Jane wants to estimate the proportion of students on her campus who eat cauliflower. After surveying 35 students, she finds 4 who eat cauliflower. Obtain and interpret a 99% confidence interval for the proportion of students who eat cauliflower on Jane's campus using Agresti and Coull's method. Click the icon to view Agresti and Coull's method. Construct and interpret the 99% confidence interval. Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.) A. There is a 99% chance that the proportion of students who eat cauliflower on Jane's campus is between Jane's and OB. One is 99% confident that the proportion of students who eat cauliflower on Jane's campus is between OC. There is a 99% chance that the proportion of students who eat cauliflower in Jane's sample is between OD. The proportion of students who eat cauliflower on Jane's campus is between and 99% of the time. and and
Answers
Based on the information, A. There is a 99% chance that the proportion of students who eat cauliflower on Jane's campus is between 5.03% and 17.83%.
How to calculate the valueCalculate the sample proportion:
= x / n = 4 / 35
= 0.1143
Calculate the Agresti and Coull's adjustment factor:
zα/2 = z(1 - α/2) = z(1 - 0.99/2)
= 2.576
Calculate the margin of error:
= 2.576 √(0.1143(1 - 0.1143) / 35)
= 0.064
Calculate the confidence interval:
= 0.1143 ± 0.064
= (0.0503, 0.1783)
We are 99% confident that the true proportion of students who eat cauliflower on Jane's campus is between 5.03% and 17.83%.
In other words, if we were to repeat this study many times, we would expect to obtain a confidence interval that includes the true proportion of students who eat cauliflower on Jane's campus 99% of the time.
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Related Questions
3x- 2y= 8 solve for y
Answers
3(0)-2y=8
-2y/-2=8/-2
Y= -4
Answer : y=-4
Solving for y gives y = (3x - 8)/2.
What is a linear equation in two variable ?A linear equation in two variable has highest degree of 1 and the equation contains two variables,Generally in x and y or could be any two alphabets.
According to the given question we have to solve for y or find the value of y.
3x - 2y = 8.
3x = 8 + 2y.
2y = 3x - 8.
y = (3x - 8)/2.
This can also be solved in a different way.
3x - 2y = 8.
-2y = 8 - 3x.
-y = (8 - 3x)/2.
y = -(8 - 3x)/2.
y = (-8 + 3x)/2.
y = (3x - 8)/2.
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Raja grows trees. He plants 8 maple trees and 15 birch trees. • Each of his maple trees is 4 feet tall when planted and will grow 4 feet during the first year, and half as many feet each subsequent year as the previous year. • Each of his birch trees is 10 feet tall and will grow 3 feet during the first year and 3 feet every year thereafter. How many total feet of tree height does Raja have at the end of 5 years?
Answers
The total feet of tree height at the end of the five years is 699 feet.
What is the total feet?The total feet of tree height at the end of the five years is the sum of the height of the maple trees and the height of the birch trees.
Height of one maple tee at the end of the first year = initial height + growth in the first year
4 feet + 4 feet = 8 feet
Height of one maple tee at the end of the second year = 1.5 x 8 = 12
Height of one maple tee at the end of the third year = 1.5 x 12 = 18
Height of one maple tee at the end of the fourth year = 1.5 x 18 = 27
Height of one maple tee at the end of the fifth year = 1.5 x 27 40.50
Height of 8 maple trees = 40.50 feet x 8 = 324 feet
Height of one birch tree = initial height + (rate of growth x number of years)
10 feet + (3 x 5)
10 + 15 = 25 feet
Height of 15 birch tree = 25 feet x 15 = 375 feet
Total height = 375 feet + 324 feet = 699 feet
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A dot plot displays data ______
using a small dot for each data piece.
A : Vertically
B: Graphically
C: Proportionally
Answers
Pls help me i am being timed
Answers
Answer:
6 pieces can be cut from the string.
If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard deviation. Otherwise, use the values Σx = 2769 and Σx2 = 132,179 to compute the sample mean and sample standard deviation. (Round s to four decimal places.)
Answers
By using a statistical calculator, the actual sample mean and sample standard deviation are:
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
How to calculate the sample mean for the set of data?In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:
Mean = ∑x/(n - 1)
∑x represents the sum of all data values.(n - 1) represents the number of data contained in a sample.In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:
Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)
x represents the observed values of a sample.\(\bar{x}\) is the mean value of the observations.N represents the total number of of observations.By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Write the first five terms of the sequence defined by the explicit formula an=-4n(n-1)
Answers
The explicit formula of the sequence is given by a_n = -4n(n-1).
We have to find the first five terms of the sequence.
The first term:
\(\begin{gathered} a_1=-4\times(1)(1-1) \\ =-4(0) \\ =0 \end{gathered}\)The second term:
\(\begin{gathered} a_2=-4(2)(2-1) \\ =-8(1) \\ =-8 \end{gathered}\)The third sum:
\(\begin{gathered} a_3=-4(3)(3-1) \\ =-12(2) \\ =-24 \end{gathered}\)The fourth term:
\(\begin{gathered} a_4=-4(4)(4-1) \\ =-16(3) \\ =-48 \end{gathered}\)The fifth term:
\(\begin{gathered} a_5=-4(5)(5-1) \\ =-20(4) \\ =-80 \end{gathered}\)Thus, option D is correct.
Based on the median of the samples, what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number.
PLEASE ANSWER!!!
Answers
The number of students that bike to school is 18
How to determine the valueThe median is described as the middle number of a set of data when the values are arranged in an ascending order from the least to the greatest.
We should also know that the median is one of the measures of central tendency.
From the information given, we have that the data set representing the number of students is;
10, 11, 12 , 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25
Then, we have that the median number is;
Median = 17 + 18/2
add the values
Median = 35/2
Divide the values
Median = 18 students
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samuel earns 3$ an hour less than jack. in 6 hours samuel earns 72$. which equation can be used to find x, the amount, in dollars, jack earns in an hour
Answers
Answer:
(x - 3) * 6 = 72
jack earns $ 15 an hour and samuel $12 an hour
Step-by-step explanation:
we know that samuel earns 3 dollars less than jack, let's say that "x" is what jack earns, in addition to this we know that samuel earns a total of 72 dollars in 6 hours, therefore we have to:
(x - 3) * 6 = 72
this would be the equation to determine x, we solve it:
6 * x - 18 = 72
6 * x = 72 + 18
x = 90/6
x = 15
which means that jack earns $ 15 an hour and samuel $12 an hour
Use a system of linear equations with two variables and two equations to solve. A number is 9 more than another number. Twice
the sum of the two numbers is 30. Find the two numbers. Let the two numbers be represented by x and y. Let y represent the
larger number. Write your answer as an ordered pair (x, y).
Answers
9514 1404 393
Answer:
(x, y) = (3, 12)
Step-by-step explanation:
Using the given variable definitions, we can write the equations ...
y = x + 9
2(x +y) = 30
__
Solving the second equation for y, we have ...
y = 15 -x
Substituting this into the first equation gives ...
15 -x = x +9
6 = 2x . . . . . . . . . add x-9
3 = x . . . . . . . . . . divide by 2
y = 3+9 = 12 . . . . substitute into the first equation
The numbers are (x, y) = (3, 12).
what is 5y² if y= -1
Answers
Answer:
5
Step-by-step explanation:
Input all of the numbers and solve:
5×-1×-1
Start by solving -1*-1=1
5*1=5
Answer:
the answer for this question is 5
r = -7 and s = 7
answer
s - 5[r] =
Answers
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The value of the equation s - 5(r) at r = -7 and s = 7 is 42.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 3 is an equation.
we have,
s - 5(r) ______(1)
r = -7 and s = 7
Substituting r = -7 and s = 7 in (1) we get,
= s - 5(r)
= 7 - 5 x (-7)
= 7 + 35
= 42
Thus,
The value of the equation s - 5(r) at r = -7 and s = 7 is 42.
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A, B, C y D son puntos Co lineales tal que BC es el doble de
CD y B es punto medio de AD. calcular CD SI AD = 18 m.
Answers
Answer:
CD =3m
Step-by-step explanation:
AB=BD
BC=2CD --> CD=1/3 BD
--> AD= 6CD
If 3 out of 24 students made an "A" what percent of students
made an "A"?
Answers
PLEASE NEED HELP URGENTLY!
Raul tried to find the midpoint between 5 & 3i and 12 + 7i. Check his work below.
Sum=(5+(-3))+(12+7)i
=2+19i
so the midpoint is 1+ 19over2 i
What mistake did Raul make?
AHe subtracted the values instead of adding them.
BHe did not add the corresponding parts of the complex numbers.
CHe found the sum instead of the average because he forgot to divide by two.
DHe added the numbers in the wrong order.
Answers
Answer:
B.He did not add the corresponding parts of the complex numbers.
Step-by-step explanation:
A mid point is a point that is of equal distance to two reference points.
Given: Find the midpoint of 5+(-3)i and 12+7i.
These expressions have two parts: the value and complex number parts.
Thus the addition ought to have been;
(5+(-3i)) + (12+7i) = (5 - 3i) + (12 + 7i)
= (5 + 12) + (-3i + 7i)
= 17 + 4i
The midpoint can be determined as:
\(\frac{(17 +4i)}{2}\)
Thus it can be observed that Raul did not add the corresponding parts of the complex numbers.
Answer:
bbbbbbbbb
Step-by-step explanation:
A ball is thrown from a height of 2 feet with an initial upward velocity of 30
Answers
Given the function:
\(h(t)=2+30t-16t^2\)If the ball's height is 15 feet:
\(\begin{gathered} h(t)=15 \\ \\ \Rightarrow2+30t-16t^2=15 \end{gathered}\)Solving the quadratic equation for t:
\(\)Finally, to the nearest hundredth:
\(\)P(A)=.60, P(B)=.30, and P(A and B)=.10. What is P9A or B)?
Answers
The probability of events A or B occurring is 0.80 or 80%.
Probability is a measure of the likelihood of an event occurring. It is a numerical value between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain.
Probability can be calculated by dividing the number of favourable outcomes by the total number of possible outcomes.
To find P(A or B), we need to use the formula:
P(A or B) = P(A) + P(B) - P(A and B)
Substituting the given values, we get:
P(A or B) = 0.60 + 0.30 - 0.10
= 0.80
Therefore, the probability of events A or B occurring is 0.80 or 80%.
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help me pleaseeeeee
Answers
Answer:
c
Step-by-step explanation:
The cost of an amusement park ticket has been increasing by the same percentage since 2000.
a. The equation c(t)=80(1.03)^t represents the cost of a ticket in dollars as a function of tea the number of years since 2000 explain what the 80 and 1.03 tells us about the situation
b. what is the percent increase in to get prize from year to year?
what does c(5) mean in the situation? find its value and show your reasoning
Answers
b. c(5) means what the cost of the ticket in 2005 is, it’s value is 92.74 because 80(1.03)^5 is 92.74
Find the inequality represented by the graph in the picture below
Answers
Answer:
\(y \geq2x - 5\)
Step-by-step explanation:
First off, we can tell that the line has a positive slope because it's going upwards to the right. To find the slope of the line exactly, we will start at the first given point and count the units until we get to the next point.
(Remember that slope is written as rise/run.)
So the slope is 2/1 or just 2.
Next, we can tell that the y-intercept is -5, because that's where the line crosses the y-axis.
Additionally, since the line is solid, the inequality sign will either be the "greater than or equal to" sign, or the "lesser than or equal to" sign. In order to tell which one to use, we will look at the shaded area. Since the shaded area is above the line, y will be "greater than or equal to" the line.
So to put it together: The line written in slope-intercept form, is
\(y \geq2x - 5\)
Hope this helps you :)
Find the perimeter of abc with vertices (1,-6) (1,-3) (-4,-6)
Answers
Answer:
8+√34
Step-by-step explanation:
use distance formula d =√(x2-x1)² +(y2-y1)² to find the sides
√ (1 -1)²+( -6+3)² = √9 = 3
√ (1+4)²+( -6+6)² = √25 =5
√ (1+4)² + (-3+6)² = √25+9 =√34
Perimeter is P = 3+5+√34 = 8+√34
For question 20, use the following quadratic function: f(x)=x² - 4x + 4.
A. Find the y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex.
y-intercept:
axis of symmetry:
x-coordinate of the vertex.:
B. Make a table of values that includes the vertex.
C. Use this information to graph the function.
Answers
The vertex of the function y = x² - 2x - 24 is at (1, -25) and the x intercept is at x = -4, and x = 6
We have,
An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
f(x) = -(x + 4)(x - 1)
The vertex of the function f(x) = -(x + 4)(x - 1) is at (-1.5, 6.25),
the x intercept is at x = -4, and x = 1,
the y intercept is at y = 4 and the axis of symmetry is at x = -1.5
Hence, The vertex of the function y = x² - 2x - 24 is at (1, -25) and the x intercept is at x = -4, and x = 6
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complete question:
Consider the quadratic function.
f (x) = -(x+4)(x-1)
(a) What are the x-intercepts and y-intercept?
(b) What is the equation of the axis of symmetry?
(c) What are the coordinates of the vertex?
(d) Graph the function on the coordinate plane. Include the axis of symmetry.
8 5/12 divided by 1 3/4
Answers
^fractions lesson^
8 5/12 : 1 3/4
step 1:
(8 × 12 + 5)/12
=101/12
step 2:
(1 × 4 + 3)/4
=7/4
ok, enter:
101/12 : 7/4
=101/12 × 4/7
=404/84
=4 68/84
=4 17/21
Solve for t: a=p+prt
Answers
Answer:
I have attached the answer.
Step-by-step explanation:
Given the function f(x)=4(2)2, Section A is from x=1 to x=2 and section B is from x=3 to x=4. Part A: find the average rate of change of each section. Part B: How many times greater is the average rate of change of section B than section A? Explain why one rate of change is greater than the other.
Answers
Answer:
I found thois from someone else asking this queetion so gope it helps.
Step-by-step explanation:
I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x
f(b) - f(a)
The formula for "average rate of change" is a.r.c. = --------------
b - a
change in function value
This is equivalent to ---------------------------------------
change in x value
For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:
8
------ = 8 units (Section A)
1
Section B: x changes from 3 to 4, a net change of 1 unit: f(x) changes from
4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is
224 units
----------------- = 224 units (Section B)
1 unit
The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.
This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").
Two different weight loss programs are being compared to determine their effectiveness. Ten men were assigned to each program (that is, a total of 20 men altogether). Their weight losses (in lbs), after a period of time, are recorded below. We are interested in determining which, if any, of the diets is more effective in terms of average weight loss. Assume weight loss for each diet to be normally distributed.
Diet 1 3.4 10.9 2.8 7.8 0.9 5.2 2.5 10.5 7.1 7.5
Diet 2 11.9 13.1 11.6 6.8 6.8 8.8 12.5 8.6 17.5 10.3
Carry out an appropriate test using a significance level of 0.10.
Answers
Answer:
WE reject the Null and conclude that one of the drug is more effective than the other.
Step-by-step explanation:
Given :
Diet 1 3.4 10.9 2.8 7.8 0.9 5.2 2.5 10.5 7.1 7.5
Diet 2 11.9 13.1 11.6 6.8 6.8 8.8 12.5 8.6 17.5 10.3
This is a matched pair sample :
The hypothesis :
H0 : μd = 0
H1 : μd ≠ 0
Hence, we intun the difference between the two groups of value :
Difference, d = -8.9,-2.2,-8.8,1,-5.9,-3.6,-10,1.9,-10.4,-2.8
The test statistic :
dbar ÷ (Sd/√n)
dbar = mean of difference = Σd / n = - 49.7 / 10 = - 4.97
Standard deviation of difference, Sd = 4.51
Test statistic :
-4.97 ÷ (4.51/√10)
Test statistic = - 3.485
The sample size, n = 10
df = n - 1 ; 10 - 1 = 9
Critical value (0.10, 9) = 1.833
If Test statistic > |Critical value |
Since 3.486 > 1.833 ; WE reject the Null and conclude that one of the drug is more effective than the other
Find the slope of a line that passes through the following points
(-4,3) , (-3,-1)
A. 4/1
B. 1/4
C. -1/4
D. -4,1
Answers
Answer:
-4/1
Step-by-step explanation:
slope = rise/run= -4/1= -4
if my answer helps please mark as brainliest.
If f(x) = sin(ln(2x)), then f’(x)=
Answers
Answer:
B. cos(ln(2x))/x
Step-by-step explanation:
We know that the inverse of sin is cosine. Note, arcsin means the same thing as inverse sin:
sin(ln(2x))Because sin (a) = sin (b) --> a = arcsin (b)
Therefore: ln(2x) = arcsin(y)Solve ln(2x)=arcsin(y) for x(e^arcsin(y))/2Subsitute y = x
(e^arcsin(x))/2Therefore, we get the answer as cos(ln(2x))/xTwo trains leave stations 396 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels
at 100 miles per hour. How long will it take for the two trains to meet?
Answers
Answer:
It will take 2.2 hours for the trains to meet.
Step-by-step explanation:
Given,
Distance between two trains = 396 miles
Speed of one train = 95 mph
Speed of other train = 85 mph
Combined speed of trains = 95+85 = 180 mph
Distance = Speed * Time
Time =
Time =
Time = 2.2 hours
It will take 2.2 hours for the trains to meet.
Keywords: speed, distance
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Step-by-step explanation:
help PLSS brainliest I’ll give
Answers
The equations x² + 4x + 3 = 0 and x² -6x + 13 = 0 are equivalent to (x + 2)² = 1 and (x - 3)² = -4
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on
The standard equation of a quadratic function is:
y = ax² + bx + c
1) Given that:
x² + 4x + 3 = 0
subtract 3 from both sides:
x² + 4x = -3
add to both sides the square of half the coefficient of x:
x² + 4x + 4 = -3 + 4
(x + 2)² = 1
2) Given that:
x² - 6x + 13 = 0
subtract 13 from both sides:
x² - 6x = -13
add to both sides the square of half the coefficient of x:
x² - 6x + 9 = -13 + 9
(x - 3)² = -4
The equations are (x + 2)² = 1 and (x - 3)² = -4
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a sprinter ran a race in 11 seconds. What is the domain of this graph?
Answers
Domain is defined as the all possible values of the variable x for which the function is defined.
Now, for the given graph the x-axis represents the time in seconds.
So, we need to find all the possible values of time for which the distance is covered or for which the function is defined.
Given that : The sprinter ran a race in 11 seconds.
And the initial time is 0 seconds
So, The value of t lies between 0 to 11
Thus, Domain : All real numbers 0 to 11