The line of best fit of the traffic study is a line through a scatterplot of data points which shows the relationship between the points.
How to illustrate the equation?Your information is incomplete as the table isn't given. Therefore, an overview will be given.
The least square methods is used by statisticians to arrive at the geometric equation for the line. A straight line will simply result from a simple regression of two or more independent variables.
A regression that has to do with multiple related variables lead to a curved line. The line of best fit is an important output of regression analysis.
A regression that has two independent variables will have a formula with:
y = c + b1x1 + b2x2
where,
c = constant
b1 = first regression coefficient
x1 = first independent variable
b2 = second regression coefficient
x2 = second independent variable.
In conclusion, the line of best fit expresses the relationship in a scatterplot of the data points.
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In the diagram below,EF is parallel to BC. IF BC is the twice length of ED,BD=26 and EF=14, find the length of ED. Figure are not necessary drawn to scale. State your answer in simplest ratio form if necessary.
Answer: sqrt(182)
Step-by-step explanation:
ΔEDF is congurent with ΔBDC
DE/EF = DB/BC
The length of the ED is √182.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
EF is parallel to BC.
This means,
ΔEDF is congurent with ΔBDC
So,
DE/EF = DB/BC
BC = 2ED
DB = 26
EF = 14
Now,
DE/EF = DB/BC
DE/14 = 26/2ED
2ED² = 14 x 26
ED² = 7 x 26
ED = √182
Thus,
The length of the ED is √182.
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(100 POINTS AND BRAINLIEST) Please use the answers that are given. Using the following data, calculate the mean absolute deviation
What is the mean absolute deviation for these data? DATA:
1 6 5 8 3 7 1 4 10 9
A: 9
B: 5.4
C: 5
D: 2.6
Answer:
2.42
Step-by-step explanation:
First, we need to find the mean
Add up all the number
1+6+5+8+3+7+1+4+10+9 = 54
Count up all the numbers (found in data)
10
Then, divide
54/10 = 5.4
Then find the absolute difference between each point and the mean and sum them together and divide by the number of points
((5.4-1)+(5.4-6)+(5.4-5)+(8-5.4)+(5.4-3)+(7-5.4)+(5.4-1)+(5.4-4)+(10-5.4)+(5.3-9)) ÷ 10
24.2 ÷ 10 = 2.42
2.42
Answer:
2.42
Step-by-step explanation:
HURRY I GOT ONLY 1 MIN!!!!
How are a cylinder and a prism similar?
They both have lateral faces.
They both have vertices.
They both have two bases.
They both have polygon bases.
Answer:
They both have polygon bases
Step-by-step explanation:
Hope this helps :)
The area of a rectangle is
3/8 in and the length is 5/8 What is the width?
Answer:
The width W is :
[tex]W=\frac{3}{5}[/tex]
Step-by-step explanation:
Let A be the area of the rectangle
Let L be the length of the rectangle
Let W be the width of the rectangle
______
Formula:
A = L × W
__________
[tex]\begin{aligned}A &=L \times W \\\Rightarrow W &=\frac{A}{L} \\\Rightarrow W &=\frac{\frac{3}{8}}{\frac{5}{8}} \\&=\frac{3}{8} \times \frac{8}{5} \\&=\frac{3 \times 8}{8 \times 5} \\&=\frac{3}{5}\end{aligned}[/tex]
Given the set of data below. 1 /2 , 1 /2 , 3 /2 , 3 /2
1 20 points Which statement describes an example of causation? When the wather becomes warmer, more meat is purchased at the supermarket. More people go to the mall when students go back to school. The greater the number of new television shows, the lesser the number of moviegoers. After operating costs are paid to a toy shop, as more toys are sold, more money is made.
Answer:
after operating costs are paid to a toy shop, as more toys are sold, more money is made
express the following rational algebraic expression to its simple form.show your solution
2. 3×-12/ 5× - 20
Question
express the following rational algebraic expression to its simple form.show your solution2. 3 × - 12 / 5 × - 20Answer
[tex]→ \frac{3 \times - 12}{5 \times - 20} \\ [/tex]
[tex] \sf \: solution→ \sf \: factor \: the \: expression \: \frac{7(a + b)}{ {a}^{2} - b } \\ [/tex]
[tex] \sf \red{ answer \: is→ \frac{9}{a - b}} \\ [/tex]
What is the slope of the line that passes through the points (-4, 13) and (6, -17)
please help me with B im stuck
Answer:
A = 160
Step-by-step explanation:
Formula 1/2 d1d2
1/2 (16 x 20)
320 x 1/2 OR 320/2
=160
Hope this helps :)
please help!
complete the net worth statement by determining the total assets and total liabilities. what is the net worth?
A) $178,000
B) $180,338
C) $1,052,662
D) $1,233,000
Using it's concept, it is found that his net worth is given by:
C) $1,052,662
What is the net worth of an individual?It is given by the sum of the individual assets subtracted by the sum of it's liabilities.
In this problem:
The sum of his assets is of $178,000 + $1,055,000 = $1,233,000.The sum of his liabilities is of $145,908 + $34,430 = $180,338.Hence, his net worth is given by:
Net worth = $1,233,000 - $180,338 = $1,052,662.
Which means that option C is correct.
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a rectangular shoebox has a volume of 160 cubic inches. the base of the shoebox measures 8 inches by 5 inches. how long is the shoebox?
how to compare 10.5 to 11 and 19
Answer:
Line up the decimal points. **Answer is Least to greatest: 10.5 , 11, 19**
Step-by-step explanation:
You need to line each number up.
10.5
11.0
19.0
The reason why 11 and 19 have a decimal point and zero at the end is because you need to do that in order to compare the numbers.
This problem is also a little common sense because 10.5 is the smallest, 19 is the largest while 11 is in the middle.
Answer the one you would like!
first pic no 13
sec no 14
third no 15
shjdidifjie
if the circumference of a round plate is a little over 31 inches. Estimate the diameter of the plate
Answer:
Step-by-step explanation:
diameter = circumference / π
= 31/π
= 9.9 ins to nearest tenth
What do you think scalene means ?
Answer:
When you have a scalene triangle, the angles are less than 90 degrees, same as obtuse where the angles are bigger than 90 degrees.
HELPPPP PLEASEEE!!!!!!!!!!!!!!!!!!!!
Answer:
I can't see the full question but as far as I can tell
by the picture
x=100
Cara computes the mean and variance for the set 87, 46, 90, 78, and 89. She finds the mean to be 78. Her steps for finding the variance are shown below. Variance squared = StartFraction (87 minus 78) squared + (46 minus 78) squared + (90 minus 78) squared + (78 minus 78) squared + (89 minus 78) squared Over 5 EndFraction Variance squared = StartFraction (9) squared minus (32) squared +
BACK
Answer:
The answer is 274
Step-by-step explanation:
Given;Cara computes the mean and variance for the set 87, 46, 90, 78, and 89. She finds the mean to be 78.To Find;Variance:-Now,
Definition of Variance:
Variance is the value of the squared variation of the random variable from its mean value, in probability and statistics.So,
[tex] \frac{ {(87 - 78)}^{2} + ( {46 - 78)}^{2} + (90 - 78) {}^{2} + ({78 - 78)}^{2} + ( {89 - 78)}^{2} } {5} [/tex]
[tex]Var(X) \: = \frac{1370}{5} = 274 \\ [/tex]
Thus, The variance of the sequence is 274.
Which measure would be best to estimate the amount of fabric
necessary to make an umbrella?
1) volume of a sphere
2) surface area of a sphere
3) volume of a hemisphere
4) surface area of a hemisphere
Surface area of a hemisphere would be best to estimate the amount of fabric necessary to make an umbrella.
What is hemisphere?A three-dimensional solid called a hemisphere is exactly half the size of a sphere.
To find the amount of fabric that is necessary to make the umbrella.
Since, the shape of umbrella is like hemisphere.
And to find the amount of fabric of umbrella would be equal to surface area of hemisphere.
Implies that,
Amount of fabric of umbrella = surface area of hemisphere.
Hence, option (D) is correct.
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Six right triangles are shown. Each side of each triangle is also the side of a square.
The area of the small triangle in six right triangles are shown is 1/25 units² and the area of the small square is 1 units².
What is the area of square?Area of square is the square of its sides length. It can be given as,
A=a^2
Here, (a) is the length of the side of the square
The legs of the smallest triangle is 1-1 units long. Thus, the area of this triangle is,
[tex]A=\dfrac{1\times1}{2}\\A=\dfrac{1}{2}\rm\; unit^2[/tex]
The area of small squares with side 1 is,
[tex]A=1^2\\A=1 \rm \;unit^2[/tex]
Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of other two legs of the right angle triangle.
The hypotenuse side length of this triangle is,
[tex]h=\sqrt{1^2+1^2}\\h=\sqrt{2}[/tex]
Thus, the area of the square with √2 side is,
[tex]A=\sqrt{2}^2\\A=2\rm\; unit^2[/tex]
Similarly, the area of all the squares and triangle with the different sides can be found out.
Thus, the area of the small triangle in six right triangles are shown is 1/25 units² and the area of the small square is 1 units².
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20. What is the area in square feet of the sidewalk shown
below? Round off to the next largest foot.
Answer:
it doesnt say any numbers or pictures of the question can you add them
A salesperson receives a 2.5% commission on sales what commission does the person receive for $8,000 in sales.
Answer:
8000 * 1.025 = 8200
commision = 200
Step-by-step explanation:
Need help.............................
Answer: The answer is 8
Step-by-step explanation: If you round 9 52/69 you get 10 approximately and -1 29/50 is approximately -2 so 10-2=8
Find the surface area of the triangular prism shown below.
the surface area should be 544 (whatever the unit is)
Step-by-step explanation:
You start by taking the rectangles on the side and finding their area.
1. (10×14)×2 ←Because there are two rectanglular sides.
2. find the area of the triangles on the side. 1/2bh = area of triangle.
(.5×8×6)×4 ← in order to find the area for all of the triangles.
3. lastly take the base of the prism and find the area then add the previously found values together.
(12×14)+(.5×8×6)×4+ (10×14)×2 = 544
Helppppp pls
I don’t understand I’ll give brainliest
Answer:
m∠5 = 75°
Step-by-step explanation:
Angle 2 and Angle 4 are the same as they are alternate interior angles.
Since m∠2 = 45°
We then have m∠4 = 45°
We are given m∠3 = 60°
Now, we just have to find 7∠5.
The sum of the angle of a triangle adds up to 180°.
So, m∠3 + m∠4 + m∠5 = 180°.
60° + 45° + m∠5 = 180°.
Solving for ∠5
m∠5 = 180° - (60° + 45°)
m∠5 = 180° - (105°)
m∠5 = 75°
Sloane kicked a soccer ball off the ground at a speed of 48 feet per second. the height of the ball can be represented by the function h(t) = −16t2 48t, where t is the time in seconds. how many seconds did the ball travel before returning the ground? t = 0.33 seconds t = 3 seconds t = 16 seconds t = 48 seconds
Considering the function for it's height, it is found that the ball traveled for 3 seconds before returning to the ground.
What is the function for the ball's height?The height of the ball after t seconds is given by:
h(t) = -16t² + 48t.
It is at the ground at the instants of t for which:
h(t) = 0.
Hence:
-16t² + 48t = 0
-16t(t - 3) = 0.
We want t different of 0, hence:
t - 3 = 0 -> t = 3.
The ball traveled for 3 seconds before returning to the ground.
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Answer:
3 seconds is the answer
Step-by-step explanation:
Solve the system of equations using elimination: -4x+6y = − 12 and
-x - 5y = -16.
Answer:
x=x
Step-by-step explanation:
x=x because x has the same value as x
Given that k // I, identify the congruent angles in the
triangles.
212
v
m
22
v
23
How do i solve this?
[tex]\text{Given that, f(x) = 2x+5}\\\\f(-1) = 2(-1)+5 = -2+5= 3\\\\f(2) = 2(2)+5 = 4+5 = 9\\\\f(0) =2(0)+5 = 0+5=5\\\\f(z) = 2z+5[/tex]
The total cost of 8 sharpeners and 3 sketchbooks is $26.05. If the cost of a sharpener is $a, and a sketchbook is $1.90 more expensive,
find A. Give your answer to two decimal places.
Answer:
1.85
Step-by-step explanation:
So, s (sketchbook) is a+1.90.
8a+ 3(a+1.90)=26.05
8a+3a+5.7=26.05
11a=20.35
a=1.85
Check:
8x1.85=14.8
s=11.25
Answer:
A= 1.85
Step-by-step explanation:
I made an equasion
8(a) + 3(a+1.90) = 26.05
distributed
8a+ 3a + 5.70 = 26.05
Added
11a+ 5.70= 26.05
subtracted
11a= 20.35
divided
a= 1.85
Ava invests money in an account paying simple interest. She invests $130 and no money is added or removed from the investment. After one year, she has $132.60. What is the simple percent interest per year?
well, she put 130 bucks, and then she got back 132.6 after one year, so the interest earned is 132.6 - 130 = $2.6, thus
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$2.60\\ P=\textit{original amount deposited}\dotfill & \$130\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 2.60 = (130)(\frac{r}{100})(1)\implies 2.6=\cfrac{130r}{100}\implies 260=130r \\\\\\ \cfrac{260}{130}=r\implies 2=r[/tex]
Answer:
yes
Step-by-step explanation:
