Answer:
h
Step-by-step explanation:
On any given day, the proportion of workers at a factory who are more than 5 minutes late to work is 0.11. A random sample of 20 workers will be selected. Which of the following is the best interpretation of the mean of the sampling distribution of the sample proportion of workers in the sample who are more than 5 minutes late to work for samples of size 20 ?
A) For all samples of size 20, the mean of all possible sample proportions is equal to 0.11.
B) For a randomly selected worker, the probability the worker will be more than 5 minutes late to work is 0.11.
C) For a random sample of 20 workers, the proportion of workers who are more than 20 minutes late to work will be 0.11.
D) For a random sample of 20 workers, the probability that 2.2 workers will be more than 5 minutes late to work is very high.
E) For repeated samples of size 20, the proportion of workers who are more than 5 minutes late to work varies in each sample by no more than 0.11.
Answer:
A) For all samples of size 20, the mean of all possible sample proportions is equal to 0.11.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question, we have that:
The proportion workers at a factory who are more than 5 minutes late to work is 0.11. So, by the interpretation of the central limit theorem, the mean of all sample proportions, for samples of size 20, will be of 0.11.
The correct answer is given by option A.
The interpretation of the mean of the sampling distribution will be A. For all samples of size 20, the mean of all possible sample proportions is equal to 0.11.
The sampling distribution of the sample proportion is approximately normally distributed. It's simply the mean of the population from where the population is sampled.From the information, the mean of the sampling distribution of the sample proportion of workers in the sample who are more than 5 minutes late to work for samples of size 20 will be that for samples of size 20, the mean of all possible sample proportions is equal to 0.11.In conclusion, the best option is A.
Learn more about sampling distribution on:
https://brainly.com/question/17831271
5a - 7b + a -5b - 4 + a
Answer:If you simplify it will be 7a−12b−4
Step-by-step explanation: Yes
Please help. The few questions I need help with are in the image below. Thanks.
Answer:
3) 21/60= 0.35
4) 5/4= 1.25
5) 9/15= 0.6 or 2/3
6) 378/15= 25.2 or 25 and 1/5
7) 1 1/2/ 2/3= 2.5
8) 28 1/3 / 3 1/3= 8.5
Step-by-step explanation:
hope this helps!
mark me brainliest please!
Will mark brainliest!!! Find the value of each variable in the parallelogram
Answer:
a = 9, b = 11
x = 2, y = 17
Step-by-step explanation:
opposite sides are equal in a parallelogram!
Please help it just one question please!!!
Answer:
-51
Explanation:
[tex]=17\left(-3\right)\\\\=-51[/tex]
Answer:
-51
Step-by-step explanation:
because you add the parenthesis first so 17, and you times that by -3
What is the equation of the line that passes through the point (-3, 2) and has a
slope of -2/3
Answer:
y=-2/3x
Step-by-step explanation:
if you use the graphing calculator, the y intercept of the equation is 0 therefore y=mx
m=-2/3
the slope intercept equation is y=-2/3x
What is an angle that is adjacent to <2?
(PLEASE)
Answer:
∠3 and ∠1 are correct
Step-by-step explanation:
adjacent angles are next to each other with a common vertexand side
3. Adrian is 8 years older than his brother, Jose. In 3 years he will be twice as old as his brother. Find the present age of each.
Answer:
Age of Jose = 5 years
Age of Adrian = 13 years
Step-by-step explanation:
Let:
Age of Jose = x
Age of Adrian = x+8
After 3 years
Age of Jose = x+3
Age of Adrian = x+8+3 = x+11
Now, we are given, in 3 years he will be twice as old as his brother.
So, we can write
Age of Adrian = 2 (Age of Jose)
x+11 = 2(x+3)
x+11=2x+6
2x-x=11-6
x=5
So, we get value of x = 5
Now, the present ages will be:
Age of Jose = x = 5 years
Age of Adrian = x+8 = 5+8 = 13 years
Adrian is 8 years older than his brother, Jose. In 3 years, he will be twice as old as his brother. Find the present age of each.
Answer:Jose is currently 5 years old.Adrian is currently 13 years old.Solution and Explanation:Let's represent the age of Jose as [tex]\large\rm x[/tex]
According to the problem, Adrian is 8 years older than Jose, so Adrian's age can be represented as [tex]\large\rm x + 8[/tex].
In 3 years, Adrian's age will be [tex]\large\rm (x + 8) + 3[/tex] and Jose's age will be [tex]\large\rm (x + 3)[/tex].
The problem also tells us that in 3 years, Adrian will be twice as old as Jose:
[tex]\Large\begin{aligned}\rm{(x + 8) + 3}& =\rm{2(x + 3)}\\\rm{x + 11}&=\rm{2x +6}\\\rm{\cancel{x\red{-x}} + 11}&=\rm{2x \red{-x} + 6}\\\rm{11}&=\rm{x + 6}\\\rm{11\red{-6}}&=\rm{x + \cancel{6\red{-6}}}\\\bold{5}&=\rm{x}\end{aligned}[/tex]
So Jose is currently 5 years old.
To find Adrian's age, we can use the fact that Adrian is 8 years older than Jose:
[tex]\Large\begin{aligned}\rm{Adrian's\: age}& =\rm{x + 8}\\\rm{Adrian's\: age}&=\rm{\red{5} + 8}\\\rm{Adrian's\: age}&=\bold{13}\end{aligned}[/tex]
Therefore:
Jose is currently 5 years old.Adrian is currently 13 years old.[tex]\\\\[/tex]
For more information visit these links:
https://brainly.com/question/16552827
https://brainly.com/question/29159374
https://brainly.com/question/9051590
PLEASE HELP ME i rly need an a
what is how much sales tax will Larry pay for his $939 doorbell in Las Vegas, where the sales tax is 8.38%? Use appropriate units and round your answer to the nearest cent if necessary. * plez i beg
Answer:
939/x 8.38/100
x8.38 93900
x= 11205.25
Step-by-step explanation:
Rose wants to get 90% on a 40 question quiz. How many questions must she get correct?
Answer:
36
Step-by-step explanation:
We can use the is/of=%/100 proportion...
x = 90
40 100
First, we need to multiply 90 by 40. 90x40=3,600.
Next, we have to divide 3,600 by 100. 3,600/100=36.
Rose needs to get 36 questions correct to get at least a 90%.
Hope this helps!! Have a great day C:
9-5(x+4)=3(2-x) plz help im so bad at math
9 × x = 9x
-5 × x = -5x
9 × 4 = 36
-5 × 4 = -20
3 × 2 = 6
3 × -x = -3x
9x - 5x + 36 - 20 = 6 - 3x
4x + 16 = 6 - 3x
4x - 3x = - 16 + 6
x = - 10
: )
A pitched roof is built with a 2:5 ratio of rise to span. If the rise of the roof is 12 meters, what is the span?
4.8 meters.
30 meters.
15 meters.
9 meters.
Help please!
Answer:
30!
Step-by-step explanation:
I took the Quiz!
express 7π/6 in degrees
Answer:
210°
Step-by-step explanation:
To change from radians to degrees, multiply 7π/6 by 180/π
That will give 210°
Would appreciate a Brainliest if this helped :)
Solve for x 3x-16 17x-382
Answer:
X = 9
Step-by-step explanation:
Help please will mark brainliest!!
Francis surveyed a random sample of 70 students at Franklin High School about their favorite season. Of the students surveyed, 18 chose fall as their favorite season. There are 181618161816 students at Franklin High School.
Based on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall?
Answer:
46701813038
Step-by-step explanation:
Someone please help and thank you
Answer: 11:7
Step-by-step explanation:
66 is divisible by 6 = 11
42 is divisible by 6 = 7
GIVE BRAINLIEST!
HELP! whoever gets it right gets brainliest!!!
Answer:
C
Step-by-step explanation:
By trial and error.
A: 50*12-100=500, 50*15-100=650. (A is not correct)
B: 500(12-11)=500, 500(15-11)=2000. (B is not correct)
C: 300(12-12)+500=500, 300(15-12)+500=1400. (if you continue try the numbers, you will see that this is the correct answer)
D: 200(12-5)+400=1800. (D is not correct)
The perimeter of this shape is 29 cm.
What the value of x?
Answer:
X=7
Step-by-step explanation:
So first add them all up
x-2+2x+x+3=4x+1
4x+1=29
4x=28
x=7
1
How many cubes with side lengths of cm does it take to fill the prism?
4
1
1
cm
4
3
cm
2 cm
4
Answer:
135 small cubes fill the prism
Step-by-step explanation:
Find the volume of the prism.
V = l * w * h
l = 2 1/4 = 2.25
w = 3/4 = 0.75
h = 1 1/4 = 1.25
V = 2.25 * 0.75 * 1.25
V = 2.109375
I wouldn't round this quite yet.
V of 1 small cube = 1/4 * 1/4 * 1/4 = .015625
So divide the volume of the prism by the volume of the small cube
2.109375/0.015625 = 135
A common form for rational numbers means to change all of the numbers to a decimal or a fraction
True or False
Answer:
I think its......false (I tried)
Step-by-step explanation:
How do I write this expression in fewer terms?
9m + k - (3m-2k)
PLEASE HELP WITH ALL IT WOULD BE NICE IF YOYU WOULD
I need help. How do i solve this?
Answer:
C
Step-by-step explanation:
Cool
Which rule describes the translation?
y
5
B
С
O(x, y) - (x -8, y - 3)
O(x, y) = (x - 3, y + 8)
(x, y) + (x + 8, Y-3)
O (x, y) = (x + 3y + 8)
B'
C'
A
-5
D
A'
D'
Answer:
(x,y) -> (x + 8, y - 3)
Step-by-step explanation:
Move any point to the right 8 units, and down 3 units. You are just translating the shape, not dilating, reflecting, or rotating it.
Copy the proof on paper, mark the given diagram, fill in the blanks to fill in the proof
Statement Reason
1.
LA ≅ ?? Given
Given
2.
TA ≅ ??? Reflex Prop.
3. ∠LAT≅∠ ??? ???
4. △LAT≅△ ??? ???
Answer:
I don't know all of these, but I do know some.
Step-by-step explanation:
1. LA ≅ SA Given
2. I'm sorry I don't know this
3. ∠LAT≅∠ SAT and Def of angle bisector for the reason.
4. △LAT≅△ TAS and I believe it's SAS for the reason.
Answer:
Answers in explanation
Step-by-step explanation:
LA ≅ SA | Given
TA ≅ TA | Reflexive Property
∠LAT ≅ ∠SAT | Definition of angle bisector
△LAT ≅ △SAT | SAS
-4n-8=4(-3n+2) solve for n
Answer:
n=2 see the pic above
Step-by-step explanation:
i am very sure
Answer:
N = 2
Step-by-step explanation:
I got this answer right on Khan Academy.
Hope this helps! :)
Which table shows a proportional relationship ?
Answer:
First table
Step-by-step explanation:
In a table of a proportional relationship, there is always some number that you can multiply by the number in the first column to get the number in the second column for any row. This number is called the constant of proportionality. In the fruit juice example, the constant of proportionality is 0.4.
Question 5(Multiple Choice Worth 1 points) (02.01 LC) Which of the following tables represents a function?
x 2 2 3 3
y 5 -5 6 -6
x 4 -4 4 -4
y 1 2 3 4
x 6 6 7 7
y 2 3 4 5
x 2 -2 4 -4
у 8 8 12 12
Answer:
D.
x 2 -2 4 -4
y 8 8 12 12
Step-by-step explanation:
the x values should never ever repeat for the y values.
f(x) = radical 2x-1
] 1,2[
] 1/2, +oo[
[1/2, +oo[
Answer:
○ [tex]\displaystyle [\frac{1}{2}, ∞[[/tex]
Step-by-step explanation:
All you want to do is set the radical equal to zero to determine your domain, and sinse substituting [tex]\displaystyle \frac{1}{2}[/tex] in for [tex]\displaystyle x[/tex] would make this 0, it would be the INCLUDED endpoint, so your bracket faces [tex]\displaystyle \frac{1}{2},[/tex] then continues on infinitely.
I am joyous to assist you at any time.
**The ONLY time this is not the case is when you have a rationale-radical function, in which you must never have 0 in the denominatour.