Answer:
The sampling is dependent because an individual selected for one sample does dictate about which individual to be selected in the second sample.
The variable is qualitative because it classifies the individual.
Step-by-step explanation:
The sample is dependent as the second individual selected in the sample is dependent on the first individual selection. The sample selection is not random and is dictated. The variables selected are qualitative in nature because they identify the quality of response variable which is non numerical in nature.
The snowfall from this snowstorm above covered most of IA, northern IL, northern IN, and southern MI. While some locations in that swath saw over a foot of snow, let’s assume the average depth of the snow over this area was 8 inches. If the total area covered by the 8 inch average depth was 72,150 square miles, what percentage of the volume of the Grand Canyon would this amount of snow fill?
Answer:
Percentage volume of the Grand Canyon filled by the snow = 0.911 %
Step-by-step explanation:
This question is incomplete; please find the complete question in the attachment.
Given :
Area of the snow cover = 72150 square miles
Depth of the snow = 8 inches
Volume of the Grand Canyon = 4.166 × 101² m³
Solution:
Area of the snow cover = 72150 square miles
≈ 72150 × 2589988 square meter
≈ 1.868 × 10¹¹ square meter
Depth of the snow = 8 inches ≈ 0.2032 m
Volume of the snow on this area = Area × depth of the snow
= 1.868 × 10¹¹ × 0.2032
= 3.796 × 10¹⁰ m³
Volume of the Grand Canyon = 4.166 × 10¹² m³
Percentage volume of the Grand Canyon filled by the snow
= [tex]\frac{\text{Volume of the snow}}{\text{Volume of the Grand Canyon}}\times 100[/tex]
= [tex]\frac{3.796\times 10^{10} }{4.166\times 10^{12} }\times 100[/tex]
= 0.911%
Calculate the length of the unknown side of this right angled triangle
Answer:
12.04
Step-by-step explanation:
Well to solve for the unknown side "c" we need to use the Pythagorean Theorem formula,
[tex]a^2 + b^2 = c^2[/tex]
We already have a and b which are 8 and 9 so we plug them in.
[tex](8)^2 + (9)^2 = c^2[/tex]
64 + 81 = c^2
145 = c^2
c = 12.04 rounded to the nearest hundredth.
Thus,
the unknown side is about 12.04.
Hope this helps :)
The doubling time of a cityʹs population is 8 years. How long does it take for the population to quadruple.
Answer:
16 Years
Step-by-step explanation:
can you answer this for my friend thank you
Answer:
length=16 feet and width=12 feet
Answer:
Length = 16ft, width = 12ft
Step-by-step explanation:
4:2 or 2:1
so you need to mulitply everything by 2
length = 8*2 = 16ft
width = 6*2 = 12ft
Roberta sold goods costing $35,500, her expenses totaled $2,500 and her freight in totaled $750.
Her company's average stock of goods during the same period was $9,500.
The inventory turnover ratio for Roberta's company is
Answer:
Inventory turnover ratio is 3.74
explanation:
Inventory turnover is a ratio of the number of times a company's inventory is sold and replaced in a given period.
Inventory turn over ratio is calculated as ; Cost of goods sold ÷ Average stock of goods sold
= $35,500 / $9500
= 3.74
hellllllllppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
see below.
Step-by-step explanation:
1st row has four small boxes
2nd row has three big boxes
big box 1 has no items ragged in it.
big box 2 has small box 1 and also small box 1 dragged into it.
big box 3 has small box 3 and small box 4 dragged into it.
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.? y = 2 + sec(x), −π/3 ≤ x ≤ π/3, y = 4; about y = 2
Answer:
The volume of the solid is: [tex]\mathbf{V = \pi [ \dfrac{8 \pi}{3} - 2\sqrt{3}]}[/tex]
Step-by-step explanation:
GIven that :
[tex]y = 2 + sec \ x , -\dfrac{\pi}{3} \leq x \leq \dfrac{\pi}{3} \\ \\ y = 4\\ \\ about \ y \ = 2[/tex]
This implies that the distance between the x-axis and the axis of the rotation = 2 units
The distance between the x-axis and the inner ring is r = (2+sec x) -2
Let R be the outer radius and r be the inner radius
By integration; the volume of the of the solid can be calculated as follows:
[tex]V = \pi \int\limits^{\dfrac{\pi}{3}}_{\dfrac{-\pi}{3}} [(4-2)^2 - (2+ sec \ x -2)^2]dx \\ \\ \\ V = \pi \int\limits^{\dfrac{\pi}{3}}_{\dfrac{-\pi}{3}} [(2)^2 - (sec \ x )^2]dx \\ \\ \\ V = \pi \int\limits^{\dfrac{\pi}{3}}_{\dfrac{-\pi}{3}} [4 - sec^2 \ x ]dx[/tex]
[tex]V = \pi [4x - tan \ x]^{\dfrac{\pi}{3}}_{\dfrac{-\pi}{3}} \\ \\ \\ V = \pi [4(\dfrac{\pi}{3}) - tan (\dfrac{\pi}{3}) - 4(-\dfrac{\pi}{3})+ tan (-\dfrac{\pi}{3})] \\ \\ \\ V = \pi [4(\dfrac{\pi}{3}) - tan (\dfrac{\pi}{3}) + 4(\dfrac{\pi}{3})- tan (\dfrac{\pi}{3})] \\ \\ \\ V = \pi [8(\dfrac{\pi}{3}) - 2 \ tan (\dfrac{\pi}{3}) ][/tex]
[tex]\mathbf{V = \pi [ \dfrac{8 \pi}{3} - 2\sqrt{3}]}[/tex]
Find the dimensions of a rectangle with perimeter 68 m whose area is as large as possible. (If both values are the same number, enter it into both blanks.)
Answer:
Length is 17m and Breadth is also 17mStep-by-step explanation:
The perimeter of a rectangle is expressed as 2(L+B) where;
L is the length and B is the breadth of the triangle.
P = 2(L+B)
68 = 2(L+B)
L+B = 68/2
L+B = 34
L = 34 - B ... 1
Area of the rectangle A = LB... 2
Substituting equation 1 into 2 will give;
A = (34-B)B
A = 34B-B²
To maximize the area of the triangle, dA/dB must be equal to zero i.e
dA/dB = 0
dA/dB = 34 - 2B = 0
34-2B = 0
2B = 34
Dividing both sides of the equation by 2 we will have;
B = 34/2
B = 17
Substituting B = 17 into equation 1 to get the length L
L = 34-17
L = 17m
This shows that the rectangle with maximum area is a square since L = B = 17m
The dimension of the rectangle is Length = 17m and Breadth = 17m
The dimensions are 17m and 17m.
The perimeter of a rectangle is given as:
= 2(length + width)
Since in their case, the lengths have same values, this will be:
Perimeter = 2(l + l)
Perimeter = 4l
4l = 68
L = 68/4
L = 17m
Therefore, the dimensions are 17m and 17m.
Read related link on:
https://brainly.com/question/15366172
i have to write equations in standard form using integer coefficients for A,B, and, C Example: y= -8/15x + 1/20
Answer:
c
Step-by-step explanation:
The shape of a garden is rectangular at the center and semicircular at the ends. Find the area and perimeter of this garden { length of the rectangle is 20 - (3.5+3.5) meters} The First, correct answer gets BRAINLIEST
Mensuration:
Mensuration is the branch of mathematics which concerns itself with the measurement of Lengths, areas & volume of different geometrical shapes or figures.
Plane Figure: A figure which lies in a plane is called a plane figure.
For e.g: a rectangle, square, a rhombus, a parallelogram, a trapezium.
Perimeter:
The perimeter of a closed plane figure is the total length of its boundary.
In case of a triangle or a polygon the perimeter is the sum of the length of its sides.
Unit of perimeter is a centimetre (cm), metre(m) kilometre(km) e.t.c
Area: The area of the plane figure is the measure of the surface enclose by its boundary.
The area of a triangle are a polygon is the measure of the surface enclosed by its sides.
A square centimetre (cm²) is generally taken at the standard unit of an area. We use square metre (m²) also for the units of area.
Circumference of a circle is the perimeter of a circle.
In a circle the radius is half of the diameter.
The approximate value of π( Pi) is= 22/7
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An amount of $49,000 is borrowed for 15 years at 3.5% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be
paid back?
round your answer to the nearest dollar.
Answer:
[tex]\boxed{\sf \ \ \ $82,092 \ \ \ }[/tex][tex]\large\boxed{\sf \ \ \ \$82,092 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
At the beginning we have $49,000
After the first year we get 49,000*(1+3.5%)=49,000*1.035
After n years we get
[tex]49,000\cdot1.035^n[/tex]
So in 15 years it comes
[tex]49,000\cdot1.035^{15}=82,092.09...[/tex]
rounded to the nearest dollar is $ 82,092
Hope this helps
What is the square root of nine?
Answer:
3 or -3
Step-by-step explanation:
sqrt(9)
What number multiplied by itself will give you 9
3*3 =9
-3 * -3 =9
The square root of 9 is 3 or -3
Which statement best describes the end behavior of the following function?
F(x) = -x3 - 2x2 +7x-10
A. The graph of the function is high on the extreme left side, and low on the extreme right side.
The graph has no "start" or "end". It's defined for all 'x' between negative and positive infinity. So no matter how far left or right you go, there's always a 'y' for whatever 'x' you're at.
But it's guaranteed that once you get far enough left (negative x), the first term -x³ will definitely be positive, and will become more and more positive as you go farther left.
And similarly, once you get far enough right (positive x), the first term, -x³ will definitely be negative, and it'll become more and more negative as you go farther right.
So, except for some wiggling within a short distance either side of the origin, if you look at this graph from 10 miles away, f(x) comes out of the sky on the left side, and it heads down into the salt mine on the right side.
Answer:
guys omg the answer is A its not a scam guys
Step-by-step explanation:
can someone answer this
Hey there! :)
Answer:
(-6, -7)
Step-by-step explanation:
Given the equations:
y = -1/6x - 8
y = 2x + 5
When graphed, we get a solution, or point of intersection, at (-6, -7). This is the point at which the two equations are equal to each other. This can even be proven:
-7 = -1/6(-6) - 8
-7 = 1 - 8
-7 = -7
----------------------
-7 = 2(-6) + 5
-7 = -12 + 5
-7 = -7
Thus, proving graphically and algebraically, the solution is at (-6, -7).
Find the area of the shaded triangle, if the side of each square is 1 unit long.
Answer:
10 units²
Step-by-step explanation:
The shape is a triangle.
The area can be found by multiplying the base (in units) with height (in units) divided by 2.
base = 4 units
height = 5 units
[tex]\frac{4 \times 5}{2}[/tex]
[tex]\frac{20}{2} =10[/tex]
Select the correct answer.
Estimate the solution to the following system of equations by graphing.
3x + 5y=14
6x - 4y=9
Answer:
y = 19/14 and x = 25/42
Step-by-step explanation:
Answer:
(5/2, 4/3)
Step-by-step explanation:
the solution is the point (2.41,1.36)
x=5/2
y=4/3
Kimberly wants to paint all the surfaces of the table shown below.
Which measure BEST helps her determine how much paint she needs?
А
the volume of 1 rectangular prism and 4 cylinders
B
the surface area of 1 rectangular prism and 4 cylinders
С
the surface area of 5 rectangular prisms
D
the volume of 5 rectangular prisms
Answer:
C. surface area of 5 rectangular prisms.
Step-by-step explanation:
The table in the given figure as shown above has a rectangular flat top that has a solid shape of rectangular prism.
It also has 4 legs that are also rectangular in shape. The legs are rectangular prisms.
To determine the quantity of paint Kimberly would need, she needs to make use of the surface area of the table.
The surface area of the table = surface area of the top + surface area of the 4 legs = surface area of 5 rectangular prisms.
Answer:
C
Step-by-step explanation:
Given: AB=BC,AM=MC BM ⊥AC , EF⊥BC Prove: EC/AB = FC/MA
Answer:
90 degree EFC. and. BMC
across fc/ma
across ec/ab
Simplify the expression:
1 – 5b + – b + – 8b – 2b
Answer:
The answer is 1 - 16b.
Step-by-step explanation:
You have to collect like-terms :
[tex]1 - 5b - b - 8b - 2b[/tex]
[tex] = 1 + b( - 5 - 1 - 8 - 2)[/tex]
[tex] = 1 + b( - 16)[/tex]
[tex] = 1 - 16b[/tex]
Answer:
The answer is
1 - 16bStep-by-step explanation:
1 – 5b + – b + – 8b – 2b can be written as
1 - 5b - b- 8b - 2b
Subtract the like terms
That's
We have the final answer as
1 - 16b
Hope this helps you
In parallelogram ABCD, the coordinates of A are (4,3) and the coordinates of the midpoint of diagonal AC
are (2,5). What are the coordinates of C?
Answer:
D. (0, 7).
Step-by-step explanation:
Moving from (4,3) to (2, 5) we move 2 to the left; 2 - 4 = 2 then 2 up 3 + 5 = +2.
So the point C is 2-2, 5+2 = (0, 7).
What is the solution to the inequality below?
x < 49
Answer: x < 7, and x > -7
Step-by-step explanation:
Simply square root both sides of the equation. The square root of x^2 is x and the square root of 49 can be 7 or -7.
Hope it helps <3
Answer:
x < 7 and x > -7
Step-by-step explanation:
x^2 < 49
Take the square root of each side, remembering to flip the inequality when we take the negative
sqrt( x^2) < + sqrt(49) and sqrt( x^2)> - sqrt(49)
x < 7 and x > -7
Sven starts walking due south at 7 feet per second from a point 190 feet north of an intersection. At the same time Rudyard starts walking due east at 4 feet per second from a point 130 feet west of the intersection.
A. Write an expression for the distance d between Sven and Rudyard t seconds after they start walking.
B. What is the minimum distance between them?
C. When are Sven and Rudyard closest?
Answer: A. [tex]d=\sqrt{(190-7t)^2+(130-4t)^2}[/tex]
B. Minimum distance between them = 18.61 feet.
C. After 28.76 seconds Sven and Rudyard are closest.
Step-by-step explanation:
A) Let (0,0) be the intersection point.
Then, Initial Location of Sven (0,190).
Speed of Sven = 7 feet per second
Then, position of Sven after t seconds = (0,190-7t) [speed = distance x time]
Similarly, Initial position of Rudyard= (130,0)
Speed of Rudyard = 4 feet per second
Position after t seconds = (130-4t,0)
Distance d between Sven and Rudyard t seconds after they start walking:
[tex]d=\sqrt{(190-7t)^2+(130-4t)^2}[/tex]
B) Let [tex]d(t)=\sqrt{(190-7t)^2+(130-4t)^2}\\[/tex]
[tex]d'(t)=2(190-7t)(-7)+(2)(130-4t)(-4)\\\\=130t-3700[/tex]
Put d'(t)=0
[tex]130t-3700=0\\\\\Rightarrow\ t=\dfrac{3700}{130}\approx28.46\ sec[/tex]
Minimum distance :
[tex]d(28.46)=\sqrt{(190-7(28.46))^2+(130-4(28.46))^2}\\\\=\sqrt{346.154}\approx18.61\ feet[/tex]
Hence, the minimum distance between them = 18.61 feet.
c) After 28.76 seconds Sven and Rudyard are closest.
The process of using the same or similar experimental units for all treatments is called:______
a. blocking.
b. partitioning.
c. factoring.
d. replicating.
Answer:
replicating
Step-by-step explanation:
If 3 is added to the absolute value of the product of a number and –9, the result is 4.
Answer:
± (1 ÷ 9)
Step-by-step explanation:
Data provided in the question
Since 3 is added to the absolute value and -9
The result is 4
Now this information should be transformed in a mathematical equation
Let us assume be x so the product of the number and -9 be -9x
Fo rthe absolute value we use the mode. Thus the required expression is:
3 + |-9x|
Given that the result is 4
So, it would be
3 + |-9x| = 4
Now Solving the above equation which is given below:
|-9x| = 4-3
|-9x| = 1
here we will remove the mode by introducing ± sign which is shown below:
-9x = ± 1
-9x = 1 or -9x = -1
x = -1/9
or
x = [tex]\frac{1}{9}[/tex]
Therefore, the value of x is ± (1 ÷ 9).
Find the largest integer which belongs to the following interval: [−∞, 31]
Answer:
Largest integer in the interval [−∞, 31] is 31.
Step-by-step explanation:
Given the interval: [−∞, 31]
To find: The largest integer in this interval.
Solution:
First of all, let us learn about the representation of intervals.
Two kind of brackets can be used to represent the intervals. i.e. () and [].
Round bracket means not included in the interval and square bracket means included in the interval.
Also, any combination can also be used.
Let us discuss one by one.
1. [p, q] It means the interval contains the values between p and q. Furthermore, p and q are also included in the interval.
Smallest p
Largest q
2. (p, q) It means the interval contains the values between p and q. Furthermore, p and q are not included in the interval.
Smallest value just greater than p.
Largest value just smaller than q.
3. [p, q) It means the interval contains the values between p and q. Furthermore, p is included in the interval but q is not included in the interval.
Smallest value p.
Largest value just smaller than q.
4. (p, q] It means the interval contains the values between p and q. Furthermore, p is not included in the interval but q is included in the interval.
Smallest value just greater than p.
Largest value q.
As per above explanation, we can clearly observe that:
The largest integer which belongs to the following interval: [−∞, 31] is 31.
In a statistical experiment, we roll two die (6 sided each) and add the results. The outcomes of interest for our experiment are: A
Answer:
The highest number on a die is 6. when we roll out two die the total sum cannot be more that 12. and each sum having the same probability of showing up.
The outcome of our experiment can be 2,3,4,5,6,7,9,10,11 or 12.
Step-by-step explanation:
Statistical experiment can be simply stated as the likelihood of an an event to occur or not.
Which of the following points are on the line given by the equation y= 1/2x ?
Check all that apply.
D A. (-2,-1)
DB. (-2,1)
| C. (3,6)
D. (3, 15)
D E. (2.1)
D F. (4,2)
Answer:
(-2,-1), (2,1), (4,2)
Step-by-step explanation:
This is how I did it: (took me like a minute)
Draw a graph or get graph paper. You could also probably find a graph online that you can write on. (remember to label)
Now mark two points of the line. So for this question you could use (0,0) and (2,1).
Now draw a line connecting both points.
Finally you can check whether the points are on the line or are not.
Hope this helps!
The average American consumes 8.8 liters of alcohol per year. Does the average college student consume less alcohol per year? State your null and alternative hypothesis
Answer:
Null hypothesis: u = 8.8 liters
Alternative hypothesis: u < 8.8 liters
Step-by-step explanation:
The null hypothesis is always opposite to Tue alternative hypothesis and is the default hypothesis.
In this case study, the null hypothesis is that the average American consumes 8.8 liters of alcohol per year: u = 8.8
The alternative hypothesis is that does the average American consumes less than 8.8 liters of alcohol per year: u < 8.8 liters
A sample of 13 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was 3 ounces with a standard deviation of 0.15 ounces. The population standard deviation is known to be 0.1 ounce.Required:a. Construct a 98% confidence interval for the population mean weight of the candies.b. State the confidence interval. (Round your answers to three decimal places.)c. Draw the Graph
Answer:
The answer is below
Step-by-step explanation:
Given that:
Mean (μ) = 3 ounces. standard deviation (σ) = 0.15, sample size (n) = 13 and confidence (C) = 98%
α = 1 - C = 1 - 0.98 = 0.02
α/2 = 0.02/2 = 0.01.
The z score of 0.01 (α/2) corresponds to the z score of 0.49 (0.5 - 0.01) which from the normal distribution table is 2.33.
The margin of error (E) is:
[tex]E=z_{0.01}*\frac{\sigma}{\sqrt{n} } = 2.33*\frac{0.15}{\sqrt{13} }=0.1\\[/tex]
The confidence interval = μ ± E = 3 ± 0.1 = (2.9, 3.1)
The confidence interval is between 2.9 ounce and 3.1 ounce
A personnel director interviewing 12 senior engineers for five job openings has scheduled seven interviews for the first day and five for the second day of interviewing. Assume that the candidates are interviewed in a random order.
(a) What is the probability that x of the top four candidates are interviewed on the first day?
h(N; 5, 5, 12)
h(x; 5, 12, 5)
h(N; 7, 12, 5)
h(x; 7, 5, 12)
(b) How many of the top four candidates can be expected to be interviewed on the first day? (Round your answer to two decimal places.)
Answer:
a) h(x; 7, 5, 12) = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)
b) 2.92
Step-by-step explanation:
a)
Here
Number of interviewees = N = 12
Number of job openings = M = 5
Interviews schedules for the first day = n = 7
N − M = 12 - 5 = 7
Using hypergeometric distribution:
Let X be the no. top four candidates interviewed on first day.
The probability mass function of X:
P(X = x) = [tex](^{M} C_{x})[/tex] [tex](^{N-M} C_{n-x})[/tex] / [tex](^{N} C_{n})[/tex]
It can be written as:
h(x; n, M, N) = [tex](^{M} C_{x})[/tex] [tex](^{N-M} C_{n-x})[/tex] / [tex](^{N} C_{n})[/tex]
= (5Cx) (7C7-x) / (12C7)
= (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)
h(x; 7, 5, 12) = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)
b)
The expectation is: E(X) = np
E(X) = n * M/N
= 7 * 5/12
= 7 * 0.41667
= 2.9167