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
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explain how to plot the point (-5.5, 3) and identify which quadrant it is in
Answer:
well -5.5 is the left side of the graph then goes up 3 y which brings you to the -x positive y quadrant or the top left quadrant which is quadrant 2
Carol wants to make a sculpture using brass and aluminum, with the dimensions shown below, Aluno Bree The area of the aluminum section can be found using the equation 1 1 А zah - 1 3 bh 2 Which of the following shows the aluminum section's area formula solved for me A h=2A(a - b) B. 2A h= ab С. A h= 2(a - b) D. h Ala-b) 2
The aluminum section's area formula solved for h is [tex]h =\frac{A}{a - b}[/tex]
From the complete question, the expression of the area (A) in terms of variables a, b and h is:
[tex]A = ah - bh[/tex]
Factor out h from the expression on the right-hand side
[tex]A = h(a - b)[/tex]
Divide both sides of the equation by (a - b)
[tex]\frac{A}{(a - b)} = h[/tex]
Remove the bracket
[tex]\frac{A}{a - b} = h[/tex]
Rewrite the above equation as follows:
[tex]h =\frac{A}{a - b}[/tex]
Hence, the aluminum section's area formula solved for h is [tex]h =\frac{A}{a - b}[/tex]
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Answer these also with standard pls
a. Slope 2 and y-intercept 3
Slope-intercept form: [tex]\bold{y=2x+3}[/tex]
Standard form: [tex]\bold{2x-y=-3}[/tex]
b. Slope [tex]\frac{3}{5}[/tex] and y-intercept -6
Slope-intercept form: [tex]\bold{y=\frac{3}{5}x-6}[/tex]
Standard form: [tex]\bold{3x-5y=30}[/tex]
c. Slope [tex]-\frac{3}{2}[/tex] and y-intercept 9
Slope-intercept form: [tex]\bold{y=-\frac{3}{2}x+9}[/tex]
Standard form: [tex]\bold{3x+2y=18}[/tex]
d. Slope -3 and y-intercept 0
Slope-intercept form: [tex]\bold{y=-3x}[/tex]
Standard form: [tex]\bold{3x+y=0}[/tex]
For which of the following geometric series can the infinite sum be determined? a1 = –0.25, r = –3 a1 = 0.75, r = 4 a1 = 3, r = 2 a1 = 5, r = –0.5
So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.
For a geometric series the infinite sum is given by s = a/(1 - r) where a = first term, r = common ratio and |r| < 1.
For each of the geometic series given below, we need to determine if |r| < 1.
For a₁ = -0.25, r = - 3, |r| = |-3| = 3 > 1
For a₁ = 0.75, r = 4, |r| = |4| = 4 > 1
For a₁ = 3, r = 2, |r| = |2| = 2 > 1
For a₁ = 5, r = -0.5, |r| = |-0.5| = 0.5 < 1
Since we require |r| < 1 to find the infinite sum and |r| in the last geometric series |r| = 0.5 < 1, the infinite sum can be found in the geometric series a₁ = 5, r = -0.5..
So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.
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Which statement is correct?
Answer:
The domain of the graph is all real numbers less than or equal to 0.
Hope this helps! :D
HELP! I WILL NOT TAKE SPAM ANSWERS! IF U SEND ME AA LINK I'M GONNA GET MAD!
An electrician cut 3 5/8 yards of wire into six equal sections. After cutting, how long was each piece?
Answer:
29/48
Step-by-step explanation:
3 5/8 Divided By 6= 29/48
Dividing fractions is simple if you know what to do, and how to multiply.
Here's how:
-----------------------------
1. convert any whole number or mixed number into a fraction.
6 = 6/1.
Whole number x denominator + numerator = 29/8
(3) (8) (5) (answer/original denominator)
-----------------------------
2. Keep, Change, Flip (KCF)
29 1
__ x __
8 6
With KCF, we keep the first fraction, change the division to multiplication, and flip the second fraction.
---------------------------------------
3. Multiply numerators and denominators
29 x 1 = 29
__
8 x 6 = 48
29/48 is in it's simplest form.
Hence, your answer.
Each wired piece was 29/48 of a yard.P.S - Please let me know if i made any mistakes.A line through which two points would be perpendicular to the line y = 2/5x - 5/2 ?
Answer:
Step-by-step explanation:
c
Please help me with the math below
Answer:
A. $4.25 per 1 kg of spice
B. 60 : 40 = 3 : 2
Step-by-step explanation:
200 g = 0.2 kg (÷100)
unit price formula: cost ÷ quantity
0.85 ÷ 0.2 = 4.25
set a proportion;
60 3
---- = ---
x 2
3÷60 = 0.05 2
2 ÷ 0.05 = 40
x = 40
hope this helps!
Find 20%of $2500 what is the answer
Answer:
20% of 2500 is 500
Step-by-step explanation:
Answer:
500
Step-by-step explanation:
We need to determine 20% of 2500 now and the procedure explaining it as such
Step 1: In the given case Output Value is 2500.
Step 2: Let us consider the unknown value as x.
Step 3: Consider the output value of 2500 = 100%.
Step 4: In the Same way, x = 20%.
Step 5: On dividing the pair of simple equations we got the equation as under
2500 = 100% (1).
x = 20% (2).
(2500%)/(x%) = 100/20
Step 6: Reciprocal of both the sides results in the following equation
x%/2500% = 20/100
Step 7: Simplifying the above obtained equation further will tell what is 20% of 2500
x = 500%
Therefore, 20% of 2500 is 500
A car is traveling at 55km/hr and has a mass of 1200 kg. What is the momentum of the car?
Its multiple choice:
A 21.8 km/hr
B 66,000 kg km/hr
C 21.8 kg km/hr
D 66,000 km/hr
Thank you for whoever solves this, I will make sure to add brainliest if possible
A bank account, initially with $3200, earns interest at a rate of 5.5% compounded monthly. Write an equation for the amount of money in the account at a time,x.
Answer: The compound interest formula is an equation that lets you estimate how much you will earn with your savings account.
Step-by-step explanation:
Which function has only one x-intercept at (−6, 0)?
f(x) = x(x − 6)
f(x) = (x − 6)(x − 6)
f(x) = (x + 6)(x − 6)
f(x) = (x + 6)(x + 6)
Answer:
D: f(x) = (x+6)(x+6)
Step-by-step explanation:
The function has a multiplicity of 2, meaning the factor appears twice. So, x=-6 will be the only x-intercept.
Find the specified nth term in the expansion of the binomial.
(8a + 3b)5, n = 5
Answer:
b= 1/3n - 8a/3
Step-by-step explanation:
hope that help you mark me brinilylist
1) -88 ≤ -8(x+6)
2) 43 > -5k + 3 ≥ 8
Please show work :)
[tex](1)\\\\-88\leq -8(x+6)\\\\\implies -88\leq -8x -48\\\\\implies -88+48 \leq -8x\\\\\implies -40 \leq -8x\\\\\implies \dfrac{-40}{-8} \geq x~~~~ ;[\text{Dividng by a negative number so, reverse the inequality}]\\\\\implies 5 \geq x\\\\\implies x \leq 5\\\\\text{Interval solution,}~ (-\infty,5]\\\\\\(2)\\\\43 > -5k+3 \geq 8\\\\\text{Now,}\\\\43>-5k+3\\\\\implies 43-3 > -5k\\\\\implies 40 >-5k\\\\\implies - \dfrac{40}5 <k\\\\\implies -8<k\\\\\implies k>-8\\\\[/tex]
[tex]-5k+3 \geq 8\\\\\implies -5k \geq 8 -3\\\\\implies -5k \geq 5\\\\\implies k \leq -1\\\\\text{Combine solutions,}\\\\-8<k\leq -1\\\\\text{Interval solution,}~ (-8, -1][/tex]
36069 in scientific notation
Answer
A: 3.6069 x 10^4
4 x 50 = 200
So why we do 8 divide 200 here we can just write 4 x 50 =200 ?
Answer:
You can! It's just a matter of personal choice.
Step-by-step explanation:
The Sea Lions are facing off against The Otters in fantasy football. The Sea Lions scored -12 points this
week The Otters scored -17 points this week
Which one of the following inequalities correctly compares the scores?
Choose 1 answer:
-17> -12
8
B
-12 > -17
Which one of the following descriptions is correct?
Choose 1 answer:
Answer:
the answer is b -12 is closer to being a positive number making it worth more than -17. so you're answer would be -12>-17
Please help me I have no idea what I'm doing :(
Answer:
x = (-b ± √b² - 4ac)/2a
Step-by-step explanation:
4/5=x/100 solve please
Answer:
x = 80
Step-by-step explanation:
4/5 = x/100
100 · 4/5 = 100 · x/100
100 · 4/5= x
80 = x
x = 80
Hence, The Answer is 80.
on a winter monday in nepal, the temperature was -8F. by 1 pm, it was 27F. how many degrees did the temperature change?
Answer:
35 degrees.
Step-by-step explanation:
Answer:
35 degrees
Step-by-step explanation:
27 - 35 = -8
A cell phone company charges 30 per month plus 0.07 per minute if Mr franklin cell phone bill was 59.40 how many minutes did he talk for that month
Answer:
420 minutes
Step-by-step explanation:
first I subtracted 30 from 59.4 and got 29.4
then I divided 29.4 by .07 and got 420
so there you go hope it helped
During a school race, Sonic ran around the entire track 5 times in 10 seconds. Everyone was shocked by his speed, which was equal to 321 m/s. FINISH R D In the diagram above, D = 2R. What is the radius of the round part of the track, R, equal to? Use n = 3.14. The answer should be rounded to 3 significant figures.
63.4
62.5
61.4
60.1
Step-by-step explanation:
there is no diagram here.
I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.
Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.
that means he ran 10×321 m in 10 seconds = 3210 m.
so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.
and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).
we know the formula for the circumference of a circle :
2×pi×radius
so, we have then
642 = 2×2R + 2×pi×R = R×(4 + 2×pi)
R = 642 / (4 + 2×pi) = 62.43201701...
and when using the requested "cut-off" pi = 3.14, we get
R = 642 / (4 + 2×3.14) = 62.45136187...
and that is rounded 62.5
so, the second answer option is correct.
The x and y axis are negative what's the quadrant or axis
Answer:
Need more information
If you want put a graph or explain more your question
can you identify the value of each digit ?
Answer:WHAT VALUE AND WHAT DIGIT
Step-by-step explanation:
PLSSS HELP!!
Which equation could have been used to create this graph?
y = x + 4
y = 2x
y = 4x
y = x + 2
Can someone plz help me? I really don’t get this
Answer:
D.
Step-by-step explanation:
The question is asking which expressions are the same. To find the answer, or rather confirm it, you should simplify each expression.
A. 8+(3*y) and (8+3)*y
8+3y and 11y
This cannot be the answer, when simplified they are not equal
B. (7-3)*y and 7-(3*y)
4y and 7-3y
This cannot be the answer, when simplified they are not equal
C. (6/y)+13 and 13+(y/6)
13+6/y and y/6+13
This cannot be the answer, when simplified they are not equal
D. 7+(y*5) and 7+(5*y)
7+5y and 7+5y
This is the answer, when simplified they are equal
I hoped this helped and made it easier to understand! :)
Order them from least to greatest
5(exponent 0), 5(exponent 4), and 5(exponent -5)
5^-5, 5^0, 5^4
Explanation:
5^-5 would end up being in the negatives,
5^0 would end up equaling 5 or 0
5^4 is automatically more than 5^0 because 4 is greater than 0.
Paul has thirteen coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.55. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?
A.
x + y = 13
0.25x + 0.5y = 3.55
B.
x + y = 13
0.25x + 0.05y = 3.55
C.
x + y = 13
25x + 5y = 3.55
D.
x + y = 3.55
0.25x + 0.05y = 13
Answer:
The answer is B
Step-by-step explanation:
you know that x is quarters which is .25 and you know that y is nickels which is .05
there are a total of 13 coins in the bank so x+y = 13
you also know that the 13 coins = 3.55
so plug in all that you know and the problem is
0.25x + 0.05y = 3.55
I need help with solving this with synthetic division
Answer:
Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant.
Step-by-step explanation:
Set up the synthetic division.
Bring down the leading coefficient to the bottom row.
Multiply c by the value just written on the bottom row.
Add the column created in step 3.
I NEED HELP PLEASE AND THANK YOU (asap)
Which relation represents a linear function?
A) (5,6), (3,8), (1,10), (-1, 12)
B) (-3,1), -1,4), (1,9), (3,16)
C) (-2,0), (0,1), (2,3), (4,6)
D) (7,-1), (4,-3), (1,-6), (-2,-9)
