A smart phone manufacturer wants to determine the average battery time that its new smart phone will get. The manufacturer will test 100 smart phones. Match the strategies to their corresponding sampling techniques.
a. The manufacturer tests 20 smart phones from each of its five equally sized distributors.
b. The manufacturer tests every 1000th smart phone that comes off the assembly line.
c. The manufacturer uses a computer to randomly select 150 smart phone serial numbers and tests all 150 phones with these serial numbers.
d. The manufacturer asks 100 of her friends who have the phone if she can borrow their phones to test.
e. The manufacturer finds three small communities that have dry moderate and humid climates and every smart phone from each of these three communities is tested.
1. Simple Random Sampling
2. Cluster Sampling
3. Stratified Sampling
4. Convenience Sampling
5. Systematic Sampling
Answers
Using sampling concepts, it is found that the matches of the strategies to their corresponding sampling techniques are given by:
a - 3.b - 5.c - 1.d - 4.e - 2.How are samples classified?Samples are classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.Item a:
Population divided into equally-sized groups(by distributors), and the same number from each is taken, hence stratified sampling is used, and the matching is a - 3.
Item b:
Every kth piece, hence systematic sampling is used, and the matching is b - 5.
Item c:
150 phones are chosen randomly, hence random sampling and the matching is c - 1.
Item d:
Asks friends, so by convenience sampling, hence the matching is d - 4.
Item e:
Divided into groups(by communities), all elements are surveyed, hence cluster sampling and the matching is e - 2.
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Related Questions
slope = -11 and through the point (5,7)
Answers
Answer:
y-7=-11(x-5)
Step-by-step explanation:
y-Y^1=mx-X^1
I do not understand what is going on for this question
Answers
(x,y,z)=(19,14,3)
What is equation matrix and vector?This means that by dividing the inverse of the A matrix by the B matrix, we may calculate the values of x, y, and z (the X matrix).An arrangement of numbers, occasionally expressions and symbols, in rows and columns is called a matrix. Quantum mechanics, optics, mathematics, and other mathematical functions are all solved using matrix formulas.It's not nearly as difficult as it sounds; all you have to do is multiply the rows by the columns and add up the components.In geology, seismic surveys are carried out using matrix technology. They are employed in the production of graphs, statistics, calculations, and scientific investigations and research in a range of fields.A matrix is a collection of numbers, while a vector is a list of numbers that can be in either a row or a column (one or more rows, one or more columns).To learn more about equation matrix refer to:
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19z+12=20z–8
help i dont really understanddd!!!
Answers
Answer:
z = 20
Step-by-step explanation:
subtract 19z from 20z, and add 8 to 12. you will be left with 20 = 1z. Divide 1 by 20 and you will have Xz =20.
I hope this helps!
The diagram shows a right-angled triangle.
24 cm
18 cm
_Not to scale
Calculate the value oft. Give your answer correct to 1 decimal place.
Answers
Answer:
can i have a photo, please?
Step-by-step explanation:
please help i am stuck and trying not to fail lol. also if you can show work pls
Answers
Given:
The figure of rectangle.
To find:
a. The diagonal of the rectangle.
b. The area of the rectangle.
c. perimeter of the rectangle.
Solution:
(a)
In a right angle triangle,
\(\sin \theta=\dfrac{Perpendicular}{Hypotenuse}\)
\(\sin 30=\dfrac{12}{Hypotenuse}\)
\(\dfrac{1}{2}=\dfrac{12}{Hypotenuse}\)
\(Hypotenuse=12\times 2\)
\(Hypotenuse=24\)
So, the diagonal of the of the rectangle is 24 units.
(b)
In a right angle triangle,
\(\tan \theta=\dfrac{Perpendicular}{Base}\)
\(\tan 30=\dfrac{12}{Base}\)
\(\dfrac{1}{\sqrt{3}}=\dfrac{12}{Base}\)
\(Base=12\sqrt{3}\)
Length of the rectangle is 12 and width of the rectangle is \(12\sqrt{3}\). So, the area of the rectangle is:
\(Area=length \times width\)
\(Area=12 \times 12\sqrt{3}\)
\(Area=144\sqrt{3}\)
So, the area of the rectangle is \(144\sqrt{3}\) sq. units.
(c)
Perimeter of the rectangle is:
\(P=2(length+width)\)
\(P=2(12+12\sqrt{3})\)
\(P=24+24\sqrt{3}\)
\(P\approx 65.57\)
Therefore, the perimeter of the rectangle is about 65.57 units.
22. How many positive integers less than 1000 a) are divisible by 7? b) are divisible by 7 but not by 11? c) are divisible by both 7 and 11? d) are divisible by either 7 or 11? e) are divisible by exactly one of 7 and 11? f ) are divisible by neither 7 nor 11? g) have distinct digits? h) have distinct digits and are even?
Answers
The set of positive integers less than 1000 that are:
a)Divisible by 7 are 142
b)Divisible by 7 but not by 11 are 130
c)Divisible by both 7 and 11 are 12
d)Divisible by either 7 or 11 are 220
e)Divisible by exactly one of 7 and 11 are 220
f)Divisible by neither 7 nor 11 are 780
g)Having distinct digits are 576
h)Having distinct digits and even are 337
We have,
A whole number that is greater than zero is known as positive integer
a)The positive numbers below 1000 that are divisible by 7 are 7, 14, 21, 28,..., 994.
Total terms: 994, divided by 7, plus (n-1)
There are 142 total terms below 1000 that are divisible by 7.
b) The numbers 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, and 924 are all divisible by both 7 and 11.
The total number of integers below 1000 that are divisible by 7 but not 11 therefore equals 142 - (total number of integers divisible by 7 and 11), which means that the total number of integers that fall into this category is 130.
c) The total amount of integers that can be divided by both 7 and 11 equals the total amount of integers that can be divided by 77.
There are 12 total integers below 1000 that can be divided by 77.
d) The total number of integers that can be divided by either 7 or 11 is equal to the sum of the numbers that can be divided by each of those numbers and the number that can be divided by 77.
The total number of integers below 1000 that are divisible by 11 is (11,22,33,...,990). 990 = 11 + (n-1) 11, which equals 90 integers.
Total integers that may be divided by both 7 and 11 are equal to 142 + 90 - 12 = 220.
e) The total number of integers that may be divided by either 7 or 11 perfectly is equal to 142 + 90 - 12 = 220 numbers.
f) The total number of integers that cannot be divided by either 7 or 11 is 1000 - (The total number of integers that can be divided by either 7 or 11), which is 1000 - 220 = 780 numbers.
g)Distinct digits from 1 to 100 = 100 - Total number of integers below 1000 with distinct digits = 1000 - (non-distinct digits) ( 11,22,33,44,55,66,77,88,99,100),
=> Unique digits from 1 to 100 equal 90.
=> The distinct numerals 101 to 200 equal 100. (101,110,111,112,113,114,115,116,117,118,119,121,122,131,133,141,144,151,155,161,166,171,177,181,188,191,199,200),
=> Unique digits from 101 to 200 are: 100 to 28, 72.
=> Unique numbers between 201 and 1000 = 72 x 8 = 576.
h)Different digits and even values equal to 337
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I'm having trouble with this problem "Solve the equation -8 + 6m = 1/2 (-4m +16) for m"
Answers
Let's begin by listing out the given information:
\(\begin{gathered} -8+6m=\frac{1}{2}(-4m+16) \\ \end{gathered}\)Let's proceed to expand the bracket. We have:
\(\begin{gathered} -8+6m=\frac{1}{2}(-4m+16) \\ -8+6m=-2m+8 \\ \end{gathered}\)We will put like terms together, we have:
\(\begin{gathered} 6m+2m=8+8 \\ 8m=16 \\ \text{Divide both sides by ''8'', we have:} \\ m=\frac{16}{8}=2 \\ m=2 \end{gathered}\)need help will give brainlist
Answers
Only set B: (-1,-3), (4,2), (6,4) appears to lie on the graph of a linear function, as the slopes between any two points remain constant.
To determine which set of points appears to lie on the graph of a linear function, we can check if the slope between any two points remains constant.
Let's calculate the slopes for each set of points:
A. (0,2), (3,1), (4,6)
The slope between (0,2) and (3,1):
m1 = (1 - 2) / (3 - 0) = -1/3
The slope between (3,1) and (4,6):
m2 = (6 - 1) / (4 - 3) = 5
We can see that the slopes are not equal, so this set of points does not lie on the graph of a linear function.
B. (-1,-3), (4,2), (6,4)
The slope between (-1,-3) and (4,2):
m1 = (2 - (-3)) / (4 - (-1)) = 5/5 = 1
The slope between (4,2) and (6,4):
m2 = (4 - 2) / (6 - 4) = 2/2 = 1
The slopes are equal, so this set of points appears to lie on the graph of a linear function.
C. (-3,-2), (0,0), (2,4)
The slope between (-3,-2) and (0,0):
m1 = (0 - (-2)) / (0 - (-3)) = 2/3
The slope between (0,0) and (2,4):
m2 = (4 - 0) / (2 - 0) = 4/2 = 2
The slopes are not equal, so this set of points does not lie on the graph of a linear function.
D. (5,-7), (0,-2), (2,2)
The slope between (5,-7) and (0,-2):
m1 = (-2 - (-7)) / (0 - 5) = 5/(-5) = -1
The slope between (0,-2) and (2,2):
m2 = (2 - (-2)) / (2 - 0) = 4/2 = 2
The slopes are not equal, so this set of points does not lie on the graph of a linear function.
Based on the calculations, only set B: (-1,-3), (4,2), (6,4) appears to lie on the graph of a linear function, as the slopes between any two points remain constant.
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is 12:4=3 or 12:3=4 which one is correct
Answers
Answer:
They are both correct
Step-by-step explanation:
12 divided by 4 is 3
12 divided by 3 is 4
Answer:
They are both correct, because 4 and 3 are both divisible factors of 12. When you see a, ":" that is a ratio. Ratios are comparisons or division.
Refer to the table of body temperatures (degrees Fahrenheit). Is there some meaningful way in which each body temperature
recorded at 8 AM is matched with the 12 AM temperature?
1
97.0
97.6
8 AM
12 AM
Subject
3
97.6
98.0
2
98.5
97.8
4
97.7
98.4
5
98.7
98.4
Choose the correct answer below.
A. No. The 8 AM temperatures are from one individual over five days and the 12 AM temperatures are from another
individual over five days.
B. Yes. The 8 AM temperatures are all from one individual over five days and the 12 AM temperatures are from a different
individual on the same five days, so each pair is matched.
C. Yes. Each column of 8 AM and 12 AM temperatures is recorded from the same subject, so each pair is matched.
D. Yes. The 8 AM temperatures are all from one individual over five days and the 12 AM temperatures are from the same
individual on the same five days, so each pair is matched.
Answers
Answer:
C
Step-by-step explanation:
i just did that question and got it right!!
Circle X is shown in the diagram.
Circle X is shown. 2 chords intersect at a point to form arcs a and b. Arc a is intercepted by angle 1. Arc b is intercepted by angle 2. Arcs d and c are the other 2 arcs.
Which equation can be used to solve for m∠1?
m∠1 = One-half(a – b)
m∠1 = One-half(a + b)
m∠1 = One-half(c – d)
m∠1 = One-half(c + d)
Answers
Answer:
The equation that can be used to solve for m∠1 is:
m∠1 = One-half(a – b)
This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:
m∠1 + m∠2 = One-half(a + b)
Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:
m∠1 + m∠2 + m∠3 = 180
where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:
m∠1 + m∠3 = 180
Substituting the equation for the sum of the measures of angles 1 and 2, we get:
m∠1 + One-half(a + b) = 180
Solving for m∠1, we get:
m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)
Can someone help me?
Answers
Answer:
QR is 1.2 due to both triangle are similar
Answer:
the answer should be 0.96 units
Step-by-step explanation:
1.6/2.0=.8
.8x1.2= .96
Kevin wants to save $600 to buy a TV. He saves $17 each week. The amount, A (in dollars), that he still needs after w weeks is given by the following function.
A (w)=600-17w
Answer the following questions.
(a) If Kevin still needs $277, how many weeks has he been saving?
weeks
(b) How much money does Kevin still need after 5 weeks?
$?
Answers
Answer:
A) Kevin has been saving money for 19 weeks.
B) Kevin still needs $515.
Step-by-step explanation:
A) 277=600-17x /-600
-17=-323 /÷(-17)
x=19
B) x=600-17×5
x=600-85
x= 515
Kemani Walker
Law of Sines
Jun 15, 9:29:00 PM
?
In ATUV, t = 820 inches, m/U=132° and m2V=25°. Find the length of u, to the
nearest inch.
Answer: u =
Submit Answer
Answers
The length of u, to the nearest inch, is 1818 inches.
To solve this problem, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant.
In this case, we'll use the following formula:
a/sin(A) = b/sin(B) = c/sin(C)
Let's label the sides and angles of the triangle:
Side a = u (length of u)
Side b = t (820 inches)
Side c = v (length of v)
Angle A = m/U (132°)
Angle B = m2V (25°)
Angle C = 180° - A - B (as the sum of angles in a triangle is 180°)
Now, we can use the Law of Sines to set up the equation:
u/sin(A) = t/sin(B)
Plugging in the given values:
u/sin(132°) = 820/sin(25°)
To find the length of u, we'll solve this equation for u.
u = (820 \(\times\) sin(132°)) / sin(25°)
Using a calculator, we can evaluate the right side of the equation to get the approximate value of u:
u ≈ (820 \(\times\) 0.9397) / 0.4226
u ≈ 1817.54 inches
Rounding to the nearest inch, we have:
u ≈ 1818 inches
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3. Yeirilis spent $24.45 on a shirt. She paid with
$30. What is her change?
Answers
Answer:
30.00 - 24.45
her change is
$ 5.55
MAKE A NUMBER LINE PLEASE
Answers
The answer is ,here is the number line with the given numbers:
-1, 0 ,1, 1.6, 3⁽¹/²⁾, 4 ,10 ,15, 314, 518 ,e, Π.
What is Real numbers?Real numbers are set of numbers that include all rational and irrational numbers. They are called "real" because they can be represented as point on the real number line, which is horizontal line that extend infinitely in both the directions.
Rational numbers is those that can be expressed as ratio of two integers, such as 1/2, 3/4, or -7/8. Irrational numbers, on the other hand, are those that cannot be expressed as ratio of two integers, such as √2, π, or e.
Note that the numbers are arranged in increasing order from left to right, and they are evenly spaced along the line. The numbers are placed in their appropriate locations based on their values relative to each other.
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Select the correct answer.
A figure shows the inscribed triangle ABC with center point O which bisects BO. An angle of C is 50 degrees.
In the diagram,
is a diameter of the circle with center O. If m∠
= 50°, what is m∠
?
A.
50°
B.
40°
C.
80°
D.
100°
Reset Next
Answers
Answer: C
Step-by-step explanation:
Refer to the previous exercise. The researchers wanted a sufficiently large sample to be able to estimate the probability of preferring the new analgesic to within 0.08, with confidence 0.95. If the true probability is 0.75, how large a sample is needed to achieve this accuracy
Answers
Answer:
The large sample n = 117.07
Step-by-step explanation:
Step(i):-
Given that the estimate error (M.E) = 0.08
The proportion (p) = 0.75
q =1-p = 1- 0.75 =0.25
Level of significance = 0.05
Z₀.₀₅ = 1.96≅ 2
Step(ii):-
The Marginal error is determined by
M.E = \(\frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }\)
\(0.08 = \frac{2 X \sqrt{0.75(1-0.75)} }{\sqrt{n} }\)
Cross multiplication , we get
\(\sqrt{n} = \frac{2 X \sqrt{0.75(1-0.75)} }{0.08 }\)
√n = \(\frac{2 X0.4330}{0.08} = 10.825\)
squaring on both sides , we get
n = 117.07
Final answer:-
The large sample n = 117.07
Can someten help me find the answer?
Answers
Answer:
D
Step-by-step explanation:
It subtracts.
f(x) = 3x² + 9x – 16
Find f(-8)
Answers
Answer: 104
Step-by-step explanation:
\(f(-8)\) represents \(f(x)\) evaluated at \(x=-8\).
\(f(-8)=3(-8)^2 +9(-8)-16\\\\=192-72-16\\\\=120-16\\\\=104\)
Alexander is drawing a map of the Federal Triangle in Washington, D.C. The actual Federal Triangle has a base of 300030003000 feet and height of 120012001200 feet. Alexander needs his drawing to fit on his paper, so he decides to make the base of his triangle 101010 inches.
1. What scale is Alexander using?
2. What is the height of Alexander's triangle in inches?
Answers
Alexander is utilizing a scale of 1 inch : 300 feet for his map.
The Alexander's triangle has a height of 4 inches in inches.
How to determine the map's scaleWhen comparing the initial dimensions as used by alexander, the scale of the map may be determined.
The scale is 1 inch: 300 feet since he used 10 inches to symbolize 3000 feet, this is gotten by diving both sides by 10
Using the scale factor 1 inch: 300 feet, the height of 1200 feet would be.
300 feet per inch, then ? inch is 1200 feet
? * 300 = 1200 * 1
? = 1200 / 300
? = 4 inches
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If R={(1,2),(2,3),(3,9),(4,5)} find R-1
Answers
Answer:
R-1={(2,1),(3,2),(9,3),(5,4)
Step-by-step explanation:
R-1={(2,1),(3,2),(9,3),(5,4) because (- 1) means reverse in relation
Working alone, Dan can sweep a porch in
15 minutes. Alberto can sweep the same
porch in 11 minutes. If they worked
together how long would it take them?
Answers
Answer:
It will take them 6.35 minutes
Step-by-step explanation:
The question can be solved when you know how much of the job can be done in minutes.
Therefore if Dan can do the job in 15 minutes he will be to sweep 1/15 of the porch in 1 minutes. Alberto can do the same job in 11 minutes, in 1 minutes he will do 1/11 of the job.
let
a = combined time together
1/15 + 1/11 = 1/a
(11 + 15)/165 = 1/a
26/165 = 1/a
cross multiply
26a = 165
divide both sides by 26
a = 165/26
a = 6.34615384615
a ≈ 6.35 minutes
It will take them 6.35 minutes
tutorials are exercise specific and are sometimes referred to as a sample problems. It will walk you through steps needed to solve a particular problem. It is similar to a
Answers
Answer:
In this case, there are many answers; since the question is a little ambiguous. See the explanation below.
Step-by-step explanation:
Tutorials are exercise-specific and are sometimes referred to as sample problems. A tutorial will walk you through the steps needed to solve a particular problem or problems of a kind. As such, what is a tutorial similar to?
1. A guide
2. A manual training e.g. on how to drive a car or a specific car type
3. A preamble to the main problem or arithmetic you want to solve
4. A preparation
5. A test of ability to conquer the main quest
6. A framework imitating what you'll meet ahead
what was the key to getting support for converting from petroleum to synthetic lubricants?
Answers
Answer:
Step-by-step explanation:
find the Pythagorean triplets of 5
Answers
Answer:
The Pythagorean Triplet that has 5 is 3-4-5
Step-by-step explanation:
We can prove this using Pythagorean Theorem: a² + b² = c²
3² + 4² = 5²
9 + 16 = 25
25 = 25
classify the following differential equation s given in both standard and differential form. Q5 only
Answers
y' = 2xy + x
Rewriting it in differential form, we get:
(2xy + x)dx - dy = 0
This is a first-order linear differential equation, which can be written in the form:
y' + P(x)y = Q(x)
where P(x) = -2x and Q(x) = x.
Therefore, the differential equation is a first-order linear differential equation.
What is 2 plus 4 please help
Answers
Answer:
It is, 6
Step-by-step explanation:
Good luck! Have a good day!! <33
Act like you have 2 fingers up and then add 4 more.
-3/4 ( 8y - 12 ) + 1/5 ( 15y - 30 )
Answers
-3(y-1)
PLEASE HELP ASAP
The diagrams show a polygon and the image of the polygon after a transformation.
Use the diagrams to determine which statements are true. Select all statements that are true.
Answers
The correct statements regarding the transformations are given as follows:
Parallel lines will always be parallel after a reflection.Lines that are not parallel will never be parallel after a translation.What are transformations on the graph of a function?Examples of transformations are given as follows:
A translation is defined as lateral or vertical movements.A reflection is either over one of the axis on the graph or over a line.A rotation is over a degree measure, either clockwise or counterclockwise.For a dilation, the coordinates of the vertices of the original figure are multiplied by the scale factor, which can either enlarge or reduce the figure.Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.
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