A population has μ = 6 and σ = 2. Each score is multiplied by 10. What is the mean and standard deviation of the new distribution?
Answers
The mean (μ') of the new distribution is 60, and the standard deviation (σ') of the new distribution is 20.
To find the mean and standard deviation of the new distribution after multiplying each score by 10, we can use the properties of linear transformations.
The mean (μ) of the new distribution can be found by multiplying the original mean (μ) by the constant multiplier, in this case, 10:
New Mean (μ') = 10 \(\times\) μ = 10 \(\times\) 6 = 60
The standard deviation (σ) of the new distribution can be found by multiplying the original standard deviation (σ) by the absolute value of the constant multiplier, in this case, 10:
New Standard Deviation (σ') = 10 \(\times\) σ = 10 \(\times\) 2 = 20
Therefore, the mean (μ') of the new distribution is 60, and the standard deviation (σ') of the new distribution is 20.
To summarize, when each score in a population with a mean of 6 and a standard deviation of 2 is multiplied by 10, the resulting distribution has a mean of 60 and a standard deviation of 20.
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Related Questions
A land surveyor wants to measure the distance across a portion of a lake. The surveyor forms the right triangle shown by forming two legs of a right triangle measured on land.
Answers
The surveyor first measures the length of the base of the triangle, which is the side of the lake that is closest to the shore.
What is triangle?Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.
This is done by stretching a measuring tape between two points on land. The surveyor then measures the height of the triangle by stretching a measuring tape up from the base to the point on land opposite of the base.
By using the Pythagorean Theorem, the surveyor is able to determine the length of the hypotenuse of the triangle, which is the distance across the lake. This hypotenuse is the measurement the surveyor wanted to make. The Pythagorean Theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Using this method, the surveyor is able to accurately measure the distance across the lake without ever having to set foot in the water. This method is used for many types of land surveys, and is a great way to measure distances that are difficult to measure directly.
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f(x)=x² +16x-24 and
g(x)=x²-5x-17, find (ƒ + g)(x).
Answers
If functions f(x)=x² +16x-24 and g(x)=x²-5x-17 then (f+g)(x) is 2x² +11x-41.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given functions are f(x)=x² +16x-24 and g(x)=x²-5x-17.
We need to find (ƒ + g)(x).
From properties we have (ƒ + g)(x)=f(x)+g(x)
(ƒ + g)(x)=x² +16x-24+x²-5x-17.
Add the like terms
(f+g)(x)=2x² +11x-41
Hence, if functions f(x)=x² +16x-24 and g(x)=x²-5x-17 then (f+g)(x) is 2x² +11x-41.
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Please help this is due today and. I need to get it done fast!!!
I will mark Brainliest if there are multiple answers!!!
These shapes (in the photo attached) are similar. Find the value of x.
Answers
Answer:
x = 16.5
Step-by-step explanation:
The best way to solve this is to use cross multiplication.
\(\frac{3}{x} = \frac{4}{22}\)
4 * x = 4x
22 * 3 = 66
Your equation is 66 = 4x.
Divide both sides by 4.
66/4 = 16.5
4x/4 = x.
16.5 = x.
Therefore, your answer is 16.5.
I hope this is helpful!
Are these terms alike or unlike: 2xy and 2xyz
Answers
Answer:
Unlike
Step-by-step explanation:
When it comes to like terms, the numbers must have the same ending variable, 2xy and 2xyz do not have the same ending variable, which seeing it, one ends with 2xy and the other with 2xyz. Therefore these terms are not the same and the answer is unlike.
Answer:
unlike
Step-by-step explanation:
this is bc 2xy does have a z while 2xyz does
Solve this pls I beg
Answers
Answer:
-4 < n ≤ 5
Step-by-step explanation:
_________________
Simplify . (x ^ 5)/(x ^ 2).
Answers
Answer:
\(x {}^{3} \)
Step-by-step explanation:
\(\frac{(x {}^{5} )}{( {x}^{2} )}\)
\(x {}^{3} \)
Worked example3 is = 21
Answers
Answer:
hahahaha
Step-by-step explanation:
lol
lol
lol
lol
lol
okay
Week 6 Practice Problem A Draw the supply and demand for labor in a market in equilibrium. Label the equilibrium wage and quantity of labor. On the same graph illustrate how this market would change if a labor union began representing workers in this industry.
Answers
To draw the supply and demand for labor in a market in equilibrium, and illustrate the impact of a labor union, we can use a standard supply and demand graph with quantity of labor (Q) on the x-axis and wage (W) on the y-axis.
Market in Equilibrium:
In a competitive labor market, the supply of labor represents the quantity of workers willing and able to work at various wage levels. The demand for labor represents the quantity of workers that firms are willing to hire at various wage levels. In equilibrium, the supply and demand curves intersect.
Let's assume that at the equilibrium, the wage is labeled as We and the quantity of labor is labeled as Qe.
Graphically, the supply curve (S) slopes upward from left to right, indicating that higher wages incentivize more workers to enter the labor market. The demand curve (D) slopes downward from left to right, indicating that higher wages result in fewer workers being demanded by firms.
Place the equilibrium point (We, Qe) where the supply and demand curves intersect on the graph.
Impact of a Labor Union:
When a labor union represents workers in the industry, it can negotiate for better wages and working conditions on behalf of its members. This can shift the supply and/or demand curve.
a. Shift in the Supply Curve:
If the labor union successfully negotiates higher wages for its members, it can result in an upward shift of the supply curve. This shift represents an increase in the quantity of labor supplied at each wage level.
Draw a new supply curve (S') above the original supply curve. The new supply curve should intersect the demand curve (D) at a higher wage level (Wu) and a greater quantity of labor (Qu).
b. Shift in the Demand Curve:
If the labor union's demands result in higher production costs for firms, it can lead to a decrease in labor demand. This can cause a leftward shift of the demand curve.
Draw a new demand curve (D') to the left of the original demand curve. The new demand curve should intersect the supply curve (S) at a lower wage level (Wd) and a lower quantity of labor (Qd).
Label the new equilibrium point with a labor union as (Wu, Qu).
Note: The specific shift and its impact (supply or demand) depend on various factors and the specific circumstances of the labor union's actions. The above explanation provides a general example.
By graphically illustrating the changes in the labor market due to the presence of a labor union, you can visually see the impact on the equilibrium wage and quantity of labor.
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I NEED HELP ASAP, ILL MARK BRAINLIEST!!!
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y < 2x − 7
y is greater than or equal to negative 1 over 2 times x plus 3
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (3, −7) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
Answers
Answer:
A: The line is a dotted line and the shaded part is on the right side of the line
B: Yes it is correct because if u put in the x value and the y value and calculate it the statement is true.
how many cups are in one liter?
Which conversions show a path to the solution? Check all that apply.
A. cups -> liters -> quarts
B. liters -> quarts -> cups
C. cups -> gallons -> liters
D. liters -> gallons -> cups
Answers
Answer:
b,d
Step-by-step explanation:
Let E be an elliptic curve over Fp and let P and Q be points in E(Fp). Assume that Q is a multiple of P and let n > 0 be the smallest solution to Q = [n]P. Which of the following statements is true? a) n is the order of P. b) n is the order of Q. c) n is the order of the group E(Fp). d) None of the above.
Answers
The correct statement is d) None of the above. In fact, the order of the group E(Fp) can be any prime or power of a prime, so it is unlikely that n would be equal to it.
The order of P and Q are not necessarily equal in an elliptic curve, and neither of them necessarily equals the order of the group E(Fp).
If P has order r and Q is a multiple of P, then Q has order s = n*r. In general, the order of a point on an elliptic curve can be any divisor of the order of the group E(Fp), so it is not necessarily equal to the group order.
a) n is the order of P: This is not necessarily true. The order of P can be any divisor of the order of the group E(Fp). The only thing we know for sure is that n is a multiple of the order of P, since Q is a multiple of P.
b) n is the order of Q: This is also not necessarily true. Q has order s = n*r, where r is the order of P. Again, the order of Q can be any divisor of the order of the group E(Fp).
c) n is the order of the group E(Fp): This is not true either. In fact, the order of the group E(Fp) can be any prime or power of a prime, so it is unlikely that n would be equal to it.
Therefore, the correct answer is d) None of the above.
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pls help me 3 i beg of you (IM2)
Answers
The polynomial representing the area of the is 49n² - 25
How to determine the polynomialThe formula for area of a square is expressed as;
Area = a²
Where a is the side length
From the image shown, we can see that the side length takes the value (7n - 5)
Substitute the value into the formula
Area = a²
Area = (7n - 5)²
Area = (7n - 5) ( 7n + 5); this is so because of the difference of two squares
Expand the bracket
Area = 49n² + 35n - 35n - 25
collect like terms
Area = 49n² - 25
Thus, the polynomial representing the area of the cube is 49n² - 25
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Describe the difference between classical and empirical probability
Choose the correct answer below.
O A. The empirical method obtains an exact empirical probability of an event by conducting a probability experiment. The classical method of computing probabilities does not require that a probability experiment actually be
O B. The classical method obtains an exact probability of an event by conducting a probability experiment. The empirical method of computing empirical probabilities does not require that a probability experiment actually be performed. Rather, it relies on counting techniques, and requires equally likely outcomes. performed. Rather, it relies on counting techniques, and requires equally likely outcomes.
O С. The empirical method obtains an approximate empirical probability o an event by conducting a probability experiment. The classical method o computing pr abilities does notrequire that a probabili y experiment actually be performed. Rather, it relies on counting techniques, and requires equally likely outcomes. The classical method obtains an approximate em be performed. Rather, it relies on counting techniques, and requires equally likely outcomes
O D. incal probability o an even by conducting a probability experimen The e irical method ofcomp ina roba ie d es otro e at a probabil pe men actualy
Answers
The difference between classical and empirical probability is C. The empirical method obtains an approximate empirical probability of an event by conducting a probability experiment. The classical method of computing probabilities does not require that a probability experiment actually be performed. Rather, it relies on counting techniques, and requires equally likely outcomes. The classical method obtains an approximate em be performed. Rather, it relies on counting techniques, and requires equally likely outcomes.
Classical probability is based on the idea of equally likely outcomes. In classical probability, the probability of an event is determined by counting the number of favorable outcomes and dividing by the total number of possible outcomes.
Empirical probability, on the other hand, is determined by observing the frequency of an event over a period of time or a number of trials. It's based on the relative frequencies of the outcomes of an experiment.
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T/F. Exception reports show a greater level of detail than is included in routine reports.
Answers
True. Exception reports show a greater level of detail than is included in routine reports.
Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.
This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.
This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.
It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.
For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.
The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.
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The modeling process begins with the framing of a _________________ that shows the relationships between the various parts of the problem being modeled mathematical model circular model conceptual model correlation model
Answers
Answer:
Step-by-step explanation:
you hav to times it
The modeling process begins with the framing of a conceptual model that shows the relationships between the various parts of the problem being modeled. This model helps to identify the mathematical correlations between variables and provides a foundation for developing a more detailed and accurate mathematical model.
The modeling process begins with the framing of a mathematical model that shows the relationships between the various parts of the problem being modeled. This model is often based on data analysis and utilizes statistical techniques to establish correlations between the different variables in the problem. Ultimately, the goal of the modeling process is to create a predictive tool that can be used to make informed decisions about the problem at hand.
Process models involve graphically representing processes or functions that capture, manage, store, and distribute information between the system and its environment and physical objects. One type of process model is the flowchart (DFD). A data flow is a diagram that shows the movement of data between external sources and processes and the data stored in the system. While several different tools have been developed for modeling, we focus only on data streams as they are effective tools for modeling. While not all organizations use all analytical methods, including these methods such as data flow, they have a significant impact on the development process.
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A triangle has sides with lengths of 12 kilometers, 12 kilometers, and 17 kilometers. Is it a right triangle?
Answers
Answer:
no it has to be the same length
Step-by-step explanation:
it has to be the same
What do these (>, ≥, <, ≤) mean
Answers
Answer: <less than >greater than ≥ greater than or equal to ≤ less than or equal to
Step-by-step explanation:
when the period of a sine function doubles the frequency
Answers
when the period of a sine function doubles, the frequency is halved (reduced by a factor of 1/2).
When the period of a sine function doubles, it means that the length of one complete cycle of the sine function has doubled.
The frequency of a sine function is defined as the number of cycles per unit of time.
If the period doubles, it means that the time it takes for one cycle of the sine function has increased.
Therefore, the frequency of the sine function decreases because fewer cycles occur within a given unit of time.
Mathematically, the relationship between period (T) and frequency (f) is given by:
f = 1 / T
If the period doubles (T' = 2T), the corresponding frequency (f') can be found by substituting T' into the equation:
f' = 1 / T'
= 1 / (2T)
= 1/2 * (1 / T)
= 1/2 * f
So, when the period of a sine function doubles, the frequency is halved (reduced by a factor of 1/2).
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Input value for the function machine that gives an output value of 3.
Answers
Answer:
x = –1
Step-by-step explanation:
From the question given above, the following data were obtained:
y = √(–2x + 7)
y = 3
x =?
The value of x can be obtained as follow:
y = √(–2x + 7)
3 = √(–2x + 7)
Take the square of both side
3² = –2x + 7
9 = –2x + 7
Collect like terms
9 – 7 = –2x
2 = –2x
Divide both side by –2
x = 2 / –2
x = –1
help please
question is which function has a greater y-intercept?
answers:
function 1
function 2
The same function gave the same y-intercept
Answers
Answer:
The same function gave the same y-intercept
Step-by-step explanation:
Y-intercept can be calculated when x is 0. This is easy to figure out the table because it already gave us the value of y when x was 0, which was 3.
For the first function, we know that it has a y-intercept of 3.
For the second function, getting the y-intercept is very easy because you can look at the value of y at x=0. We can physically see that it is 3, meaning that they both have the same y-intercept.
Two parts Someone please help!!!!!
Part one: Write a function rule for the area of a rectangle with a length of 2 ft less than three times its width.
Part two: what is the area of the rectangle when its width is 2 ft?
Answers
Answer:
Part one: The function rule for the area of the rectangle is A(x) = 3x² - 2x
Part two: The area of the rectangle is 8 feet² when its width is 2 feet
Step-by-step explanation:
Assume that the width of the rectangle is x
∵ The width of the rectangle = x feet
∵ The length of the rectangle is 2 ft less than three times its width
→ That means multiply the width by 3, then subtract 2 from the product
∴ The length of the rectangle = 3(x) - 2
∴ The length of the rectangle = (3x - 2) feet
∵ The area of the rectangle = length × width
∴ A(x) = (3x - 2) × x
→ Multiply each term in the bracket by x
∵ A(x) = x(3x) - x(2)
∴ A(x) = 3x² - 2x
∴ The function rule for the area of the rectangle is A(x) = 3x² - 2x
∵ The rectangle has a width of 2 ft
∵ The width = x
∴ x = 2
→ Substitute x by 2 in A(x)
∵ A(2) = 3(2)² - 2(2)
∴ A(2) = 3(4) - 4
∴ A(2) = 12 - 4
∴ A(2) = 8
∴ The area of the rectangle is 8 feet² when its width is 2 feet
Can someone explain this question to me?
Completely factor the following expression: $9x^2+3x$.
Answers
Answer:
\(\large{\boxed{\sf 3x(3x + 1)}\)
Explanation:
\(\sf \rightarrow 9x^2 + 3x\)
Rewrite the expression
\(\sf \rightarrow 3x\cdot \:3x+3x\)
In this expression, the term 3x is a common factor. So take it out
\(\sf \rightarrow 3x(3x + 1)\)
The expression is factored completely
7(4−x)What is an equivalent way to write the expression without grouping symbols?
Answers
Answer:
28-7x
Step-by-step explanation:
Distribute the 7 outside the parentheses to give:
7(4) = 28
7(-x) = -7x
Hope this helped!
Answer:
28-7x
Step-by-step explanation:
7(4-x)
expand:
=7*4 + 7*-x
= 28-7x
Under his cell phone plan, Eli pays a flat cost of $63 per month and $4 per gigabyte. He wants to keep his bill under $75 per month. Use the drop-down menu below to write an inequality representing g, the number of gigabytes he can use while staying within his budget.
Answers
Answer:
G=3 gigibytes
Step-by-step explanation:
$75-$63=$12
12 divided by 4 is 3, so g is 3
Juan and Rick are cell phone sales representatives. Juan 200 each week plus \$10 for each cell phone sold. Rick earns $350 each week plus $5 for each cell phone sold. How many cell phones would Juan and Rick need to sell next week to earn the same amount ?
Answers
Answer:
30 cell phones.
Step-by-step explanation:
Let the required number of phones be x.
10x + 200 = 5x + 350
5x = 150
x = 30.
PLEASE HELP!! What do most marketing entrepreneurs do to prepare to launch their
businesses? (this is actually business not math but)
Answers
Marketing entrepreneurs choose a marketing niche first to prepare to launch their business. Thus, option B is correct.
What is marketing niche?The portion of a market that a particular product is targeted toward is called a niche market. The product's market niche determines its price range, level of production, target demographics, and feature set that is intended to address a particular market need. Additionally, it is a small market sector. A product or service may occasionally be created specifically to meet the needs of a niche market.
Not all products can be classified by their market niche. The highly specialised niche market competes against numerous super companies and strives to remain viable. Even well-known companies develop products for specific markets; Hewlett-Packard produces separate machines in addition to all-in-one printing, scanning, and faxing units that are aimed at the home office market.
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Answer: Choose a marketing Niche
Step-by-step explanation: Just took the quiz
scores on the sat verbal test in recent years follow approximately the n(515, 109) distribution. how high must a student score in order to place in the top 5% of all students taking the sat?
Answers
We need to determine the score a student must achieve to place in the top 5% of all students taking the SAT Verbal test with an N(\(515, 109\)) distribution, which came out to be \(695\) marks.
Identify the mean (μ) and standard deviation (σ) of the distribution: In this case, µ \(= 515\) and σ\(= 109\).
Determine the percentile rank: To place in the top \(5%\)% of students, we need to find the score corresponding to the \(95th\) percentile, as this represents the point where \(95\)% of students have a lower score.
Use a standard normal (Z) table or calculator to find the Z-score corresponding to the \(95th\) percentile: A Z-score represents the number of standard deviations a data point is from the mean.
For the \(95th\) percentile, the Z-score is approximate \(1.645\).
Apply the Z-score formula to find the required SAT score: \(X =\) µ \(+ Z*\) σ. In this case, \(X = 515 + (1.645 *109)\).Calculate the result: \(X = 515 + (1.645 *109)\)
\(=515 + 179.305 = 694.305\).
Round up to the nearest whole number: Since a student's SAT score must be a whole number, round up to \(695\). A student must score \(695\) or higher on the SAT Verbal test to place in the top \(5\)% of all students taking the test, given the N(\(515, 109\)) distribution.
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Section 1 - Question 1
Stanley attempted to simplify the expression below.
4. (2.5x - 1.25) – 3x
His work, step by step, Is shown below.
Step 1: -4. {(2.5x + (-1.25)} – 32
Step 2: - 10x + (-5) - 3:0
Step 3:- 10.2 - 3x + (-5)
Step 4: - 13x - 5
In which step did he make his first error simplifying the expression?
A
Step 1
B
Step 2
Answers
Answer:
a and bwhich step did he make his first error simplifying the expression?
A
Step
solve for x and there is no need for an explanation!
Answers
Answer:
x=1.3 or x= 4/3
Step-by-step explanation:
Solve each system by substitution. Show work please.
x-2y=9, 3x-4y=27
8x=y+2, 5x=y-1
-4x-y=2, -6x= y -3
Answers
Answer:
see below. i put a square around each x,y solution.
Step-by-step explanation:
