuel efficiency like the rest of the data. This could be due to factors unique to this car, such as a highly efficient engine that gets more miles per gallon despite its weight
(f) Depending on the unique characteristics of the 'unusual point', its removal could either increase or decrease the correlation. If this point were causing the correlation to be weaker, its removal would cause the correlation to strengthen, and vice-versa.
(g) Converting the car weights to metric tons wouldn't change the correlation between weight and fuel efficiency. Correlation is unitless and depends only on the relationship between variables, not the scale they're measured on. Thus, while the specific values for weight would change, the strength, direction, and form of the relationship between weight and fuel efficiency would remain the same.
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what is the slope of the line that passes through the points (-8,-6) and (-18,6)? write your answer in simplest form.
Slope = -6/5
Work is provided in the image attached.
The slope of the line passing through the given points is -6/5.
Explanation:The slope of a line can be found using the formula: m = (y2 - y1) / (x2 - x1).
In this case, the coordinates of the two points are (-8, -6) and (-18, 6). Applying the formula, we have: m = (6 - (-6)) / (-18 - (-8)) = 12 / (-10) = -6/5.
Therefore, the slope of the line that passes through the points (-8, -6) and (-18, 6) is -6/5.
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Need help answering this!
Answer:
Wrong
Step-by-step explanation:
Since 54 / 12 is 4.5
Answer:
Step-by-step explanation:
the answer is b
PLEASEEEE ASAPP
what is g(2) = 3(2)^2 - 5(2) + 5
Answer:
Step-by-step explanation:
[tex]g(x) = 3x^{2} - 5x + 5[/tex]
[tex]g(2) = 3(2^{2}) - 5(2) + 5[/tex]
[tex]g(2) = 3(4) - 10 + 5[/tex]
[tex]g(2) = 12 - 10 + 5[/tex]
[tex]g(2) = 7[/tex]
Which of the following is a statistical question? A. How many students know how much they weigh? B. What is Kaycee's weight? C. How many students are in Kaycee's reading class? D. What are the weights of the students in Kaycee's reading class?
Three brothers earn money by doing yard work. The brothers split the money equally. Write an expression that describes how much money each brother earns.
Answer:
m/3
Step-by-step explanation:
lets say they earn $600
we will use the variable m
m=money
so....
m/3
is your answer
A printer cartridge with 2 1 ⁄2 milliliters of ink will print off 2 ⁄3 of a box of paper. How many milliliters of ink will it take to print an entire box?
Answer:
3 3/4 mls ink.
Step-by-step explanation:
2/3 of a box corresponds to 2 1/2 mls of ink
So one box .............................. 2 1/2 / 2/3 = 5/2 / 2/3
= 5/2 * 3/2
= 15 / 4
= 3 3/4 mls ink.
It would take approximately 3.75 milliliters of ink to print off an entire box of paper. This is based on the given that 2.5 milliliters prints off 2/3 of a box and the conversion to a full box.
Explanation:The question is asking about the amount of ink it will take to print an entire box of paper. We are given that a printer cartridge with 2.5 milliliters of ink will print off 2⁄3 of a box of paper. So, if 2.5 ml prints 2⁄3 of a box, we want to find out how much ink prints 1 full box. This is a simple ratio question.
Set up the ratios like this: 2.5 ml (ink) / (2⁄3 box) = X ml (ink) / (1 box) Simplifying this, you find that X = 2.5 ml / 2⁄3, which, when calculated, equals approximately 3.75 ml. This means it will take approximately 3.75 milliliters of ink to print off an entire box of paper.
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Ramona and Josh and money by babysitting the amount of food for one evening or shown on the table and graph to charge per hour
Answer:
Where's the table and graph?
Find the slope and y-intercept of the line that is y=−2/3x+5 and passes through the point (−6,4)
Use the point-slope formula.
y - y_1 = m(x - x_1)
y - 4 = (-2/3)(x + 6)
y - 4 = (-2/3)x - 4
y = (-2/3)x - 4 + 4
y = (-2/3)x + 0
y = (-2/3)x
Slope = -2/3
y-intercept = 0, which means the x-axis.
0.019 in expanded form
Answer: zero and zero nineteenth thousandths
Step-by-step explanation:
The number 0.019 in expanded form is written as 0.010 + 0.009, which represents one-hundredth and nine-thousandths respectively.
Explanation:The student is asking for the number 0.019 to be written in expanded form. Expanded form is a way to break down a number to show the place value of each digit. The number 0.019 in expanded form can be written as:
0.010 + 0.009
The first 0.010 represents one-hundredth and the second 0.009 represents nine-thousandths.
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Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?
State a conclusion that seems reasonable.
6 + 0 = 6, 8 + 0 = 8,9+ 0 = 9, 100 + = 100.
Conclusion:
Answer:
Any number plus 0 is the same as the first number.
Step-by-step explanation:
6 + 0 = 6, 8 + 0 = 8,9+ 0 = 9, 100 + 0 = 100.
Conclusion: Any number plus 0 is the number.
For example: x + 0 = x
x is the number.
Answer: 0
Step-by-step explanation:
100+0=100.
Just basic addition too. 100+0=100. That simple.
No other number can give off 100 like 0 can. 100 plus 0 just gives it the number itself.
Just like how 6+0=6. 6 is just being added to itself.
So, your answer for this is 0. No other number can give off a better answer than the 0 for this problem.
Bada bing bada boom! I hope this helps you!
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Select the table of values where the quadratic function changes direction at a different value of x than the others.
Imagine that this is a graph.
A.
x -3 -2 -1 0 1 2 3
y 2 3 2 -1 -6 -13 -22
B.
x -3 -2 -1 0 1 2 3
y 2 3 2 -1 -6 -13 -22
C.
x -3 -2 -1 0 1 2 3
y 4 3 4 7 12 19 28
D.
x -3 -2 -1 0 1 2 3
y 1 -1 1 7 17 31 49
D,the quadratic function turning point is (-2,-1) while the other graphs change direction at (-2,3)
Step-by-step explanation:
The point where the graph of a quadratic function changes direction is called a turning point.This is the point where the curve changes to face up or down according to the function.The functions in A,B and C have a common turning point (-2,3) that also appears in the table.The function in D has a turning point at (-2,-1) that is different from the other three functions.
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(20 POINTS PLZ HELP!!) plz answer all questions
(question A) What is the absulote value of |-10 + -4|
(question B) what is the absolute value of |5+2|
(question C) what is the absolute value of |--8.7|
(question D) what is the absolute value of -|-9.2|
Answer:
answer to question a is -14
answer to question b is 10
answer to question c is -56
answer to question d is -18
Step-by-step explanation:
Answer:
The answer to your question is below
Step-by-step explanation:
Absolute value of a number, is the value without considering its sign. For example, when we measure distance, we do not say -50 meters, we say "50 meters" because for distance, do not exist negative values.
(A) What is the absolute value of |-10 + -4|
| - 10 + -4| = | - 10 - 4| = | - 14 | = 14
(B) what is the absolute value of |5+2|
| 5 + 2 | = |7| = 7
(C) what is the absolute value of |--8.7|
| - - 8.7 | = | 8.7 | = 8.7
(D) what is the absolute value of -|-9.2|
- | - 9.2 | = - 9.2
Use the list method to write "The odd integers between 2 and 15". {2, 3, 5, 7, 9, 11, 13, 15} {3, 5, 7, 9, 11, 13} {3, 5, 7, 9, 11, 13, 15}
The answer would be {3, 5, 7, 9, 11, 13, 15}.
Answer:
The other answer is wrong the correct answer is {3, 5, 7, 9, 11, 13}
Step-by-step explanation:
Odyssey
(-11+ √-4) + (4+ √-36)
Answer:
[tex]-7 + 8i[/tex]
Step-by-step explanation:
[tex](-11 + \sqrt{-4}) + (4 + \sqrt{-36}) = (-11 + 2\sqrt{-1}) + (4 + 6\sqrt{-1})[/tex]
We know [tex]\sqrt{-1}[/tex] is a complex number and is defined by [tex]i[/tex]
∴[tex](-11 + \sqrt{-4}) + (4 + \sqrt{-36}) = (-11 + 2i) + (4 + 6i) = -7 + 8i[/tex]
A restaurant has 36 tables. If each can sit five people, how many can be seated at the restaurant?
Answer:
180 people
Step-by-step explanation:
If there are 5 people for each table and there are 36 tables, so then you would need to multiply 36 by 5, because you wouldn't want to add 5 people 36 times lol, so then when you multiply them together, you would get 180 people in total in the restaurant. :-)
hope this helped! ♡
Find the area of the shaded region. All angles are right angles.
Answer: 147
Step-by-step explanation:
First, 9 x 4 = 36
Again, 9 x 4 = 36
Finally 15 x 5 = 75
So, 36 + 36 + 75 = 147
9. Isidro wants to purchase a used scooter that costs $79.95, The Sales
tax is found by multiplying the price of the scooter by 0.065. Find
the total amount of money Isidro will pay. Round to the nearest cent.
Answer:85.15
Step-by-step explanation:
what is the value of the expression -2(3x-2)+x+9 when the x=-3?
Value of expression at x = -3 is 28.
What is linear equations?All the mathematical equations which have any variable and constant in them are linear equations where variables are not fixed.
Given expression -2(3x-2)+x+9 at x=-3
simplify equation
-6x+4+x+9 = -5x+13
substitute x= -3
-5(-3)+13 = 15+13= 28
Hence the value at x= -3 is 28
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Can u help me to simplify this expression 36+6÷3+2
Answer: 40
Step-by-step explanation: You need to divide first because of the order of operations. This gives you 36+2+2, which is 40
Answer:
The correct answer is 40
Step-by-step explanation:
When solving use PEMDAS
"Please excuse my dear aunt sally"
there are no parentheses or exponents so look for and multiplication or division and you see that there is division so solve:
6÷3 = 2
Then look for addition or subtraction and solve:
36+2+2=40
the answer is 40.
Have a blessed day.
3. Students in a sixth-grade class were asked which team was their favorite. The results are shown in the table. Find the ratio of students who preferred the Buccaneers to the total number of responses.
Answer:
37:103
Step-by-step explanation:
First, you have to identify how many people preferred the Bucaneers. That would be 74.
Secondly, you have to figure out the total number of responses. To do this, you add up ALL of the responses. They key word TOTAL is telling you this.
Thirdly, you write it as a ratio. This can be with the two numbers side by side, a fraction, or in a written response.
Lastly, you simplify your final answer.
Hope this helped!
Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle.
Which statements describes how the location of segment EG affects the area of EFGH?
A.) the area of EFGH is 1/4 of the area of the rectangle if E and G are not midpoints
B.) The area of EFGH is 1/2 of the area of the rectangle only if E and G are midpoints
C.) The area of EFGH is always 1/2 of the area of the rectangle.
D.) The area of EFGH is always 1/4 of the area of the rectangle.
Answer:
C
Step-by-step explanation:
EFGH is a kite, so EF ≅ FG and EH ≅ HG.
The area of the kite consists of two area of triangles EFG and EHG.
1. Area of triangle EFG:
[tex]A_{\trangle EFG}=\dfrac{1}{2}\cdot EG\cdot h,[/tex]
where h is the height drawn from point F to the side EG.
1. Area of triangle EHG:
[tex]A_{\trangle EHG}=\dfrac{1}{2}\cdot EG\cdot H,[/tex]
where H is the height drawn from point H to the side EG.
3. Note that
[tex]EG \cong \text{rectangle's length}[/tex]
[tex]h+H\cong \text{rectangle's width}[/tex]
So,
[tex]A_{\text{kite }EFGH}\\ \\=A_{\triangle EFG}+A_{\triangle EHG}\\ \\=\dfrac{1}{2}\cdot EG\cdot (h+H)\\ \\=\dfrac{1}{2}\cdot \text{rectangle's length}\cdot \text{rectangle's width}\\ \\=\dfrac{1}{2}A_{\text{rectangle}}[/tex]
Thus, option C is true (the area of the kite doesn't depend on ratio in which points E and G divide the side)
Answer:
C.) The area of EFGH is always 1/2 of the area of the rectangle.
Step-by-step explanation:
How much money should you invest in a savings account that pays 2.25% interest compounded quarterly to have a balance of $1,196.61 after 8 years
[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill&1196.61\\ P=\textit{original amount deposited}\\ r=rate\to 2.25\%\to \frac{2.25}{100}\dotfill &0.0225\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &8 \end{cases}[/tex]
[tex]\bf 1196.61=P\left(1+\frac{0.0225}{4}\right)^{4\cdot 8}\implies 1196.61=P(1.005625)^{32} \\\\\\ \cfrac{1196.61}{(1.005625)^{32}}=P\implies 999.9969 \approx P[/tex]
Use the work shown below to write the equation for a line that has a slope of and passes through (15, –2). y = mx + b What is the equation of the line in slope-intercept form?
Answer:
y = -2
Step-by-step explanation:
You would use the Point-Slope Formula since we are given a point:
y - y₁ = m(x - x₁)
y + 2 = 0
y = -2
Because there was no rate of change [slope] given, it was automatically assumed to be a zero slope, which is a horizontal line.
I am joyous to assist you anytime.
Answer:
D
Step-by-step explanation:
y = -2/5x+4
Hope I helped all you have to do is subsitute the values for m and b!
Kendra wants to know the average height of the 30,000 ninth grade students in Florida. She randomly selects 1,000 ninth graders in Florida, assuring that the group accurately represents all ninth grade students in Florida. Kendra finds their average height to be 65 inches. What assumption can be made regarding the approximate average height of all ninth grade students in Florida?
Based on Kendra's random selection of 1,000 ninth graders in Florida and finding their average height to be 65 inches, we can make the assumption that the approximate average height of all ninth-grade students in Florida is close to 65 inches.
We have,
The assumption is based on the principle of random sampling, where a representative sample from a larger population can provide valuable insights into the characteristics of the entire population.
By randomly selecting 1,000 ninth graders, Kendra aimed to ensure that the group accurately represents all ninth-grade students in Florida.
While there might be some variation or margin of error, the average height of the sampled group can provide a reasonable estimate of the average height of all ninth-grade students in Florida.
Therefore,
Based on the random sample, we can assume that the approximate average height of all ninth-grade students in Florida is around 65 inches.
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What is 15 divided by 1/5?
Answer this ASAP THIS IS URGENT AND REALLY EASY BUT I AM DUMB AND DONT KNOW THE ANSWER SO PLEASE HELP ME ON THIS IMMEDIATELY THIS IS VERY IMPORTANT!!!!!!!!!!!!
Answer:
75
Step-by-step explanation:
Answer:75
Step-by-step explanation:
1/5=.2
15/.2=75
HELP NEEDED!!
Solve Equation.
2(x-3) +5=17
A. x=9 or x=-3
B. x=7 1/2 or x=-3
C. x= 7 1/2 or x=9
D. x= 7 1/2 or x= -9 1/2
Answer:
a
Step-by-step explanation:
Given
2| x - 3 | + 5 = 17 ( subtract 5 from both sides )
2| x - 3 | = 12 ( divide both sides by 2 )
| x - 3 | = 6
The absolute value function always returns a positive value but the expression inside can be positive or negative, that is
x - 3 = 6 OR -( x - 3) = 6
x - 3 = 6 ( add 3 to both sides )
x = 9
OR
-( x - 3) = 6 ← distribute left side
- x + 3 = 6 ( subtract 3 from both sides )
- x = 3 ( multiply both sides by - 1 )
x = - 3
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = 9 → 2|9 - 3| + 5 = 2|6| + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True
x = - 3 → 2|- 3 - 3| + 5 = 2| - 6 | + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True
Hence x = 9 or x = - 3 are the solutions → a
WENDYS PAY IS $423.00 19% OF THAT IS SUBTRACTED FOR TAXES HOW MUCH IS LEFT AFTER PAYING TAXES
Answer:
$342.63
Step-by-step explanation:
0.19 * 423 = 80.37
423 - 80.37 = 342.63
Please help me I don't know
What is the answer to 5-1/3n=-2
Answer:
21 = n
Step-by-step explanation:
[tex]5 - \frac{1}{3}n = -2[/tex]
-5 - 5
________________
-⅓n = -7
____ __
-⅓ -⅓
21 = n
* Dividing by a fraction is the exact same as multiplying by its multiplicative inverse:
[tex]\frac{-7}{-\frac{1}{3}} = -7 \times -3 = 21[/tex]
I am joyous to assist you anytime.