Answer:
y = 1/3x
Step-by-step explanation:
y = 1/3x + b
-1 = 1/3(-3) + b
-1 = -1 + b
0 = b
y = 1/3x
This set of ordered pairs shows a relationship between x and y. {(0, -2), (3, 7), (6, 16), (6, 15), (8, 21), (10, 28), (11,31)} Using the line of best fit, which is closest to the output when the input is 5?
Answer:
The closest to the output when the input is approximately 12
Step-by-step explanation:
The given (x, y) coordinates are;
The line of best fit is
x, 0, 3, 6, 6, 8, 10, 11
y, -2, 7, 16, 15, 21, 28, 31
The line of best fit can be obtained from the scatter plot of the given data from where a linear pattern is apparent
A linear line of best fit is a trend line that gives an overall cumulative minimum distance of all the points from the line
The method for constructing a line of best fit includes;
1) The least Squares Method
2) The method of linear regression
3) Construction of line of best fit
a) The area method
b) The dividing method
The least squares equation is given as follows;
[tex]\hat y[/tex] = a + b·x
[tex]b = \dfrac{\Sigma (x_i - \overline x) \cdot (y_i - \overline y)}{\Sigma (x_i - \overline x)^2 }[/tex]
From MS Excel, we have;
[tex]{\Sigma (x_i - \overline x) \cdot (y_i - \overline y)}{ }[/tex] = 266.8571
[tex]{\Sigma (x_i - \overline x)^2 }[/tex] = 89.42857
∴ b = 266.8571/89.42857 ≈ 2.984
[tex]a =\overline y- b \cdot \overline x[/tex]
From MS Excel, with the given data, we get;
[tex]\overline y[/tex] = 16.57143
[tex]\overline x[/tex] = 6.285714
Therefore;
a = 16.57143 - 2.984 × 6.285714 = -2.185
Therefore, we get the following regression equation;
[tex]\hat y[/tex] = -2.185 + 2.9·x
Where;
x = The input
[tex]\hat y[/tex] = The output
Therefore, when x = 5, we get;
[tex]\hat y[/tex] = -2.185 + 2.9 × 5 = 12.315
Therefore, the closest to the output when the input is 5, y ≈ 12
Plz help I'd highly be grateful
Answer: C
explanation : It is because the answer supposed to be equivalent to
[tex]\frac{-e}{f}[/tex]
Instead of this, answer a and b are positive
a is completely positive as it has no negatives at all
b is positive as 2 negative makes up as positive
At a local restaurant, the amount of time that customers have to wait for their food is
normally distributed with a mean of 32 minutes and a standard deviation of 3
minutes. Using the empirical rule, determine the interval of minutes that the middle
99.7% of customers have to wait.
Answer:
.........................
Step-by-step explanation:
.................................................
Answer:
99.7% of customers have to wait between 8 minutes to 30 minutes for their food.
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 18 minutes
Standard Deviation, σ = 3 minutes
We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.
Empirical Formula:
Almost all the data lies within three standard deviation from the mean for a normally distributed data.
About 68% of data lies within one standard deviation from the mean.
About 95% of data lies within two standard deviations of the mean.
About 99.7% of data lies within three standard deviation of the mean.
Thus, 99.7% of the customers have to wait:
`
Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.
hope this helps
plz can i get brainliest:)
help help help help help i suck at math
Answer: D
Step-by-step explanation:
Find the term a8 for the sequence 6, 24, 96, ....
find the area of the circle. radius of the circles is 8 cm
Answer:
Step-by-step explanation:
r = 8 cm
Area of circle = πr²
= 3.14 * 8 * 8
= 200.96 cm²
Answer:
201.06
Step-by-step explanation:
π•8²
Bonnie and 3 of her friends want to buy a TV for their new apartment that costs $349.99.
Translate the expression
NO answering with links !!!
1) ten subtracted from the product of a number and -3 is 29
2) the difference between a number and nine , divided by 4 , is -7
Answer:
1) ten subtracted from the product of a number and -3 is 29
x*(-3) - 10 = 29-3x = 39x = -132) the difference between a number and nine , divided by 4 , is -7
x - 9/4 = -7x = 9/4 - 7x = -19/4Can someone please help me with this math problem:):)
Answer:
8.5 or 8 1/2
Step-by-step explanation:
Dada la función d(x) = 3x - 4, ¿Qué sucede con su representación gráfica si m disminuye 3 unidades?
Answer:
Si la pendiente ([tex]m[/tex]) disminuye 3 unidades, entonces tenemos que [tex]y = -4[/tex].
Step-by-step explanation:
Sea la función lineal [tex]d(x) = 3\cdot x - 4[/tex], una función está definida por la siguiente expresión matemática:
[tex]y = m\cdot x + b[/tex] (1)
Donde:
[tex]x[/tex] - Variable independiente.
[tex]y[/tex] - Variable dependiente.
[tex]m[/tex] - Pendiente.
[tex]b[/tex] - Intercepto.
Por comparación directa, tenemos que [tex]y = d(x)[/tex], [tex]m = 3[/tex] y [tex]b = -4[/tex]. Si [tex]m[/tex] disminuye en 3 unidades, entonces tenemos la siguiente ecuación lineal:
[tex]y = -4[/tex]
help asap please!! thank you
Answer: The third option
Step-by-step explanation:
(6) (5) is the area of the quadrilateral, therefore you subtract that value by the area of the semi-circle.
to find the area of a semi circle the formula is: (1/2) π ( [tex]r^{2}[/tex])
The radius is 2.5 because the diameter is 5, and the radius is half the diameter.
Ashanta buys pizza and drinks for a party.
• She wants to spend no more than $50.
• Pizzas cost $9 each, and drinks cost $2.50 each.
• She needs at least 4 pizzas.
• She needs no more than 5 drinks.
Answer:
she can buy 4 pizzas and five drinks with 2.50 to spare or 4 pizzas and 6 drinks
Step-by-step explanation:
what is the slope of [-4, -2, ] [ -3, -4 ]
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
HELPPPPP pleaseeeeeee due in 20 minutes please hurryyy
Answer:
The answer is 70
Step-by-step explanation:
What is the cube root of -729a^9 b^6?
Answer:
[tex]-9a^3b^2[/tex]
Step-by-step explanation:
Your Welcome!
William deposited $5,375 into an account that earns
6.2% interest compounded annually. Assuming he
makes no other deposits or withdrawals, which of the
following is the closest to the value of his account after
36 months?
A. $6,438.02
B. $46,866.34
C. $11,813.02
D. $1,063.02
Answer:
I'm pretty sure its D if not I'm sry
Answer:
A
Step-by-step explanation:
Compound interest is p (1+r)^T
5,375(1+0.062)^3 = 6,438.02
You have to convert the months into years.
Please Answer the question i dont understand
Answer:
C. -2 degrees
Step-by-step explanation:
Answer:
the answer would be c. -2 degrees
Step-by-step explanation:
3 - 5 = -2
have a great day
Two dice are rolled one after another. Construct a sample space and determine the probability that the sum of the dots on the dice total a number greater than 9 if the second die is a 5. The probability that the sum of the dots on the dice is a number greater than 9 if the second die is a 5 is nothing.
(Type an integer or a simplified fraction.)
this answer will be 55% ok
What’s the answer to this?!!!
Answer:
x = 10
Step-by-step explanation:
The figure is symmetrical, so 7x+5 = 9x - 15
7x + 5 = 9x - 15
5 = 2x - 15
20 = 2x
x = 10
Note that the figure is not drawn to scale, but computations don't lie :)
y = x+1
3x + y = -7
Plot two lines by clicking the graph.
Click a line to delete it.
10
Solution:
Submit Answer
PLEASE HELP PLEASE ILL GIVE BRAINLIEST
YOULL BE MY SAVIOR PLEASE SOMEONE HELP AND SHOW WORK CAUSE I DONT UNDERSTAND
Find the midpoint of the segment with the following endpoints.
(8,1) and (5,7)
Answer:
(6.5,4) is your mid point
Step-by-step explanation:
what is 1/3(w+18)=12 using distributive property?
Answer:
w = 18
Step-by-step explanation:
Given
[tex]\frac{1}{3}[/tex] (w + 18) = 12 ← distribute parenthesis on left side
[tex]\frac{1}{3}[/tex] w + 6 = 12 ( subtract 6 from both sides )
[tex]\frac{1}{3}[/tex] w = 6 ( multiply both sides by 3 to clear the fraction )
w = 18
Whats the common ratio of the geometric sequence 6, 36, 216,
Answer:
Common ratio is 6.
Step-by-step explanation:
The geometric sequence is being multiplied by 6 each time because 6x6=36, and 36x6=216.
Answer: Find the common ratio of the geometric sequence 6, 36, 216,...6,36,216,...
a_1=6 a_2=36 a_3=216
a
1
=6a
2
=36a
3
=216
\text{Common Ratio:}
Common Ratio:
r=\frac{a_2}{a_1}
r=
a
1
a
2
r=\frac{36}{6}
r=
6
36
r=6
r=6
8
What number should go in the box? 22572=20000+2000+500+0+2
Answer:
Step-by-step explanation:
70 is missing , but so is a box ????
need by midnight pretty simple i just don't know how to explain it.
Answer:
Side x is adjacent to 30° angle.
Correct method is:
cos 30° = x/15 ⇒ x = 15*cos 30° ⇒ x = 12.99Diego is correct and Steven is wrong.
when finding sine consider the opposite side to the angle, not hypotenusewhen finding cosine consider adjacent side to the angle, not hypotenusesomeone please please help me with this I would really appreciate it ! ( NO LINKS)
Answer:
Step-by-step explanation:
The cylinder on the right, its volume = 9 bi * 10 = 90 bi
The volume of the left cylinder = 9 bi * 10 = 90 bi
They are equal because the radius and length of 2 cylinders are equal
Which of the following is rewriting 272/3
Answer:
how to reduce (simplify) fraction 272/3 to lowest terms? Write it as an improper fraction, a mixed number, a decimal number, a percentage
Step-by-step explanation:
find the value of given expression !!
[tex] \sqrt{45 \times 2 - {3}^{2} } [/tex]
Answer:
the answer is 9
I hope it helps
have a great day
#Captainpower
please help out it for my math homework and I sure do have more questions
Answer:
30°
Step-by-step explanation:
Remember, all the interior angles of a triangle add up to 180 degrees. Therefore, we can find the value of x by subtracting the values of the other angles from 180:
[tex]x = 180-97-53[/tex]
[tex]x=30[/tex]
Answer:
Soln:
x+53+97=180(sum of interior angle of a triangle is 180)
or,x+150=180
or,x=180-150
or,x=30
Hence, the value of x is 30.