Answer:
Yes
Step-by-step explanation:
The central limit theorem says that If a random variable X from a population has mean u and finite variance σ² , then the sampling distribution of the sample mean X~ approaches a normal distribution with mean u and variance σ²/n as the sample size n approaches infinity.
It is interesting to note that we have neither assumed that the distribution of X is continuous nor we have said anything about the shape of the distribution , whereas the limiting distribution of X is continuous and normal. Thus the distribution of the sample means regardless of the shape of the population having a finite variance , is approximately normal with mean u and variance σ²/n .
Therefore
(standard deviation/ √sample size)²= variance / n
2/ √20
= 2/4.472
=0.44721
The sampling distribution of X` is therefore approximately normal with mean ux=u and σx =σ/n
Yes, we estimate the standard deviation of the sampling distribution of means by using σ divided by the square root of n and this can be determined by finding the mean and standard deviation for the distribution of the sample means.
Given :
There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20 randomly selected students how many hours of sleep they got last night.They find that the mean amount of sleep is 6.7 hours.The population standard deviation is σ = 2 hours.The mean for the distribution of the sample means is given by:
[tex]\mu_x = \mu[/tex]
[tex]\mu_x = 6.7[/tex]
The standard deviation for the distribution of the sample means is given by:
[tex]\rm \sigma_x = \dfrac{\sigma}{\sqrt{n} }[/tex]
[tex]\sigma_x = \dfrac{2}{\sqrt{20} }[/tex]
[tex]\sigma_x = 0.44721[/tex]
Yes, we estimate the standard deviation of the sampling distribution of means by using σ divided by the square root of n.
For more information, refer to the link given below:
https://brainly.com/question/17716064
Grace rolls a fair, 6-sided die 50 times.
What is the probability that she rolls at least one 6?
Round your answer to 4 decimal places.
O 0.0001
0.1389
0.3333
0.9999
Answer:
Step-by-step explanation:
Here's the thing. It is easier to figure out the probability of not getting a six even once during the 50 rolls.
The chance of that happening is (5/6)^50 = 0.00010988
So the probability is succeeding is (1 - 0.00010988) = 0.9999 rounded to 4 places.
Answer:
0.9999
Step-by-step explanation:
i just did the test
Suppose temperatures and monthly ice cream sales were measured for 100 randomly selectd cities. Which variable is the explanatory variable and which one is the response
Kerrie uses the work shown below to determine 35% of 280
Answer: 35% of 280=98
Step-by-step explanation:
write a/-b in standard form
Answer:
In order to write it in standard form, you need an equal sign somewhere
What is 6/25 as a percent
Answer:
24% yes yes yes
Answer:
24% or [tex]\frac{6}{25}[/tex]=24%
Step-by-step explanation:
We know that
[tex]\frac{6}{25}[/tex]
Is the same as
6÷25
Then, using long division gives us
0.24
Lastly, multiplying 0.24 by 100 gives us
24
Now add the percent sign
24%
Alicia is writing the program for a video game.
For one part of the game, she uses the rule (x,y)→(x-7,y+2) to move points on the screen.
A) What output does the rule give when the input is (-4,-6)? Show your work.
B) What output does the rule give when the input is (2,-9)? Show your work.
Step-by-step explanation:
A.-6-3 = -9
0+4 = 4
(-9,4)
B.3-3 = 0
-4+4 = 0
(0,0)
What is 15% of 20 someone pls help
Answer:
Its 3
Step-by-step explanation:
Simplify (8^4/10^4)^-1/4using rational exponents
Answer:
[tex](\frac{8^4}{10^4} )^{-\frac{1}{4} }[/tex] = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Explanation
Given
[tex](\frac{8^4}{10^4} )^{-\frac{1}{4} }[/tex]
By using algebra formulas
[tex](\frac{a}{b} )^{m} = \frac{a^m}{b^n}[/tex]
[tex](\frac{8^4}{10^4} )^{-\frac{1}{4} } = \frac{(8^{4})^{\frac{-1}{4} } }{(10^{4} )^{\frac{-1}{4} } }[/tex]
[tex](a^{m} )^{n} = a^{mn}[/tex]
[tex]\frac{(8^{4})^{\frac{-1}{4} } }{(10^{4} )^{\frac{-1}{4} } } = \frac{8^{4X\frac{-1}{4} } }{10^{4 X\frac{-1}{4} } }[/tex]
= [tex]\frac{8^{-1} }{10^{-1} }[/tex]
[tex]= \frac{10}{8} \\= \frac{5}{4}[/tex]
Final answer:-
[tex](\frac{8^4}{10^4} )^{-\frac{1}{4} }[/tex] = [tex]\frac{5}{4}[/tex]
Please help I’m so close to passing math
Answer:
225 miles per hour
Step-by-step explanation:
The first trip was 150 miles per hour and the second trip was 300 miles in only one hour. I added both of them and then divided by 2 to get the average.
Maria has 24 apples and pears. Half of the number of pears is equal to a quarter of the number of apples. How many apples does Maria have?
At soccer practice, Tracey's best kick traveled a distance of 1,200 inches. For how many yards did she kick the ball? Express your answer as a
fraction written in simplest form.
Answer:
100/3 yards
Step-by-step explanation:
36 inches=1 yard, so 1200/36 will equal how many yards 1200 inches is.
Simplify:
1200/36
divide numerator and denominator by 12 and you get 100/3
100/3 yards
Tracey kicks the ball for 100/3 yards.
Given that, at soccer practice, Tracey's best kick travelled a distance of 1,200 inches.
We need to find out for how many yards did she kick the ball.
How to convert inches to yards?Inch-to-yard conversion explanation
So to convert from a value in inches to one in yards, we need to divide by 36. To convert a value in yards to inches, we need to multiply by 36.
Now, the number of yards =1200/36=100/3
Hence, Tracey kicks the ball for 100/3 yards.
To learn more about the yards visit:
https://brainly.com/question/28365360.
#SPJ2
The ratio of students with brown eyes in Michelle's class to all of the students in her class is 20:25. What is another way to write this ratio?
Answer:
i think 4:5 is another way to put it
Step-by-step explanation:
20
25 its like just a fraction
Use the conversions given below to change 127 cm into feet
Give your answer rounded to 1 dp.
1 inch = 2.54 cm
1 foot = 12 inches
Answer:
4.2feet
Step-by-step explanation:
127cm=50inches
50 inches=4.16667 feet
1.d.p=4.1 feet
solve for x -8=4 (x-1)
Answer:
-1
Step-by-step explanation:
Distribute the 4 to x and -1. the you have -8=4x-4. Subtract 4 from each side and you have -4=4x. Divide both sides by 4 and you get -x=1 which is the same as x=-1.
Please help I’m so close to passing math
Answer:
$0.07
Step-by-step explanation:
The simplest way to get the answer is to divide $0.42 by 6 to get the price for 1-ounce rice. You should get $0.07 as a result.
Answer:
$0.07 per ounce of rice
Step-by-step explanation:
0.42/6
Move decimal to make it a whole number
(Have to more decimal the same amount of spaces on both sides)
042/600
0.07
Hope this helps. Have a nice day
HELP ME PLz
i will mark you as brianlist
Answer:
id say D
Step-by-step explanation:
hope I'm right, sorry if I ament
I'm not the brightest please help.
Answer:
mount whitney..............
Answer:
so the answer is mount whiteney
Step-by-step explanation:
Pikes peak = 4,302 m
mount whitney = 4,421 m
mount shasta = 4,322 m
Mount Rainier = 4392 m
.....................
Answer:
A
Step-by-step explanation:
Is each of the following a linear function?
4
A. Y = --x
5
A.y = -
Yes
No
B. y = 5x2 - 2
Yes
No
|
C. y = -7
Yes
No
Answer:
b yes , a no , c yes ,a no ,b yes
find the equation of a parabola
vertex at origin, focus: (0,-1/32)
Answer:
can you take a picture so I can see I'm trying to help you
Use mental math to solve the proportion. 25 over 40 equals 5 over t
Answer:
t = 8
Step-by-step explanation:
create the proportion
[tex]\frac{25}{40} =\frac{5}{t}[/tex]
[tex]\frac{25}{40}[/tex] simplifies down to [tex]\frac{5}{8}[/tex]
t = 8
Answer:
8
Step-by-step explanation:
25/40=5/t
0.625=5/t
0.625*t=5
(0.625*t)/0.625=5/0.625
t=8
-3x8
5.0
-2 x 5
9.
16 x -15
13.3
-14 x 2
-3×8= -24
-2×5= -10
16× -15= -240
-14×2= -28
Hope this helps!
The times for 5 runners in a 30-meter dash were 6.44 seconds, 6.2 seconds, 6.04 seconds, 7.14 seconds, and 6.48 seconds. Write these times from fastest to slowest.
Answer:
329842384097
Step-by-step explanation:
Elsa wants to build a snowman. Elsa only has 20 Frozen energies to make them. Each large snowman requires 5 Frozen energies and a small snowman requires 2 Frozen energies. Anna's display area is 48 f t2 . A large snowman takes up 10 f t2 and a small snowman takes up 8 f t2 . What are the number of small and large snowmen Elsa and Anna can make?
48/8=8 this means Elsa can create a minimum of 8 small snowmen to cover the display area. 8x2=16 which means Elsa would have 4 spare frozen energies. OR 10 can go into 48 a maximum of 3 times to make LARGE snowmen without using all her energy but not enough to cover the display area. 48-30=18 Elsa still has five energies left so she can build two SMALL snowmen giving her a total of 16 with a remainder of two square feet uncovered. OR Elsa can make two large snowmen (covering 20 square feet and leaving her 10 energies left) and make five small snowmen which would cover a total of 40 square feet. 40+20=60 which is too much. 60-48=12. If Elsa made four small snowmen instead of five it would equal 32. 32+20=52 which is still too much. If Elsa made three small snowmen instead of four it would equal 24. 24+20= 44 which isn't enough to fill the display.
Please give hearts I really need the points!
what is the expression for 59+7 over 9
Answer:
59 + 7/9
Step-by-step explanation:
The answer is 59.78 I know this cuz im is smart
hellp meee brainlest in my had part 2
Answer:
The unit cost one is A
Step-by-step explanation:
Because it is the only answer that the math actually adds up to
Photo attached please help
4/5x = 3
please solve for x
Answer:
x=15/4 or x=3.75
Step-by-step explanation:
4/5*x=3
4/5=0.8
0.8*3.75=3
7) Mr. Lopez is planting a flower garden. He has 18 red roses and 6 yellow roses. Which ratio compares the number of yellow roses to the total number of roses in the garden? *
Answer:
6:24 or 1:3 (this is reduced)
Step-by-step explanation:
I added 18 plus 6 together getting 24, which tells me that there are 24 flowers in Mr. Lopez's garden. I then set up the ratio as 6:24, but i knew that i could reduce it. (I'm noy sure if you want it reduced or not) So I divided both sides by 6 getting the ratio 1:3.
Hope this helps!
What is the common difference between successive
2, 8, 14, 20, 26,
O -6
O 4
O 4
O6
6
Step-by-step explanation:
8-2=6 14-8=6 20-14=6 26-20=6
