The sampling method used by the principal is Stratified sampling.
What is Stratified sampling?
Stratified sampling is a sampling method where the population is divided into non-overlapping subgroups, called strata, based on certain characteristics or attributes, and then a random sample is drawn from each stratum.
In this case, the principal organized the school's population by grade level, which created four strata: freshman, sophomore, junior, and senior classes. The principal then randomly sampled fifty students from each of these four strata to collect data on their preferred elective course. This approach ensures that each grade level is represented in the sample, which can provide a more accurate and representative picture of the preferences of students in each grade level, compared to other sampling methods.
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Which option shows the expression correctly combined? 8 - 3(4 -9x) *
20-45x
23x
27x-4
Answer:
27x-4
Step-by-step explanation:
Seis restado de c es mayor que 24
The given statement in the form of inequality is given as -
c - 6 > 24.
What is an inequality? What are algebraic expressions?An inequality is used to make unequal comparisons between two or more expressions. For example → ax + b > c
In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is the statement as -
"Six subtracted from c is greater than 24"
We can write the inequality as -
c - 6 > 24
Therefore, the given statement in the form of inequality is given as -
c - 6 > 24.
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{Question in english -
Six subtracted from c is greater than 24}
Which statements accurately compare the two data sets? Select three options.
The typical student takes longer to get ready for school than the typical teacher.
The typical teacher takes longer to get ready for school than the typical student.
The amount of time it takes students to get ready is more variable than the amount of time it takes teachers to get
ready.
The amount of time it takes teachers to get ready is more variable than the amount of time it takes students to get
ready.
It typically takes teachers 9 minutes longer than students to get ready for school.
It typically takes teachers 9 minutes longer than students to get ready for school.
What is data sets?
A dataset is a collection of data that is organized in a specific way, typically into rows and columns, with each column representing a variable and each row representing an observation. A dataset can be made up of various types of data, such as numerical data, categorical data, or text data, and can be used for various purposes such as analysis, modeling, and prediction. In the context of statistics and data analysis, a dataset is often used to represent a population or a sample of a population, which can be analyzed to draw insights, make predictions, or test hypotheses.
Based on the given statements, the following three options accurately compare the two data sets:
1.The typical student takes longer to get ready for school than the typical teacher.
2.The amount of time it takes students to get ready is more variable than the amount of time it takes teachers to get ready.
3.It typically takes teachers 9 minutes longer than students to get ready for school.
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Which of the following is an equation of the line through
(11, -3) and (7, 9)?
A y=-1/3x - 20/3
B y = 1/3x - 20/3
C y=-3x + 30
D y = 3x - 12
Is the function represented by the table non-linear?
what are the measures of angle B and D
Answer:
n=10
Step-by-step explanation:
Feng went shopping for a new pair of pants because of a sale. The store was offering a 40% discount. If the price on the tag was $33, what would be the price after the discount but before tax, to the nearest dollar and cent?
We need to know about percentage to solve the problem. The price of the pair of pants after discount but before tax is $19.8
Percentage of a number gives us a certain part of the quantity, suppose we say that 20% of 100 then we have 20. It can be defined as a given part in every hundred. In this question we know that the store Feng goes to buy a pair of pants offers 40% discount, which means that Feng can save 40% of the price of the pants. The original price on tag is given as $33, we have to find what 40% of $33 is and then subtract that amount from $33 to get the price of the pair of pants after discount but before tax.
Discount=\(\frac{40}{100}\)x33=132/10=13.2
The price of the pants after discount =$(33-13.2)=$19.8
Therefore we found that the price of the pair of pants after discount but before tax is $19.8
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Item 1
Joanna has of a gallon of milk left that has an expiration date in 6 days. If she splits the milk
equally among her next 6 bowls of cereal, how much milk will she use in each bowl?
Answer:
Joanna will use 1 gallon of milk in each bowl.
Step-by-step explanation:
Divide 6 into 6 bowls to get 1
What is the first step when adding and subtracting rational expressions?
The First step in adding and subtracting the rational expression is making the denominator equal .
The Rational Expression is defined as the expression that is written in the p/q form , where q ≠ 0 .
Let us understand adding and subtracting of the rational expression by an Example .
For Example : add the rational expressions 2/3 and 1/4 .
The First Step in adding them is to make the denominator equal ,
to make the denominator equal , we take LCM ,
the LCM of 3 and 4 is 12 ,
the rational expression become ⇒ 8/12 and 3/12 .
On adding , we get ; (8 + 3)/12 = 11/12 .
On subtracting , we get ; (8 - 3)/12 = 5/12 .
Therefore , making the denominator equal is the first step for adding and subtracting rational expressions .
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the table layout and relationship structure of a relational database is called its:
The table layout and relationship structure of a relational database is called its schema.
A schema in a relational database refers to the overall structure and organization of tables, their attributes (columns), and the relationships between them. It defines the blueprint for how the data is organized and stored in the database.
The schema includes information such as the table names, column names, data types, constraints, and the relationships established through keys (such as primary keys and foreign keys). It provides a logical representation of the database structure and helps ensure data integrity and consistency.
The schema serves as a guide for creating, modifying, and querying the database tables. It defines the structure that enforces rules and relationships between tables, facilitating data manipulation and retrieval.
By designing a well-defined schema, database administrators and developers can establish the foundation for efficient data storage, retrieval, and management within a relational database system.
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Which situation is best modeled by a Poisson distribution? O Suppose a bag contains 100 letter tiles. Seven letters are selected at random without replacement. What is the probability of obtaining five or more vowels? O Suppose that the city bus arrives at six-minute intervals. What is the probability that a passenger will have to wait more than 10 minutes for a bus? O The avcrage number of data cntry crrors at a busincss is twelve characters for cvery 1000 characters entered. What is the probability that there will be more than 48 data entry errors in the next 5000 characters entered?
O A basketball player shoots 76.8% from the free throw line. What is the probability that she will make 10 0 OThe probability of a based coin coming up heads is 51.5%. What is the probability of obtaining at least 15 heads consecutive free throws before missing her first one? in 25 tosses of this coin?
Option b, The situation is best modeled by a Poisson distribution if the average number of data entry errors at a business is twelve characters for every 1000 characters entered.
The situation that is best modeled by a Poisson distribution is the city bus arriving at six-minute intervals (option b). Events that happen continuously and independently of one another across time are modeled by the Poisson distribution.
In this instance, the city bus's arrival is a chance occurrence that happens often (every six minutes) and independently of other occurrences (the arrival time of previous buses).
Different potential outcomes, which either incorporate a restricted example size (choice a), a nonstop conveyance (choice c), or a Bernoulli dissemination (choice d), which predicts the probability of progress or disappointment in a solitary preliminary, don't meet the necessities for a Poisson circulation.
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Which of the following sets of ordered pairs is not a function?
{(0, 2), (1, 4), (2, 5), (3, 6)}
{(-1, 2), (1, 3), (1, 5), (-3, 4)}
{(0, 2), (1, 2), (2, 2), (3, 2)}
{(-4,3), (-1, 1), (-2,5), (3, 7)}
Answer:
The second set
Step-by-step explanation:
The second set is not a function because there is an input with more than one output.
What is 6% of 24.55 rounding to the nearest hundredth
Answer:
24.56!
Step-by-step explanation:
4 or less stays the same 5 or more goes up
find the L in the cone.
We can use the pythagorean theorem to answer this question.
We know that \(l\) is the hypotenuse, and the 2 sides are 7 and 7.
So, we can build the equation:
\(7^2+7^2 = l^2\)
\(98 = l^2\)
\(\sqrt{98} = l\)
please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
the starting salaries of individuals with an mba degree are normally distributed with a mean of $55,000 and a standard deviation of $6,000. what percentage of mbas will have starting salaries of $47,000 to $63,000? a. 40.88% b. 50% c. 81.76% d. 31.76%
Answer:
The answer is c. 81.76%
given limit as x approaches infinity of a sub n over b sub n equals 3.14159 comma which of the following statements is true?an x-bo an converges by the limit comparison test if bn diverges. an converges by the limit comparison test if bn converges. an converges by the limit comparison test to 3.14159. bn converges by the limit comparison test to 3. 14159.
Here, limit as x approaches infinity of a sub n over b sub n equals 3.14159. The statement that is true is a converges by the limit comparison test if b_n converges. What is the limit comparison test? The limit comparison test is a convergence or divergence test for a positive series of numbers that can be compared to another series of numbers.
It states that if a_n and b_n are two positive terms in a series, and if lim (n→∞) a_n / b_n = c, where c is a positive constant, then the two series converge or diverge together. The statement a converges by the limit comparison test if bn converges is true, as if a_n/b_n = 3.14159, and if b_n is converging, then a_n also converges. Hence, the limit comparison test tells us that if b_n converges, then an also converges. Therefore, we can say that the given statement is true. So, the correct option is a_n converges by the limit comparison test if b_n converges.
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if my avg is a 96 and my final exam is a 75 which is 25% of my whole grade what will my final grade be
Step-by-step explanation:
That means the 96 is 75% of your grade
96 (.75) + 75 (.25) = 90.75 final grade
Suppose that an individual has a body fat percentage of 15.7% and weighs 162 pounds. How many pounds of her weight is made up of fat? Round your answer to the nearest tenth.
The base of a glass paperweight is a regular hexagon with a side length of
6 centimeters. the area of the base is 93.6 square centimeters. the slant height is 12 centimeters. what is the surface area of the paperweight?
Answer:
The surface area of a solid object like a paperweight is calculated by adding the areas of all its faces. In this case, the paperweight is like a hexagonal pyramid, with a hexagonal base and six triangular sides. The base area has already been given as 93.6 square centimeters.
The six triangles are isosceles triangles, since the base of each triangle is a side of the hexagon, and the slant height is the same for each triangle.
The area of an isosceles triangle is given by the formula:
Area = 1/2 * base * height
For these triangles, the base is 6 cm (side length of the hexagon), and the height is the slant height, which is 12 cm.
So the area of one triangle is:
Area = 1/2 * 6 cm * 12 cm = 36 square cm
Since there are six such triangles, the total area of the triangular faces is:
6 * 36 square cm = 216 square cm
So, the total surface area of the paperweight is the area of the base plus the area of the six triangular faces, or:
93.6 square cm (base) + 216 square cm (sides) = 309.6 square cm
So the surface area of the paperweight is 309.6 square cm.
Counting by 4s, fill in the blanks.
84, 88, 92,
Answer:
how many blanks are their
Step-by-step explanation:
Answer: Even though an image was not provided, I would continue with 96, 100, 104, 108, 112, 116, and so on.
Step-by-step explanation:
92 + 4 = 96 + 4 = 100 + 4, and so on.
There's not really anything else to this.
A scientist studying growth of corn plants finds that the average height of her plants increases from 14 1/2 in. to 20 3/10 in. during a one-week period. To the nearest whole percent, what is the percent increase in the average height of the corn plants during this period?
Suppose a family has saved enough for a 10 day vacation (the only one they will be able to take for 10 years) and has a utility function U = V1/2 (where V is the number of healthy vacation days they experience). Suppose they are not a particularly healthy family and the probability that someone will have a vacation-ruining illness (V = 0) is 20%. What is the expected value of V?
Select one:
a. 10
b. 8
c. 2
d. 0
Answer: The expected value of V can be calculated as the sum of the products of the possible values of V and their corresponding probabilities. Let's consider the three possible scenarios:
V = 0 (with probability 0.2, as given in the problem)
V > 0 but V < 10 (with probability 0.8 * (9/10), because if nobody gets sick, they will have at least 1 healthy vacation day, and if they have 1 healthy day, they can still have 9 more days of vacation)
V = 10 (with probability 0.8 * (1/10), because if nobody gets sick, they can have all 10 days of vacation)
Using the utility function, we can see that the expected value of V is:
E[V] = 0 * 0.2 + (1/2) * (0.8 * 9/10) + 10 * (0.8 * 1/10)
E[V] = 0 + 0.36 + 0.8
E[V] = 1.16
Therefore, the expected value of V is 1.16. However, since V represents the number of healthy vacation days, it must be a non-negative integer. So, the closest integer to 1.16 is 1. Therefore, the answer is c. 2.
a sample of n = 9 scores has a variance of s2 = 18. if the scores were a population, what value would be obtained for the population variance?
Value 02 = 16 represents the population variance.
What is meant by value?The value describes the value of each digit in relation to its position in the number. The place value and face value of the digit are multiplied to arrive at the answer. Value equals Place Value minus Face Value. Value is concerned with how much something is worth, whether in monetary terms or in terms of significance. It can mean "identify how much something is worth" like a reward valued at $200 or it can indicate "hold something in high esteem" like "I value our friendship."The occurrence of two complete sets of tens gives the number 24 its place value of two.To learn more about value, refer to:
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In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays a sport?
Plays a sport
Does not play a sport
Plays an instrument Does not play an instrument
3
8
10
9
Answer:
3 OR 8 hope this helps!
Step-by-step explanation:
can somebody plz go answer mine the one that is not answerd
Answer:
what is it about
Step-by-step explanation:
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes, and one vertex in the plane.
The volume of the largest rectangular box in the first octant with three faces in the coordinate planes, and one vertex in the plane is V = xyz, where x, y, and z are the lengths of the sides of the rectangular box.
To find the largest volume, we need to maximize x, y, and z. Since we have three faces in the coordinate planes, one vertex will be at the origin (0, 0, 0). The other two vertices will lie on the coordinate axes.
Let's assume the vertex on the x-axis is (x, 0, 0), and the vertex on the y-axis is (0, y, 0). The third vertex on the z-axis will be (0, 0, z). Since the box is in the first octant, all the coordinates must be positive.
To maximize the volume, we need to find the maximum values for x, y, and z within the constraints. The maximum values occur when the box touches the coordinate planes. Therefore, the maximum values are x = y = z.
Substituting these values into the volume formula, we get V = xyz = x³. Therefore, the volume of the largest rectangular box is V = x³.
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What is the maximum volume of a rectangular box situated in the first octant, with three of its faces lying on the coordinate planes, and one of its vertices located in the plane?
3α – 3 (α + 2)
=10 please help
Step-by-step explanation:
3a-3(a+2)=10
3a-3a-6=10
+3 +3
6a-6=10
+6 +6
6a=16
Which transformations can be used to create frieze patterns?
Every frieze pattern can be mapped onto itself by a translation. Some also can be mapped onto themselves by other transformations, such as reflections. Decide whether each frieze pattern can be mapped onto itself by a reflection in a horizontal line, a vertical line, or both.
Find all values of x (if any) where the tangent line to the graph of the function is horizontal:y= x^2+2x-3A)1/2B0C1D-1
The correct answer is D) -1.
To find the values of x where the tangent line to the graph of the function \(y = x^2 + 2x - 3\)is horizontal, we need to find the points where the derivative of the function is equal to zero.
First, let's find the derivative of the function:
\(y = x^2 + 2x - 3\)i
y' = 2x + 2
Setting y' equal to zero and solving for x:
2x + 2 = 0
2x = -2
x = -1
Therefore, the only value of x where the tangent line to the graph of the function is horizontal is x = -1.
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