The sampling techniques are given as follows:
a) stratified sample.
b) simple random sample.
c) cluster sample.
d) systematic sample.
e) convenience sample.
How are samples classified?Samples may be 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.Then:
In item a, patient are divided into groups, and samples from each group are taken, hence stratified sampling is used.In item b, all patients are listed, and a random number table is used to select them, hence it is a simple random sample.In item c, the patients are divided into groups according to regions, and all elements of each group are sampled, hence cluster sampling was used.In item d, one every kth patient was sampled, with k = 500, hence it is a systematic sample.In item e, any of the discharged patients can be sampled, hence they are sampled according to convenience.More can be learned about sampling techniques at https://brainly.com/question/25122507
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How many minutes are not spent on instructions?
Answer: 1/5
Step-by-step explanation:
Answer:
I'm pretty sure the answer is 48 minutes!
3. An investor plans to invest $500/year and expects to get a 10.5% return. If the investor makes these contributions at the end of the next 20 years, what is the present value (PV) of this investment today?
The present value (PV) of the investment today is approximately $2,965.05.
To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.
The formula for the present value of an annuity is given by:
PV = C * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present Value
C = Cash flow per period
r = Interest rate per period
n = Number of periods
In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.
Let's plug in these values into the formula and calculate the present value (PV):
PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]
Using a calculator, we can evaluate the expression inside the brackets:
PV = $500 * [(1 - 0.376889) / 0.105]
Simplifying further:
PV = $500 * [0.623111 / 0.105]
PV = $500 * 5.930105
PV = $2,965.05
Therefore, the present value (PV) of the investment today is approximately $2,965.05.
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A training field is formed by joining a rectangle and two semicircles as shown below. The rectangle is 89 m long and 67 m wide. What is the length of a training track running around the field?
Answer: 155
Step-by-step explanation:
b. Logan continues the game with this clue: “My decimal is 3 hundredths less
than 3 tenths." Use pictures and/or words to show your thinking.
Answer:
Step-by-step explanation:
Three tenths is 3/10 or 30/100 so if we take three hundreds from this it is 27 over hundred ( 27/100).
Park Hyatt Philadelphia at the Bellevue, located at Walnut and Broad in downtown Philadelphia has a capacity of 240 king rooms. Customers of Hyatt are typically either leisure travelers or business customers. Hyatt charges a discount fare of $125 for a midweek stay (but requires booking a week in advance) which contrast the regular fare of $275. Typically, business customers book in the last minute, and are willing to pay the regular fare, if they can be guaranteed accommodation. Suppose we are interested in the bookings in Park Hyatt on August 6th (the day of our final exam). Hyatt knows that there are plenty of leisure travelers, willing to pay the low fares. However, all else being equal, Hyatt would like to fill those rooms with the high-fare travelers. The objective of Hyatt is to maximize the sum of revenue from both sections of the travelers. If Hyatt followed the ‘booking limit policy’, by reserving some rooms for last-minute business customers, how many rooms should it reserve? Assume that there is ample demand of leisure customers willing to pay the discount fare, and the number of business customers is normally distributed, with mean 50 and standard deviation 26. (6 points)
Answer:
\(X=53\)
Step-by-step explanation:
From the question we are told that:
Regular fare R= $275
Discount fare of $125
Mean \(\=x =50\)
Standard deviation \(\sigma= 26.\)
Generally, the equation for Critical Fraction is mathematically given by
\(C=\frac{Pf-Pd}{Pf}\)
\(C=\frac{275-125}{275}\)
\(C=0.5\)
From Z Distribution Table
\(Z=0.1131\)
Therefore
Reservation made is give as for High fare travellers is
\(X = \=x+(z* \sigma)\)
\(X = 50 + (0.1131 * 26)\)
\(X=53\)
431.67 In a different number, the 4 represents a value which is one-tenth of the value of the 4 in the number above. What value is represented by the 4 in the other number?
So the different number has a 4 with a value of 40.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To solve this problem, we need to first identify the place value of the digit 4 in the given number.
The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.
According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:
400/10 = 40
To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.
Therefore, So the different number has a 4 with a value of 40.
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helpppppppppppppppppppppppppppppppppppppp
Answer:
the last one
Step-by-step explanation:
there is no rhythm
The area of a rectangle is 40 square inches. The rectangle is 8 inches long. How wide is the rectangle?
A. 3 inches
B. 32 inches
C. 5 inches
D. 13 inches
Answer:
C. 5 inches
Step-by-step explanation:
I’m area you have to multiply L • W
But since we don’t know the width we can divide the length by the area.
40/8 = 5
So the answer would be 5.
Another way to solve this problem is with using guess and check.
I hope it helps! Have a great day!
Anygays~
Answer:
C. 5 inches
Step-by-step explanation:
Use the numbers we have in the word problem, so you´d divide 40 by 8 since you´re trying to find the width. 40 is the area and 8 is the length so divide it tofind the width.
40/8 = 5
ANSWER: 5 inches
I hope it helps! Have a great day!
7. Find the perimeter of an isosceles triangle whose base is 6 cm and two equal sides are 7.5 cm.
8. Perimeter of a regular nonagon is 99 cm, its side will be
9. Find the cost of fencing a square park with 4 rows of wires at the rate of Rs. 15.75 per metre, if
the side is 350 m long.
10. What is the length of wooden strip required to frame a photograph of length 33 cm and breadth
19 cm.
11. A wire 1m 68 cm long is cut into two pieces. One piece is used to make a regular hexagon and
the other is used to make a regular pentagon. Find the difference in the length of the pentagon and
hexagon formed.
12. The perimeter of a rectangular garden is 190 m and breadth is 10.5 m. Find the length and area
of the garden.
13. Compare the areas of: a) square of 25.4 cm b) rectangle of 15 cm and 12.5 cm
Also study Solved examples 3, 4 from page 67,
Examples 2, 3, 4 from page 62
The perimeter of the isosceles triangle whose base is 6 cm and two equal sides are 7.5 cm is 21 centi-meters.
What is isosceles triangle?
An isosceles triangle in geometry is one with at least two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception. The isosceles right triangle, the golden triangle, the faces of bipyramids, and some Catalan solids are all examples of isosceles triangles.
To calculate the perimeter of isosceles triangle, we use equation:
Perimeter = Base + 2(Two equal side)
Perimeter = 6 + 2(7.5)
Perimeter = 21 cm
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Write your answer as an integer or as a decimal rounded to the nearest tenth.
Applying the sine rule the value of side w is calculated to be 6.2
How to find the size of wThe size of w is calculated using the sine rule which states that the ratio of a side and the opposite angles are equal
the formula is
Sin A / a = Sin B / b = Sin C / c
applying the formula for the problem
Sine W / w = Sine X / x
plugging in the values
Sine 38 / w = Sine 84 / 10
cross multiplying
w = 10 x Sin 38 / Sine 84
x = 6.185
x = 6.2 to the nearest tenth
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You visit the tallest building in a city and drop a penny off the edge of the observation deck. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and then it will continue falling at the same rate. How many feet will the penny fall during the 8th second?
384 feet
272 feet
256 feet
240 feet
BRAINLIEST TO WHOEVER IS CORRECT PLEASE HELP
Simplify (z7z−5)−2.
A. −z14
B. 1 over z raised to the fourth power
C. −z4
D. 1 over z raised to the second power
Answer:
\(z^{-4} ; ~~ or ~~ \dfrac{1}{z^4}\)
Step-by-step explanation:
Law of exponents:\(\bf a^n * a^m = a^{m+n}\\\\(a^x)^y = a^{x*y}\\\\a^{-m}=\dfrac{1}{a^m}\)
\(\sf (Z^7*z^{-5})^{-2} = (Z^{7 +(-5)})^{-2}\) {When bases are same, add the exponents}
\(= (z^2)^{-2}\\\\= z^{2*(-2)} ~~ {\bf [(a^m)^n=a^{m*n}]}\\\\=z^{-4}\\\\=\dfrac{1}{z^4} ~~ {\bf[a^{-m}=\dfrac{1}{a^m}]}\)
Suppose that IQ scores in one region are normally distributed with a standard deviation of 14. Suppose also that exactly 58% of the individuals from this region have IQ scores of greater than 100 (and that 42% do not). What is the mean IQ score for this region?
Suppose that IQ scores in one region are normally distributed with a standard deviation of 14. the mean IQ score for this region is 97.2.
How to find the mean IQ score ?z =(x-mean)/standard deviation
58th percentile is a z-score of 0.202
Hence,
0.202=(100-mean)/14
2.828=100-mean
Multiplying through by 14
Mean IQ score = 100- 2.828
Mean IQ score =97.17
Mean IQ score =97.2 (Approximately)
Therefore the mean IQ score for this region is 97.2 .
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Plzz help me!!!
I will give you brainliest
Which statement is TRUE?
A)
The perimeter of the green rectangle is equal to the circumference of the
black circle.
B)
The perimeter of the green rectangle is less than the circumference of the
black circle.
C)
The perimeter of the green rectangle is greater than the circumference of
the black circle.
D)
The perimeter of the green rectangle exactly half of the circumference of
the black circle.
Answer:
Can you add a picture or visual model if there is one?
Step-by-step explanation:
Here are the shopping times (in minutes) of ten shoppers at a local grocery store.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of shopping times in that class.
(Note that we are using a class width of 5.)
The frequency which is to filled in the table is 1, 4, 2 and 4.
Given that;
All shopping time of ten shopkeeper:
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.
Since, Shopping time is given as ,
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
And, Intervals for which frequency is given is ,
18 to 22, 23 to 27, 28 to 32, 33 to 37.
Hence, WE get;
Numbers in the range 18 to 22 = 18 therefore 1
Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4
Numbers in the range 28 to 32 = 29, 28 therefore 2
Numbers in the range 33 to 37 = 36, 33, 37, therefore 3
Hence, the frequency which is to filled are 1, 4, 2 and 4.
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Mr. Marshal spent his salary of $8 400 in the following manner: Rental .....1/5 Food.......1/10 Bank ......1/4 Miscellaneous ......... the remainder. what fraction of the money was spent on miscellaneous. how much did he spend on rental. if marshal spent 4/9 of miscellaneous on a trip what fraction of his entire salary was spent on the trip ?
Mr. Marshal spent 1/4 of his salary on miscellaneous expenses and $1,680 on rental; therefore, he spent 1/36 of his entire salary on the trip.
To find the fraction of money spent on miscellaneous, we need to calculate the sum of the fractions spent on rental, food, and bank and subtract it from 1.
Rental: 1/5
Food: 1/10
Bank: 1/4
To find the fraction spent on miscellaneous:
Fraction spent on miscellaneous = 1 - (Rental + Food + Bank)
Rental + Food + Bank = 1/5 + 1/10 + 1/4 = (8 + 4 + 5)/40 = 17/40
Fraction spent on miscellaneous = 1 - 17/40 = 23/40
So, Mr. Marshal spent 23/40 of his salary on miscellaneous.
To find the amount spent on rental, we multiply the fraction spent on rental by his salary:
Amount spent on rental = (1/5) \(\times\) $8,400 = $1,680
Therefore, Mr. Marshal spent $1,680 on rental.
If Mr. Marshal spent 4/9 of the miscellaneous amount on a trip, we need to calculate the fraction of his entire salary spent on the trip.
Fraction spent on the trip = (4/9) \(\times\) (23/40) = 92/360 = 23/90
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Find the midpoint of each line segment
Answer:
(0.5, 2)
Step-by-step explanation:
\(\left(\frac{-4+5}{2}, \frac{0+4}{2} \right)=(0.5, 2)\)
43) A tree 13 feet high grows at the rate of3feet each year. How many years will it take for the tree to grow to a height of 28 feet?
Which equation best represents the relationship between x and y in the graph?
I’ll give brainliest
Ashley is selling goodie bags for a school bake sale . It costs her $250 for the ingredients to make the treats and $ 1.25 to package them . She plans on selling the goodie bags for $ 3.60 . How many goodie bags will she need to sell in order to break even .
The number of goodie bags she will need to sell is 107.
How many goodie bag must she sell?Breakeven is when profit is zero. it is the point where total cost is equal to total revenue.
Breakeven: Total cost = total revenue
fixed cost + variable cost = price x quantity sold
fixed cost + (cost per unit x quantity sold)
$250 + (1.25 x q) = 3.60 x q
$250 + 1.25q = 3.60q
In order to determine the value of q, take the following steps:
Combine and add similar terms :
$250 = 3.60q - 1.25q
$250 = 2.35q
Divide both sides o the equation by 2.35
q = 250/2.35
q = 106.3 = 107
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Fort-eight students signed up to volunteer for a race. There were 3 equal groups of students and each group had a different task. How many students were in each group?
Answer:
16
Step-by-step explanation:
48 ÷ 3 = 16
hope this helps...
Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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My math assignment is due in 15 min pls help with this question
Answer:
1st quartile: 2.6
2nd quartile or median: 3.1
3rd quartile: 3.25
Step-by-step explanation:
Evaluate the expression -7(-6)+12
Answer: 54
Step-by-step explanation: coz I juss know
find perimeter of each polygon. Assume that the lines which appear to be tangent are tangent. Part 1. NO LINKS OF ANY KIND.
9514 1404 393
Answer:
7) 57.8
8) 73.8
Step-by-step explanation:
The tangents from a given point are the same length. This means the perimeter can be calculated as twice the length of one side plus twice the length of an opposite tangent.
7) P = 2(22.2 +6.7) = 57.8
8) P = 2(22.9 +14) = 73.8
a positive integer is nice if there is a positive integer with exactly four positive divisors (including and ) such that the sum of the four divisors is equal to . how many numbers in the set are nice?
Answer:
A positive integer with exactly four positive divisors (including and ) such that the sum of the four divisors is equal to The sum of four divisors is equal to 45360.
What is an integer?
Zero, a positive natural number, or an unsigned negative integer are all examples of integers. The inverses of the equivalent positive numbers, which are additive, are the negative numbers. The boldface Z or blackboard bold "Z" is frequently used in mathematical notation to represent a collection of numbers.
Step-by-step explanation:
We know That total No. of factors
=product of (prime no′s power+1)
If N is the number of different divisors:
N=(p1+1)⋅(p2+1)⋅⋅⋅(pn+1)
100= 2^2 × 5^2
=2×2×5×5= (1+1)(1+1)(4+1)(4+1)
Then the integer n= a1^p1⋅a2^p2⋅⋅⋅⋅an^pn
For the smallest value: p1=4,p2=4,p3=1,p4=1
Then,
n=a1^4×a2^4×a3^1×a4^1
=24⋅34⋅51⋅71
=16⋅81⋅5⋅7
=45360
Hence, the positive integer with exactly four positive divisors (including and ) such that the sum of the four divisors is equal to The sum of four divisors is equal to 45360.
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What value is equivalent to (8+2)power of 2 + (6 − 4) × 3?
Answer: 106
Step-by-step explanation:
(8+2)^2 + (6 − 4) × 3
= (10)^2 + 2 × 3
= 100 + 6
= 106
Therefore, the value equivalent to (8+2)^2 + (6 − 4) × 3 is 106.
On a map, 1 inch equals 20 miles. If two cities are 3 inches apart on the map, how far are they actually apart?
Answer: 60 miles
Step-by-step explanation:
1 in. times 3 = 3 in
20 mi times 3 = 60 mi.
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis against using a random sample of specimens. Calculate the P-value if the observed statistic is . Suppose that the distribution of the sample mean is approximately normal.
Complete question :
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis H0 : μ = 12 against H1 : μ < 12 using a random sample of n = 4 specimens. Calculate the P-value if the observed statistic is xbar = 11.5. Suppose that the distribution of the sample mean is approximately normal.
Answer:
0.02275
Step-by-step explanation:
Given :
Population mean μ = 12
Standard deviation, σ = 0.5
Sample size, n = 4
Observed statistic, xbar = 11.5
H0 : μ = 12
H1 : μ < 12
The test statistic = (xbar - μ) ÷ σ/sqrt(n)
Test statistic =. (11.5 - 12) ÷ 0.5/sqrt(4)
Test statistic = - 0.5 ÷ 0.5/2
Teat statistic = - 0.5 / 0.25 = - 2
Since, it is stated that, distribution is approximately normal ; then we can use the Z distribution and obtain our Pvalue.
We could obtain P value using the Pvalue Z distribution calculator at α = 0.05, 1 - tail
Pvalue = 0.02275
Or
P(x < - 2) = 0.02275 (Z distribution table)
What is the central angle(pic included)
Answer:
72
Step-by-step explanation:
circumference = 20
arc = 4
4/20 =1/5
a circle = 360°
1/5 * 360 = 72