To determine customer opinion of their musical variety, sony randomly selects 120 concerts during a certain week and surveys all concertgoers. The type of sampling is used is "Cluster."
What is a survey?A survey is a technique of gathering information from a sample of people by asking relevant questions with the goal of understanding populations as a whole.
Some key features regarding the survey are-
Surveys are an important source of data and insights for everyone in the information economic system, from businesses to the media to government and academia.For more than a decade, online survey software has been the most popular method of conducting survey research, and because getting faster insights is critical to business success, so much companies are relocating to digital solutions.The selection of a sample is critical for collecting accurate and reliable information about the entire population.Cross-check e - mail addresses against names and addresses and remove duplicates if you're sampling a huge database of customer email addresses and only require one response per household.To know more about the survey, here
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if x is a continuous random variable with the uniform distribution u(5.5,20.5), what is p(x<8)?
The correct value of p(x<8) is 1.875.
Define probabilityTo determine how probable something is gonna occur, use probability. It is a number between 0 and 1, where 0 denotes the absence of a possibility and 1 denotes the existence of one. By dividing the number of favorable outcomes by the entire number of potential possibilities, the probability of an occurrence is determined.
To find the probability that is greater than 8, we need to integrate this probability density function from 5.5 to 20.5:
P(X < 8) = ∫[5.5,20.5] f(x) dx
= ∫[5.5,20.5] (1/8) dx
= [x/8] from 5.5 to 20.5
= (20.5/8) - (5.5/8)
= 15/8
= 1.875.
Therefore, the correct probability is 1.875.
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please help
Find the slope of the line passing through the points (0, 2) and (1, -1)
**NOTE: Use the slope formula to find the slope: m=y2−y1x2−x1
the line passing through (0,2) and (1, -1)
Answer:
m= -3
Step-by-step explanation:
You should do m = -1 - 2 x 1 - 0 which equals m = -3
Cynthia is making peanut butter cookies. Her recipe calls for 2 cup of peanut butter to make 1 dozen cookies. Which fraction best represents the ratio of cups of peanut butter to number of cookies? A 1/36 B. 1/12 C 1/6 D 1/4
Answer:
D I think
Step-by-step explanation:
one dozen is 12 so you reduce it so you make it smaller
What is the perimeter of ABC when AB=6
Q.No.4. Calculate the cube root of 64.
Answer:
\(\huge\boxed{\sqrt[3]{64}=4}\)
Step-by-step explanation:
We know:
\(\sqrt{a}=b\iff b^2=a\qquad\text{for}\ a\geq0\\\\\sqrt[3]{a}=b\iff b^3=a\)
We have:
\(\sqrt[3]{64}=4\ \text{because}\ 4^3=4\cdot4\cdot4=64\)
In the 1990s, it was generally believed that genetic abnormalities affected about 30% of children. Some people believe that the increase in the number of chemicals in the environment has led to an increase in the incidence of abnormalities, which could have important implications for health insurance companies. A recent study examined 401 randomly selected children and found that 136 of them showed signs of a genetic abnormality.
Required:
a. Which hypotheses should be used to test if the proportion of genetic abnormalities has increased in recent years?
b. Are the conditions met for doing the hypothesis test?
c. What is the p-value?
d. What does this p-value mean?
a. The proportion of genetic abnormalities in recent years is greater than the proportion believed in the 1990s (p > 0.30). b. The number of successes (136) and the number of failures 265 should be at least 10. In this case, both criteria are satisfied. c. The z is 2.048. d. If the p-value is larger than the significance level, it would suggest that there is not enough evidence to reject the null hypothesis and conclude that the proportion has not significantly changed.
a. The hypotheses to test if the proportion of genetic abnormalities has increased in recent years can be stated as follows:
Null hypothesis (H₀): The proportion of genetic abnormalities in recent years is equal to or less than the proportion believed in the 1990s (p ≤ 0.30).
Alternative hypothesis (Ha): The proportion of genetic abnormalities in recent years is greater than the proportion believed in the 1990s (p > 0.30).
b. To conduct the hypothesis test, we need to verify if the conditions for performing the test are met. The conditions are as follows:
Random Sample: The study states that the 401 children were randomly selected, so this condition is met.
Independence: The sample should consist of independent observations. If the children were selected randomly and their genetic abnormalities are unrelated to each other, then the independence condition is likely satisfied.
Large Sample Size: For hypothesis tests involving proportions, it is recommended to have a large enough sample size to ensure the sampling distribution is approximately normal. There is no specific threshold, but as a guideline, both the number of successes (136) and the number of failures (401 - 136 = 265) should be at least 10. In this case, both criteria are satisfied.
c. To find the p-value, we need to perform a hypothesis test based on the given data. Since the sample size is large, we can use the normal approximation for the binomial distribution. We calculate the test statistic, which is the z-score for proportions, and then find the p-value.
The formula for the z-score for proportions is:
z = (\(\hat p\) - p₀) / √((p₀ * (1 - p₀)) / n)
where \(\hat p\) is the sample proportion, p₀ is the proportion under the null hypothesis, and n is the sample size.
In this case, \(\hat p\) (sample proportion) = 136 / 401 = 0.339, p₀ (proportion under the null hypothesis) = 0.30, and n (sample size) = 401.
Calculating the z-score:
z = (0.339 - 0.30) / √((0.30 * (1 - 0.30)) / 401)
z = 2.048
To find the p-value associated with this z-score, we look up the area to the right of the z-score in the standard normal distribution table or use statistical software.
d. The p-value represents the probability of observing a test statistic as extreme as the one calculated (or more extreme) assuming the null hypothesis is true. In this case, since we are testing if the proportion of genetic abnormalities has increased, the p-value is the probability of observing a sample proportion as large as or larger than 0.339, given that the true proportion is equal to or less than 0.30.
Without the actual p-value, it is not possible to provide a specific interpretation. However, if the p-value is smaller than the significance level (commonly chosen as 0.05), it would indicate that there is strong evidence to reject the null hypothesis and conclude that the proportion of genetic abnormalities has increased in recent years.
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Students at a high school are asked to evaluate their experience in the class at the end of each school year. The courses are evaluated on a 1-4 scale – with 4 being the best experience possible. In the History Department, the courses typically are evaluated at 10% 1’s, 15% 2’s, 34% 3’s, and 41% 4’s. Mr. Goodman sets a goal to outscore these numbers. At the end of the year he takes a random sample of his evaluations and finds 11 1’s, 14 2’s, 47 3’s, and 53 4’s. At the 0.05 level of significance, can Mr. Goodman claim that his evaluations are significantly different than the History Department’s?
Hypotheses:
H0: There is (no difference /a difference) in Mr. Goodman’s evaluations and the History Department’s.
H1: There is (no difference /a difference) in Mr. Goodman’s evaluations and the History Department’s.
Enter the test statistic - round to 4 decimal places.
Enter the p-value - round to 4 decimal places.
Can it be concluded that there is a statistically significant difference in Mr. Goodman’s evaluations and the History Department’s?
(Yes/ No)
It (B) cannot be determined that there is a statistically significant difference between Mr. Goodman's ratings and those of the History Department in the context of Mr. Goodmain and with all the material provided.
What is a random sample?In statistics, a simple random sample (or SRS) is a subset of people (a sample) picked at random from a larger group of people (a population), all with the same probability.
It is a method of choosing a sample at random. Each subset of k people in SRS has the same chance of getting selected for the sample as any other subset of k people.
An objective sampling strategy is a straightforward random sample. Simple random sampling is a fundamental kind of sampling that can be used in combination with other, more sophisticated sampling techniques.
So, in the given situation of Mr. Goodmain and with all the information given we can conclude that it cannot be concluded that there is a statistically significant difference in Mr. Goodman’s evaluations and the History Department’s.
Therefore, it (B) cannot be determined that there is a statistically significant difference between Mr. Goodman's ratings and those of the History Department in the context of Mr. Goodmain and with all the material provided.
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Complete question:
Students at a high school are asked to evaluate their experience in the class at the end of each school year. The courses are evaluated on a 1-4 scale – with 4 being the best experience possible. In the History Department, the courses typically are evaluated at 10% 1’s, 15% 2’s, 34% 3’s, and 41% 4’s. Mr. Goodman sets a goal to outscore these numbers. At the end of the year, he takes a random sample of his evaluations and finds 11 1’s, 14 2’s, 47 3’s, and 53 4’s. At the 0.05 level of significance, can Mr. Goodman claim that his evaluations are significantly different than the History Departments?
Hypotheses:
H0: There is (no difference /difference) in Mr. Goodman’s evaluations and the History Department’s.
H1: There is (no difference /difference) in Mr. Goodman’s evaluations and the History Department’s.
Enter the test statistic - round to 4 decimal places.
Enter the p-value - round to 4 decimal places.
Can it be concluded that there is a statistically significant difference between Mr. Goodman’s evaluations and the History Department’s?
a. Yes
b. No
whats the slope help pls!
Out of the 50 colleges in a cer- tain state, 25 are private, 15 offer engineering majors, and 5 are private colleges offering engineering majors. Find the probability that a college selected at random from the state (a) offers an engineering major. (b) offers an engineering major, given that it is public. (c) is private, given that it offers an engineering major. (d) is public, given that it offers an engineering major.
The probability that a college selected at random from the state are (a) 3/10, b- 2/5, c- 1/2 and d- 1/10.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
Out of the 50 colleges in a certain state, 25 are private, 15 offer engineering majors and 5 are private colleges offering engineering majors.
The probability that a college selected at random from the state (a) offers an engineering major.
= 15 / 50
= 3/10
The probability that a college selected at random from the state (b) offers an engineering major, given that it is public.
= 20 /50
= 2/5
The probability that a college selected at random from the state (c) is private, given that it offers an engineering major.
= 25/50
= 1/2
The probability that a college selected at random from the state (d) is public, given that it offers an engineering major.
= 5/50
= 1/10
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Which graph represents a function?
Answer:
1
Step-by-step explanation:
because its the only one where if you run a line down the y axis it only crosses the line at one point
P= $8400
r = 5%
t = 6 years
Find A
help pls!!!!!! i will give u 18 points
Answer:
Could have been 12, 13, or 14
Step-by-step explanation:
If you add 2 to 12 it's 14. 14 isn't less than 14 or more than 16.
If you add 2 to 13 it's 15. 15 isn't less than 14 or more than 16.
If you add 2 to 14 it's 16. 16 isn't less than 14 or more than 16.
l –3 |
A. 3
B. -3
C. 0.30
D. 30
Answer:
| -3 | = 3
Step-by-step explanation:
minus is removed
v/8 - 3.1 = -15.9 solve for v
Hello!
So, we are given the following to solve.
Solve for v.
\(\frac{v}{8}-3.1=-15.9\)
To solve for v, we to do as follows:
1. Add 3.1 to both sides.
\(\frac{v}{8}-3.1+3.1=-15.9+3.1\)2. Simplify.
\(\frac{v}{8} =-12.8\)3. Multiply both sides by 8.
\(\frac{8v}{8}=8(-12.8)\)4. Simplify.
\(v=-102.4\) ← Hence, our solution.Hope this helps!
Use trigonometric identities to solve each equation within the given domain.
3 tan(x) = 2 sin(2x) from [0, 2π) PLEASE SHOW WORK!!!
Recall that the tangent function is defined by
tan(x) = sin(x)/cos(x)
Also recall the double angle identity for sine,
sin(2x) = 2 sin(x) cos(x)
Then the equation is the same as
3 sin(x)/cos(x) = 4 sin(x) cos(x)
Move everything to one side to prepare to factorize:
3 sin(x)/cos(x) - 4 sin(x) cos(x) = 0
sin(x)/cos(x) (3 - 4 cos²(x)) = 0
As long as cos(x) ≠ 0, we can omit the term in the denominator, so we're left with
sin(x) (3 - 4 cos²(x)) = 0
and so
sin(x) = 0 or 3 - 4 cos²(x) = 0
sin(x) = 0 or cos²(x) = 3/4
sin(x) = 0 or cos(x) = ±√3/2
On the interval [0, 2π),
• sin(x) = 0 for x = 0 and x = π
• cos(x) = √3/2 for x = π/6 and x = 11π/6
• cos(x) = -√3/2 for x = 5π/6 and x = 7π/6
(None of these x make cos(x) = 0, so we don't have to omit any extraneous solutions.)
the height of chance's beanstalk decreases by 50% per day when he stops feeding it. chance's beanstalk is 20 inches tall when he stops feeding it.
When Chance stops feeding the beanstalk, it loses half its height every day. Chance's beanstalk grows to a height of 20 inches after he stops feeding it= 20.5^t
What is unitary method?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.
On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Consider your square as being composed of smaller unit squares.
The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some typical units for measuring area are square cms, square feet, square inches, square meters, etc.
Draw unit squares with 1-centimeter sides in order to calculate the area of the square figures shown below. The shape will therefore be measured.
Hence, When Chance stops feeding the beanstalk, it loses half its height every day. Chance's beanstalk grows to a height of 20 inches after he stops feeding it= 20.5^t
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An activity on a pert network has these time estimates: optimistic = 2, most likely = 5, and pessimistic = 10. what is its expected activity time?
The expected activity time for the given statement is = 5.33
What time is the PERT network expected to be active?The average amount of time required for an activity when it is repeatedly performed is known as the expected time. The weighted average of the three estimated times, i.e., the optimistic time, the most probable time, and the pessimistic time, is used in project management analysis to determine the expected time of activity.
The PERT system:A network model called the Program Evaluation and Review Technique (PERT) allows for randomness in the timing of activity completion. PERT was created in the late 1950s again for a massively labor-intensive Polaris project for the US Navy. It might shorten a lot of time and cost needed to finish a project.
According to the given information:optimistic = 2
most likely = 5
pessimistic = 10.
We will use the following formula to calculate the anticipated time for each activity in order to solve this problem:
Expected Time = (Optimistic Time + (4 x Most likely) + Pessimistic Time) / 6
Putting the values into formula:
= (2 + (4 x 5) + 10)/ 6
= (2 + 20 + 10) / 6
= 5.33
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You have a function that takes in an X value and produces a Y value. The x value equals 7 times the y value, plus 18 more. What's the x value when the y value equals 6?
Find the surface area or volume of each rectangular prism. (Show work pls)
Answer:
496 in.²
346 mm²
880 in.²
168 cm³
960 m³
420 yd³
Step-by-step explanation:
SA = 2(wl + hl + hw)
SA = 2 · (8 · 16 + 5 · 16 + 5 · 8)
SA = 496
SA = 2(wl + hl + hw)
SA = 2 · (5 · 13 + 6 · 13 + 6 · 5)
SA = 346
SA = 2(wl + hl + hw)
SA = 2 · (4 · 20 + 15 · 20 + 15 · 4)
SA = 880
V = whl
V = 4 · 7 · 6
V = 168
V = whl
V = 10 · 8 · 12
V = 960
V = whl
V = 14 · 3 · 10
V = 420
Solve for x please
choices are..
20
180
25
120
Answer:
x = 25
Step-by-step explanation:
Angle on a straight line add up to 180
therefore
2x + 10 + 4x + 20 = 180
6x + 30 = 180
6x = 180-30
6x = 150
6x/6 = 150/6
x = 25
Hence the value of x = 25°
Kendrick attends a private school where he must wear a uniform. Last year, the price of the uniform was $52. This year's uniform price was $65. What is the percent of increase in the cost of the uniform?
The percent increase in the cost of the uniform from last year to this year is 25%.
What is the percent of increase in the cost of the uniform?To find the percent increase in the cost of the uniform from last year to this year, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100 to express the result as a percentage.
The difference between this year's price and last year's price is:
$65 - $52 = $13
The original price (last year's price) is $52.
So the percent increase in the cost of the uniform is:
percent increase = (difference / original price) x 100
percent increase = ($13 / $52) x 100
percent increase = 0.25 x 100
percent increase = 25%
Therefore, the percent increase in the cost of the uniform from last year to this year is 25%.
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Do the following using the given information: Utility function u(x1+x2) = .5ln(x1) + .25ln(x₂) .251 Marshallian demand X1 = - and x₂ = P₂ . Find the indirect utility function . Find the minimum expenditure function . Find the Hicksian demand function wwww
Hicksian demand functions are:x1** = 2P₁x₂ ; x₂** = P₂²
Utility function: u(x1+x2) = .5ln(x1) + .25ln(x₂) .The Marshallian demand functions are: x1* = - and x₂* = P₂.
The indirect utility function is found by substituting Marshallian demand functions into the utility function and solving for v(P₁, P₂, Y).u(x1*,x2*) = v(P₁,P₂,Y) ⇒ u(-, P₂) = v(P₁,P₂,Y) ⇒ .5ln(-) + .25ln(P₂) = v(P₁,P₂,Y) ⇒ v(P₁,P₂,Y) = - ∞ (as ln(-) is not defined)
Thus the indirect utility function is undefined.
Minimum expenditure function can be derived from the Marshallian demand function and prices of goods:
Exp = P₁x1* + P₂x2* = P₁(-) + P₂P₂ = -P₁ + P₂²
Minimum expenditure function is thus:
Exp = P₁(-) + P₂²
Hicksian demand functions can be derived from the utility function and prices of goods:
H1(x1, P1, P2, U) = x1*H2(x2, P1, P2, U) = x2*
Hicksian demand functions are:
x1** = 2P₁x₂
x₂** = P₂²
If there are no restrictions on the amount of money the consumer can spend, the Hicksian demand functions for x1 and x2 coincide with Marshallian demand functions.
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Answer Please
If correct you will have good luck for the rest of your life if wrong `slenderman will come and get you.
Answer:
3x +5
Step-by-step explanation:
Thats it.
*prays its right*
Can someone help me with this one
Answer:
#9 has 8 vertices
# 10 has 5 vertices
Step-by-step explanation:
A vertex is is a point where two or more curves, lines, or edges meet. The word "vertices" is the plural of the word "vertex."
Which of the following are not polynomials?
Answer:
A C and D are not polynomial
Mary Beth is making 36 flower bouquets. 5/6 of the bouquets are tulips and the rest are roses. How many bouquets are roses?
Answer:
6
if 5/6 are tulips, that mean 1/6 are roses. you can find 1/6 of 36 by dividing by 6. 36÷6=6
Determine whether the planes are parallel, perpendicular, or neither. If neither, find the angle between them. (Round to one decimal place.)
51. x + 4y – 3z = 1, -3x + 6y + 7z = 0
52. 9x-3y + 6z = 2, 2y = 6x + 4z
53. x + 2y – z = 2, 2x - 2y + z = 1
54. x – y + 3z = 1, 3x + y – z = 2
55. 2x – 3y = z, 4x = 3 + 6y + 2z
To determine if two planes are parallel or perpendicular, we can examine their normal vectors. If the normal vectors are parallel, the planes are parallel.
If the normal vectors are perpendicular, the planes are perpendicular. If the normal vectors are neither parallel nor perpendicular, we can use the dot product formula to find the angle between them.
For the given planes:
The normal vectors are (1,4,-3) and (-3,6,7). Since the dot product of these vectors is not zero, the planes are neither parallel nor perpendicular. Using the dot product formula, we get cosθ = (-15)/(sqrt(26)*sqrt(58)), so θ ≈ 105.2 degrees.
To put the second equation in standard form, we have 6x - 2y - 2z = 0. So the normal vector of the second plane is (6,-2,-2). The normal vector of the first plane is (9,-3,6), which is not parallel or perpendicular to (6,-2,-2).
Therefore, the planes are neither parallel nor perpendicular. Using the dot product formula, we get cosθ = 7/(3*sqrt(30)), so θ ≈ 72.6 degrees.
The normal vectors are (1,2,-1) and (2,-2,1). Since the dot product of these vectors is zero, the planes are perpendicular.
The normal vectors are (1,-1,3) and (3,1,-1). Since the dot product of these vectors is not zero, the planes are neither parallel nor perpendicular. Using the dot product formula, we get cosθ = -5/(2*sqrt(35)), so θ ≈ 137.9 degrees.
To put the second equation in standard form, we have 6y + 2z = 4x - 3. So the normal vector of the second plane is (4,-6,-2). The normal vector of the first plane is (2,-3,-1), which is parallel to (4,-6,-2). Therefore, the planes are parallel.
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Jalen and his 2 brothers each ate 3/4 of a cupcake. How many cupcakes did they eat altogether?
2 cupcakes
1 1/4 cupcakes
2 1/4 cupcakes
2 3/4 cupcakes
The answer is 2 1/4 cupcakes
Answer:
2 1/4 cupcakes
Step-by-step explanation:
Step 1: State what is know
There are 3 people Jake, Brother 1, and Brother 2. They all ate 3/4 of a cup cake each
Step 2: Solve
Multiple 3 by 3/4
3 x 3/4 = \(C_{Total}\)
2.25 = \(C_{Total}\\\)
0.25=1/4
2 1/4 cupcakes
Step 3: Therefore Statement
Therefore the 3 brothers ate 2 1/4 cupcakes
what are the factors of x^2 + 11x + 24
Hope this help!!!
Have a nice day!!!
you work as an assistant coach on the university swim team and earn $13 per hour. one day, you decide to skip the hour-long practice and go to the county fair instead, which has an admission fee of $10
23$ is the total cost .
What is cost and example?
The definition of cost is to be valued at something or to lose. A loaf of bread costing $3 is an example of a cost. Giving up your freedom in order to grant freedom to another person is an illustration of cost.Fixed and variable costs are the two main categories of expenses incurred by enterprises. Variable costs change with output, whereas fixed costs do not. Overhead costs are another name for fixed expenses. They must be paid whether a company produces 100 or 1,000 widgets.the total cost = 13$ + 10$= 23$ because he losses a hour in work .
13$ and additionally spending 10$ in carnival .
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