the correct answer must be option C, which has the coordinates (5, -7), matching the centroid of the data points. Thus, the line of best fit passes through the point (5, -7).
How to find the coordinates?
To determine which point the line of best fit passes through, we need to use the fact that the line passes through the centroid of the data points. The centroid is the point (mean of x-coordinates, mean of y-coordinates).
Given that the mean of the x-coordinates is 5 and the mean of the y-coordinates is -7, the centroid is (5, -7). Therefore, we need to look for the point among the given options that has coordinates (5, -7).
The point (5, -7) is not listed as an option, but we can find the point that is closest to it.
Option A (-7,5) has the coordinates switched, so it cannot be the correct answer. Option B (7-5) is not a valid point since it is missing a comma between the x and y coordinates. Option D (-5,7) has the correct x-coordinate but the wrong y-coordinate.
Therefore, the correct answer must be option C, which has the coordinates (5, -7), matching the centroid of the data points. Thus, the line of best fit passes through the point (5, -7).
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A zoo administrator must decrease the staff size by 1/4 because of budget cuts. If the zoo employs 456 people, how many people must be dismissed?
Answer:
114 people
Step-by-step explanation:
456*.25=114
How many even k-digit numbers can be constructed out of the digits 3, 4, 5, 6, and 7?
a. Assume first that you may use the same digit again.
b. Assume that you cannot use a digit more than once.
Answer:
A. 1562 numbers , B. 130 numbers
Step-by-step explanation:
A) Using same digit again
1 digit nos = 2 ( ie 4 , 6 )
2 digit nos = 5 (ie any no) x 2 ( ie 4 ,6 )
Similarly
3 digit nos = 5 x 5 x 2
4 digit nos = 5 x 5 x 5 x 2
5 digit nos = 5 x 5 x 5 x 5 x 2
Adding all 5 equations
Total = 2 + 10 + 50 + 250 + 1250 = 1562
B) Cant use a digit more than once
1 digit nos = 2 ( ie 4 , 6 )
2 digit nos = 4 ( ie any no other than 4 or 6) x 2 ( ie 4 , 6 )
Similarly
3 digit nos = 4 x 3 x 2
4 digit nos = 4 x 3 x 2 x 2
5 digit nos = 4 x 3 x 2 x 1 x 2
Adding all five equations
Total = 2 + 8 + 24 + 48 + 48 = 130
James’ dealership pays him a commission of $500 profit on each car sold plus a flat salary of $1500 per month. Find the number of cars James sold if his total salary is $12,000 for the month.
A cookie recipe for 12 cookies calls for 4 cups of flour. How much flour is needed to make 90 cookies?
Answer:
30 cups of flour
Step-by-step explanation:
For every 12 cookies you need 4 cups of flour, which represents 1 batch of cookies. You want to figure out how many batches there are in 90 cookies. To do this you divide the total amount of cookies by the number of cookies in a batch.
90 cookies total/12 cookies/batch = 7.5 batches of cookies.
For each batch you need 4 cups of flour so you multiple the number of batches by the number of cups of flour.
7.5 batchs * 4 cups/batch = 30 cups of flour
so you need 30 cups of flour to make 90 cookies
What is the base of this Scalene triangle?
Answer: like the measurement or ?
Step-by-step explanation:
Jack and Jill are walking to school. After 20 minutes, Jack walked 4/5 mile. After 25 minutes, Jill walked 5/6 mile. What is their speed in miles per hour?
Answer: Jill: 2mph and jack: 2 2/5 I had this in my test lol and tell me if it was right for you all
The school hiking club has completed 4 out of 5 hikes so far this year. They have hiked 4.6 miles, 3.7 miles, 5.1 miles, and 2.9 miles. If their goal is to hike 20 total miles, how many miles does the last hike need to be?
1.7 miles
4.7 miles
2.7 miles
3.7 miles
Answer:
there last hike i think needs to be 7.2 miles long
Step-by-step explanation:
plz explain in a paragraph to get brainliest
Answer:
500 people took the survey.
Step-by-step explanation:
12 divided by 3 is 4 and 15 divided by 3 is 5. that means 4 of every 5 people prefer restaurants. Multiply that by 100 and you get 400 of every 500 people prefer restaurants. Hope this helps!
Please answer these questions in the image ( click image to see fully )
9) x= -7
10) x= 10
11) x= 5
12) x= 6
13) x= 4
14) x= -9
15) x= 3
16) x= 9
sorry it took so long! hope this helps!! :)
I need help with this anyone?
Answer:
c is the correct answer
In the first 1/3 hour of a snow storm, 1/12 of an inch or snow fell. If the snow continues to fall at the same rate, how many inches of snow will fall in 2 hours?
Answer: 1/2 inch
Step-by-step explanation:
1/3 of an hour 1/12 inches fell
in one hour 3/12 or 1/4 inches fell
in 2 hours 2/4 or 1/2 inches fell
Describe how you would simplify the given
expression.
Pan-talons
20xy
5x 'Y
X=0.y=0
Answer:
y^15/64x^24
Step-by-step explanation:
Dave says:
The only quadrilateral with two lines of symmetry is a rectangle.
Is Dave correct?
Explain your answer
Answer:
a rectangle is having 4 lines of symmetry but a trapezium is having 2 lines of symmetry
The quadrilateral with two lines of symmetry is a rhombus and not a rectangle. Therefore, the statement given by the Dave is not correct.
Quadrilateral- Quadrilateral is a type of polygon with closed shaped which has four sides, four angles and four vertices. The sum of this interior angle are always equal to 360 degrees.Rectangle- A rectangle is a type of polygon and closed two dimensional figure with four sides, four angles and four vertices. In the rectangle the length of the opposite side are equal. Rectangle has two lengths and two widths.Statement of the Dave- The only quadrilateral with two lines of symmetry is a rectangle-A quadrilateral with two lines of symmetry means the line about which one part of figure is mirrored to the other image. such quadrilateral with two lines of symmetry will become the rhombus shape. The shape is similar to the kite shape. Thus the above statement is not correct.
By the above discussion we conclude that the quadrilateral with two lines of symmetry is a rhombus and not a rectangle. Therefore, the statement given by the Dave is not correct.
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Find the unit price rounded to the nearest cent: $12.35 for 11 lb.
Answer:
$1.12 per lb
Step-by-step explanation:
What is the image of -1,-4 after a reflection over the x axis
The image of the point after the reflection over x axis is P' ( -1 , 4 )
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the point be represented as P
Now , the coordinates of the point P is P ( -1 , -4 )
The point P is reflected over the line x axis ,
So , when you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.
Substituting the values in the equation , we get
The image of the reflected point is P' ( -1 , - ( -4 ) )
The image of the reflected point is P' ( -1 , 4 )
Hence , the reflected point is P' ( -1 , 4 )
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5. What is the surface area of the following shape
Answer:
ummm im pretty sure you mean area.... 2d shapes dont have surface area.... but ok... also is the bottom 10? i think so.... then its 90 MARK AS BRANLIEST BCUZ I SAVED YOU
Step-by-step explanation:
1/2x6x(10+20)
1/2x6(30)
3x30
90
NEED ASAP !!
Fill in the rest of the graph ? 2 .
How can u tell when Greg was going fastest ?
Answer:
When greg has the lead
Step-by-step explanation:
justin did push ups every day this week. he did 8 push ups monday. 14 push ups on tuesday. 18 push ups wednesday. 6 pushups thursday, and 8 push ups friday. find the mean number of pushups.
Answer:
9
Step-by-step explanation:
if you list them from least to greatest, it would go: 6, 8, 8, 9, 12, 14, 18
Eliminate it one by one on each side and the middle number is 9
Answer:
The mean number is 10.8
Step-by-step explanation:
Since the mean number is the average of all numbers divided by how many there are, then 8+14+18+6+8=54. 54 divided by 5 equals 10.8.
Find the value of X
Answer:
16
Step-by-step explanation:
90=41+3x+1
Write an equation for the line that has slope -2 and passes through the point (3, - 4). SHOW YOUR WORK
Answer:
2x+y-2=0
Step-by-step explanation:
Solution
Here,
Passing point P(x,y)= (3,-4)
Slope(m)= -2
Now Equation of the line
(y - y1)=m(x - x1)(y+4) =-2(x-3)
y+4 = -2x+6
2x + y =22x +y -2 =0 which is the required equation of the line
The vertex angle of an isosceles triangle is 10 less than three times the base angles. Find each angle of the triangle.
From the picture attached,
ΔABC is an isosceles triangle.∠B ≅ ∠C
Vertex angle ∠A is 10 less than 3 times the base angles.m(∠A) = 3[m(∠B)] - 10
By applying angle sum theorem in ΔABC,
m(∠A) + m(∠B) + m(∠C) = 180°
m(∠A) + m(∠B) + m(∠B) = 180° [From equation (1)]
m(∠A) + 2m(∠B) = 180°
[3m(∠b) - 10] + 2m(∠B) = 180°
5[m(∠B)] = 180° + 10°
m∠B = 38°
Therefore, m∠B = m∠C = 38°
Substitute the value of angle B in equation (2),
m(∠A) = 3[m(∠B)] - 10m(∠A) = 3(38) - 10
= 104°
Therefore, measure of angle A will be 104°.
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They estimate that their current (older) fridge, which they got for free, costs them about $17 a month in electricity charges to operate. They found a new fridge that costs $1,050 to purchase and would cost only around $6 a month in electricity charges.
The new fridge comes with a 10-year warranty, so they assume the new fridge to last for 10 years without any extra repair or replacement fees.
If they keep their old fridge, then they assume they will need to pay around $220 sometime over the next 10 years in maintenance costs to keep it running.
(For this comparison, assume they set aside the money to maintain the old fridge right at the beginning of the 10 years, even though they probably won't need the money until several years later.)
Let x represent the number of months. Let y represent total cost in dollars.
Step 3: Apply Quantitative Tools
Set up a system of equations that could be used to help Garrett and Judy Kay decide if buying the new fridge is worth it.
Create functions that describe the total cost in dollars for each fridge.
New Fridge Total Cost Function
Step-by-step explanation:
Step one:
given
current (older) fridge
electricity charges= $17 monthly
maintenance costs= $220
let the number of months be x
and the total cost be yo
the expression for the cost for the old fridge is
yo=220+17x---------1
New fridge
electricity charges= $6 monthly
costs= $1,050
let the number of months be x
and the total cost be yn
the expression for the cost for the old fridge is
yn= 1050+6x---------2
Hence the system of equation for the situation is
yo=220+17x---------1
yn= 1050+6x---------2
Step two
for 10 years there are 12*10= 120 months
put x= 120 in both expressions and compare the total
yo=220+17(120)---------1
yo=220+2040
yo=$2,260
yn= 1050+6(120)---------2
yn=1050+720
yn=$1770
Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.
hey guys its addison ray
Answer:
what do you want answered
Step-by-step explanation:
ive heard of you but i dont know who you are. arent you on tic tac
Answer:
This isnt addison rae at all. Addison wouldnt be on this app. This is basically identity theft and if the REAL addison rae find out that you are pretending to be her she can sue you for identity theft :) have fun!
Which expression is equivalent?
Answer:
this one i can not help you on sorry
Step-by-step explanation:
110 + 3x +11 = 16x + 4 solve for x
Answer:
x = 9
Step-by-step explanation:
110 + 3x + 11 = 16x + 4
121 + 3x = 16x + 4
-3x -3x
121 = 13x + 4
-4 - 4
117 = 13x
117 ÷ 13 = x
9 = x
Check:
110 + 3(9) + 11 = 16(9) + 4
121 + 27 = 144 + 4
148 = 148
Answer:
x=9
Step-by-step explanation:
I need to know the slope ASAP
Answer:
-3/1
Step-by-step explanation:
brainliest pls
Samantha, Brooklyn, and Mary went to Bonnaroo music festival where they each attended various
concerts.
• Samantha only went to rock concerts where the sound level was normally distributed between 113
and 117 decibels.
• Brooklyn went to 4 concerts with Samantha and also went to 5 folk concerts where the sound level
was between 95 and 97 decibels.
• Mary got sick, so she only attended 2 shows - one rock concert and one folk concert.
Answer:
a, b, c
Step-by-step explanation:
Among the three girls, Samantha attended the concerts with the greatest mean sound level.
Among the three girls, Samantha attended the concerts with the greatest median sound level.
If Mary had attended an additional rock concert, the median sound level of concerts she attended would have been greater than it is now.
stream fineline lol
HELPPPP ANSWER IN 2mins AND I WILL GIVE YOU BRAINLY MASTER THING Which of the following number sentences is an example of the identity property? Select all that apply.
x 1
8.7 + 0 = 8.7
1.5 x 4 = 6
+ 11
1 + 1
Answer:
a and c
Step-by-step explanation:
what is the distance from -2 to 0 ?
Answer:
B :)
Step-by-step explanation:
x2 + 10x + 9 = 0 factor form
Answer:
11/10
Step-by-step explanation: