Answer:
D. 6x2 + 3x - 7
Step-by-step explanation:
An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts (a) through (d) below. Weight (pounds), x Miles per Gallon, y 3773 17 3793 16 2706 25 3645 20 3308 22 2908 24 3675 17 2687 24 3522 18 3827 16 a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable y= x+( ) A certain gas-powered car weighs 3511 pounds and gets 18 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight? The estimated average miles per gallon for cars of this weight is ( ) miles per gallon. The miles per gallon of this car is average for cars of this weight.
Answer:
y= 0.007x- 4.945
The estimated average miles per gallon for cars of this weight is (20.829 or 21 ) miles per gallon.
The miles per gallon of this car below (18 < 20.829) the average for cars of this weight.
Step-by-step explanation:
Weight Miles
(pounds), x per Gallon, y xy
3773 17 64,141
3793 16 60,688
2706 25 67,650
3645 20 72,900
3308 22 72,776
2908 24 69,792
3675 17 62,745
2687 24 64,488
3522 18 63,396
3827 16 61,232
∑y²=4075; ∑y=199; ∑x²= 116,406,174 ; ∑x=33,844 ; ∑xy=659,808
b= n∑XY - (∑X)(∑Y)/ n∑X² - (∑X)²
b=(10) (659,808) - (33,844)(199)/ 10 (116,406,174) - 1,145,416,336
b=6,598,080- 6,734,956/ 1,164,061,740 -1,145,416,336
b=136,876/18,645,404
b= 0.007341
a= Y`- bX`
a= 19.9- (0.007341) (3384.4)
a= 19.9 -24.845
a=-4.945
Y^= -4.945+ ( 0.007341) X
y= 0.007x- 4.945
Putting the values
y= 0.007x- 4.945
18 = 0.007(3511) - 4.945
18< 20.829
The estimated average miles per gallon for cars of this weight is (20.829 or 21 ) miles per gallon.
The miles per gallon of this car below (18 < 20.829) the average for cars of this weight.
how do i solve for x and y?
Answer:
X= 8 and y= 138
Step-by-step explanation:
IF ANS IS CORRECT COMMENT BACK FOR EXPLANATION
Lou cuts 2 and 1 third yards of fabric from a 9-yard roll of fabric from the roll. How much fabric is left on the roll?
Answer:
6 2/3
Step-by-step explanation:
Fabric left on the roll = total fabric on the roll - fabric cut from the roll
9 - [tex]2\frac{1}{3}[/tex] = 6[tex]\frac{2}{3}[/tex]
Plz help!! 10 points
Answer:
The answer is the second option. x = -5.873 , x = 1.873
Step-by-step explanation:
1. add 11 to both sides of the equation
x^2 + 4x = 11
2. find a value that is equal to the square of half of b
(b/2)^2 = (2)^2
3. add the term to each side of the equation
x^2 + 4x + (2)^2 = 11 + (2)^2
4. simplify the equation
x^2 + 4x + 4 = 15
5. factor the perfect trinomial square into
(x + 2)^2 • (x + 2)^2 = 15
6. solve the equation for x
x = 1.873 , x = -5.873
HOPE THIS HELPS!!
☆☆ plz mark as brainliest ☆☆
English alphabets ....letters ?
Step-by-step explanation:
a e I o u y are all vowels if that helps
PT=y,TR=x+3,QT=2y,TS=3x-1 I'm confused and u really need help. My teacher isn't the greatest and wasn't much help.
Answer:
y=10, x=7
Step-by-step explanation:
Since the diagonals of a parallelogram bisect each other, PT should be equal to TR and QT should be equal to TS. So, y=x+3 and 2y=3x-1. Multiplying the first equation by 3 gives you 3y=3x+9. Using elimination to subtract these two equations gives you y=10. And since y=x+3, substitute y=10 there. 10=x+3, x=7.
Peter says that 3/4 of a pizza is always the same as 6/8 of a pizza. Nadia says that while they are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts. Use a counter example to explain who is correct. Please I need your help. If you help you are nice and god will protect you forever.
Answer:
Nadia
Step-by-step explanation:
6/8 is 3/4 and both are 75% of a pizza but, the eighths of a pizza is a smaller slice of pizza.
4/4 is four slices of pizza
8/8 is eight slices of pizza
They are different amounts.
Will get brainliest if correct
Answer:
half
Step-by-step explanation:
Find the area of the blue shaded portion.
Answer:
its 48
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
no
marking brianliest pls help
Answer:
117.3
Step-by-step explanation:
7*4=117.29=117.3
A triangle has vertices A(-2,1), B(2,4), C(4,1).
Find the area of the triangle.
Answer: 6 units squared
Step-by-step explanation: ok here is how you do it so you make the triangle like I did and once you make it. You count the squares about how long it is and how high it is in this case I got for the base 6 and the height 2 so we multiply to get 12 also we divide 12 and 2 to get 6 units squared there you go. hope this helps.
Please help with #6 and #15. Thank you!
Answer:
its s and d
Step-by-step explanation:
Write a short definition of "photosynthesis"
Answer:
Photosynthesis, the process by which green plants and certain other organisms transform light energy into chemical energy. During photosynthesis in green plants, light energy is captured and used to convert water, carbon dioxide, and minerals into oxygen and energy-rich organic compounds.
Step-by-step explanation:
I hope this helps if it does can i get brainlist
photosynthesis is a process that occurs in plants. it is used to convert sunlight into sugar for the plant in order to create chemical energy. this energy is used to help the plant make glucose ! hope this helped ♡
Taylor is producing graphic T-shirts that
will come in three different colors. He
randomly surveys 100 people, asking which
one of the three colors they prefer. Of the
100 people surveyed,55 say that they prefer
the white T-shirt. If Taylor is going to produce
500 graphic T-shirts, about how many should
be white?
If Taylor is producing graphic T-shirts that will come in three different colors then about 275 graphic T-shirts should be white.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Since Taylor randomly surveyed 100 people and 55 of them said they prefer the white T-shirt
we can estimate the proportion of people who prefer the white T-shirt as:
p = 55/100 = 0.55
We can assume that this proportion is a good estimate of the true proportion of people who will prefer the white T-shirt among all potential customers.
To estimate the number of people who will prefer the white T-shirt among 500 potential customers
The formula for the expected value of a binomial random variable is
E(x) = np
Substituting the values, we get:
E(x) = 500 × 0.55 = 275
Therefore, about 275 graphic T-shirts should be white.
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ2
Pls Help! It would be very much appreciated, Thx!
Answer:
A. 30 two-point questions and 10 four-point questions
Step-by-step explanation:
30 multiplied by 2 equals 60
10 multiplied by 4 equals 40
60 plus 40 equals 100 points which is the amount of points the test is worth as stated i the question.
30 plus 10 equals 40, which is the total amount of questions in the test as stated in the question.
5. (5 points) You have a jar full of jelly beans. You will randomly pick 2 jelly beans without replacement.The probability that you choose 2 green jelly beans is 14/95 and the probability of drawing one green jelly been is 2/5 . what is the probability of picking a second green, given the first was green?
Answer:
7/19
Step-by-step explanation:
In order to find the probability that two events happen in a sequence you simply have to multiply the probability of each individual event together. Since the probability of the sequence is given to us as well as the probability of drawing the first green jelly bean, this means we need to divide the first probability by the probability of the sequence to get the probability of the second event. Basically, reversing the process. Dividing two fractions, we simply divide the numerators by each other and then the denominators by one another.
[tex]\frac{14 / 2}{95 / 5} = \frac{7}{19}[/tex]
Therefore, the probability of picking the second green jelly bean is 7/19
What is the following product
What should be done first to evaluate the expression?
6 + 8 ÷ 4 + (4 × 5)²
Answer:
First, follow the first step in PEMDAS so you would do the parenthesis first followed by exponents, multiplication, division, addition, then subtraction
Step-by-step explanation:
6 + 8 ÷ 4 (4*5)^2
6 + 8 ÷ 4 + 20^2
6 + 8 ÷ 4 + 400
6 + 2 + 400
= 408
I’m about to spam questions if you can answer them please do .
Answer:
id say anything between 15 to 30 i dont have the stuff i need to answer this 100% accurately
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
90 plus 40 ,then you subtract it from 180
geometry ^
please help me
Explain the difference between a line with a slope of 0 and a line with no slope.
Answer:
A line with a slope of 0 is horizontal, while a line with no slope is completely vertical.
Step-by-step explanation:
HELP DUE in 10 MINS!
DC =??
Answer:
24
Step-by-step explanation:
26^2-10^2 = 576
sqrt576 = 24
ILL WILL BRAINLIEST YOU IF YOU GET IT RIGHT
PLEASE HELP ME FIND THE DISTANCE OF THE DIAGONAL
Step-by-step explanation:
Let x be the diagonal distance,
by pythagoras' theorem,
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
where c is the diagonal
a and b are the 2nd and 3rd longest side, interchangeable.
given a = 50m, b = 25m,
[tex] {c}^{2} = {50}^{2} + {25}^{2} \\ {c}^{2} = 2500 + 625 \\ {c}^{2} = 3125 \\ c = \sqrt{3125} \\ = 55.9m \: (nearest \: tenth)[/tex]
kk where my brainliest
Step-by-step explanation:
Explanation: You can find the diagonal of a rectangle if you have the width and the height. The diagonal equals the square root of the width squared plus the height squared.
Help! The picture is with it to see the question
Answer:
8
Step-by-step explanation:
sqrt8*sqrt8 = sqrt8^2 = 8
The equation of the line shown in the graph is y = ?.
Answer:
y=5x-5
Step-by-step explanation:
we start from -5 and go rise/run so its 5
Which expression represents the volume of the prism? One-halfx3 (one-half x) cubed Five-halvesx3 (Five-halves x) cubed
Answer:
Volume = ½x³ units.
Step-by-step explanation:
From the image, we can deduce the following;
Length = x
Breadth = x
Height = ½x
To find the volume of prism;
Mathematically, the volume of a prism is given by the formula;
Volume of prism = length * breadth * height
Substituting into the formula, we have;
Volume of prism = x * x * ½x
Volume = x² * ½x
Volume = ½x³ units
Answer:
1. A- 1/2x^3
2. 168
3. 927
4A. 48
4B. 336
5. A D
6. 1 3 3
7. 12 cm
8. 8 , 4
9. B
10. A C D
Step-by-step explanation:
Use an area model to multiply (x+5)^2. Write your answer as a sum.
Not the link and if you dont answer, james charles will kiss you in the bed tonight.
Under her cell phone plan, Lily pays a flat cost of $40 per month and $4 per
gigabyte. She wants to keep her bill under $60 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Lily
can use while staying within her budget.
Answer: x < 5
Step-by-step explanation: 4x + 40 < 60
At the end of a party, there was a 1/2 pizza left over. 7 friends decided to divide the leftover pizza equally. What fraction of the whole pizza did each friend have?
Answer:
Each friend has 1/28 of the whole pizza.
Step-by-step explanation:
1/2 ÷ 7/1 = 1/14
1/14 ÷ 2 = 1/28
A veterinarian office conducted a survey of the weight of dogs that came in for physicals. 55, 37, 8, 50, 60, 50, 48 Find the outlier:
Answer:
8
Step-by-step explanation:
The outlier is the puece of data that is very different from the rest. If all of the numbers in this data were to be put on some sort of visualization, most of the numbers would be in a clump, while the 8 would be far from the clump.
the answer is 8 because when you plot the data it is the one really far away that skews the data