Answer:
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.
This means that [tex]n = 2161, \pi = \frac{1214}{2161} = 0.5618[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Margin of error:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}[/tex]
[tex]M = 0.0209[/tex]
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
pls help it’s a multiple answer choice
Answer:
E and A
Step-by-step explanation:
Can someone help me please
A teacher has a box of 88 colored pencils. He gave 46 away. The teacher put the rest of the colored pencils into 7 equal groups
How many colored pencils are in each group?
Answer:
6 pencils in each group
Step-by-step explanation:
Total = 88
Gave away = 46
Balance = 88 - 46 = 42
Divided into 7 groups, means : 42/7 = 6
So each group has 6 pencils
PLZ HELP Which of the following is a true statement?
A. Total Liabilities − Total Assets = Net Worth
B. Total Assets − Total Liabilities = Net Worth
C. Total Assets + Total Liabilities = Net Worth
D. None of these are true.
Answer:
B
Step-by-step explanation: Net worth is the total assets minus total liabilities of an individual or entity.
1800=3×N
help asap plzzz
An angle measures 114° more than the measure of its supplementary angle. What is the measure of each angle
Answer:
33º and 147º
Step-by-step explanation:
x + (x + 114) = 180
2x + 114 = 180
2x = 66
x = 33º
x + 114 = 147º
factorise 4a-6ab-18ac
Answer:
Step-by-step explanation:
4a-6ab-18ac
=2a(2-3b-9c)
The required factorisation of the given equation is 4a-6ab-18ac = 2a(2 - 3b - 9c).
What is factorisation?In mathematics, factorisation or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
The given equation is,
4a-6ab-18ac
So factorising each term we have,
4a = 2*2*a
6ab = 2*3*a*b
18ac = 2*3*3*a*c
Thus the equation becomes,
4a-6ab-18ac = 2*2*a - 2*3*a*b - 2*3*3*a*c
taking 2*a common we get,
4a-6ab-18ac = 2a(2 - 3b - 3*3*c)
or, 4a-6ab-18ac = 2a(2 - 3b - 9c)
which is the the required factorisation of the equation.
Thus, the required factorisation of the given equation is 4a-6ab-18ac = 2a(2 - 3b - 9c).
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PLS help
Which of the following statements are true about the solids shown above
Answer:
kkkkkk
Step-by-step explanation:
What combination of transformations is shown below?
Answer:
translation then rotation
Students were asked whether they walk, drive, or ride the bus to school. The results. by gender, are shown in the table.
Walk Drive Ride Bus
Male 30 60 10
Female 20 50 30
Select all the statements that illustrate conditional probability?
A. of all students, the probability of choosing a male.
B. Of the students who walk, the probability of choosing a female.
OC. of all students, the probability of choosing a male who walks.
D. Of the females. the probability of choosing one who rides the bus.
E. Of all students, the probability of choosing a student who drives.
Answer:
B. Of the students who walk, the probability of choosing a female.
D. Of the females, the probability of choosing one who rides the bus.
Step-by-step explanation:
Conditional probability is the chance of something happening provided that something else has previously occured (think dependent events).
For example, the probability of getting into college P(college) is Event A.
The probability of receiving dormitory housing P(housing) is Event B.
First, the person must get into college before they are even able to receive dormitory housing. Therefore, this is a situation of conditional probability. The "condition" of being accepted into the college (Event A) is necessary before the individual can attempt Event B, housing.
The key word in the question is "Of all the students." This means that from the first instance, you are only calculating one probability.
However, in B, it first singles out "all the students who walk."
Therefore p(walk) must be met before p(gender) can happen.
Same with D, it singles out "of the females."
Therefore p(gender) must be met before p(transportation) can happen.
C does have two categories, but since it is still out of the general draw pool "of all students," it is not conditional. No condition needs to be met first to choose a male who walks out of ALL students.
Researchers from a large community college in California are interested in understanding the demographics of students enrolled in their online classes. The researchers collected the following data for the 2014/2015 school year.
Male Female Total
Online Only 2,000 7,000 9,000
Online and in the class only 8,000 1,000 9,000
Total 10,000 8,000 18,000
What does the data suggest about the relationship between sex and enrollment?
a. Females are more likely to enroll in Online Only courses than males.
b. Females are more likely to enroll in Online and In Class courses than males
c. There are more females enrolled at the community college than males.
d. Females are equally likely as males to enroll in an Online Only course.
Answer:
a. Females are more likely to enroll in Online Only courses than males.
Step-by-step explanation:
From the data, we have that:
There are 9,000 students that are online only, of which 2,000 are male and 7,000 are female.
There are 9,000 students that are Online and in the class only, of which 8,000 are male and 1,000 are female.
In total, there are 18,000 students, of which 10,000 are male and 8,000 are female.
a. Females are more likely to enroll in Online Only courses than males.
True, 7,000 females compared to 2,000 males in online only courses. This option is the answer to this question.
b. Females are more likely to enroll in Online and In Class courses than males
False, in online and in the class courses, there are 8,000 males and 1,000 females, so females are less likely.
c. There are more females enrolled at the community college than males.
False, there are 10,000 males and 8,000 females.
d. Females are equally likely as males to enroll in an Online Only course.
False, there are 7,000 females compared to 2,000 males in online only courses, so they are more likely, and not equally likely.
Liza, Cecilia,and Dylan are playing soccer. Liza and Cecilia are 120 feet apart. Dylan is in between them. If Dylan is standing the same distance from both girls, how many feet is Dylan from Liza?
Answer:
60 feet
Step-by-step explanation:
You need to find the midpoint between 0 and 120. (0+120)/2 is 60 feet.
Which of the following does (√e^2) simplify to, for any
nonnegative real number e?
Answer:
d is correct i think because (e^2)^1/2 is equal to e^2*1/2
By simplifying the given equation ([tex]$\sqrt{e}[/tex])² we get e. Therefore, the correct answer is option D. e.
What are non-negative real numbers?The set of positive real numbers which exist greater than 0 (zero) exists as the non-negative real numbers. The statement can be written as,
R ≥ 0
Which signifies the real numbers exist either positive or zero. The set will contain numbers like {0,1, 2, 3, 4, 5,…}.
Given: ([tex]$\sqrt{e}[/tex])²
Let, [tex]$\sqrt{e} = e^{1/2[/tex]
(√e)² = [tex]$e^{(1/2*2)[/tex]
Simplifying the above equation, we get
= e¹
= e
Therefore, the correct answer is option D. e
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Which answers describe the shape below?
Answer:
That would be E. trapezoid
Step-by-step explanation:
Answer:
E is the answer thank me later
Help i dont know how to do this type of questions
Answer:
x = 28°
y = 23°
Step-by-step explanation:
5y - 4 + 3y = 180
solve for y
8y = 184
y = 23
3y and 2x + 13 are equal
solve for x now that we know y is 23.
3(23) = 2x + 13
69 = 2x + 13
56 = 2x
28 = x
Answer:
y=23 x=28
Step-by-step explanation:
5y-4 + 3y =180⁰
8y-4=180
8y=184
y=23
3y=2x+13
69=2x+13
-13 -13
56=2x
28=x
Hope this is helpful. good luck
A company want to find out if there is a linear relationship between indirect labor expense (ILE), in dollars, and direct labor hours (DLH). Data for direct labor hours and indirect labor expense for 10 months are given. Approximately what percentage of the variation in indirect labor expenses is explained by the regression model you derived?
DLH(X) ILE(Y)
20 361_0
25 400
22 376
23 384
20 361_0
19 360
24 427.2
28 458.4
26 450_8
29 475.2
Answer:
y = 115.0977+12.2992X
91.59%
Step-by-step explanation:
Given :
DLH(X) ILE(Y)
20 361_0
25 400
22 376
23 384
20 361_0
19 360
24 427.2
28 458.4
26 450_8
29 475.2
DLH (X) : Direct Labor Hours
ILE (Y) : Indirect Labor Expense
The regression model obtained by fitting the data using technology is :
y = 115.0977+12.2992X
Where ;
Intercept = 115.0977 ;
Slope = 12.2992
The Coefficient of determination, R² gives the proportion of explained variance due to the regression line.
For the data given above, the Coefficient of determination R² obtained using the Coefficient of determination calculator is 0.9159 ; which means that (0.9159 * 100%) about 91.59% of the variation in indirect labor expense is explained by the regression line while 8.41% is due to other factors.
Which matrix equation represents the system of equations?
[4x - 2y = -7
3y = 5
Therefore, the matrix equation represents the system of equations
4x - 2y = -7
0x + 3y = 5 is given by
[tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-7\\5\end{array}\right][/tex].
How to write a system of linear equations in matrix form?Three easy steps must be taken in order to express any system of linear equations in matrix form:
1. First, create a single matrix with all the coefficients. An acronym for this is a coefficient matrix.
2. Multiply this matrix by the system setup variables in a different matrix. The variable matrix is another name for this.
3. In another matrix, place the solutions on the other side of the equal sign. The answer matrix is another name for this.
How to solve this problem?Given system of linear equations:
4x - 2y = -7
0x + 3y = 5
The coefficient matrix is [tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right][/tex].
The variable matrix is [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex].
[ Since [tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}4x-2y\\0x+3y\end{array}\right][/tex] ]
The answer matrix is [tex]\left[\begin{array}{ccc}-7\\5\end{array}\right][/tex].
Therefore, the matrix equation represents the system of equations
4x - 2y = -7
0x + 3y = 5 is given by
[tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-7\\5\end{array}\right][/tex]. So, the last option is correct.
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express 30kmph in M/S
Step-by-step explanation:
30×5/18
25/3
=8.33 m/s
!!!!!!!!!
Answer:
I think the answer is 8.33 (rounded to 2 decimal points)
Match each tool with how we used it in class
Answer:
1 - b
2 - a
3 - c
Step-by-step explanation:
Solve each problem. NO LINKS!!! PART 2.
9514 1404 393
Answer:
28. 480
29. 40,320
Step-by-step explanation:
28. The number of possible choices is the product of the numbers of choices for each component:
5×8×12 = 480 . . . . possible different systems
__
29. Regardless of where person A sits, the remaining B through I people can be seated in 8! = 40,320 different orders.
There are 40,320 possible seating arrangements.
I NEEED HELPPPPPPPPP!!!!!
Two puppies from the same litter name Bruno in Jasper there ways during the first six weeks are plotted on the coordinate grid at which age did Bruno in Jasper Way the same
Answer:
3 weeks
Step-by-step explanation:
Two puppies from the same litter are named Bruno Puppy Weight and Jasper. Their weights during the first weeks are plotted on the coordinate grid. At which age did Bruno and Jasper weigh the same?
Solution:
We can see that Bruno and Jasper weight is represented by a straight line. Let y represent the weight of the puppies in ounce and x represent the age in weeks.
For Bruno:
The line passes through (1, 10) and (5, 16), hence the equation of the line is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{16-10}{5-1} (x-1)\\\\y-10=\frac{3}{2}(x-1)\\\\y=1.5x+8.5\ \ \ (1)[/tex]
For Jasper:
The line passes through (0, 12) and (3, 13), hence the equation of the line is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-12=\frac{13-12}{3-0} (x-0)\\\\y-12=\frac{1}{3}(x)\\\\y=\frac{1}{3} x+12\ \ \ (2)[/tex]
To find the age at which both puppies weighed the same, we have to solve equation 1 and 2 simultaneously. Subtract equation 1 from 2:
-1.167x + 3.5 = 0
1.167x = 3.5
x = 3
Put x = 3 in equation (2)
y = (1/3)(3) + 12 = 13
The solution is (3, 13)
Therefore both Jasper and Bruno weigh the same weight of 13 ounce at 3 weeks of age
QUESTION IN PICTURE thx <3
Answer:
7 1/9
Step-by-step explanation:
because I know i'm right
Answer:
Answer in Improper fraction: 64/9
Answer is Mixed number: 7 1/9
In decimal form: 7.11111111111111111111111111111111111111 (Forever, you get the picture)
Step-by-step explanation:
Improper fraction form:
8/3*8/3= 64/9
Hope this helps!
Someoneeeee help I don’t get it
Answer:
the answer is -2,9 lollololl
Drag each coordinate air to the correct location on the table
Quadrant
Quadrant
Quadrant
Quadrant
Reset
Next
Answer:
1-3, 2-1, 3-3, 4-4, 5-1, 6-3
Step-by-step explanation:
Its the top number in a row to colum
You roll a six-sided number cube and flip a coin. What is the probability of rolling a number greater than 4 and flipping heads? Write your answer as a fraction in simplest form.
Answer:
1/6
Step-by-step explanation:
the options greater than 4 on a six-sided dice are 5 and 6 so 2 out of the 6 options so that simplifies to 1/3 and then heads or tails for the coin is 1/2 so then multiply 1/3 times 1/2 to get the probability of those both happening and the answer is 1/6
Need help I really do pls my going to get a f and I don’t want to repeat
1. -2<2 2. -4> -5. -20<20. -7>-8. -10<-1. 50>-100
Find the graph of the inequality y+2>-3(x+1)
Answer:
Below.
Step-by-step explanation:
y + 2 > -3(x + 1)
y + 2 > -3x - 3
y > -3x - 5
The graph will be the graph of the line y = -3x - 5 (dotted line), with the area above the line shaded.
A right circular conical tank of height 1 foot and radius 1 foot at the top is full of water. Taking the density of the water to be 60 pounds per cubic foot, how much work in foot-pounds is required to pump all the water up and over the top of the tank
Answer:
Step-by-step explanation:
Height= 1 foot
Radius= 1 foot
Density= 60 pounds per cubic foot
Density = mass/ volume
Vol of cone= 1/3× 22/7 ×(radius^2)
=1/3×22/7×1×1
=22/21
Mass=volume × density
= 22/21 × 60
=440/7
Energy = mgh
= 440/7 ×10 × 1
= 628.57 foot pounds
Five classmates want to know how many of the 2688 students in their school prefer pop music. They each randomly survey 64 students. The table shows the results.
Use the results from each classmate to make an inference about the number of students in the school who prefer pop music.
Based on Shannon's results, the number is __
students.
Based on Trey's results, the number is __
students.
Based on Robert's results, the number is __
students.
Based on Callie's results, the number is __
students.
Based on Lani's results, the number is __
students.
Question 2
Describe the variation of the five inferences. Which one would you use to describe the number of students at the school who prefer pop music? Explain.
The greatest is __
students. The least is __
students. The median of the data is __
. The mode of the data is __
. So, use the inference of __
students to describe the number of students at the school who prefer pop music.
Answer:
Question 1
Shannon: 882/2688
Trey: 1008/2688
Robert: 798/2688
Callie: 882/2688
Lani: 840/2688
Question 2
The greatest is 1008/2688 students.
The least is 798/2688 students.
The median of the data is 882/2688 students.
The mode of the data is 882/2688 students.
So, use the inference of 882/2688 students to describe the number of students at the school who prefer pop music.
Step-by-step explanation
Question 1
Shannon: Because 21/64 in Shannon's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 21 gets us 882/2688 who might prefer pop music in the entire school without surveying all of the students.
Trey: Because 24/64 in Trey's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 24 gets us 1008/2688 who might prefer pop music in the entire school without surveying all of the students.
Robert: Because 19/64 in Robert's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 19 gets us 798/2688 who might prefer pop music in the entire school without surveying all of the students.
Callie: Because 21/64 in Callie's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 21 gets us 882/2688 who might prefer pop music in the entire school without surveying all of the students.
Lani: Because 20/64 in Lani's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 20 gets us 840/2688 who might prefer pop music in the entire school without surveying all of the students.
Question 2
Using Shannon's or Callie's survey would best describe the number of students in the entire school because their individual results (21/64) is the average of all of the individual results of the 5 students. If you decide to use any of the other individual survey results, you will not get the closest answer to the actual amount of students who prefer pop music in the entire school.
Using the individual survey results to estimate the number of students who prefer pop music in the entire school:
The greatest was Trey's results, which estimated about 1008 out of 2688 students in the entire school who would prefer pop music.
The least was Robert's results, which estimated about 798 out of 2688 students in the entire school who would prefer pop music.
The median of the data was 882 out of 2688 students in the entire school who would prefer pop music, as shown in Shannon's and Callie's individual survey results.
To find the median, list the results least to greatest, then look at the number that is in the exact middle. If there is no middle, but instead two middle numbers, find the average of the two.
The mode of the data was Shannon's or Callie's results, which estimated about 882 out of 2688 students in the entire school who would prefer pop music.
To find the mode, look for the number or result that it repeated the most (Ex: the result of 21/64 students who preferred pop music was found twice compared to the other individual survey results which did not repeat more than once).
So, in the end using Shannon's or Callie's individual survey results to estimate the amount of students in the entire school who prefer pop music is the best way to do so.
Please comment if you think I made a mistake, misunderstood, or missed something.