The regression analysis evaluates the amount of relationship that exists
between the variables in the analysis.
The regression equation is; [tex]\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}[/tex]The prediction is worthwhile because it gives an idea of the observed Crash Fatality Rate and it is therefore approximately correct.Reasons:
First part;
The given data is presented as follows;
[tex]\begin{tabular}{|cc|c|}Lemon Imports (x) &&Crash Fatality Rate\\232&&16\\268&&15.7\\361&&15.4\\472&&15.5\\535&&15\end{array}\right][/tex]
The least squares regression equation is; [tex]\overline y = b \cdot \overline x + c[/tex]
Where;
[tex]b = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]
[tex]\overline y[/tex] = The mean crash fatality = 15.52
[tex]\overline x[/tex] = The mean lemon import = 373.6
Therefore;
[tex]b = \dfrac{-171.36 }{67093.2 } = -0.00255[/tex]
c = [tex]\overline y[/tex] - b·[tex]\overline x[/tex] = 15.52 - (-0.00255)×373.6 = 16.47268
Therefore;
The regression equation is [tex]\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}[/tex]Second part;
When the imports is 425 metric tons of lemon, we have;
[tex]\overline y[/tex] = -0.00255 × 425 + 16.47268 = 15.38893 ≈ 15.4
Therefore;
When the import is 425 metric tons, the Crash Fatality Rate ≈ 15.4
Given that the predicted value is between the values for 268 and 535, we
have that the prediction is approximately correct or worthwhile
The prediction is worthwhile
Learn more about regression equation here:
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Hi! im not sure if my answer is correct or not can someone check me :)
PLEASE HELP!!!! write the equation in slope-intercept form of the line that passes through (6,-11) and is perpendicular to the graph of y=-2/3x+12
Answer:
I believe the equation would be: y=3/2x-20
Step-by-step explanation:
This is true because, first you would need to find the slope from the equation, which is -2/3. But, for perpendicular, you would need to make it the exact opposite (which is this case would leave you with a slope of 3/2)
Ex: if you had -3/4, the slope for one that is perpendicular would be 4/3 (exact opposite)
After finding the slope, you take the points (6,-11) and plug it into the equation "y-y1=m(x-x1)"
y-y1=m(x-x1)
y+11=3/2(x-6)
-distribute the 3/2-
y+11=3/2x-18/2
y+11=3/2x-9
-subtract 11 on both sides-
y=3/2x-20
Im not sure if all calculations are correct, but I hope this helps! :)
Vincent saves $8 each week. How much does he save in a year?
$56
$60
$416
$2960
Answer:
$416
Step-by-step explanation:
weeks in a year is 52 weeks
52×8=416$
Help asap please!! Full work gets brainliest!!
Answer:
7,15,20
Step-by-step explanation:
Triangle side rule : The sum of the two shorter sides must be greater than the length of the largest side.
7 , 15 and 20
7 + 15 must be greater than 20 in order for 7,15 and 20 to be sides of a triangle
7 + 15 = 22
22 > 20 is true so this might be the answer but lets check the other answer choices just in case.
( we do this same process to the other answer choices )
11 , 22 and 35
11 + 22 must be greater than 35 in order for these to be side lengths of a triangle
11 + 22 = 33
33 is not greater than 35 therefore these sides lengths can not represent sides of a triangle
7, 16 and 23
7 + 16 must be greater than 23
7 + 16 = 23
23 > 23 , this is not true so this can't be the answer.
5 + 17 must be greater than 22
5 + 17 = 22
22 > 22 this is not true so this can't be the answer.
The answer is 7,15,20
What is the equation of the line that passes through the point (-6,1) and has a
slope of 1?
Answer:
y = x + 7
Step-by-step explanation:
If the slope is 1, the original equation is y = mx + b, with m being 1.
Now substitute -6 and 1 for x and y and solve for b
1 = 1(-6) + b
1 = -6 + b
7 = b
Put it all together:
y = x + 7
Can someone help me :
Need help ASP TWT……….
Answer:
C srry if im wrong
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
I assume the problem is to graph the lines. The easiest is to pick two values of x and calculate y for each line. For example:
21. y = -4x + 5 I'll randomly choose vales of 1 and 2 for x and calculate y:
(1, 1) and (2, -3)
Now mark those two points and draw a straight line through them. It is an equation of a straight line, so we know this will be correct.
22. Same process:
(1,6) and (2,7)
23. (1,0) and (2,-3)
24. (1,-4) and (2,-6)
=====================
These are shown in the attachment. What's also shown is the second method of producing the lines: Use a graphing program such as DESMOS to plot the equations. The points aren't needed - they are there to demonstrate that the first approach also works.
It’s a khan academy problem I have trouble with
What is the unit rate of scoops of high-protein food to scoops of high-fiber food if the food is made up of 80% high-fiber chimp food to 20% high-
protein food?
(answer in fraction)
Answer:
10. 31.14
10/31+14
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answer:
1 ) the slope is -2/1 y-intersept is 7 therefore y=-2/1x+7 pt's (1,3) (-3,5)
2 ) the slope is 1/1 y-intersept is -4 therefore y=1/1x-4 pt's (-3,1)(-1,3)
Step-by-step explanation:
i hope this helps if you need more or still dont understand plz let me know! <3
y =mx(+or-)b
m,slope ,rise over run .
b,y-inersept the point that of witch it crosses the y axis.
13. Xander and Kennedy have a bet to see who can get more "friends" on a social media side after 1 month. Kennedy
has 11 more friends than Xander when they start the competition. After much work, Kennedy doubles her amount
of friends and Xander quadruples (4 times) his. In the end they have a total of 232 friends.
Answer:
Xander has 140 friends
Kennedy has 92 friends
Step-by-step explanation:
Let x represent # of friends Xander has at the start
Let x+11 represent # of friends Kennedy has at the start
Let 2(x+11) rep. the final # of friends Kennedy has
Let 4x rep. the final # of friends Xander has
Total = 232
So we just need to solve for x:
2(x+11) + 4x = 232
2x + 22 + 4x = 232
6x = 210
x = 35 < - This means that xander started with 4 friends.
Sub x to find friends for each:
4x = ?
4(35) = 140 friends
2(x+11) = ?
2(35+11) = 92
A bag of fruit contains 4 apples and 2 banans 3 oranges and 5 peaches. Darlene will randomly select two piecies of fruit one at a time from the bag and not put them back what is the probabilty that the first piece of fruit Darlene secelts will be on apple and the second piece of fruit will be orange
Answer:
6/91
Step-by-step explanation:
Total number of fruits = 4 + 2 + 3 + 5 = 14
Apple: 4/14
One of the fruits have been taken from the total. 14 thus becomes 13.
There are 3 oranges
Orange: 3/13
Combine probability: 4/14 * 3/13 = 12/182 = 6/91
Two is a common factor in both 12 and 182
HELLO CAN SOME ONE WHO IS GOOD AT MATH ANSWER THIS PLEASE
Its the first equation, y < -1/3x +2
I need help with this question can someone plss help me!!
Answer:
Step-by-step explanation:
Three cups and four plates cost $18. Five cups cost $10.
All the cups cost the same and all the plates cost the same.
What is the ratio of the cost of a cup to the cost of a plate?
Answer:
the cups cost 2$ the plates cost 1.50$
Step-by-step explanation:
Which is the better buy twelve cans for7 dollors or 6 cans for 4 dollors
I will say 12 cans for 7$ because if you buy a second pair of 12 cans it will cost 14 but if you buy 6 cans for 4 dollars but another pair would be 8$,but i also depends on how much cans you will need ;)
Hope this helps :)
The better buy should be buy twelve cans for 7 dollors
Given that,
twelve cans for7 dollors or 6 cans for 4 dollors.Based on the above information, the calculation is as follows:
The first option is
[tex]= 7\div 12[/tex]
= $0.58
The second option
[tex]= 4\div 6[/tex]
= $0.67
Learn more: brainly.com/question/16911495
How does Shakespeare create an immediate mood of sadness around Romeo
Answer:
Shakespeare creates an immediate mood of sadness around Romeo because he said sad hours go by slow. also, he talks to benvolio about how sad he is
Q.
10² + 20² - 5! = ?
note : ! it's a factorial sign
Goodluck
[tex] = 10 {}^{2} + 20 {}^{2} - 5! \\ = 100 + 400 - \\ (5 \times 4 \times 3 \times 2 \times 1) \\ = 100 + 400 - 120 \\ = 500 - 120 \\ = 380[/tex]
10² + 20² - 5! = ？
Answer:-380
Explanation:-=> 10² + 20² - 5!
=> 100 + 400 - (5 × 4 × 3 × 2 × 1)
=> 100 + 400 - 120
=> 500 - 120
=> 380
Please help
Thank you
Answer:
m ∠JPN = 131°
Step-by-step explanation:
m ∠JPL = m ∠MPK Vertical angles are =
7x + 19 = 11x -17 Substitution
- 4x = -36 Algebra: Solving for x
x = 9 Algebra: Solving for x
m ∠JPL = 82° Substitution x = 9 into m ∠JPL = 7x +19
m ∠JPL + m ∠LPK = 180° Definition of linear pair/supplement
angles = 180°
82° + m ∠LPK = 180° Substitution
m ∠LPK = 98° Algebra
m ∠LPK = m ∠LPN + m ∠NPK Angle addition Theorem
PN bisects ∠LPK Given
m ∠LPN = m ∠NPK Definition of angle bisector
98 ° = 2 ( m ∠LPN) Substitution
m ∠LPN = 49° Algebra
m ∠JPN = m ∠JPL + m ∠LPN Angle Addition
m ∠JPN = 82° + 49° Substitution
m ∠JPN = 131° Addition
Calculator
What is the value of a?
Answer:
15
Step-by-step explanation:
20^2 + x^2 = 25^2
= 400 + x^2 = 625
= x^2 = 225
= x = 15
Answer:
15
Step-by-step explanation:
20^2 + x^2 = 25^2
= 400 + x^2 = 625
= x^2 = 225
= x = 15
You know what to do
If √2 = 1.414, then the value of 1/2 √16200.
please friends koi to solve kar do.
Given that √2 = 1.414
The value of (1/2)√(16200)
16200 can be written as
16200 = 2×8100
16200 = 2×2×4050
16200 = 2×2×2×2025
16200 = 2×2×2×5×405
16200 = 2×2×2×5×5×81
16200 = 2×2×2×5×5×3×27
16200 = 2×2×2×5×5×3×3×9
16200 = 2×2×2×5×5×3×3×3×3
√16200 = √(2×2×2×5×5×3×3×3×3)
√16200 = √2×(2×2)×(5×5)×(3×3)×(3×3)
√16200 = 2×5×3×3√2
√16200 = 90√2
Now,
(1/2)√16200
⇛(1/2)×90√2
⇛90√2/2
⇛45√2
⇛45×1.414
⇛63.63
Answer: Hence, value of (1/2)√(16200) is 63.63
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If √2 = 1.414 then the value of 5+√2 / 5-√2 is..
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The value of 1/2√16200 given the value of √2 = 1.414 is 63.63
How to use prime factorization to solve square rootPrime factorization of √16200
= 3 × 3 × 5 × √2
= 90√2
Given:
√2 = 1.4141/2√16200
= 1/2 × 90√2
= 90√2 / 2
= 45√2
= 45 × √2
= 45 × 1.414
= 63.63
Therefore, the value of 1/2√16200 is 63.63
Learn more about prime factorization:
https://brainly.com/question/9523814
Plz help I will answer any questions u have if u help me
Answer:
12. C
13. A
Step-by-step explanation:
Helena asked five drama club members in her homeroom how many tickets they had sold. The mean number of tickets sold was 16. Then she took ten random samples from the entire drama club of 75 students. The mean number of tickets sold was 22. 5. Compare the means. Is one sample a better representation? Explain why or why not.
The total sum of the population in the first sample is greater than the second, hence the first sample is a better representation.
The formula for calculating the mean of numbers is expressed according to to the formula;
[tex]\overline x=\frac{\sum x}{n} \\[/tex]
n is the total sample space
[tex]\overline x[/tex] is the mean of the samples
[tex]\sum x[/tex] is the sum of the variables
If the mean number of tickets sold by five drama club members was 16, then;
[tex]16=\frac{\sum x}5}\\\sum x = 16 \times 5\\\sum x_1 = 80[/tex]
If she took ten random samples from the entire drama club of 75 students with a mean number of 22.5, hence;
[tex]\sum x_2 = 75[/tex]
Since the total sum of the population in the first sample is greater than the second, hence the first sample is a better representation.
Learn more on mean here: https://brainly.com/question/21193324
Ned had 76 boxes. together the boxes weighed 723 kilograms. About how much did each box weigh
Answer: ~9.51 kilograms each.
Step-by-step explanation: 723/76=9.5131
convert the following equation into standard form. y= -5x/6+2
Answer:
5x + 6y = 12
Step-by-step explanation:
The standard form of a linear equation is Ax + By = C.
Multiply both sides by 6
6y = 6(-5x/6 + 2)
Simplify the right side
Simplify
6(−5x/6+2)
Apply the distributive property = a ( b + c ) = ab + ac
6y = 6( −5x/6) + 6 ⋅ 2
Cancel the common factor of 6
Move the leading negative in −5x/6 into the numerator
6y = 6 −5x/6 + 6 ⋅ 2
Cancel the common factor 6
Rewrite the expression
6y = −5x + 6 ⋅ 2
Multiply 6 by 2
6y = -5x + 12
Move all terms containing variables to the left side of the equation
Add 5x to both sides of the equation.
6y + 5x = 12
Reorder 6y and 5x
5x + 6y = 12
Find the roots of the equation: y^2-1/16=0
Answer:
1/4, -1/4
Step-by-step explanation:
Simply solve for y
Which kind of symmetry does the word TOOT have?
A. both vertical and horizontal line symmetry
B. vertical line symmetry, only
C. neither horizontal nor vertical line symmetry
D. horizontal line symmetry, only
The kind of symmetry that it forms is vertical line symmetry, only
What are vertical line symmetryLine of symmetry is the line that. divides a figure into two equal halves. The axis of the shape which divides the shape into two identical halves, vertically, is called a vertical line of symmetry.
According to the word given TOOT, this word can only form mirror images of each other along the y-axis TO | OT, hence the kind of symmetry that it forms is vertical line symmetry, only
Learn more on vertical line symmetry here: https://brainly.com/question/1527799
#SPJ5
Find the slope of the line that passes through (-10, -52) and (56, -37).
what is the answer??
Answer:
y= 4x+3
Step-by-step explanation:
To write your equation, solve for the slope.
(y2-y1)/ (x2-x1)
Find two coordinate points from the table.
(0,3) (1,7)
(7-3)/ (1-0)= 4
m=4
Use point-slope equation to find your equation.
(y-y1)=m(x-x1)
(y-3)=4(x-0)
y-3= 4x
y= 4x+3
