A research group is on a college campus and is conducting a survey regarding the coffee consumption of college students in America. They randomly select three sample groups of 100 registered students to complete their survey, which asks the students to identify the average number of 8-ounce cups of coffee they consume each day. The results of the three sample groups are shown in the table below.
0 1 2 3 4+
Sample #1 38 19 26 16 1
Sample #2 32 14 37 15 2
Sample #3 41 22 31 6 0
Given the results of this survey, if there are 12,000 registered students, which of the following ranges is the best estimate for the number of registered students that do not drink coffee?
Answers
The answer of the given question based on the ranges is , the best estimate for the number of registered students that do not drink coffee is in the range of 4,500-5,000, which is option (b).
What is Average?Average, also known as mean, is a mathematical concept that represents the central value of a set of numbers. It is calculated by adding all the numbers in the set and dividing by the total number of numbers.
To estimate the number of registered students that do not drink coffee, we need to calculate the total number of students in the sample groups who consume zero cups of coffee, and then scale that up to the population of 12,000 registered students.
From the table, we can see that in Sample #1, 38 students consume zero cups of coffee, in Sample #2, 32 students consume zero cups of coffee, and in Sample #3, 41 students consume zero cups of coffee. Therefore, in total, 38 + 32 + 41 = 111 students out of 300 in the sample groups consume zero cups of coffee.
To estimate the number of registered students that do not drink coffee, we can use the proportion of students in the sample groups who consume zero cups of coffee as an estimate of the proportion of the population who consume zero cups of coffee. Therefore, we can estimate the number of registered students that do not drink coffee as follows:
Number of registered students that do not drink coffee = Proportion of population that consume zero cups of coffee × Total number of registered students
= (111/300) × 12,000
= 4,440
So, the best estimate for the number of registered students that do not drink coffee is in the range of 4,500-5,000, which is option (b).
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Related Questions
Is 100 milliseconds 1 second?
Answers
No, 100 milliseconds is not equivalent to 1 second. A millisecond (ms) is a unit of time equal to one-thousandth of a second, whereas a second (s) is a fundamental unit of time in the International System of Units (SI).
To convert milliseconds to seconds, you need to divide the number of milliseconds by 1000. This is because there are 1000 milliseconds in one second.
Therefore, to convert 100 milliseconds to seconds, you would use the formula:
100 ms / 1000 = 0.1 s
This means that 100 milliseconds is equal to 0.1 seconds.
It is important to accurately convert between units of time, especially in fields such as science, engineering, and computing where precise measurements and calculations are required.
Knowing the conversion factors between units of time and being able to perform these conversions quickly and accurately is essential for making precise measurements and calculations.
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function calc_sum() was copied and modified to form the new function calc_product(). which line of the new function contains an error? def calc_sum(a, b): s = a b return s def calc_product(a, b):
Answers
The error in the calc_product function can be found in Line 3. The variable S is being returned, but it is not defined within the calc_product function.
The intention appears to be calculating the product of a and b, which would require modifying Line 3 to:
return p
By returning p, the product of a and b, the function will correctly provide the desired result.
Therefore, the correct answer is option C: Line 1. The other lines do not contain errors: Line 2 assigns the sum of a and b to the variable p, and Line 3 should be modified to return p, not S, to calculate the product correctly.
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The complete question is:
suppose the variable x, the modified dental anxiety scale scores, is normally distributed with a mean score of 11 and standard deviation of 4. (a) what is the probability that the modified dental anxiety scale scores is higher than 13? (b) what is the probability that the modified dental anxiety scale scores is lower than 10? (c) what is the probability that the modified dental anxiety scale scores is between 15 and 20? (d) find the modified dental anxiety scale score so that only 1% will exceed (higher than). (e) find the modified dental anxiety scale scores so that only 20% will be lower than.
Answers
(a) The probability that the modified dental anxiety scale score is higher than 13 is approximately 0.3085. (b) The probability that the score is lower than 10 is approximately 0.4013. (c) The probability that the score is between 15 and 20 is approximately 0.1465. (d) A score of approximately 20.32 will have only 1% exceeding it. (e) A score of approximately 7.64 will have only 20% lower than it.
To solve the given problems, we can utilize the properties of the normal distribution and standardize the scores using z-scores.
(a) Probability that the score is higher than 13:
First, we calculate the z-score:
z = (13 - 11) / 4 = 0.5
Using a standard normal distribution table or a calculator, we find the probability associated with the z-score of 0.5, which is approximately 0.3085. Therefore, the probability that the score is higher than 13 is 0.3085.
(b) Probability that the score is lower than 10:
Similarly, we calculate the z-score:
z = (10 - 11) / 4 = -0.25
Using the standard normal distribution table or a calculator, we find the probability associated with the z-score of -0.25, which is approximately 0.4013. Therefore, the probability that the score is lower than 10 is 0.4013.
(c) Probability that the score is between 15 and 20:
We calculate the z-scores for both values:
z1 = (15 - 11) / 4 = 1
z2 = (20 - 11) / 4 = 2.25
Using the standard normal distribution table or a calculator, we find the probabilities associated with the z-scores of 1 and 2.25. The probability associated with z = 1 is approximately 0.8413, and the probability associated with z = 2.25 is approximately 0.9878. Therefore, the probability that the score is between 15 and 20 is 0.9878 - 0.8413 = 0.1465.
(d) Modified dental anxiety scale score for which only 1% will exceed (higher than)
We need to find the z-score that corresponds to the cumulative probability of 0.99 (1% will exceed). Using the standard normal distribution table or a calculator, we find the z-score associated with a cumulative probability of 0.99, which is approximately 2.33. We can then use the z-score formula to find the corresponding score:
x = (z * standard deviation) + mean
x = (2.33 * 4) + 11
x ≈ 20.32
Therefore, a modified dental anxiety scale score of approximately 20.32 will have only 1% exceeding (higher than) it.
e) Modified dental anxiety scale score for which only 20% will be lower than, We need to find the z-score that corresponds to the cumulative probability of 0.20 (20% will be lower than).
Using the standard normal distribution table or a calculator, we find the z-score associated with a cumulative probability of 0.20, which is approximately -0.84. We can then use the z-score formula to find the corresponding score:
x = (z * standard deviation) + mean
x = (-0.84 * 4) + 11
x ≈ 7.64
Therefore, a modified dental anxiety scale score of approximately 7.64 will have only 20% lower than it.
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Oscar chose A as the correct answer. How did he get that answer?
Answers
how am i supposed to know if you dont give the whole question.
Step-by-step explanation:
If a voter votes RIGHT in one election, the probability that the voter will vote LEFT in the next election is 0.2. If a voter votes LEFT in one election, the probability that the voter will vote RIGHT in the next election is 0.1. Assume that these are the only two parties available to vote for. 1. What is the Markov assumption? 2. Draw the transition diagram to this problem. 3. Write down the transition matrix. 4. If 55% of the electorate votes RIGHT one year, find the percentage of voters who vote RIGHT the next year. What would be the voter percentages in 10 years' time? Interpret your result. (2+2+3 marks) 5. Will there ever be a steady state where the party percentages don't waiver? Interpret your result. (3+3 marks)
Answers
After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.
The Markov assumption in this context is that the probability of a voter's next vote depends only on their current vote and not on their past voting history. In other words, the Markov assumption states that the future behavior of a voter is independent of their past behavior, given their current state.
Transition diagram:
LEFT RIGHT
|--------->--------|
LEFT | 0.8 0.2 |
| |
RIGHT| 0.1 0.9 |
|--------->--------|
The diagram represents the two possible states: LEFT and RIGHT. The arrows indicate the transition probabilities between the states. For example, if a voter is currently in the LEFT state, there is a 0.8 probability of transitioning to the LEFT state again and a 0.2 probability of transitioning to the RIGHT state.
Transition matrix:
| LEFT | RIGHT |
---------------------------
LEFT | 0.8 | 0.2 |
---------------------------
RIGHT | 0.1 | 0.9 |
---------------------------
The transition matrix represents the transition probabilities between the states. Each element of the matrix represents the probability of transitioning from the row state to the column state.
If 55% of the electorate votes RIGHT one year, we can use the transition matrix to find the percentage of voters who vote RIGHT the next year.
Let's assume an initial distribution of [0.45, 0.55] for LEFT and RIGHT respectively (based on 55% voting RIGHT and 45% voting LEFT).
To find the percentage of voters who vote RIGHT the next year, we multiply the initial distribution by the transition matrix:
[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1] = [0.62, 0.38]
Therefore, the percentage of voters who vote RIGHT the next year would be approximately 38%.
To find the voter percentages in 10 years' time, we can repeatedly multiply the transition matrix by itself:
[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1]^10 ≈ [0.503, 0.497]
After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.
Interpretation: The results suggest that over time, the voter percentages will tend to approach an equilibrium point where the percentages stabilize. In this case, the percentages stabilize around 50% for both LEFT and RIGHT parties.
No, there will not be a steady state where the party percentages don't waiver. This is because the transition probabilities in the transition matrix are not symmetric. The probabilities of transitioning between the parties are different depending on the current state. This indicates that there is an inherent bias or preference in the voting behavior that prevents a steady state from being reached.
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How can you express 5 1/3 + -7 2/3 as the sum of its integer and fractional parts
Answers
The sum of its integer and fractional parts is 5 + (-7) + 1/3 + 2/3. Option D
What are fractions?Fractions are defined as part of a whole.
The types of fractions include:
Mixed fractionsProper fractionsImproper fractionsSimple fractionsComplex fractionsGiven the expression;
5 1/3 + -7 2/3
The integers are:
5 and -7
The fractions are;
1/3 and 2/3
The sum of the integers and fractional parts are;
5 + (-7) + 1/3 + 2/3
Thus, the sum of its integer and fractional parts is 5 + (-7) + 1/3 + 2/3. Option D
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A small auditorium has chairs arranged with 12 chairs in the front row, 14 chairs in the middle row, and 16 chairs in the back row. guests randomly choose a chair as they walk in. what is the probability that the first guest will take a chair in the front row?
Answers
The probability that the first guest will take a chair in the front row of the small auditorium is 2/7 or approximately 0.2857.
To find the probability that the first guest will take a chair in the front row, we need to determine the total number of chairs and the number of chairs in the front row.
Given that there are 12 chairs in the front row, 14 chairs in the middle row, and 16 chairs in the back row, the total number of chairs in the auditorium is:
Total chairs = 12 + 14 + 16 = 42
Now, since the first guest can choose any chair, and there are a total of 42 chairs, the probability of the first guest taking a chair in the front row is:
Probability = Number of favorable outcomes / Total number of outcomes
The number of favorable outcomes is the number of chairs in the front row, which is 12. The total number of outcomes is the total number of chairs in the auditorium, which is 42.
Probability = 12 / 42
Simplifying the fraction, we have:
Probability = 2 / 7
Therefore, the probability that the first guest will take a chair in the front row is 2/7 or approximately 0.2857.
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Can somebody please help me ?
Answers
SSA
Step-by-step explanation:
put name of triangle abc are same
Can someone help me with this?
Answers
Answer:
C
Step-by-step explanation:
It is not E becuase SQRT(97) is less than SQRT(100), SQRT(100) is 10,
SQRT(81) is 9 SO SQRT(97) is between 9 and 10, C.
Hope it helps :)
the square root below is between the integers of 9 and 10
Step-by-step explanation:
9×9 is equal to 81
10*10=100
Please help me solve this someone I’m really struggling
Answers
Step-by-step explanation:
y= x^2+5x-7
the vertex is -2.5 , -13.25
solutions ( -6.14 , 0) and (1.14 , 0 )
..........
y= -x^2+3x+8
vertex(1.5 ,10.25)
solutions ( -1.7 , 0) and (4.7 ,0 )
A pair of jeans at a local retail store has a cost of $32.00. If the sales tax is 5.3%, what is the total amount paid for the jeans?
Answers
The total amount that a customer will pay for the jeans is $33.696.
How to calculate the value?From the information given, pair of jeans at a local retail store has a cost of $32.00. If the sales tax is 5.3%,
The value of the sales tax will be:
= Sales percentage × Amount
= 5.3% × $32
= $1.696
The total amount paid will be:
= Cost + Tax
= $32 + $1.696
= $33.696
The amount is $33.696.
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What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?
1. The distributive property: 4x – 12 + 4 < 10 + 6x
2. Combine like terms: 4x – 8 < 10 + 6x
3. The addition property of inequality: 4x < 18 + 6x
4. The subtraction property of inequality: –2x < 18
5. The division property of inequality: ________
x < –9
x > –9
x < x is less than or equal to negative StartFraction 1 Over 9 EndFraction.
x > –x is greater than or equal to negative StartFraction 1 Over 9 EndFraction.
Answers
The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality: x > -9
How to find the missing stepThe missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality.
After step 4, which is -2x < 18, we need to divide both sides of the inequality by -2 to solve for x.
However, since we are dividing by a negative number, the direction of the inequality sign needs to be reversed.
Dividing both sides by -2:
-2x / -2 > 18 / -2
This simplifies to:
x > -9
Therefore, the correct answer is x > -9.
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Mabel's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 35 sodas in all, 28 of which were regular. What percentage of the sodas were regular?
Answers
Assuming last night, the diner served 35 sodas in all, 28 of which were regular. The percentage of the sodas that were regular is: 55.6%.
How to find the percentage of regular soda?First step is to find the total
Total = Number of sodas + Regular
Let plug in the formula
Total = 35 + 28
Total = 63
Now let find the percentage of sodas that are regular
Percentage = Number of sodas / Total
Let plug in the formula
Percentage = 35/63 × 100
Percentage = 55.55%
Percentage = 55.6% (Approximately)
Therefore the percentage is 55.6%.
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You reverse the inequality symbol when you multiply or divide both sides of an inequality by the same negative number.
True or false?
Answers
Step-by-step explanation:
The statement is true, because when we multiply or divide both sides of an inequality by the same negative number we reverse the inequality symbol.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Let an example of the inequality as;
⇒ 2x < 3
Multiply by - 1, we get;
⇒ - 2x > - 3
Thus, When we multiply or divide both sides of an inequality by the same negative number we reverse the inequality symbol.
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mention about angles of a triangle
Answers
Suppose that the revenue generated by selling x units of a certain commodity is given by R = -1/5x^2 + 200x. Assume that R is in dollars. What is the maximum revenue possible in this situation?
Answers
Answer
50,000
Step by step
y=ax^2+bx+c
use formula x=-b/2a to find maximum/ minumum point with quadratic formulas
x=-200/-1/5(-0.2)
x=500
plug in 500 for x
-1/5(500)^2+200(500)
-50000+1000000
500000
The sum of three consecutive even integers is less than 400.
Answers
Answer:
See below
Step-by-step explanation:
Let the even integers be:
2n, 2n + 2 and 2n + 4Then we have inequality:
2n + 2n + 2 + 2n + 4 < 4006n + 6 < 4006n < 394n < 394/6n < 65The numbers are therefore less than 130, 132, 134
Someone please help me to solve this (8.99 x 10^9) (3 x 10^-5) (-6 x 10^-5)
Answers
(8.99 x 10^9)(3 x 10^-5)(-6 x 10^-5)
(8.99 x 3)(10^9 x 10^-5)(-6 x 10^-5)
26.97 x 10^9-5(-6 x 10^-5)
26.97 x 10^4(-6 x 10^-5)
2.697 x 10^5(-6 x 10^-5)
-16.182
What is the equation of the line that passes through the point (-5,-7) and has a slope of 2/5
Answers
Answer:
y = 2/5x - 5
Step-by-step explanation:
Use the slope-intercept form y = mx + b to substitute slope(m) = 2/5 and the point (-5, -7) and solve for b
y = mx + b
-7 = 2/5(-5) + b
-7 = -2 + b
-5 = b
The equation is y = mx + b; y = 2/5x - 5
The histogram shows the depth a diver has been to, in meters. Estimate the mean of the data set displayed in the histogram.
Answers
Step-by-step explanation:
the numbers: 5, 7, 7, 1
the number of numbers:4
mean: the numbers all added then divided by the number of numbers
5+7+7+1=20
20÷4 is 5 so the mean of the date is 5=
the average is 5
What is the value of x in the solution to this system of equations?
y+2x=-1
Y=2x-19
Answers
Answer:
My teacher told be that x will mean 6 and she also said anyletter will equel 6 in an eqaution HOPE THIS HELPS :D
Step-by-step explanation:
Write the function below in the form P= P0a^t. Is this exponential growth or exponential decay?
P=6e^-1.7t
Round the base of the exponential function, a , to four decimal places.
P=______
Answers
This is an example of exponential decay. The value of P is P=6e-1.7045t.
Exponential growth and decay apply to physical quantities which change in value or form in a rapid manner. The change can be measured using the concept of exponential growth and exponential decay, and the new obtained quantity can be obtained from the existing quantity.
Exponential growth finds applications in studying bacterial growth, population increase, money growth schemes. Exponential decay refers to a rapid decrease in a quantity over a period of time. The exponential decay can be used to find food decay, half-life, radioactive decay. The formulas of exponential growth and decay are as presented below.
Exponential growth uses a factor 'r' which is the rate of growth. Here the r-value lies between 0 and 1 (0 < r < 1). The term (1 + r) can be taken as the growth factor. And 't' is the time steps which is the number of times the growth factor is to be multiplied. The value of 't' can be a whole number or a decimal number. For exponential decay, the growth factor is (1 - r), which has a value lesser than 1.
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i'm too tired for this
Answers
Someone plz help me
Answers
Answer:
8.5 i think
Step-by-step explanation:
Answer:
the answer would be 8.5 inches
Step-by-step explanation:
its 8and a half not 0.85 so its placed wrong
PLEASEEEE SOMEONE HELP I GIVE AS MUCH POINTS :’( Thank you!
Answers
The approximate area of the trapezoid is determined as 13.95 unit².
What is the approximate area of the trapezoid?The approximate area of the trapezoid is calculated as follows;
Area = ¹/₂(b₁ + b₂)h
Where;
b₁ and b₂ are the lengths of the parallel sidesh is the heightThe y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;
y(3/2) = - (3/2)²/2 + 3/2 + 5
y(3/2) = -9/8 + 3/2 + 5
y(3/2) = 5.375
y(4) = -4²/2 + 4 + 5
y(4) = -8 + 9
y(4) = 1
h = 5.375 - 1 = 4.375
The approximate area of the trapezoid is calculated as;
Area = ¹/₂(5.375 + 1) x 4.375
Area = 13.95 unit²
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Easy math triangle question , please help picture attached
Answers
Answer:
x = \(\sqrt{120}\) ≈ 10.95
Step-by-step explanation:
Use Pythagorean Theorem a²+b²=c²
6²-4²=a²
36-16=a²
a²=20
a=\(\sqrt{20}\)
\(\sqrt{20\)²+10²=c²
20+100=c²
c²=120
c= \(\sqrt{120}\) ≈ 10.95
I need help on this one. it says solve for w. and it says w-8=32. will someone help plz thx.
Answers
Answer:
w= -4
Step-by-step explanation:
First we know 8 x 4 is 32 so then we make the 8 negative
and divide -8 by 32 which is -4
You can check it by doing -4 x -8 which is 32!
Remember-
1. When you multiply two negatives it equals a positive.
2. You can check by plugging -4 where w is then solving.
3. If there is a subtraction next to a number (w-8) then whichever number the subtraction sign is in front of is negative.
4. If a variable is next to a number it means to multiply the variable by the number.
OMG please answer this question for me or else parents will kick me out of the house
Answers
the input value in the x column is multiplied by 5 to get the output value in the y column
Answer: what sup it the girl from math class i found ya lol
Step-by-step explanation:
find the value of x plz
Answers
As you look closely at the diagram the angle outside the angle and x are exterior angles and exterior angles are equal
the range of feasible values for the multiple coefficient of correlation is from ________.
Answers
The range of feasible values for the multiple coefficients of correlation is from -1 to 1.
The multiple coefficients of correlation, also known as the multiple R or R-squared, measures the strength and direction of the linear relationship between a dependent variable and multiple independent variables in a regression model. It quantifies the proportion of the variance in the dependent variable that is explained by the independent variables.
The multiple coefficients of correlation can take values between -1 and 1.
A value of 1 indicates a perfect positive linear relationship, meaning that all the data points fall exactly on a straight line with a positive slope.
A value of -1 indicates a perfect negative linear relationship, meaning that all the data points fall exactly on a straight line with a negative slope.
A value of 0 indicates no linear relationship between the variables.
Values between -1 and 1 indicate varying degrees of linear relationship, with values closer to -1 or 1 indicating a stronger relationship. The sign of the multiple coefficients of correlation indicates the direction of the relationship (positive or negative), while the absolute value represents the strength.
The range from -1 to 1 ensures that the multiple coefficients of correlation remain bounded and interpretable as a measure of linear relationship strength.
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