PLEASE HELP ASAP! Consider the scatter plot. Complete the equation that models the curve of best fit for this data.
curve of best fit: f(x)
Answers
The equation that models the curve of best fit for this data will be y = 1.4646·(1.818)ˣ.
What is an exponent?Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ
Consider the scatter plot.
Then the equation that models the curve of best fit for this data will be
At (1.2, 3), then we have
[tex]\rm 3 =ab^{1.2}[/tex] ..........1
At (4, 16), then we have
16 = ab⁴ ..........2
By solving the equations 1 and 2, we have
a = 1.4646 and b = 1.818
Then the equation will be
y = 1.4646·(1.818)ˣ
Then the graph is drawn.
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Related Questions
what is the equation of the following line? be sure to scroll down first to see all the answer options
Answers
E. y = -3x
I can give you an explanation in the comments if you'd like
Consider the two regression lines 3x+2y=26 and 6x+y=31, the regression coefficient of y on x is
Answers
The regression lines 3x+2y=26 and 6x+y=31 are linear regressions
The mean values are 4 and 7 and the correlation coefficient between x and y is 0.25
The standard deviation of x is 2/13
The mean value and the correlation
We have the equations to be:
3x+2y=26 and 6x+y=31
Make y the subject in the second equation
y = 31 - 6x
Substitute y = 31 - 6x in the first equation
3x+2[31 - 6x] = 26
Expand
3x+ 62 - 12x = 26
Collect like terms
3x - 12x = 26 - 62
Evaluate
-9x = -36
Divide by - 9
x = 4
Substitute x = 4 in y = 31 - 6x
y = 31 - 6 * 4
y = 7
This means that the mean values are 4 and 7
To determine the correlation coefficient, we make y the subject in 3x+2y=26 and x the subject in 6x+y=31.
So, we have:
y = 13 - 3x/2 and x = 31/6 - 1/6y
The above means that:
Bxy = -1/6 and Byx = -3/2
The correlation coefficient is then calculated as:
r^2 = Bxy * Byx
r = -1/6 * -3/2
r = 0.25
Hence, the correlation coefficient between x and y is 0.25
The standard deviation of x
We have:
Var(y) = 4
In (a), we have:
y = 13 - 3x/2
To solve further, we make use of:
Var(y) = Var(ax + b) = a^2Var(x)
This gives
Var(y) = Var(13 - 3x/2) = 13^2 * Var(x)
So, we have:
Var(y) = 13^2 * Var(x)
Substitute 4 for Var(y)
4 = 13^2 * Var(x)
Divide both sides by 13^2
4/13^2 = Var(x)
Express 4 as 2^2
(2/13)^2 = Var(x)
So, we have:
Var(x) = (2/13)^2
Take the square root of both sides
SD(x) = 2/13
Hence, the standard deviation of x is 2/13
Cory drinks water from a bottle during a bike ride. The average amount of water, in
ounces, in his water bottle can be represented by the equation y = -8x+32, where y is the amount of water remaining after x hours. Based on the equation, what amount of water, in ounces, will remain in the bottle after Cory rides for 2 1/2 hours?
Answers
Reason
They give you the formula
Y= -8x +32
Y is water remaining, the number we are looking for
X = 2.5 hours, insert in place of X
Y= (-8) (2.5) + 32
Y= -20 + 32
Y = 12
The amount of water will remain in the bottle after Cory rides for 2 1/2 hours will be;
⇒ y = 12 ounces
What is Equation of line?
The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The average amount of water, in ounces, in his water bottle can be represented by the equation,
⇒ y = - 8x + 32
Where, y is the amount of water remaining after x hours.
Now,
Since, The average amount of water, in ounces, in his water bottle can be represented by the equation,
⇒ y = - 8x + 32
Hence, The amount of water will remain in the bottle after Cory rides for 2 1/2 hours is,
Substitute x = 2 1/2 in above equation,
⇒ y = - 8 × 2 1/2 + 32
⇒ y = - 8 × 5/2 + 32
⇒ y = - 20 + 32
⇒ y = 12 ounces
Thus, The amount of water will remain in the bottle after Cory rides for 2 1/2 hours is,
⇒ y = 12 ounces
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A bronze statue weighs 2400 N and has a base that is 4 m by ½ m. What is the pressure the statue exerts on the floor?
Answers
The pressure by the statue exerted on the floor will be 1200 N per square meter.
What is pressure?
The term pressure is defined as the force per unit area.
The formula is igven below.
P = F /A
A bronze statue weighs 2400 N and has a base that is 4 m by ½ m.
Then the base area will be
A = 4 x 1/2
A = 2 square meters
Then the pressure will be
P = 2400 / 2
P = 1200 N per square meter.
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You invest $1000
in an account at 2.5% per year simple interest. How much
will you have in the account at the beginning of the 4th year? Round your
answer to the nearest whole dollar.
A. $1075
B. $1163
C. $3250
• D. $1088
Answers
i dont speak English 3456
Max is going to order a breakfast platter at The Breakfast Club. He can choose one style of eggs, one type of meat, and one kind of toast. The following table shows the options available to him.
Breakfast platter
Egg options Fried, Scrambled, Poached, Hard boiled
Meat options Bacon, Sausage, Ham, Steak
Toast options White, Wheat, Rye
How many different breakfast platters could Max create?
Answers
the answer is 48
Step-by-step explanation:
since there are 4 egg options 4 meat options and 3 bread options. so u multiply this.
4×3×4=48
How do you classify the following polynomial?
-4x³ + 2x² - 5x+3x²
Answers
Answer:
-4 x³+2x²-5x+3x²
combine like terms
-4x³ +5x²-5x
common factors
-1(4x³-5x²+5x)
find one factors
Ans: -x (4x²-5x+5)
1) (b + a) = 4; use a = 1 and b = 3
2) c(b + b); use b = 1 and c = 5
3) 4+ pm; use m = 4 and p =3
4) 5+ pm; use m = 4 and p = 2
5) m(p + 2); use m = 5 and p = 2
6) h+j²; use h = 1 and j = 4
7) y-(x - 5); use x = 5 and y = 6
8) 4xy; use x = 5 and y = 2
9) n(p + 3); use n = 2 and p = 2
10) y +x+x; use x = 3 and y = 5
11) 6+ a-b; use a = 4 and b = 4
Answers
Step-by-step explanation:
1). (3+1)=4
2).5(1+11)
5(2)=103).4+3(4)
4+12=16.4).5+2(4)
5+8=135).5(2+2)
5(4)=206).1+4^2
1+16=177).6-(5-5)
6-0=68).4×5×2=40
9).2(2+3)
2(5)=1010).5+3+3=11
11)6+(4-4)
6+0=6.I hope this helps. Pls mark as brainliest like and follow me
In basketball, hang time is the time that both of your feet are off the ground during a jump. The equation for hang time is t = 2 (StartFraction 2 h Over 32 EndFraction) Superscript one-half , where t is the time in seconds, and h is the height of the jump, in feet.
Player 1 had a hang time of 0.9 s. Player 2 had a hang time of 0.8 s. To the nearest inch, how much higher did Player 1 jump than Player 2?
Answers
Considering the hang time equation, it is found that Player 1 jumped 0.68 feet higher than Player 2.
What is the hang time equation?The hang-time of the ball for a player of jump h is given by:
[tex]t = 2\left(\frac{2h}{32}\right)^{\frac{1}{2}}[/tex]
The expression can be simplified as:
[tex]t = 2\sqrt{\frac{h}{16}}[/tex]
For a player that has a hang time of 0.9s, the jump is found as follows:
[tex]0.9 = 2\sqrt{\frac{h}{16}}[/tex]
[tex]\sqrt{\frac{h}{16}} = \frac{0.9}{2}[/tex]
[tex](\sqrt{\frac{h}{16}})^2 = \left(\frac{0.9}{2}\right)^2[/tex]
[tex]h = 16\left(\frac{0.9}{2}\right)^2[/tex]
h = 3.24 feet.
For a player that has a hang time of 0.8s, the jump is found as follows:
[tex]0.8 = 2\sqrt{\frac{h}{16}}[/tex]
[tex]\sqrt{\frac{h}{16}} = \frac{0.8}{2}[/tex]
[tex](\sqrt{\frac{h}{16}})^2 = \left(\frac{0.8}{2}\right)^2[/tex]
[tex]h = 16\left(\frac{0.8}{2}\right)^2[/tex]
h = 2.56 feet.
The difference is given by:
3.24 - 2.56 = 0.68 feet.
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find the perimeter.
Answers
D. 9.5 cm
To find the perimeter you need to add all the sides.
2.1 + 2.1 + 1 + 3.3 + 1 = 9.5
Step-by-Step Explanation:
Perimeter = Sum of all Sides
Therefore,
= 2.1 + 2.1 + 1 + 1 + 3.3
= 4.2 + 1 + 1 + 3.3
= 4.2 + 2 + 3.3
= 6.2 + 3.3
=> 9.5
Perimeter of the Figure = 9.5 cm
which matrix equation has the soul ut ion X
Answers
Step-by-step explanation:
option 2 is correct
here the question ask for value of X
to find it we multiple the matrix X with the given matrix in question and equate the answer.
Find the sum of the first six terms in the sequence {1, 5, 9, 13, …}
Answers
Answer:
66
Step-by-step explanation:
The sequence you provided seems to be arithmetic as it increases as 4 each term. Assuming 1 is the first term the equation would be [tex]a_{n}=1 + 4(n-1)[/tex]. You could just take the first 6 terms and add them together since you already have 4 values calculated and you could calculate the other 2 by adding 4. This would give you
(1 + 5 + 9 + 13 + 17 + 21) = 66
But there's an easier way to do it. You could use the formula [tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]. You can calculate [tex]S_6[/tex] by plugging in those values. You would need to calculate [tex]a_6[/tex] before hand, but you can calculate that using the formula I defined above. Which in general is [tex]a_n = a_1 + d(n-1)[/tex] where d is like the slope, or how much it changes each term. So if you calculate [tex]a_6[/tex] you'll get [tex]1+4(6-1) = 1+4(5) = 21[/tex]. Now plug this into the series formula above and you get [tex]S_6 = \frac{6(1+21)}{2}=\frac{6(22)}{2}=\frac{132}{2}=66[/tex] which is exactly what you get if you add the first 6 terms as shown above when you do it manually.
[tex]\text{First let's find two more terms, because we have only six. We can do that by}\\\text{adding 4:: 13+4=17; 17+4=21}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{Now we just add the terms: 1+5+9+13+17+21}[/tex]
[tex]\rule{300}{1.7}\\\text{66}[/tex]
a. What are the distances in feet covered in 4 steps, 6 steps, 12 steps, and 30 steps?
Answers
The distances in feet covered in 4 steps, 6 steps, 12 steps, and 30 steps are 10 feet, 15 feet, 30 feet and 75 feet.
Missing informationWhen you walk with a normal stride, the average distance covered in 2 steps is about 5 feet
How to determine the distances?From the question, we have:
Rate = 5 feet per 2 steps
This gives
Rate = 5/2 feet per step
So, we have:
Rate = 2.5 feet per step
The distance is then calculated as:
Distance = Rate * Steps
This gives
Distance = 2.5 * Steps
So, the distances in feet covered in 4 steps, 6 steps, 12 steps, and 30 steps are
Distance = 2.5 * 4 = 10 feet
Distance = 2.5 * 6 = 15 feet
Distance = 2.5 * 12 = 30 feet
Distance = 2.5 * 30 = 75 feet
Hence, the distances in feet covered in 4 steps, 6 steps, 12 steps, and 30 steps are 10 feet, 15 feet, 30 feet and 75 feet.
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Find the midpoint of the segment with the following endpoints.
(-3,-3) and (1, 2)
Answers
[tex]\left(\frac{-3+1}{2}, \frac{-3+2}{2} \right)=\boxed{\left(-1, -\frac{1}{2} \right)}[/tex]
The ages of Sonu and Monu are in the ratio 5:7.If Sonu were 9 years older and Monu 9 years younger, the age of Sonu would have been twice the age of Monu .Find their p present age 2 ) The ages of Sonu and Monu are in the ratio 5 : 7.If Sonu were 9 years older and Monu 9 years younger , the age of Sonu would have been twice the age of Monu .Find their present age.
Answers
Answer:
Sonu is 15years and Monu is 21 years
Line l and line m intersect.
Prove: ∡1 ≅ ∡3
Answers
Answer:
l & m intersect
2 & 3 are supplementary
1 & 3 are congruent
Step-by-step explanation:
The proof of expression"∡1 ≅ ∡3" is given below.
The complete flow chart is given in the attached image.
As per the provided diagram and the given information "Line l and line m intersect", the proof of the required statement can be done in the following steps.
Step 1:
Given: Line l and line m intersect.
Step 2:
∠1 is supplementary to ∠2
From the property of linear pair theorem.
Step 3:
∠2 is supplementary to ∠3
From the property of linear pair theorem.
Step 4:
As per the property of congruent supplements theorem,
∠1 ≅ ∠3
The complete chart is given below.
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Suppose that x and y vary inversely. Write a function that models each inverse
variation.
x = -13 when y = 100
EE ⁹⁹ 흐흐흐≡
Q√ C
Answers
Since the product of variables in inverse proportion is constant, the equation is [tex]\boxed{xy=-1300}[/tex]
Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 8% each week. The following function represents the weekly weed growth: f(x) = 86(1.08)x. Rewrite the function to show how quickly the weeds grow each day.f(x) = 86(1.08)7x; grows approximately at a rate of 5.6% daily
f(x) = 86(1.087)x; grows approximately at a rate of 0.56% daily
f(x) = 86(1.01)x; grows approximately at a rate of 0.1% daily
Feedback for this selection: Don't forget to multiply the power by 7.
f(x) = 86(1.01)7x; grows approximately at a rate of 1% daily
please explain how you got the answer!
Answers
The function represents the weekly weed growth f(x) = 86(1.01)^7x; They grow at approximately the rate of 1% per day.
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
The following function represents the weekly weed growth:
f(x) = 86(1.08)x.
we'll represent the growth function by day g(x). If x is to represent days, then x/7 represents weeks.
We can write,
g(x) = f(x/7) = 86·1.08^(x/7)
g(x) = 86·(1.08^(1/7))^x
g(x) = 86·1.011055^x
The function represents the weekly weed growth f(x) = 86(1.01)^7x; They grow at approximately the rate of 1% per day.
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Please hurry:)
Which of the following is equivalent to…
Answers
Answer:
D
Step-by-step explanation:
The equation of a circle is x² + y²-6y+1=0. What are the coordinates of
the center and the length of the radius of this circle?
(1) center (0,3) and radius 2√2
(2) center (0,-3) and radius 2√2
(3) center (0.6) and radius √35
(4) center (0,-6) and radius √35
Answers
Answer:
center (0, 3) and radius 2√2
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where:
(a, b) is the centerr is the radiusGiven equation:
[tex]x^2+y^2-6y+1=0[/tex]
Subtract 1 from both sides:
[tex]\implies x^2+y^2-6y=-1[/tex]
To create a trinomial with variable y, add the square of half the coefficient of the y term to both sides:
[tex]\implies x^2+y^2-6y+\left(\dfrac{-6}{2}\right)^2=-1+\left(\dfrac{-6}{2}\right)^2[/tex]
[tex]\implies x^2+y^2-6y+9=8[/tex]
Factor the trinomial with variable y:
[tex]\implies x^2+(y^2-6y+9)=8[/tex]
[tex]\implies x^2+(y-3)^2=8[/tex]
Factor [tex]x^2[/tex] to match the general form for the equation of a circle:
[tex]\implies (x-0)^2+(y-3)^2=8[/tex]
Compare with the general form of the equation for a circle:
[tex]\implies a=0[/tex]
[tex]\implies b=3[/tex]
[tex]\implies r^2=8 \implies r=2\sqrt{2}{[/tex]
Therefore, the center is (0, 3) and the radius is 2√2
A. 10%
B.15%
C.28%
D.25%
Answers
Answer: 10%
Step-by-step explanation:
She had a total of $16,800. Subtracting the $5700 standard deduction and the $3650 exemption, we get:
[tex]16800-5700-3650=7450[/tex]
Which falls within the 10% tax bracket.
Eugene and Shanice each improved their yards by planting sod and geraniums. They bought their supplies from the
same store. Eugene spent $36 on 9 ft² of sod (s) and 2 geraniums (g). Shanice spent $63 on 9 ft² of sod and 5
geraniums. What is the solution to the system of equations? What is the cost of one ft² of sod and the cost of one
geranium?
Answers
The cost of one ft² of sod is $2 and the cost of one geranium is $9.
What are the linear equations that represent the question?9s + 2g = 36 equation 1
9s + 5g = 63 equation 2
What is the cost of one feet of sod and geranium?
Subtract equation 1 from equation 2:
3g = 27
g = 27 / 3
g = $9
Substitute for g in equation 1
9s + (2 x 9) = 36
9s + 18 = 36
9s = 36 - 18
9s = 18
s = 18 / 9
s = $2
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A greedy hamster hoarded two piles of sunflower seeds. Yesterday the ratio of seeds in these piles was 3:4, but today the greedy hamster placed another 2 pounds of seeds in the bigger pile. He also ate 1/4 pound from the smaller pile and now the quantities of seeds in those piles is in the ratio of 5:16. What was the weight of each pile yesterday?
Answers
The weight of the each pile yesterday would be 6 and 8 pounds.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given;
Yesterday the ratio of seeds in these piles was 3:4.
Let it be 3x and 4x.
If the 2 pounds of seeds is added in the bigger pile, then it become
4x + 2
He also ate 1/4 pound from the smaller pile, then
3x - 1/4
Now the quantities of seeds in those piles is in the ratio of 5:16.
So, 4x + 2 = 5x
3x - 1/4 = 16x
Solve;
So, 4x + 2 = 5x
2 = 5x - 4x
x = 2
The weight of the each pie would be
3x = 6 pound
4x = 8 pound
Hence, The weight of the each pile yesterday would be 6 and 8 pounds.
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What is the surface area of a square prism with sides that measure 8 units?
O254 units²
O 300 units²
0314 units²
0384 units²
Answers
Answer:
384 units²
Step-by-step explanation:
The area of one face is (8)(8)=64.
Multiplying this by the six faces, we get 64(6)=384
Gabrielle is 10 years older than Mikhail. The sum of their ages is 84. What is Mikhail's age?
Answers
Answer:
Hence the age of Mikhail is 37 and the age of Grabrielle is 47
Answer:
Here;
Gabrielle age= 10yrs older that M..= 16 + 10= 26yrs old.
Sum of their age= 84
Now;
100 - 84
16,,
15. Desde la punta de un edificio el hombre araña lanza una tela a 500 metros, de la base del edificio
con un ángulo de depresión de 60°, ¿Qué altura (h) tiene el edificio?
ayudaaaa
Answers
Step-by-step explanation:
the correct answer will be 93
A certain aircraft can fly 1330 miles with the wind in 5 hours and travel
the same distance against the wind in 7 hours. What is the speed of the
wind?
Answers
distance = 1330 ; time = 5 hrs ; rate = d/t = 1330/5 = 266 mph
---------------------------
Upwind DATA:
distance = 1330 ; time = 7 hrs ; rate = d/t = 1330/7 = 190 mph
---------------------------
Equations:
p + w = 266
P - w = 190
-------------
Subtract 2nd equ. from 1st to get:
2w = 76
w = 38 mph (speed of the wind)
Answer 38mph
A study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving (the Wall Street Journal, May 5, 2010). Suppose a random sample of 100 teen drivers is taken. What is the probability that the sample proportion is within ± 0.02 of the population proportion?
Answers
The probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
How to determine the probability?The given parameters are:
Sample size, n = 100Population proportion, p = 82%Start by calculating the mean:
[tex]\mu = np[/tex]
[tex]\mu = 100 * 82\%[/tex]
[tex]\mu = 82[/tex]
Calculate the standard deviation:
[tex]\sigma = \sqrt{\mu(1 - p)[/tex]
[tex]\sigma = \sqrt{82 * (1 - 82\%)[/tex]
[tex]\sigma = 3.84[/tex]
Within ± 0.02 of the population proportion are:
[tex]x_{min} = 82 * (1 - 0.02) = 80.38[/tex]
[tex]x_{max} = 82 * (1 + 0.02) = 83.64[/tex]
Calculate the z-scores at these points using:
[tex]z = \frac{x - \mu}{\sigma}[/tex]
So, we have:
[tex]z_1 = \frac{80.36 - 82}{3.84} = -0.43[/tex]
[tex]z_2 = \frac{83.64 - 82}{3.84} = 0.43[/tex]
The probability is then represented as:
P(x ± 0.02) = P(-0.43 < z < 0.43)
Using the z table of probabilities, we have:
P(x ± 0.02) = 0.3328
Hence, the probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
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I need help ASAP please
Which statement is true about whether Z and B are independent events?
A: Z and B are independent events because P(Z | B) =P(Z).
B: Z and B are independent events because P(Z | B) = P(B).
C: Z and B are not independent events because P(Z | B) ≠ P(Z).
D: Z and B are not independent events because P(Z | B) ≠ P(B).
Answers
Explanation:
Independent event means P(Z|B)=P(Z)
P(Z|B)=(Z ∩ B)/B
=(126)/280
=.45
P(Z)=297/660
=.45
Therefore they are independent events, and the answer is A.
Given A(-2, 5) and B(13, -7), find the midpoint of AB.
Select one:
a. (-2, 11)
b. (5.5, -1)
c. (11, -2)
d. (-1, 5.5)
Answers
[tex]\left(\frac{-2+13}{2}, \frac{5-7}{2} \right)=\boxed{\left(5.5, -1)}[/tex]
