What is the equation of the line of best fit that Samir drew? OA. y = -x + 12 OB. O C. y = - + 18 y = -x + 12 y = -x + 18 OD.
Answer:
Answer: Choice A
y = (-2/3)x + 12
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Work Shown:
We will only focus on the two points that are on the regression line.
Those two points are (3,10) and (12,4)
Let (x1,y1) = (3,10) and (x2,y2) = (12,4)
Find the slope of the line through (x1,y1) = (3,10) and (x2,y2) = (12,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 10)/(12 - 3)
m = -6/9
m = -2/3
Plug m = -2/3 and (x1,y1) = (3,10) into the point slope formula
Solve for y.
y - y1 = m(x - x1)
y - 10 = (-2/3)(x - 3)
y - 10 = (-2/3)x + (-2/3)(-3) ... distribute
y - 10 = (-2/3)x + 2
y - 10 + 10 = (-2/3)x + 2 + 10 .... add 10 to both sides
y = (-2/3)x + 12
This matches up with what the graph shows because the regression line intersects 12 on the y axis, so the y intercept is 12.
y = (-2/3)x + 12 is in the form y = mx+b with m = -2/3 as the slope and b = 12 as the y intercept.
Durant and Westbrook are playing a three-point challenge game to improve long
distance shooting. Each time each of them makes a basket, 3 points are added to
their respective scores. Durant has 18 points and Westbrook has 12 points.
Which of the following options has the pair of explicit formulas that represents the
number of points for each player as an arithmetic sequence?
A: Durant: 18 +(n-1)(3)
B: Durant: 18-(n-1)(3)
C: Durant 18+(n-3)
D: Durant 18+3n
Answer:
I THINK ITS A
Step-by-step explan I TOOK THE TEST TODAY I DONT NOW NOTHING
1. To rent a van, a moving company charges $30 plus $0.50 per mile. Write an equation
that represents the cost as a function of the number of miles. What does the slope
represent? Find the cost of the van for 150 miles.
Answer:
Step-by-step explanation:
A football team loses 5 yards on one play and then loses 8 yards on the next play.
a. How many yards did they lose in two plays?
b. How do we represent a loss of 5 yards?
c. How do we represent a loss of 8 yards?
d. What does our addition sentence look like?
e. What is the answer to the question?
Answer:
13
-5
-8
-5+-8
Step-by-step explanation:
a ) they loose 13 yards in two plays.
b )It is represented by - 5 yards.
c) It is represented by - 8 yards.
d) Addition sentence will be ; 8 + 5 = 13
e) The answer will be 13.
It is given that a football team loses 5 yards on one play and then loses 8 yards on the next play.
We have to answer the given questions based on the provided data.
What will be the value if 2 times of 10 is added to 10 ?
The value will be ; 20 + 10 = 30.
As per the question ,
A football team loses 5 yards on 1st game and 8 yards on 2nd game.
Let's give answer to the question ;
a)
Total yards the team lost in two plays
= 8 +5
= 13
b) As the team is loosing 1st play , we can consider it as a negative value.
So ,
It can be represented by x = - 5 yards.
c) As the team is loosing in 2nd play , we can consider it as a negative value.
So ,
It can be represented by x = - 8 yards.
d) The expression for addition can be written as ;
8 + 5 = 13
e) The answer to the question will be equal to 13 yards.
Thus , we can conclude that ;
a ) they loose 13 yards in two plays.
b )It is represented by - 5 yards.
c) It is represented by - 8 yards.
d) Addition sentence will be ; 8 + 5 = 13
e) The answer will be 13.
To learn more about algebra click here ;
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Nancy has 192 golf balls.
How many dozen golf balls does she have?
Answer:
16
Step-by-step explanation:
192/12=16
hope this helps :3
if it did pls mark brainliest
Answer:16
192/12 equals 16
Mark used a number line to model dividing į by 3. He
divided the number line from 0 to 1 in 3 equal sections,
and then divided each of those sections into 2 equal
parts. Mark says ſ = 3 is į
Is his answer correct? Explain why or why not.
No, he is incorrect. Using a number line to model thirds means that each space that is 1/3 should be divided into 3 parts, not 2 parts. 6 parts divided into 3 groups gives 2 parts out of 9 parts total, so the answer is 2/9.
Answer:
No, he is incorrect. Using a number line to model thirds means that each space that is 1/3 should be divided into 3 parts, not 2 parts. 6 parts divided into 3 groups gives 2 parts out of 9 parts total, so the answer is 2/9.
Step-by-step explanation:
sample responce
It takes Daphne 25 minutes to assemble a model plane. During her work
minutes for lunch and one 15 minute break. Which inequality could Daphne use to determine the number
of model planes, p, she can assemble in her 8 hour work day?
A. 25p – 45 > 8
B. 25p + 45 2 8
C. 25p – 45 < 480
D. 25p + 45 < 480
Answer: 25p+45>= 8
Step-by-step explanation:
Will a fluoride mouthwash used after brushing reduce cavities? Twenty sets of twins were used to investigate this question. One member of each set of twins used the mouthwash after each brushing, the other did not. After six months, the difference in the number of cavities of those using the mouthwash was compared with the number of cavities for those who did not use the mouthwash. This experiment uses:
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is b
Step-by-step explanation:
The correct option is matched pair design the reason for this is because in the experiment individual(elements) are group into pairs based on a characteristics that they have in common (in this question the characteristics being a twin) and then within each group the subject a placed on different treatment , in the case of this question each twin in each group are placed on different treatment (i.e one is given the mouthwash while the other is not ).
This process which I have explained is how a matched pair design is carried out
i’ll mark brainlest! pls help! :/
Answer:
[tex]9\sqrt{2}[/tex]
Step-by-step explanation:
d = [tex]\sqrt{(5-(-4)^2+(5-(-4)^2 \\[/tex]
d = [tex]\sqrt{(9)^2+(9)^2[/tex]
d = [tex]9\sqrt{2}[/tex]
Answer:
D i think... sry if im not correct i tried my best
Step-by-step explanation:
john goes out to eat at a local restaurant the bill comes to $47.38 john wants to leave a 20% tip how much of a tip should he leave?
Answer:
$56.86
Step-by-step explanation:
Mikel wants to hire a carpenter to remodel a bathroom.
Both carpenters interviewed charge a flat fee for setting up,
plus an hourly wage. Bonzo Bathrooms charges $50 to set
up and $27 per hour. Wonder Waterclosets charges $35 to
set up and $30 per hour. For how many hours of work
would the two bathroom carpenters charge exactly the same
amount?
A)4 1/2hours
B)51/2hours
C)5hours
D)4 hours
8 tomatoes for $2 unit rate
I don't have much so please 17
You accept a job salary of $36,700. After 6 months you receive a 4% raise. What’s your new salary?
Answer 25:
Step-by-step explanation:
Looking at the equation, 5x + 6 = 46, will
x = 7 make the equation true?
Why or why not?
Answer:
This is not true so x=7 is not a solution
Step-by-step explanation:
5x + 6 = 46
Let x = 7
5*7 +6 = 46
35+6 = 46
41 = 46
This is not true so x=7 is not a solution
3. How many solutions are there to the
equation 2x^2 - 3x +12=0? Tell how
you know.
Answer:
If you're talking about solutions in general (real and imaginary solutions), there is 2, because the fundamental theorem of algebra says that the number of roots of any polynomial is the degree if it's highest power, which is 2.
If you're talking about only real solutions, there is 0. To show that, we can take the discriminant (b^2-4ac) part of the quadratic equation, and plug in the know values. We then get:
(-3)^2-4*2*12
=9-96
=-87
Remember, the discriminant will be taken the square root. Since this is negative, the answer will be imaginary. Therefore, there is no real solution.
Find each quotient in the table below.
Write your answer as a fraction or a mixed number.
Problem
Quotient
6 1/4 divided by 2
10 1/7 divided by 5
8 1/2 divided by 11
If(2p+3)(p+5)=p2 +p+,whatisthevalueof++?
Answer: (p - 1) • (5p + 3)
Step-by-step explanation: Changes made to your input should not affect the solution:
(1): "p2" was replaced by "p^2".
STEP
1
:
Equation at the end of step 1
(5p2 - 2p) - 3
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 5p2-2p-3
The first term is, 5p2 its coefficient is 5 .
The middle term is, -2p its coefficient is -2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 5 • -3 = -15
Step-2 : Find two factors of -15 whose sum equals the coefficient of the middle term, which is -2 .
-15 + 1 = -14
-5 + 3 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 3
5p2 - 5p + 3p - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
5p • (p-1)
Add up the last 2 terms, pulling out common factors :
3 • (p-1)
Step-5 : Add up the four terms of step 4 :
(5p+3) • (p-1)
Which is the desired factorization
What is the length of the line segment with endpoints (−3, 8) and (7, 8) ?
Answer:
length/distance = 10 units
Step-by-step explanation:
Use the distance formula for both points / length / magnitude, d = √((x2-x1)^2+(y2-y1)^2).
Given endpoints (-3,8) [(x1,y1)], and (7,8) [(x2,y2)], plug in the corresponding y, and x values of both coordinates, and simplify.
√((8-8)^2+(7-(-3))^2) = √(0^2+10^2) = √100 = 10
*This may be in units if the unit used is unspecified.*
_______________________________
Also since the y values of both coordinates are the same, you can just subtract the x values in the coordinates, and take the absolute value since distance/length cannot be negative.
Step-by-step explanation:
[tex]|AB | = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} [/tex]
[tex] = \sqrt{( - 3 - 7)^{2} + (8 - 8)^{2}} \\ = \sqrt{100 + 0} = 10[/tex]
Which model represents 3/4 x 1/3
Find the unknown angle measure.
Answer:
58 degrees
Step-by-step explanation:
add the 2 shown, 74+48, to get 122 all triangles add up to 180 so subtract 122 from 180 and you get 58
6. Doug has been evicted from his home. He sits on the street corner with a homemade
sign asking people to give him food. Doug is wearing only shorts and a t-shirt in the
snowy afternoon. Doug plays his harmonica in hopes of attracting some donors. One
kind soul brings him a cup of hot chocolate. A passerby yells at Doug to "Get a job!"
upsetting Doug so much that he spills the steaming hot chocolate on his leg.
Marti wants to buy a dress priced at $89.75. If the sales tax is 8%, what is the total amount she must pay for the dress?
The sum of four consecutive even integers is 308. Write and solve an equation to find the four integers.
Answer:
74,76,78, and 80
Step-by-step explanation:
If you add that it equals 308
Please answer the mushroom soup question
If L||m find the value of X
Please help me :)
Answer:
x= 12
Step-by-step explanation:
(9x -4)° +(5x +16)° = 180° (int. ∠s, L//m)
9x -4 +5x +16= 180
14x +12= 180 (simplify)
14x= 180 -12 (-12 on both sides)
14x= 168
x= 168 ÷14 (÷14 on both sides)
x= 12
plz help i need this quick consider the equation 9(x+4)=-27what value of x makes this statement true?
Answer:
x=-7
Step-by-step explanation:
6x-4=3x+4 i need help doing this
the answer would be,,..................... .................................... I have no clue AT ALL¶§§
Answer:
x = 8/3
Step-by-step explanation:
6x-4=3x+4
Subtract 3x from each side
6x-3x-4=3x-3x+4
3x-4 =4
Add 4 to each side
3x-4+4 = 4+4
3x =8
Divide each side by 3
3x/3 = 8/3
x = 8/3
Answer:
hi
Step-by-step explanation:
exact form: 8/3
decimal form:
2.6 repeating sign over six
mixed number form: 2 2/3
3x34343334445877958689
Answer:
The product would be 1.0303e+20
he pulse rates of 179 randomly selected adult males vary from a low of 43 bpm to a high of 115 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 90% confidence that the sample mean is within 3 bpm of the population mean. Complete parts (a) through (c) belo
Answer:
97
Step-by-step explanation:
Given that:
Low = 43bpm
High = 115 bpm
Error = 3
α = 90%
To find the range estimate :
Standard destviation = (high - low) / 4
Standard deviation = (115 - 43) / 4
Standard deviation = 72/4 = 18
The sample size,(n) :
n = [(Zα/2 * sd)/E] ²
2 - tail = (Zα/2) = 1.645
[(Zα/2 * sd)/E] ² = [(1.645 * 18) / 3]² = (29.61/3)²
= 97.41
Sample size = 97
what is the approximate circumference pf the circle shown below?
Answer:
A: 20pi
Step-by-step explanation:
c=2(pi)r
c=2(pi)(10)
c=20(pi)
c=62.8