suppose that x is a normal random variable with a mean of 5. if p{x > 9} = .2, So, the approximate variance of the normal random variable X is 22.66.
To find the variance of a normal random variable X with mean 5 and given P(X > 9) = 0.2, we will follow these steps:
1. Recognize that X follows a normal distribution: X ~ N(μ, σ²), where μ = 5 and σ² is the variance we want to find.
2. Convert the probability statement P(X > 9) = 0.2 to a standard normal distribution (Z) by finding the corresponding Z-score:
Z = (X - μ) / σ
3. Look up the Z-score that corresponds to the given probability (0.2) in a standard normal (Z) table. Since the table typically gives P(Z < z), we'll find P(Z < z) = 1 - 0.2 = 0.8. The corresponding Z-score is approximately 0.84.
4. Plug in the known values and solve for σ:
0.84 = (9 - 5) / σ
σ ≈ 4 / 0.84
σ ≈ 4.76
5. Finally, find the variance, which is σ²:
σ² ≈ 4.76²
σ² ≈ 22.66
So, the approximate variance of the normal random variable X is 22.66.
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The approximate variance of the normal random variable X is the square of the standard deviation:
Var(X) ≈ [tex](4.76)^2[/tex] ≈ 22.65 (rounded to two decimal places).
To approximate the variance of the normal random variable X with a mean of 5, given that P(X > 9) = 0.2, we can use the z-score and standard normal distribution.
First, we calculate the z-score using the standard normal distribution formula:
z = (X - μ) / σ
where X is the value of interest (in this case, 9), μ is the mean (5), and σ is the standard deviation.
Plugging in the values, we get:
z = (9 - 5) / σ = 4 / σ
Next, we use the standard normal distribution table or a calculator to find the z-score that corresponds to a cumulative probability of 0.2. Let's assume that z = -0.84.
Now, we can use the z-score formula to solve for the standard deviation σ:
-0.84 = 4 / σ
Cross-multiplying, we get:
-0.84σ = 4
Dividing both sides by -0.84, we get:
σ ≈ 4 / -0.84 ≈ -4.76
Since the standard deviation cannot be negative, we discard the negative value and take the absolute value, resulting in:
σ ≈ 4.76
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Joshua started his own lawn care business. He donates 10% of his income to a local charity, which is recognized by the IRS as a qualified charitable organization. Joshua can claim expenses from his business and charitable donations as , and they will reduce the.
first blank having: Tax credits
or
tax reductions
second having: amount of taxable income
or
amount of tax owned
Joshua started his own lawn care business. He donates 10% of his income to a local charity, which is recognized by the IRS as a qualified charitable organization. Joshua can claim expenses from his business and charitable donations as tax reductions, and they will reduce the amount of taxable income.
The first blank should be filled with "tax reductions" and the second blank should be filled with "amount of taxable income."
The first blank should be filled with "tax reductions". Tax reductions reduce the amount of income that is subject to tax, whereas tax credits directly reduce the amount of tax owed.The second blank should be filled with "amount of taxable income." Business expenses and charitable donations are deductible from taxable income, meaning they reduce the amount of income that is subject to tax. By reducing the taxable income, the amount of tax owed will also be reduced.Hence, the correct statement would be: "Joshua can claim expenses from his business and charitable donations as tax reductions, and they will reduce the amount of taxable income."
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Select the correct answer. Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(-13) = 20 B. g(7) = -1 C. g(0) = 2 D. g(-4) = -11
Therefore, the correct answer is A. We cannot determine whether g(-13) = 20 or not as -13 is outside the domain of g, but it is a possibility within the Domain range of g.
How are the domain and range determined?Determine the values of the independent variable x for which the function is specified in order to find the domain and range of the equation y = f(x). Simply write the equation as x = g(y), and then determine the domain of g(y) to determine the function's range.
Since g has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45, we can eliminate options B and D as they fall outside the range of g.
Since -13 is outside of the range of g, we are unable to verify whether g(-13) = 20 for option A.
For option C, we are given that g(0) = -2, so option C cannot be true.
Therefore, the correct answer is A. We cannot determine whether g(-13) = 20 or not as -13 is outside the domain of g, but it is a possibility within the range of g.
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can someone give me the answers to these 5?? pleaseee!!
The MAD of the hourly wages given would be $ 0.48. The range would be $ 2.00. Q1 would be $8.25. Q3 would then be $9.25. The IQR would be $1.00
How to find the number summaries ?Calculate the MAD:
First, find the mean of the data set:
mean = (sum of all values) / (number of values)
mean = (8.25 + 8.50 + 9.25 + 8.00 + 10.00 + 8.75 + 8.25 + 9.50 + 8.50 + 9.00) / 10
mean = 88.00 / 10 = 8.80
Then, find the mean of these absolute deviations:
MAD = (sum of absolute deviations) / (number of values)
MAD = (0.55 + 0.30 + 0.45 + 0.80 + 1.20 + 0.05 + 0.55 + 0.70 + 0.30 + 0.20) / 10
MAD = 4.10 / 10 = 0.41
Calculate the range:
range = maximum value - minimum value
range = 10.00 - 8.00 = 2.00
Find Q1 and Q3:
{8.00, 8.25, 8.25, 8.50, 8.50, 8.75, 9.00, 9.25, 9.50, 10.00}
Q1 is the median of the lower half, and Q3 is the median of the upper half.
Lower half: {8.00, 8.25, 8.25, 8.50, 8.50}
Upper half: {8.75, 9.00, 9.25, 9.50, 10.00}
Q1 = median of lower half = 8.25
Q3 = median of upper half = 9.25
Calculate the IQR:
IQR = Q3 - Q1
IQR = 9.25 - 8.25 = 1.00
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you are thinking of combining designer whey and muscle milk to obtain a 7-day supply that provides exactly 262 grams of protein and 54 grams of carbohydrates. how many servings of each supplement should you combine in order to meet your requirements?
We need approximately 12 servings of Designer Whey and 2 servings of Muscle Milk to obtain a 7-day supply that provides exactly 262 grams of protein and 54 grams of carbohydrates.
Let x be the number of servings of Designer Whey and y be the number of servings of Muscle Milk needed to obtain a 7-day supply that provides exactly 262 grams of protein and 54 grams of carbohydrates.
From the information given, we know that each serving of Designer Whey provides 20 grams of protein and 3 grams of carbohydrates, and each serving of Muscle Milk provides 16 grams of protein and 9 grams of carbohydrates.
Therefore, we can set up the following system of equations:
20x + 16y = 262
3x + 9y = 54
To solve for x and y, we can use any method of solving a system of equations. For example, we can use substitution:
From the second equation, we can solve for x in terms of y:
x = (54 - 9y)/3 = 18 - 3y
Substituting this into the first equation, we get:
20(18 - 3y) + 16y = 262
Simplifying, we get:
80y = 182
Solving for y, we get:
y = 2.275
Substituting this into the equation x = 18 - 3y, we get:
x = 12.175
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pls hurry
2. INTEREST Marty invested $2000 in an account that pays at least 4% annual interest. He wants to see how much money he will have over the next few years. Graph the inequality y ≥ 2000 (1 + 0.04) ^× to show his potential earnings.
For the given inequality substitute the coordinates of x and y to form the graph of y ≥ 2000 (1 + 0.04)ˣ.
What is compound interest?Interest that is calculated on both the initial principle and any accrued interest is known as compound interest. This implies that the interest for the subsequent period is computed using the new total amount after the interest for the prior month has been added to the principal. If the interest rate and the duration are both high, the interest might add up to a sizable amount over time. Savings accounts, investments, loans, and other financial instruments frequently use compound interest.
For the given inequality we have:
For x = 0, y = 2000.
For x = 1, y = 2000(1 + 0.04) = 2080.
Plot the points on the graph to determine the graph.
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1. The largest of 2 integers is one more than three times the smaller. If the sum of the two integers is 37, find the larger integer.
2. For two consecutive integers, the sum of the smaller and twice the larger is 29. Find the smaller integer.
1. we can use the first equation to find y = 3x + 1 = 3(9) + 1 = 28 So, the larger integer is 28, (2). The smaller integer is 9. The larger integer is 10, which is the next consecutive integer.
What is an integer ?An integer is a whole number ,neither a fraction or a decimal, in mathematics. Integers can be zero, positive, or negative.
Integer examples include -3, -2, -1, 0, 1, 2, 3, and so forth.
The letter "Z" stands for the set of integers.
In mathematics and allied disciplines such as computer science, physics, and finance, integers are utilized extensively.
What is a whole number ?A whole number is a non-negative integer in mathematics, which indicates that it is either a positive integer or zero.
Negative and fractional numbers are not included in whole numbers. The full integers 0, 1, 2, 3, 4, and so on are examples.
In many different branches of mathematics as well as in other disciplines, such as arithmetic, algebra, and geometry, whole numbers are used. They are also employed in daily tasks like quantity calculations and object counts.
According to question :-
Let's call the smaller integer x and the larger integer y. We know that:
y = 3x + 1 (the largest of the two integers is one more than three times the smaller)
x + y = 37 (the sum of the two integers is 37)
We can use substitution to solve for y in terms of x:
x + (3x + 1) = 37
4x + 1 = 37
4x = 36
x = 9
Now we can use the first equation to find y:
y = 3x + 1 = 3(9) + 1 = 28
So the larger integer is 28.
Let's call the smaller integer x and the larger integer y. We know that:
y = x + 1 (the integers are consecutive)
x + 2y = 29 (the sum of the smaller and twice the larger is 29)
We can substitute y = x + 1 in the second equation:
x + 2(x + 1) = 29
Simplifying and solving for x:
3x + 2 = 29
3x = 27
x = 9
So the smaller integer is 9. The larger integer is 10, which is the next consecutive integer.
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About 16% of people who get their feet examined are found to have athlete's foot. What is the probability of a podiatrist examining five people until he finds the first patient who has athlete's foot? (0. 16)^5 (0. 84)^4(0. 16)^1 (0. 16)^4(0. 84)^1 (0. 84)5 1 − (0. 16)^4
The probability of examining the five people till first patient has athlete's foot is given by (0. 84)^4(0. 16)^1.
Percent of people have athlete foot = 16%
Let us consider the probability of success represented by p = 0.16.
Using geometric distribution,
Probability of finding first patient with athlete's foot on kth examination is given by geometric probability distribution,
P(X = k) = (1 - p)^(k - 1) × p
where X is random variable representing number of trials needed until first success.
Probability of finding the first patient with athlete's foot on the fifth examination k = 5,
⇒ P(X = 5) = (1 - p)^(5 - 1) × p
⇒ P(X = 5) = (0.84)^4 × 0.16
Simplify it we get,
⇒ P(X = 5) = 0.0473
Therefore, the probability of a podiatrist examining five people until he finds the first patient who has athlete's foot is (0. 84)^4(0. 16)^1.
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-16x^2+160x+120 in vertex form
The vertex form of the quadratic expression -16x² +160x+120 is -16(x - 5)² + 520.
What is vertex form?
Vertex form is a way to write a quadratic function in the form:
f(x) = a(x - h)²+ k
where "a" is the vertical stretch or compression factor, "h" and "k" are the x-coordinate and y-coordinate of the vertex of the parabola respectively. The vertex form allows you to easily identify the vertex and the direction of the parabola's opening.
To write -16x²+160x+120 in vertex form, we need to complete the square.
First, let's factor out the coefficient of x²:
-16(x² - 10x) + 120
Next, we need to add and subtract (10/2)² = 25 to the expression inside the parentheses:
-16(x² - 10x + 25 - 25) + 120
Now we can group the first three terms and factor the perfect square trinomial:
-16((x - 5)² - 25) + 120
Simplifying:
-16(x - 5)² + 520
Therefore, the vertex form of the quadratic expression -16x² +160x+120 is -16(x - 5)² + 520.
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an assumption of the linear model of communication is the belief that _____.
The communication is a one-way process in which a message is conveyed from a sender to a receiver is one of the assumptions made by the linear model of communication.
The straightforward linear model of communication presents communication as a process with distinct beginnings and endings.
But this model ignores the fact that communication is frequently a more complex and involved process that needs context, feedback, and a variety of channels.
The linear model presumes that the message is clearly understood by the recipient and that it is received by the recipient free from distortion or interference.
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An assumption of the linear model of communication is the belief that communication is a one-way process where a sender transmits a message to a receiver through a channel. This model assumes that communication is a linear process where the sender encodes a message, which is then sent through a channel to the receiver who decodes the message.
In the linear model, the sender encodes a message, sends it through a channel, and the receiver decodes the message. This model does not account for feedback or interaction between the sender and receiver, assuming that communication is a straightforward and direct transmission of information without any complexities or interruptions.
This model assumes that there is little to no feedback or interaction between the sender and receiver, and that the message is transmitted and received accurately without any distortion. However, this assumption is often criticized for oversimplifying the complex nature of communication and ignoring the role of context and feedback in the communication process.
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The market price of a dress was 80 000 at the botique
The dress was sold at a profit of 20%.
Profit percent is the percentage of profit earned on a product or investment, calculated as the profit divided by the cost price multiplied by 100%.
The profit or loss percent can be calculated using the following formula:
Profit/Loss percent = (Profit or Loss / Cost Price) x 100%
Here, the Cost Price (CP) of the dress is Rs. 2500, and the Selling Price (SP) is Rs. 3000.
Profit = SP - CP = Rs. 3000 - Rs. 2500 = Rs. 500
Therefore, the profit percent is
Profit percent = (Profit / CP) x 100%
Substitute the values in the equation
= (500 / 2500) x 100%
= 20%
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I have solved the question in general, as the given question is incomplete.
The complete question is:
A dress was bought for Rs. 2500 and sold for Rs. 3000. Find the profit or loss percent
a freight train left a station at 12 noon g . 4. , o~g north at a rate of 50 miles per hour. at 1:00 p.m. a passenger train left the same station, going south at a rate of 60 miles per hour. at what time were the trains 380 miles apart?
The trains will be 380 miles apart at 3:00 PM, which is 4 hours after the freight train leaves the station at 12 noon.
How to solve the problem for distance and time?We can use the formula d = rt (distance = rate x time) to calculate the distance each train has traveled during this time:
Let's call the time elapsed from 12 noon until the trains meet as t hours.
During this time, the freight train has traveled at a rate of 50 mph for t hours and the passenger train has traveled at a rate of 60 mph for (t-1) hours (since it started one hour after the freight train).
Distance traveled by freight train = 50t
Distance traveled by passenger train = 60(t-1)
The total distance between the two trains at time t is the sum of these distances, which we can write as:
Total distance = 50t + 60(t-1)
We want to find the time t at which the total distance is 380 miles. So we can set up the equation:
50t + 60(t-1) = 380
Simplifying this equation, we get:
110t - 60 = 380
110t = 440
t = 4
Therefore, the time elapsed from 12 noon until the trains meet is 4 hours. Since the passenger train left one hour after the freight train, it has been traveling for 3 hours.
So the time at which the trains are 380 miles apart is 3:00 PM (12 noon + 4 hours).
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How do you solve this equation in Derive Linear Equations - Quiz - Level H: What is the slope of the line?
The slope of the given line is 1/3 for the line passes through (0, 2) and (3, 3).
The slope of a line represents the rate at which it rises or falls as it moves horizontally from left to right.
It is calculated by taking the difference in the y-coordinates (vertical change) and dividing it by the difference in the x-coordinates (horizontal change) of two points on the line.
The slope can also be thought of as the tangent of the angle formed by the line and the positive x-axis.
In this problem, we are given that the slope of the line is 1/3.
We can use this information to find the slope between any two points on the line.
Let's consider the points (0, 2) and (3, 3) that lie on the line.
The change in y-coordinates is 3 - 2 = 1, and the change in x-coordinates is 3 - 0 = 3.
Therefore, the slope between these two points is 1/3.
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The question is -
What is the slope of the line?
Derive Linear Equations-Quiz-Level H
hat kind of cups for measuring are sometimes made from glass or something transparent so the markings on the side with different measurements are visible? a tare measuring cups b maillard measuring cups c standard measuring cups d graduated measuring cups
The graduated measuring cups are made from something glass or something transparent to markings on the side with different measurements are visible. Option (d) is the correct answer.
The kind of cups for measuring that are sometimes made from glass or something transparent so the markings on the side with different measurements are visible are called graduated measuring cups. These cups are designed to make measuring precise amounts of liquid or dry ingredients easy, and the transparent material allows you to see the measurement markings clearly. Graduated measuring cups are commonly used in baking and cooking, as well as in scientific research and other applications where accurate measurements are essential.
Therefore, Graduated measuring cups is the answer.
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One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 2 units wide.
The area of the shaded region with dimensions length=5 units and width=2 units is 10 units².
What is area?
It is the extent to which a flat (2-D) figure, surface, or shape of an object occupies all available space.The area of a flat, two-dimensional figure is the area that is enclosed or covered by the boundary of the figure. Additionally, it is the quantity of unit squares that completely cover a closed figure's surface. Square measurements of area include sq. mm, cm2, and m2. Additionally, it describes the area located inside a closed shape's border or limit.
Area of rectangle = length x width
Given dimensions of outer rectangle:length=9 units & width=6 units
Also given that there is a width of frame is 2 units between outer & inner rectangle on all its boundaries.
To find the area of shaded inner rectangle, we need its dimensions.
Length=length of outer rectangle- 2 times width of frame
=9 - 2(2)
=9-4
=5 units
Widthth=width of outer rectangle- 2 times width of frame
=6 - 2(2)
=6-4
=2 units
Area of shaded portion= area of rectangle
= L x W
= 5 x 2
=10 units²
Area of shaded portion=10 units²
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Help please, I'm so lost
I gotchu <3
Since the vertex is (0, -3), the quadratic function can be written in vertex form as:
f(x) = a(x - 0)^2 - 3
Where 'a' is a constant that determines the shape of the parabola. Since the end behavior of the function is y --> - Infinite as x --> - infinite and y --> - Infinite as x --> + infinite, the leading coefficient 'a' must be negative.
So, f(x) = -a(x^2 - 0x) - 3
Now, using the given point (1, -7) on the parabola, we can substitute the coordinates into the function and solve for 'a'.
-7 = -a(1^2 - 0(1)) - 3
-7 = -a - 3
a = 10
Therefore, the quadratic function that satisfies the given characteristics is:
f(x) = -10x^2 - 3
Hope this helps :)
morbidity surveys of the general population: group of answer choices include the health and nutrition examination survey. all of these are correct. collect data on the health status of a population group. typically use a scientifically designed representative sample.
In morbidity surveys of the general population, they collect data on the health status of a population group which includes the health and nutrition examination survey, that are typically uses a scientifically designed representative sample. So the answer is all of these are correct or option B.
What are Morbidity Surveys?
Morbidity surveys are research investigations designed to determine the frequency and incidence of diseases, illnesses, and injuries in a certain community. They are intended to collect data on people's health status within a certain community or population, as well as to determine the distribution and drivers of health issues in that group.
Morbidity surveys often employ structured questionnaires and physical examinations to gather data on the occurrence of certain health disorders, as well as risk factors and other variables that may be related to the development of these illnesses.
Morbidity survey data may be used to design public health policies and programs, distribute resources, and track changes in health status over time.
The answer is (b) All of these are correct.
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Health surveys provide a structured way to collect and interpret data about the health status of a population, helping researchers and policy makers understand health trends and conditions. One such survey is the Health and Nutrition Examination Survey.
Explanation:Surveys, such as the Health and Nutrition Examination Survey, provide an important method for collecting data on the health status of a population group. In public health and epidemiology, these surveys typically use a scientifically designed representative sample to provide accurate data. To conduct this survey, researchers ask the same questions to all respondents, interpret the answers, and tabulate the results. A simple example could be comparing the eating habits of students eating off campus versus those in dining facilities. With the data gathered, we can identify health trends, understand the distribution of certain health conditions, and then make informed policy or healthcare decisions based on these insights.
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The radius of a semicircle is 8.4 millimeters. What is the semicircle's diameter?
Answer:
Step-by-step explanation:
8.4 x 2 = 16.8
Can someone help me asap? It’s due tomorrow. I will give brainliest if it’s correct
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
Identify the expression that is not equivalent to 6x + 3.
The resultant value of the given expression x² + 10x + 24 when x = 3 is (C) 63.
What are expressions?A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.
Expressions in writing are made using mathematical operators such as addition, subtraction, multiplication, and division.
For instance, "4 added to 2" will have the mathematical formula 2+4.
So, we have the expression:
= x² + 10x + 24
Now, solve when x = 3 as follows:
= x² + 10x + 24
= 3² + 10(3) + 24
= 9 + 30 + 24
= 63
Therefore, the resultant value of the given expression x² + 10x + 24 when x = 3 is (C) 63.
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Correct question:
Evaluate the expression when x = 3.
x² + 10x + 24
a. 81
b. 86
c. 63
d. 60
data collected from several entities over a period of time (minutes, hours, days, etc.) are called...
Data collected from several entities over a period of time (minutes, hours, days, etc.) are called time series data.
What is time series data?Time series data is a type of data that is collected over a period of time, with measurements taken at regular intervals. The data is often used to track changes in a particular variable over time and to analyze patterns or trends in the data.
Examples of time series data include stock prices, temperature readings, and daily sales figures. Time series data can be used to make forecasts or predictions about future trends based on past data, and it is often analyzed using statistical methods such as trend analysis, seasonality analysis, and autocorrelation analysis.
Time series data can be represented graphically using a line chart or a scatterplot, with time on the x-axis and the variable of interest on the y-axis. Time series data can be univariate, meaning that there is only one variable being measured, or multivariate, meaning that there are multiple variables being measured at the same time.
What are statistical methods?Statistical methods are a set of techniques and procedures used to analyze and interpret data in order to draw meaningful conclusions from it. These methods involve the collection, analysis, and interpretation of data in order to identify patterns, trends, and relationships between variables.
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Write the number in numerical form:
Six hundred six and four thousand, three hundred fifteen ten-thousandths
The number "Six hundred six and four thousand, three hundred fifteen ten-thousandths" is equal to 606.4315 in numerical form.
Writing the number in numerical form:Given that
Six hundred six and four thousand, three hundred fifteen ten-thousandths
To write this number in numerical form, we need to add the values of each of its digits:
6 × 100 + 0 × 10 + 6 × 1 + 4 × 0.1 + 3 × 0.01 + 1 × 0.005 = 606.4315
Therefore, the number "Six hundred six and four thousand, three hundred fifteen ten-thousandths" is equal to 606.4315 in numerical form.
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I need help I can't do math
Answer:
Step-by-step explanation:
You will first need to remember when solving equations or inequalities that have a variable you will need to make sure that the variable is on one side alone.
So, b-2>-1 you will add 2 to both sides . Whatever you do to one side of the equal sign or inequality you do to the other side.
b-2>-1
+2 +2
b > 1
Also, because it has a line under the greater than or equal to sign you will graph it on a number line as a closed circle with the closed circle on the 1 and the arrow pointing to the right. The symbol in the inequality is the way the arrow should be pointing . ≤ ≥ closed circle < > open circle.
closed circle and arrow pointing to the right →
The second selection is the right one.
Imma give h Brainliest!!!
Answer:
Yes, because of the Angle-Angle Theorem
Step-by-step explanation:
The sum of the interior angles of a triangle are 180.
Triangle on the left
180 - 90 - 42 = 48
Triangle on the right:
180 - 90 - 48 = 42
Since the angles measurements are the same, the triangles are similar.
Helping in the name of Jesus.
Answer: Yes, because of the Angle-Angle Theorem
Step-by-step explanation:
The two triangles have the same angles, so they are similar by the Angle-Angle Theorem.
40 people were asked whether they can sew and whether they can knit. 14 of them can sew and 12 of them can knit. 5 of the people who can sew can also knit. How many of the people asked can neither sew nor knit?
Answer:
data given
Universal set 40people
people who can sew 14
people who can knit 12
people who can do both 5
Step-by-step explanation:
•people who can sew only
=14-5
=9
•people who can knit only
=12-9
=7
Union of people who can sew and the one who can knit
=9+7+5
=21
who do neither
=40-21
=19
: .people neither sew or knit are 19
Process _____ is based on comparing the current amount of outcome variation against outcome specifications.
SPC is widely used in manufacturing, healthcare, and other industries to improve quality and efficiency.
The process you are referring to is called Statistical Process Control (SPC), which involves monitoring and analyzing a process to ensure it is within the acceptable range of variation. This is done by comparing the current amount of outcome variation against the established outcome specifications, allowing for corrective action to be taken if necessary. SPC is widely used in manufacturing, healthcare, and other industries to improve quality and efficiency.
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Process control is based on comparing the current amount of outcome variation against outcome specifications.
Process control is a management approach that involves monitoring and adjusting a process to ensure that it meets its intended outcome specifications.
The goal of process control is to maintain consistent outcomes over time, despite natural variation in the inputs or other factors that may affect the process.
In order to achieve this goal, process control typically involves monitoring the process using statistical methods and comparing the current level of variation in the process outcomes against the desired outcome specifications.
If the variation is within acceptable limits, the process is considered to be under control.
If the variation is outside of acceptable limits, the process may require adjustment or other corrective action to bring it back into control.
Overall, process control is an important tool in quality management, manufacturing, and other fields where consistent outcomes are critical to success.
By monitoring and adjusting processes over time, organizations can ensure that their products and services meet the needs and expectations of their customers, while minimizing waste, errors, and other sources of variation.
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A frog catches insects for their lunch. The frog likes to eat flies and mosquitoes in a certain ratio, which the diagram shows.
A tape diagram with 2 tapes of unequal lengths. The first tape has 3 equal parts. A curved bracket above the first tape is labeled Flies. The second tape has 7 equal parts of the same size as in the first tape. A curved bracket below the second tape is labeled Mosquitoes.
A tape diagram with 2 tapes of unequal lengths. The first tape has 3 equal parts. A curved bracket above the first tape is labeled Flies. The second tape has 7 equal parts of the same size as in the first tape. A curved bracket below the second tape is labeled Mosquitoes.
The table shows the number of flies and the number of mosquitoes that the frog eats for two lunches.
Based on the ratio, complete the missing values in the table.
Day Flies Mosquitoes
Monday
15
1515
Tuesday
14
1414
when solving an oblique triangle given three sides, use the ---select--- form of the law of cosines to solve for an angle.
When solving an oblique triangle given three sides, use the inverse cosine form of the Law of cosines to solve for an angle.
When solving an "oblique-triangle" given three sides, we would use the inverse cosine, form of the Law of Cosines to solve for an angle.
The "Inverse-Cosine" function allows us to find the measure of an angle when given the ratio of the lengths of the triangle's sides.
The "Law-of-Cosines" relates the lengths of the sides of a triangle to the cosine of one of its angles.
The "Law-of-Cosines" states that for any triangle with sides of lengths a, b, and c, and opposite angles A, B, and C, respectively:
⇒ c² = a² + b² - 2ab × cos(C),
To solve for an angle, we would rearrange the equation to find the cosine of the angle,
⇒ Cos(C) = (a² + b² - c²)/(2ab),
Then, we will take the inverse cosine of both sides of the equation to find the value of the angle,
⇒ C = cos⁻¹((a² + b² - c²)/(2ab)),
This helps us to find the measure of angle C, depending on the units used in the original triangle sides.
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The given question is incomplete, the complete question is
When solving an oblique triangle given three sides, use the _____ form of the Law of cosines to solve for an angle.
in the anova test, degrees of freedom within (dfw) are equal to ______ and degrees of freedom between (dfb) are equal to (k - 1).
In the ANOVA test, degrees of freedom within (dfw) is equal to the total number of observations minus the total number of groups if we have N total observations and k groups, then dfw = N - k.
The ANOVA (Analysis of Variance) test is a statistical method used to compare the means of three or more groups.
Degrees of freedom within (dfw) are determined by the total number of observations minus the total number of groups, and degrees of freedom between (dfb) is simply the number of groups minus one.
On the other hand, degrees of freedom between (dfb) is equal to the number of groups minus 1, which is simply k - 1.
So, the final answer is:
dfw = N - k
dfb = k - 1
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An investment of $600 is made into an account that earns 6. 5% annual simple interest for 15
years. Assuming no other deposits or withdrawals are made, what will be the balance in the
account?
According to the investment, after 15 years, the balance in the account would be $1185.
To calculate the final balance after 15 years, we can use the formula for simple interest:
Simple Interest = Principal x Interest Rate x Time
In this case, the principal is $600, the interest rate is 6.5%, and the time is 15 years.
Simple Interest = $600 x 0.065 x 15
Simple Interest = $585
So the investment of $600 earns $585 in simple interest over 15 years. To find the final balance, we add the interest earned to the initial investment:
Final Balance = Principal + Simple Interest
Final Balance = $600 + $585
Final Balance = $1185
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Elaine's height is 75% of her father's. If her father is 180 cm tall, how tall is Elaine?
Answer: Elaine is 135cm tall
Step-by-step explanation:
Elaine's height is 75% of her father's height.
We can calculate Elaine's height by multiplying her father's height by 75% or 0.75.
Elaine's height = 0.75 * 180 cm
= 135 cm
Therefore, Elaine is 135 cm tall.