Answer:
For the coca-cola case, stratified sampling coupled with random sampling will be used.
Step-by-step explanation:
Before going into discussing the scenario, it is evident to discuss the properties of mentioned sampling methods. They are as follows:
Random sampling as the name indicates is purely by randomness. It is a sample in which each element of the population has an equal chance of coming on.
Systematic sampling is easier than random sampling. Here all the elements are arranged in an order and the kth element is considered after a specific interval.
Cluster Sampling is another type of sampling where the population is divided into groups probably on the basis of their geographical location and all the elements of the cluster are then used.
Stratified Sampling is a two-step sampling method where firstly the population is divided into strata, groups on basis of some characteristic, like gender, age, and then another sampling method as the random or systematic method is chosen to pick samples from each of these strata.
On the basis of properties presented and the scenario outlined, it is evident that the population will be divided into strata based on age, gender, profession, and education, and then a random sampling within each stratum is used for all the population of the Seattle area.
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
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:
when completely factored, 4-16x+28y equals :
Answer:
4(1 - 4x + 7y)
Step-by-step explanation:
The only factor common to all three terms is 4.
Factoring out the 4, we get 4(1 - 4x + 7y)
Find the term a8 for the sequence 6, 24, 96, ....
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:)
What is the cube root of -729a^9 b^6?
Answer:
[tex]-9a^3b^2[/tex]
Step-by-step explanation:
Your Welcome!
is a pentagon a polygon
Answer:
Yes
Step-by-step explanation:
A polygon is a 2D figure with at least three straight sides and angles. A pentagon has five sides and angles, so it qualifies as a polygon.
I hope this helped ^^ Good luck
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 hypotenuseJessica drew a scale
drawing of a movie
theater. The scale she
used on the drawing was
4 inches = 5 feet. In real
life, the walkway at the
movie theater was 30 feet
long. What will be the
length of the walkway on
Jessica's drawing?
Answer:
24 inches
Step-by-step explanation:
30 divided 5
that equals 6
then times 6 with 4
you get 24 inches
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:
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.
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 :)
what is the solution set for the equation 2x^2-8x-42=0
Answer:
x=−3 or x=7
Step-by-step explanation:
Step 1: Factor left side of equation.
2(x+3)(x−7)=0
Step 2: Set factors equal to 0.
x+3=0 or x−7=0
x=−3 or x=7
Answer:
(-3,7)
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
help help help help help i suck at math
Answer: D
Step-by-step explanation:
Can someone please help me with this math problem:):)
Answer:
8.5 or 8 1/2
Step-by-step explanation:
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.
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.
Write the equation represented in the verbal phrase below. Then solve the equation. (use x for your variable) The difference of 11 and 2 times a number "x" is 1 Your variable "x" is equal to
Answer:
x = 5
Step-by-step explanation:
Let
x = the unknown variable
The difference of 11 and 2 times a number "x" is 1
11 - 2x = 1
Find x
11 - 2x = 1
Add 2x to both sides
11 - 2x + 2x = 1 + 2x
11 = 1 + 2x
Subtract 1 from both sides
11 - 1 = 1 + 2x - 1
10 = 2x
Divide both sides by 2
10 / 2 = 2x / 2
5 = x
x = 5
If 5(3x – 7 ) = 20, then what is 6x – 8? *
8
12
14
16
Step-by-step explanation:
hope it helps............
PLEASE HELP PLEASE ILL GIVE BRAINLIEST
YOULL BE MY SAVIOR PLEASE SOMEONE HELP AND SHOW WORK CAUSE I DONT UNDERSTAND
Bonnie and 3 of her friends want to buy a TV for their new apartment that costs $349.99.
I need help please!!
Answer:
answer is A
Step-by-step explanation:
as /_ 1 + /_ 2 =180 degree
and /_6 +/_5 = 180 degree
so they are equal
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 = -19/4A recipe for nut bread calls for 1/3 cup of walnuts and 2/6 cup of pecans. What is the total amount of walnuts and pecans needed for the recipe?
Answer: 2/3 cups
Step-by-step explanation:
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
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
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]
someone 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
Math Math help help help ASAP please help me
Answer:
a.) 64
b.) 2401
Step-by-step explanation:
Answer:
a.) 64
b.) 2401
Step-by-step explanation: