The sampling method used by the principal in this scenario is stratified sampling.
What is the sampling?Stratified sampling involves dividing the population into distinct subgroups, or strata, based on certain characteristics (in this case, grade level), and then randomly sampling from each stratum to ensure that each subgroup is represented in the sample.
By organizing the school's population by grade level and sampling from each grade level (freshman, sophomore, junior, and senior), the principal is using stratified sampling to gather data on preferred elective courses.
Therefore, This method helps ensure that the sample is representative of the entire population and can provide more accurate results compared to other sampling methods, such as convenience sampling, systematic sampling, or volunteer sampling, which may introduce biases or limitations in the sample.
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See text below
3. A principal wants to know what electives should be added to the school schedule. He organizes the school's population by grade level and then randomly samples fifty students in the freshman, sophomore, junior, and senior classes about their preferred elective course. What sampling method did the principal use?
convenience sampling
stratified sampling
systematic sampling
volunteer sampling
I don't understand this. Plz help!!!
Answer:
if you can, start from the y intercept (4) and then go 3 up,2 right
Step-by-step explanation:
-2[3(6+2)-4²]
please show work
-16
-2[3(6+2)-4^2]
-2[3(8)-4^2]
-2[3(8)-16]
-2[24-16]
-2[8]
-16
HELP HELP HELP HELP HELP!!!!
Answer:
5)m=11/10
6)m=-17/2
7)m=18.13
8)m=-26/9
BTW The M is an EXAMPLE
Step-by-step explanation:
Find the volume of the prism. Round to the nearest tenth if necessary.
Answer:
27.2
Step-by-step explanation:
V = (1/2)(2.6)(5.1)(4.1), which is 27.2 to the nearest tenth
Help me please I’m almost done ayyayayayatayayy
Answer:
4(5j+3j) is 32j
4(3j) is 12j
5j+3j+9j is 17j
Step-by-step explanation:
1. A lawn sprinkler sprays water 3 feet in every directions as it rotates. What is the area of the sprinkled lawn?
2. A storm is expected to hit 6 miles in every direction from a small town. What is the area that the storm will affect?
The following parts can be solved by the concept of Area.
1. The area of the sprinkled lawn is 9π square feet, where π is approximately 3.14.
2. The area that the storm will affect is 113.1 square miles, where the value of π is approximately 3.14.
1. To find the area of the sprinkled lawn, we need to find the area covered by the sprinkler in one rotation and then multiply it by the number of rotations. The sprinkler sprays water 3 feet in every direction, so it covers a circular area with a radius of 3 feet. The area of a circle with a radius of 3 feet is given by the formula A = πr^2, where r is the radius of the circle.
Therefore, the area covered by the sprinkler in one rotation is 9π square feet (A = π x 3^2 = 9π). If the sprinkler rotates n times, then the total area covered by the sprinkler is n times the area covered in one rotation.
2. To find the area that the storm will affect, we need to find the area of the circle with a radius of 6 miles. The area of a circle is given by the formula A = πr^2, where r is the radius of the circle. Therefore, the area that the storm will affect is 36π square miles (A = π x 6^2 = 36π). To get a numerical value, we can use the approximation of π as 3.14, which gives us an area of approximately 113.1 square miles (A = 3.14 x 36 = 113.1).
Thus, the storm will affect an area of approximately 113.1 square miles.
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what is 9+-234*37^2-38/483
Answer:
-2.994*10^6
Step-by-step explanation:
You are a salesperson at Ashley Furniture Home Store. You were able to sell a family a bedroom suit for $1684.00. You make 2.5% commission on each sale. How much did you make on the sale?
As the salesperson at Ashley Furniture Home Store, we are required to find out how much we made on the sale of the family’s bedroom suite worth $1684.00, with a commission rate of 2.5%.
Now we can calculate the commission that was earned from the sale by using the following formula:
Commission = Total Sales x Commission Rate
Commission = $1684.00 x 0.025
Commission = $42.10
Therefore, the salesperson will earn $42.10 as commission from the sale.
As a salesperson, it is essential to have an understanding of how the commission system works to earn an additional income. The commission rate is a percentage of the total sales value that a salesperson earns when they make a sale. Commission systems are used widely in the sales industry to motivate salespeople and encourage them to sell more products. As a salesperson, when you sell an item, you earn a percentage of that item’s price as your commission. In this case, the salesperson sold a bedroom suit worth $1684.00 with a commission rate of 2.5%. Therefore, the salesperson earns a commission of $42.10.
It is necessary to remember that commission systems can vary depending on the company and the industry; hence, it is crucial to understand your company’s commission system.Commission-based jobs can be advantageous to salespeople since they provide an extra source of income that is dependent on their sales performance. The commission motivates salespeople to work harder and sell more products. If the salespeople are good at their job, they can earn a lot of money in commissions. However, commission-based jobs come with risks. A bad sales performance could lead to low pay or no income at all. Therefore, salespeople need to work hard and have excellent communication skills to succeed
The salesperson earned a commission of $42.10 from the sale of a bedroom suit worth $1684.00, with a commission rate of 2.5%. Commission-based jobs can be beneficial for salespeople as they offer an extra source of income. However, salespeople need to work hard, have excellent communication skills, and understand their company’s commission system to succeed.
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If 2A:3B=5:6 and 3B:2C=36:15, then find A:C
Answer:
A : C = 2 : 1
Step-by-step explanation:
Expressing the ratios in fractional form
\(\frac{2A}{3B}\) = \(\frac{5}{6}\) ( cross- multiply )
15B = 12A ( divide both sides by 15 )
B = \(\frac{12}{15}\) A = \(\frac{4}{5}\) A
and
\(\frac{3B}{2C}\) = \(\frac{36}{15}\) ( cross- multiply )
45B = 72C ( substitute B = \(\frac{4}{5}\) A )
45 × \(\frac{4}{5}\) A = 72C
36A = 72C ( divide both sides by C )
36 × \(\frac{A}{C}\) = 72 ( divide both sides by 36 )
\(\frac{A}{C}\) = \(\frac{72}{36}\) = \(\frac{2}{1}\)
Then
A : C = 2 : 1
find the probability of drawing a black face card on the first draw, replacing it, and drawing a 9 card on the second draw?
I need help. What is 1/4 x = 3 ?
Answer:
12
Step-by-step explanation:
Multiply both sides by 4
Answer:
X=12
Hope it helps.
here,I did cross multiplicationIf ABC ~ DEF and the scale factor from ABC to DEF is 2, what are the lengths of , , and , respectively?
Answer:
4,8,12 hope that helps heeeeheheʘ‿ʘ
Solve the following problems using the quadratic formula
The roots of the quadratic equation, x²+4x+1=0, are x = -2+√3 or -2-√3
What is the quadratic formula?The quadratic formula is a formula that provides the solution(s) to a quadratic equation.
Quadratic formula :-
x = -b±√b²-4ac / 2a
Given that, a quadratic equation, x²+4x+1=0, we need to solve it by using quadratic formula,
Quadratic formula :-
x = -b±√b²-4ac / 2a
Here, a = 1, b = 4 and c = 1
Therefore,
x = -4±√4²-4×1×1 / 2
x = -4±√16-4 / 2
x = -4±√12 / 2
x = -4±2√3 / 2
x = -2±√3
Therefore, x = -2+√3 or -2-√3
Hence, the roots of the quadratic equation, x²+4x+1=0, are x = -2+√3 or -2-√3
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The question was incomplete, so I solved for,
Solve the following quadratic equation by using quadratic formula method: x²+4x+1=0
Given that f(x) = 2x - 5, find the value of x that makes f(x) = 15.
(10 points)
25
20
O 10
05
Answer:
10
2(10)-5
20-5
15
10 should be your answer
The solution is : the value of x that makes f(x) = 15, is x = 10.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Left to Right
Algebra I
Functions
Function Notation
we have,
Step 1: Define
f(x) = 2x - 5
f(x) = 15
Step 2: Solve for x
Substitute in f(x) [Function]: 15 = 2x - 5
[Addition Property of Equality] Add 5 on both sides: 20 = 2x
[Division Property of Equality] Divide 2 on both sides: 10 = x
Rewrite: x = 10
hence, The solution is : the value of x that makes f(x) = 15, is x = 10.
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You have a mortagege of $275,000
after down payment with an interest
rate of 3% for 30 years.
What does P, r,n, and t are equal to?
Answer:
Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this
Step-by-step explanation:
Can someone help me please?
Answer:
Associative property.
Step-by-step explanation:
\(assosiative \: property \\ for \: any \: nubers \: likeur \: question \: \\ didnt \: affect \: theanswer \\ thank \: you\)
Alonzo buys a roast that weighs 2.5 pounds and costs 4.36 a pound. Find the amount he pays. No funny s***
Answer:
$10.90
Step-by-step explanation:
2.5 * 4.36
A circular flower bed is 22 m in diameter and has a circular sidewalk around it that is 4 m wide. Find the area of the sidewalk in square meters. Use 3.14 for pi
Answer:
326.6 m^2
to nearest tenth.
Step-by-step explanation:
The radius of the flower bed = 1/2 * 22 = 11m
The radius of the whole area included the sidewalk = 11 + 4 = 15 m
So the area of the sidewalk = area of the whole - area of flower bed
= 3.14 * 15^2 - 3.14* 11^2
= 326.6 m^2.
12. eight people are to be seated around a table; the chairs don't matter, only who is next to whom, but right and left are different. two people, x and y, are seated next to each other. how many seating arrangements are possible?
There are 1440 possible seating arrangements for eight people with X and Y sitting next to each other around the table.
To find the number of possible seating arrangements for eight people with X and Y sitting next to each other, follow these steps:
1. Treat X and Y as a single unit since they are seated next to each other. This means we now have 7 "units" to arrange (6 individual people and 1 unit of X and Y together).
2. Determine the number of arrangements for these 7 units around the table. Since the chairs don't matter and right and left are different, we use the formula for circular permutations: (n-1)! = (7-1)! = 6! = 720 possible arrangements.
3. Within the X and Y unit, there are 2 possible arrangements: X can be on the left of Y or on the right. So, we need to multiply the number of arrangements by the arrangements within the X and Y unit: 720 * 2 = 1440.
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what is the rate of 60 pounds for 6$
Answer:
10 lbs per dollar
Step-by-step explanation:
if you divide each one by 6 then you get 10 pounds for $1
3 cards are drawn from a standard deck without replacement. what is the probability that at least one of the cards drawn is a 3? express your answer as a fraction or a decimal number rounded to four decimal places.
When drawing 3 cards from a standard deck without replacement, there is approximately a 16.60% chance of drawing at least one 3 card.
The probability of drawing at least one 3 card from a standard deck of 52 cards without replacement can be calculated using the concept of complementary probability.
We can find the probability of not drawing any 3 cards and subtract it from 1 to get the probability of drawing at least one 3 card.
To find the probability of not drawing any 3 cards, we first determine the number of ways to choose 3 cards from the 52-card deck without replacement, which is denoted as C(52, 3) or "52 choose 3." This can be calculated as:
C(52, 3) = 52! / (3! * (52-3)!) = 22,100.
Now, let's determine the number of ways to choose 3 cards from the 49 non-3 cards in the deck, which is denoted as C(49, 3) or "49 choose 3." This can be calculated as:
C(49, 3) = 49! / (3! * (49-3)!) = 18,424.
Therefore, the probability of not drawing any 3 cards is given by:
P(not drawing any 3 cards) = C(49, 3) / C(52, 3) = 18,424 / 22,100 = 0.8340 (rounded to four decimal places).
Since we want the probability of drawing at least one 3 card, we can subtract the probability of not drawing any 3 cards from 1:
P(at least one 3 card) = 1 - P(not drawing any 3 cards) = 1 - 0.8340 = 0.1660 (rounded to four decimal places).
Therefore, the probability that at least one of the cards drawn is a 3 is approximately 0.1660 or 16.60%.
To summarize, when drawing 3 cards from a standard deck without replacement, there is approximately a 16.60% chance of drawing at least one 3 card.
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Seema had 150 marbles.rani had 20 marbles more than seema.alokhad 50 marbles lass than rani how many marbles did rani have
Answer: 170 marbles
Step-by-step explanation: Rani had 20 more marbles than Seema and Seema had 150. 150+20 is 170.
find the area of this figure
Answer:
170 in²
Step-by-step explanation:
This trapezoid is broken up into two shapes: a triangle and a parallelogram.
The formula for area of a triangle is b (base) × h(height) ÷ 2.
The base of the triangle is 4 and the height is 10.
b (base) × h(height) ÷ 2
10 × 14 ÷ 2 = 70
-------------------------------------------------------------------------------------------------------------
The formula for area of a parallelogram is b (base) × h(height).
The base of the parallelogram is 10 and the is 10 as well.
b (base) × h(height)
10 × 10 = 100.
-------------------------------------------------------------------------------------------------------------
Lastly, add both areas.
100 + 70 = 170
Therefore, the area of this figure is 170 in².
Select the correct graph of linear function shown in each table below
I REALLY NEED HELP.It’s due at 3:30 today
Answer:
from top to bottom it is b c a
What is the value of x in the figure?
60°
(2x)
Answer:
The term X is a variable that takes the place of any number. ... Similarly 2 multiplied by X results to X plus X which means a number added to itself since multiplication is a repeated addition. So 2X = 2 * X = X + X = 2X.
Step-by-step explanation:
can i have brainliest
Answer:
x=30
Step-by-step explanation:
Since both of the acute angles have around or similar degrees, they will be the same. But even without that information we can see that each of the angles look the same. We already know that there are 360° in a circle, making 180° in a semi-circle. We can add 60+60 which will give us 120°. 360-120=240, which dividing that by 2 will give us 120, and if we were figuring out the other 2 would be 120° each.
someone pls help, you will have my respect✊
Elisa's error is multiplying both sides of the equation by 4.
The correct solution to the equation is shown below and the value of x is 15/2 or 7.5.
How to evaluate and solve the given equation?In order to evaluate and solve this equation, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right. Lastly, the mathematical operations of addition or subtraction would be performed from left to right.
In this scenario and exercise, the first step is adding 3 to both sides of the equation as follows;
x/2 - 3 = 3/4
x/2 - 3 + 3 = 3/4 + 3
x/2 = 15/4
By cross-multiplying, we have the following:
4x = 30
x = 30/4
x = 15/2 or 7.5
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im confused on how to do this can someone explain???
Answer: you add them all up
Step-by-step explanation: you can get the answer from above and dont trust this answer.
can anyone help me solve this?
Step-by-step explanation:
a triangle,=180
so 68+35-180=77
then 77+68=145
Multiply the starting price by the right term that uses the compound average to show that the arithmetic mean does not recover the final price while the geometric and continuous means do. Convert the percent averages to fractions.
$53. 07 x (1 + arith mean) 3 = 53.07 x (1 + #21 %) 3 = #22
$53. 07 x (1 + geom mean) 3 = 53.07 x (1 + #23 %) 3 = $ #24
$53. 07 x e cont mean x 3 = 53.07 x e #25 % x 3 = $ #26
I need help filling out numbers #21 through #26
The values for numbers #21 through #26 are as follows:
#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397
#21: 2.33% (arithmetic mean as a fraction: 0.0233)
#22: $56.4842 (result of the calculation)
#23: 1.85% (geometric mean as a fraction: 0.0185)
#24: $56.4148 (result of the calculation)
#25: 3.64% (continuous mean as a fraction: 0.0364)
#26: $57.4397 (result of the calculation)
To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.
#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.
#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.
#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.
#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.
#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.
#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.
Hence, the values for numbers #21 through #26 are as calculated above.
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A manufacturer's men jeans purchases zippers in lots of 500.The jeans manufacturer uses single sample acceptance whether to accept the lot.The manufacturer uses c=2 as the acceptance number . Suppose 3% non conforming zippers are acceptable to the manufacturer and 8% non confirming zippers are not acceptable .let incoming quality be 4%.
1)construct an OC curve
2)AOQ if rejected lots are screened and all defective zippers are replaced by non defectives.
3)Average Total Inspection
We will construct an Operating Characteristic (OC) curve to analyze the performance of the acceptance plan. Finally, we will determine the Average Total Inspection required for this acceptance plan.
To construct the OC curve, we need to calculate the probabilities of accepting or rejecting different percentages of non-conforming zippers. Given that 3% non-conforming zippers are acceptable, we can calculate the probability of accepting a lot with 3% non-conforming zippers using binomial distribution. Similarly, for the unacceptable range of 8% non-conforming zippers, we can calculate the probability of rejecting a lot. By varying the percentage of non-conforming zippers, we can plot the OC curve.
For the AOQ calculation, if a lot is rejected, it undergoes screening and all defective zippers are replaced with non-defective ones. The AOQ is the average proportion of non-conforming zippers in the accepted lots after screening and replacement. This can be calculated by considering the proportion of non-conforming zippers in the rejected lots, the proportion of non-conforming zippers in the incoming lots, and the proportion of non-conforming zippers remaining in the accepted lots after screening.
The Average Total Inspection is calculated by multiplying the average proportion of lots inspected by the number of items in each lot. In this case, since the manufacturer uses single sample acceptance, the average proportion of lots inspected can be determined based on the acceptance number and the probabilities of accepting or rejecting different percentages of non-conforming zippers.
By analyzing the OC curve, AOQ, and Average Total Inspection, the manufacturer can evaluate the performance and cost-effectiveness of their acceptance plan for zippers.
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