Answer:
D) y = 7x + 1
Step-by-step explanation:
Slope-incercept form is y = mx + b in which m = slope and b = y-incercept
The line crosses through (0,1), which means the y-intercept is 1
Plug the given numbers into that formula:
y = 7x + 1
Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper. The scatter plot shows the data he gathered and the line of best fit.
The equation of the line of best fit is y = 70.28x + 425.77.
Based on the line of best fit, approximately how many minutes would a student who consults 3 books spend on a research paper?
211
372
496
637
The student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.
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 type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have:
Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper.
The line of best fit is:
y = 70.28x + 425.77
Plug x = 3 in the line of best fit:
y = 70.28(3) + 425.77
y = 21.084 + 425.77
y = 636.61 minutes ≈ 637 minutes
Thus, the student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.
Learn more about the line of best fit here:
brainly.com/question/14279419
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Please help will mark as brilliant<3
What is the measure of DC?
1. 61
2. 119
3. 122
4. 360
Answer:
61 it is because it is in first
Hellppppp plzzz I’m bad at math-
3
There are 900 students in a school.
47% of the 900 students are girls.
Work out the number of girls in the school.
find the x in the given triangle, step by step explanation please
Answer:
x = 42.67
Step-by-step explanation:
x + 2x + 7 + 45 = (3 - 2) * 180
3x + 52 = 180
- 52 - 52
3x = 128
/ 3 / 3
x = 42.67
HELPPPPPPPP T^T I NEED AN ANSWER!!!! IS THE QUESATIN A OR C
Answer:
Commutative
Please, mark as brainliest
The sum of the two sides of a right angle is 16 cm. What is the length of each of the
two sides if the square of the hypotenuse is a minimum?
Answer:
4/15~15.5
Step-by-step explanation:
In a right triangle, the sum of the squares of the
lengths of the legs is equal to the square of the length
of the hypotenuse. The length of the hypotenuse is 16
and the lengths of the legs are 4 and x.
if the scientific notation is 6.1x10^4 what would it look like in standard form? MARKING BRANLIEST!!!!
Answer:
61,000
Step-by-step explanation:
Move it 4 places to the right.
Annika sells 6 inch pies for $5.00 and 8 inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8 inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8 inch pies she sold. She wrote the system below.
6 x + 8 y = 133. 2 x = y.
Which statements about the system are true? Check all that apply.
Since the cost for each pie is $5 and $9, the first equation should be 5 x + 9 y = 133.
Since the 8 inch pies are 2 inches larger, the second equation should be x + 2 = y.
Since there are fewer 8 inch pies, the second equation should be x = 2 y to balance the values.
The first equation is correct because 6x represents the money earned for 6 inch pies and 8y represents the money earned for 8 inch pies.
The second equation is correct because there are more 6 inch pies and 2 times a number is always more.
Answer:
See below!
Step-by-step explanation:
Only the first choice is accurate.
The second choice is incorrect since it doesn't accurately represent the situation described.
The third choice is incorrect since it also doesn't accurately represent the situation described.
The fourth choice is incorrect since the equation is meant to show the cost of the pies, not the size.
While the fifth choice is correct in that the second equation is accurate, the reasoning is inaccurate.
Answer
Only option 1 is correct
The following table shows the expressions that represent the sales of two companies:
Company: А B
Sales: 110(0.70)^x 430(1.90)^x
Which company has the largest percent of increase?
-Company A
-Company B
-Both Company A and Company B
-Neither Company A nor Company B
9514 1404 393
Answer:
company B
Step-by-step explanation:
The growth rate is 1 less than the growth factor. The growth factor is the base of the exponential term.
Company A
growth factor: 0.70
growth rate: 0.70 -1 = -0.30 = -30%
__
Company B
growth factor: 1.90
growth rate: 1.90 -1 = 0.90 = 90%
__
Company B has a higher growth rate than Company A. (Company A has decreasing sales, not increasing.)
Company B has a higher growth rate than Company A.
Given the equation y= X+ 9, what is the y-intercept?
A.-1/2
B.9
C.1/2
D.-9
Answer:
B
Step-by-step explanation:
9 is where you graph it first, to start your line. this would mean that it is B
exposed clout chaser
Find the inequality represented by the graph - khan academy
PLEASE HELP
Answer:
y ≤ x - 1
Step-by-step explanation:
The slope is 1 (every unit for x, there is a unit for y, rise/run is 1/1). The y-intercept is -1, because the line crosses the y-axis at -1. The graph is shaded below the line, and the line is solid, meaning that y is less than or equal to x -1, or y ≤ x - 1.
Rewrite y= 16X+64 +3 to make it easy to graph using a translation. Describe the graph.
Answer:
C
Step-by-step explanation:
Write the expression below in standard form.
3h - 2 (1 + 4h)
Answer:
-5h-2 I think this is the answer.
Step-by-step explanation:
A set of 4 consecutive integers adds up to 250. Which integers are they?
The set of 4 consecutive integers that add up to 250 are 61, 62, 63, and 64.
61 + 62 + 63 + 64 = 250
Answer:
61 , 62 ,63 , 64
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A(-6, 9), B(2, 1); Ratio 5 to 3
Given:
Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1).
To find:
The coordinates of point P.
Solution:
Section formula: If a point divide a line segment in m:n, then the coordinates of point are
[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1). Using section formula, we get
[tex]P=\left(\dfrac{5(2)+3(-6)}{5+3},\dfrac{5(1)+3(9)}{5+3}\right)[/tex]
[tex]P=\left(\dfrac{10-18}{8},\dfrac{5+27}{8}\right)[/tex]
[tex]P=\left(\dfrac{-8}{8},\dfrac{32}{8}\right)[/tex]
[tex]P=\left(-1,4\right)[/tex]
Therefore, the coordinates of point P are (-1,4).
Write an equivalent expression to 2x-1/2 - 4x + 4/3
Answer:
-4x+5/3
Step-by-step explanation:
-2x+5/6
multiply by 2
-4x+5/3
you can also check by plugging in a number for x and see if the answer is the same.
What are all equivalent expressions to 4w+7w
Answer: 11w
Step-by-step explanation: you can add 4w and 7w since they both have the variable w.
Please help me with this question I need the answer
Answer:
I think the answer is A
Step-by-step explanation:
Answer:
First of all A and B are Letters not numbers...
Answer: a-b
Step-by-step explanation:
What is the answer for - 2x + 3 > 15
Answer:
X < -6
Step-by-step explanation:
HELP ME PLEASE!!!
Martha states that –6 is a rational number. Which is a correct explanation for this statement?
The number –6 is the opposite of 6.
The number –6 is a negative integer.
The number –6 can be written as -6/1.
The number –6 is less than 0.
Yolanda, Carlos, and Keith have a total of $68 in their wallets. Keith has $8 less than Yolanda. Carlos has 2 times what Keith has. How much do they have in their wallets?
Answer:
Keith: 15, Carlos: 30, Yolanda: 23
Step-by-step explanation:
Let x be the amount of money Keith has. Then Yolanda has x+8 money and Carlos has 2x money. These all add up to 68.
x+(x+8)+2x=68
4x+8=68
4x=60
x=15
x represents how much money Keith has.
So Keith has 15 dollars, Carlos has 30 dollars, and Yolanda has 23 dollars.
JRJSOWNDNFNEOSLDNFBWKWLND
Answer:
Step-by-step explanation:
the 1 one is the right one
Answer:
A. The afternoon temperature was 5 degrees above the night temperature
Step-by-step explanation:
have a nice day
I need help!!!!
Answer:
A. 1.50 dollars per kilogram
B. 1.80 dollars per kilogram.
C. 2.10 dollars per kilogram
D. 2.40 dollars per
kilogram.
Answer:
The average rate will be 2.40 dollars per kg.
Hence, option D is correct.
Step-by-step explanation:
From the table, it is clear that the order size is located on the x-axis and the price is located on the y-axis.
The price of 100 kg cumin = $450
The price of 600 kg cumin = $1650
so
at x₁ = 100, f(x₁) = 450
at x₂ = 600, f(x₂) = 1650
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [1650 - 450] / [600-100]
= 1200 / 500
= 2.4
Therefore, the average rate will be 2.40 dollars per kg.
Hence, option D is correct.
Which statement best represents the distance on a number line between -14 and -5?
Answer:
C my dude. have a merry christmassss
Answer:
A
Step-by-step explanation:
Both are negative, and largest is always first.
Order the following numbers from least to greatest (15 Pts)
Answer:
-5.1 , -14/3, -4
Step-by-step explanation:
In the negative side of the numberline -5 is lesser than -14/3 and -4.
Also -14/3 is aproximatedly -4. 6. so its less than -4
Answer:
1. -5.1
2. - 14/3
3. -4
Explanation:
- 14/3 is equal to -4.6 repeating. We can check this by dividing 14 by 3 and adding the negative sign. So -4 is the greatest number of the numbers, and -5.1 is the least since it is the most of the negative numbers. - 14/3 would go in the middle because it isn't greater than -4 nor less than -5.1.
Hope this helps!
I hope I explained well!
I need help with number 20 please help!!!
In the diagram , A'B'C' is an image of ABC . Which rule describes this translation ?
Answer:
D is the answer
Step-by-step explanation:
5 units right and 3 units up