Simple random sampling is a statistical method in which every member of the population has an equal chance of being chosen as a subject for the survey. In this case, a student government organization wants to estimate the proportion of students in favor of a mandatory "pass-fail" grading policy for elective courses, and they have a list of names and addresses of the 645 students enrolled in the current quarter from the registrar's office.
They can use simple random sampling to select a sample of students to participate in the survey. The first 10 students who would be selected using simple random sampling using three-digit random numbers in row 10 of table 7.1 and moving across the row from left to right are as follows:816283610752991768275354233410 The procedure for selecting a simple random sample of size n from a population of N subjects is as follows: Assign a unique identification number to every member of the population Obtain a list of identification numbers of the population. Use a random number generator to select n random numbers from 1 to N, without replacement, to identify the members of the sample. Identify the members of the sample using the randomly selected identification numbers. Simple random sampling is the most straightforward sampling method, and it produces samples that are unbiased and representative of the population. It is important to note that the size of the sample chosen should be large enough to make accurate inferences about the population.For such more question on organization
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Cabs pass your workplace according to a Poisson process with a mean of five cabs per hour. Suppose that you exit the workplace at 6:00 pm. Determine the following: (a) Probability that you wait more than 10 minutes for a cab. (b) Probability that you wait fewer than 20 minutes for a cab. (c) Mean number of cabs per hour so that the probability that you wait more than 10 minutes is 0. 1
a) The probability of waiting more than 10 minutes for a cab is 0.303 or approximately 30.3%.
b) The probability of waiting fewer than 20 minutes for a cab is 0.726 or approximately 72.6%.
b) The mean number of cabs per hour that we need to have a probability of waiting more than 10 minutes for a cab of 0.1 is 7.88.
(a) The probability of waiting more than 10 minutes for a cab can be calculated using the Poisson distribution formula. Let's denote the average rate of cabs passing by as λ. Since the mean is given as five cabs per hour, we can set λ = 5. We need to find the probability of waiting more than 10 minutes, which is equivalent to waiting for 1/6 of an hour. We can use the Poisson distribution formula to calculate this probability:
P(X > 0.1667) = 1 - P(X ≤ 0.1667) = 1 -\(e^{-\lambda t}\)Σ(k=0 to ⌊λt⌋) (λt)ˣ / k!
where X is the number of cabs passing by in 1/6 of an hour, t = 1/6, λ = 5, and ⌊λt⌋ denotes the floor function of λt. Plugging in the values, we get:
P(X > 0.1667) = 1 - P(X ≤ 0.1667) = 1 - \(e^{-5(1/6)}\)Σ(k=0 to ⌊5(1/6)⌋) (5(1/6))ˣ / k!
= 1 - \(e^{-0.833}\)Σ(k=0 to 0) (0.833)ˣ / k!
= 0.303
(b) The probability of waiting fewer than 20 minutes for a cab can also be calculated using the Poisson distribution formula. We need to find the probability of waiting for 1/3 of an hour since 20 minutes is equivalent to 1/3 of an hour. Using the same formula as above, we get:
P(X ≤ 0.333) = \(e^{5(1/3)}\)Σ(k=0 to ⌊5(1/3)⌋) (5(1/3))ˣ / k!
= 0.726
(c) Finally, to find the mean number of cabs per hour so that the probability of waiting more than 10 minutes is 0.1, we need to solve for λ in the Poisson distribution formula:
P(X > 0.1667) = 1 - \(e^{-\lambda(1/6)}\)Σ(k=0 to ⌊λ(1/6)⌋) (λ(1/6))ˣ / x! = 0.1
Using trial and error or a numerical solver, we can find that the value of λ that satisfies this equation is approximately 7.88.
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data, you determined that students' weekly studying time, in hours, followed the N(20,3) distribution. What proportion (not percentage) of all students would study between 19 and 21 hours a week? Round your answer to 4 decimal places. 0.2611 0.3781 0.4719 0.4950 You are interested in studying Queen's students' study habits. You survey 100 Queen's students and collect the following information: (1) Student Name (2) GPA (1-12) (3) Average time spent studying per week (hours) (4) IQ (5) Major subject (6) Most common study space (library, home, etc) (7) Study with music (Yes/No) Select all categorical variables. Major Subject Average time spent studying per week Student Name Most common study space 10 GPA Study with music Suppose you have the following 4 observations for a variable in your dataset. Calculate the standard deviation and round your answer to 2 decimal places. 17,15,7,3 5.29 7.21 6.61 7.57 Suppose you have the following 10 observations for a variable in your dataset. Whi are the mean and median? 10,17,8,3,13,20,10,17,1,6 Mean: 11.5 Median: 10.5 Mean: 10.5 Median: 10 Mean: 9.9 Median: 11.5 Mean: 12.25 Median: 12
Rounded to 4 decimal places, the proportion of students who would study between 19 and 21 hours a week is 0.2586. Therefore, the answer is 0.2586.
To calculate the proportion of students who would study between 19 and 21 hours a week, we can use the standard normal distribution since we know that the studying time follows the N(20,3) distribution.
First, we need to standardize the values of 19 and 21 using the formula z = (x - μ) / σ, where μ is the mean and σ is the standard deviation.
For 19 hours:
z = (19 - 20) / 3 = -0.3333
For 21 hours:
z = (21 - 20) / 3 = 0.3333
Next, we can find the cumulative probability associated with these standardized values using a standard normal distribution table or calculator. The difference between these two cumulative probabilities will give us the proportion of students studying between 19 and 21 hours.
Using a standard normal distribution table, the cumulative probability for z = -0.3333 is 0.3707, and the cumulative probability for z = 0.3333 is 0.6293.
Proportion = 0.6293 - 0.3707 = 0.2586
Rounded to 4 decimal places, the proportion of students who would study between 19 and 21 hours a week is 0.2586.
Therefore, the answer is 0.2586.
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PLEASE HELP!
In the drawing, the symmetries of the sides AB and AC of triangle ABC intersect at point O and <MAN = 84°. Find the magnitude of:
A) <BOC B) <MON
Answer:
∠BOC = 96°∠MON = 48°Step-by-step explanation:
Simplify: l 120-x l if x<120
Answer:
120-x
Step-by-step explanation:
If x is already less, then you don't need absolute value
true or false: before you add or subtract a radical, you should make sure each radical is completely simplified.
Answer:
true
Step-by-step explanation:
How do you write nine and twelve thousandths in the place value chart
Answer:
Step-by-step explanation:
you need to put 9 in the ones places
0 in the tenths place
1 in hundredths place
and a 2 in the thousandths place
in an oral exam, a student is supposed to draw a card randomly from a set of 20 cards and answer all three questions on the selected card. mike is taking the exam. there are 8 favorable cards (mike knows answers for all 3 questions). mike will get a grade a if he answers all 3 questions. what is the probability for mike to get an a if he draws the card:
if Mike draws a card randomly, he has a 40% chance of getting a grade of "A".
The probability of an event is a numerical measure of the likelihood that the event will occur. It is expressed as a fraction or decimal between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur. In this case, the event is Mike getting a grade of "A" on the oral exam, and the probability of this event is calculated as the number of favorable outcomes (cards with answers known by Mike) divided by the total number of possible outcomes (all 20 cards).
So, if Mike draws a card randomly from the set of 20 cards, he has a chance of 8/20 = 2/5 = 0.4 or 40% of answering all 3 questions correctly and getting a grade of "A". This means that if the experiment of drawing a card and answering the questions is repeated many times, Mike is expected to get a grade of "A" in 40% of those instances. The probability of Mike getting a grade of "A" is equal to the number of favorable outcomes (cards with answers known by Mike) divided by the total number of possible outcomes (all 20 cards).
Since Mike knows the answers to all 3 questions on 8 cards, the probability of him getting a grade of "A" is:
P(A) = 8/20 = 2/5 = 0.4 or 40%
So, if Mike draws a card randomly, he has a 40% chance of getting a grade of "A".
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Expand (3x + 1)(x + 2) using the box method of by foiling. Show or explain
your steps.
HELLLLPPPP?!!ASAP
Coordinates are (-4,-6) (9,7)
The coordinate of point 3 / 10 away from A in the direction of AB is (6, 4).
What is section formula?Section formula is used in Coordinate geometry to find the ratio between two points on a line given one another point on the line.
Given that,
AB is a line segment.
The coordinate of A is (-4, -6) and that of B is (9, 7).
The distance of the point C 3 / 10 from A is 7 / 10 from B.
Suppose the point is C and its coordinate is (x, y).
Thus, the point c divides AB in the ratio AC : CB = 3 : 10.
Now, use section formula to get the coordinate of the given point as,
x = (mx₁ + nx₂) / (m + n) and y = (my₁ + ny₂) / (m + n)
Substitute the respective values to get the coordinates of C as,
x = (3 × -4 + 10 × 9) / (3 + 10) and y = (3 × -6 + 10 × 7) / (3 + 10)
⇒ x = 6 and y = 4
Hence, the coordinate of the given point is (6, 4).
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this month, the number of visitors to the local art museum was 3000. the museum curator estimates that over the next 6 months, the number of visitors to the museum will increase 4% per month. which function models the number of visitors to the museum t months from now?
The number of visitors to the local art museum is expected to increase by 4% per month over the next 6 months. A function that models the number of visitors to the museum "t" months from now can be represented by the equation: N(t) = 3000 * \((1 + 0.04)^t.\)
To model the number of visitors to the museum "t" months from now, we need to account for the 4% increase in visitors each month. We start with the initial number of visitors, which is given as 3000.
To calculate the number of visitors after 1 month, we multiply the initial number of visitors (3000) by (1 + 0.04), which represents a 4% increase. This gives us 3000 * (1 + 0.04) = 3120.
Similarly, to calculate the number of visitors after 2 months, we multiply the previous number of visitors (3120) by (1 + 0.04) again. This process continues for each month, with each month's number of visitors being 4% greater than the previous month.
Therefore, the function that models the number of visitors to the museum "t" months from now is N(t) = 3000 * (1 + 0.04)^t, where N(t) represents the number of visitors and t represents the number of months from the current time.
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A painter uses 1/4 gallon to cover 1 door of a building. Enter the number of doors that can be painted using 2 1/2 of paint.
Answer:
8 1/2 doors.
Step-by-step explanation:
1/4 is a quarter of a square.
1/4 can cover 1 door.
We have 2 1/2 of paint so there are 4 one quarters (1/4) make up 1.
2 1/2 paint will cover 8 1/2 doors.
(100 points so hurry)What is the length of NA?
O2 units
09 units
11 units
14 units
Answer:
NA = 9 units
Step-by-step explanation:
The incentre is equally far away from the triangle's 3 sides , then
MA = LA , that is
6x - 3 = 5x - 1 ( subtract 5x from both sides )
x - 3 = - 1 ( add 3 to both sides )
x = 2
Then
LA = 5x - 1 = 5(2) - 1 = 10 - 1 = 9 , so
NA = LA = 9 units
Solve A=1/2(bh) for h
Answer: 2A/b = h
Step-by-step explanation: First, get rid of the fraction by multiplying both sides of the equation by 2. That gives us 2A = bh.
Don't be thrown off by the capital A in this problem.
Just treat it like any other variable.
To get h by itself on the right side of the equation, we now simply
divide both sides of the equation by b and our answer is 2A/b = h.
Take a look back at the formula now in the
original problem, A = 1/2bh, does that look familiar?
Type the correct answer in the box. In this triangle, cosA/cosB = ?
Answer:
\(\displaystyle 1 = \frac{cos∠A}{cos∠B}\)
Step-by-step explanation:
\(\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ\)
Since this is a 45°-45°-90° triangle, you will have two IDENTICAL legs and the hypotenuse is the value of the leg multiplied by the square root of 2:
\(\displaystyle x\sqrt{2} = HYPOTENUSE \\ x = LEGS \\ \\ 4,242640687 ≈ 3\sqrt{2} \\ \\ \frac{3}{4,242640687} ≈ cos∠B \\ \frac{3}{4,242640687} ≈ cos∠A \\ \\ \frac{\frac{3}{4,242640687}}{\frac{3}{4,242640687}} = 1\)
I am joyous to assist you anytime.
The value of expression cos A / cos B is,
⇒ cos A / cos B = 1
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle ABC is shown in figure.
Now., We know that;
cos A = Base / Hypotenuse
cos A = 3 / 4.24
And, cos B = 3 / 4.24
Thus, The value of expression cos A / cos B is,
⇒ cos A / cos B = (3/4.24) / (3/4.24)
⇒ cos A / cos B = 1
So, The value of expression cos A / cos B is,
⇒ cos A / cos B = 1
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Best one gets brainly
Answer: The answer is B>3 so if you don't have one with an open circle and going right then the answer is a , but the correct answer would be an open circle to the right or 3
Step-by-step explanation:
Consider the following problem: The data set includes 107 body temperatures of healthy adult humans for which x=98.7°F and s = 0.72° F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What is the appropriate symbol to use for the answer?___ < δ < ______ < µ < ______ < p < ______ < z < ______ < n < ___
The appropriate symbols to use for the answer are: µ - z * (s / √n) < δ < µ + z * (s / √n)
To construct a confidence interval estimate for the mean body temperature of all healthy humans, we can use the symbol "µ" to represent the population mean.
A 99% confidence interval estimate for the mean body temperature can be represented as:
µ - z * (s / √n) < µ < µ + z * (s / √n)
In this expression:
"z" represents the critical value from the standard normal distribution corresponding to the desired confidence level (in this case, 99%).
"s" represents the sample standard deviation.
"n" represents the sample size.
Therefore, the appropriate symbols to use for the answer are:
µ - z * (s / √n) < δ < µ + z * (s / √n)
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h(x) is a function as defined below:
h(x) = 3x
If you input a 2 into h(x), what do you get for the output?
Enter your answer in the space provided below. (Example answer: 42)
Find the length of side x in the simplest radical form with a rational denominator.
Answer:4.243
Step-by-step explanation:https://www.omnicalculator.com/math/right-triangle-side-angle?c=USD&v=given:0,angle_beta1:45!deg,b1:3!inch
Coach Jackson measured the height of each player on the Springfield Middle School volleyball team.
What is the range of the players' heights?
Answer: Hello! I'm Jungkook. Here is your answer.....
63-55= 8
8
Step-by-step explanation:
Hope this helps! Anneyong/Bye!
xoxoKookie
if the probability is 0.22 that a candidate wins the election, what is the probability that he loses ?
The probability of the candidate losing the election is 0.78 or 78%.
The probability of an event happening plus the probability of it not happening equals 1. So, if the probability of a candidate winning the election is 0.22, the probability of the candidate losing the election would be:
P(losing) = 1 - P(winning)
= 1 - 0.22
= 0.78
Therefore, the probability of the candidate losing the election is 0.78 or 78%.
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Gio plotted the following points on the coordinate plane below. R(-3.5.0). S(2.5,1.5), 7(-45,-25), (2,-3.5).(-4,-3.5) 1 2 . $ -5 4 -3 -2 -14 5 -5 Which points did Gio graph incorrectly? Select all that apply.
Answer:
It is R, T.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I got it right
The following data is organized from lowest to highest. (123, 125, 127, 141, 149, 185, 203, 215, 234, 234, 252, 279, 302, 303, 321, 327, 350, 358, 404, 425) What is the value of the median
Answer:
the median of th given data is 243
there are 100 fifty fifty tickets for sale for $3 each. first prize is $150. determine the expected value when 1 ticket is purchased.
When purchasing one ticket for $3 from a pool of 100 fifty-fifty tickets, the expected value is approximately -$1.50.
The expected value of an event is calculated by multiplying the probability of each outcome by its corresponding value and summing them up. In this case, there are 100 fifty-fifty tickets for sale, each priced at $3. The first prize is $150. To determine the expected value when purchasing one ticket, we need to calculate the probability of winning and losing, as well as their respective values.
Since there are 100 tickets and the outcome is fifty-fifty, the probability of winning is 1/100 or 0.01 (1%). The value of winning is $150, while the value of losing is -$3 (the cost of the ticket). Therefore, we can calculate the expected value as follows:
Expected value = (Probability of winning * Value of winning) + (Probability of losing * Value of losing)
Expected value = (0.01 * $150) + (0.99 * -$3)
Expected value = $1.50 - $2.97
Expected value ≈ -$1.47
Thus, the expected value when purchasing one ticket is approximately -$1.47, indicating that, on average, the buyer can expect to lose $1.47 per ticket purchased.
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Please help I will give brainliest and a lot of points :)
The inequality shaded in the graph is given as follows:
y ≥ 5x/2 + 3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:
b = 3.
When x increases by 2, y increases by 5, hence the slope m is given as follows:
m = 5/2.
Then the equation of the line is given as follows:
y = 5x/2 + 3.
The line is a solid line, and values above it are plotted, hence the inequality is given as follows:
y ≥ 5x/2 + 3.
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What is the equation of a line that passes through (8,-5) and is parallel to the graphed line? In a linear graph line diagram, A line. Passes through 4 and minus 6
The equation of the line that passes through (8, -5) and is parallel to the graphed line is y = (1/4)x - 7.
To find the equation of a line that is parallel to the graphed line and passes through the point (8, -5), we need to determine the slope of the given line first.
Since the parallel line has the same slope as the given line, we can use the point-slope form of a linear equation to find the equation of the parallel line.
The point-slope form is given by:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope.
In this case, we have the point (8, -5) and we need to find the slope of the given line.
Let's assume the given line passes through the point (4, -6).
Using the slope formula:
m = (y2 - y1) / (x2 - x1)
m = (-6 - (-5)) / (4 - 8)
m = (-6 + 5) / (-4)
m = -1 / -4
m = 1/4
Now that we have the slope, we can substitute the values into the point-slope form:
y - (-5) = (1/4)(x - 8)
Simplifying the equation:
y + 5 = (1/4)x - 2
Subtracting 5 from both sides:
y = (1/4)x - 7
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Why do we use a pooled estimate of the population?
By merging information from several sources, a pooled estimate of the population is utilised to gain a better picture of the population mean as a whole.
When a person or organisation needs to combine data from several sources to better understand a population, they utilise a pooled estimate of the population. This can be accomplished in a number of ways, such as by integrating data from several surveys, data from various time periods, or data from various geographical regions .A more complete and accurate view of the population can be acquired by combining the data from several sources. Because it enables a more precise assessment of a population's needs and traits, this is particularly helpful for making judgements about policy or resource distribution. The comparison of several populations or the analysis of changes across time can both be done using pooled estimates. This is necessary to comprehend population change and determine the most effective resource allocation.
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hlo friends
H. C. F of 64 and 96 is ____.
The highest common factors of 64 and 96 is 32
How to find the highest common factor(HCF)Find the factors of 64 and 96 respectively
64 = 1, 2, 4, 8, 16, 32 and 6496 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96The common factors of 64 and 96 are 1, 2, 4, 8, 16, 32
Therefore, the highest common factors of 64 and 96 is 32
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Aint its good to have someone to love I swear its the best feeling of my life and shes freaky to i call her mamas and yes im bisexual and yes i got a shorty she thick to and her name sarah.
Answer:
yes
Step-by-step explanation:
why not purr bro I wish I had some one to love on
Answer:
Im also bi yessirr
She must got that body ody ody ody ody ody ody ody ody
what is the equivalent expression?
Answer:
B
Step-by-step explanation:
Negative and positive rule
Find the equilibrium vector for the transition matrix 0.47 0.19 0.34 0 0.45 0.55 0 0 1 The equilibrium vector is (Type an integer or decimaldor each matrix element)
The equilibrium vector for the given transition matrix is approximately (0.359, 0.359, 0.284).
To find the equilibrium vector, we need to solve the equation \(T * v = v\), where T is the transition matrix and v is the equilibrium vector.
Let's denote the equilibrium vector as (x, y, z). Setting up the equation, we have:
\(0.47x + 0.19y + 0.34z = x\\0.45x + 0.55y + 0z = y\\0x + 0y + 1z = z\)
Simplifying the equations, we get:
\(0.46x - 0.19y - 0.34z = 0\\-0.45x + 0.45y = 0\\0x + 0y + 1z = z\)
From the second equation, we can see that x = y. Substituting x = y in the first equation, we have:
\(0.46x - 0.19x - 0.34z = 0\\0.27x - 0.34z = 0\)
Simplifying further, we get:
\(0.27x = 0.34z\\x = (0.34/0.27)z\\x = 1.259z\)
Since the equilibrium vector must sum to 1, we have:
\(x + y + z = 1\\1.259z + 1.259z + z = 1\\3.518z = 1\\z - 0.284\)
Substituting the value of z back into x, we get:
\(x = 1.259 * 0.284=0.359\)
Therefore, the equilibrium vector is approximately (0.359, 0.359, 0.284).
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