Only the first statement is false. The rest are true statements about the Central Limit Theorem.
The Central Limit Theorem (CLT) is a fundamental theorem in probability and statistics which states that, given a sufficiently large sample size from a population with a given mean and standard deviation, the sampling distribution of the mean will be nearly normal, regardless of the shape of the original population distribution.
It is important to note that the first statement presented is false. Taking more samples from the population will not necessarily result in a more normal sampling distribution. The CLT does not guarantee that the sampling distribution will be normally distributed, only that it is more likely to be so as the sample size increases.
The second statement is true. If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. The third statement is also true. As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution.
Finally, the fourth statement is also true. The CLT states that the sampling distribution will be centered at the true population parameter. This means that the mean of the sampling distribution will be equal to the mean of the population.
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Myles has a room that is 300 m². If he wants to tile the room using 5 cm x 5 cm tiles, how many whole tiles will he have to use?
Answer:
Number of whole tiles need = 120,000 tiles
Step-by-step explanation:
Given:
Area of room = 300 m²
Dimension of each tile = 5cm x 5cm
Find:
Number of whole tiles need
Computation:
Dimension of tile in meter = 5 /100 = 0.05 m
Area of each tile = 0.05 x 0.05
Area of each tile = 0.0025 m²
Number of whole tiles need = Area of room / Area of each tile
Number of whole tiles need = 300 / 0.0025
Number of whole tiles need = 120,000 tiles
Total 120,000 tiles need to cover 300 m² room.
Question 6 (Essay Worth 6 points) (05.03)Sue has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet, the other height and base of 8 feet, and one rectangle measuring 35 feet by 8 feet.
Answer The answer is 544
Step-by-step explanation: You can make two triangles and a rectangle. The triangle at the left top you do:
25 x 8= 200
The triangle at the bottom you do:
8 x 8= 64
The rectangle which is in the middle you do:
35 x 8= 280
Then you add all of them to get your answer:
280 + 200 + 64= 544
Hope this helped
Answer:
someone give this man branliest
Step-by-step explanation:
Evaluate the expression: –5 + 280 + 62.
Answer:
the answer is 337
Step-by-step explanation:
-5 + 280 + 62
= 337
Answer:
337
Step-by-step explanation:
-5 plus 280 is 275
275 + 62 is...
337
What is Theoretical Probability in your own words ?
Answer:
Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes. The result is a ratio that can be expressed as a fraction (like 2/5), or a decimal.
Step-by-step explanation:
x = 12 - 3y
3x + 9y = 24
Answer:
Cool
Step-by-step explanation:
Thanks !!!
which expression is equivalent to m-4/m+4 + (m+2) ?
A. m-4/(m+4)(m+2)
B. (m+4)(m+2)/m-4
C. m-4)(m+2)/m+4
D. m+4/(m-4)(m+2)
Answer:
C.
Step-by-step explanation:
......................
The expression that is equivalent to the expression (m - 4)/(m + 4) + (m + 2) is {m + m² + 6m + 4}/{m + 4}.
What is algebraic expression?An expression in mathematics is a combination of terms both constant and variable. For example, we can write the expressions as -
2x + 3y + 5
2z + y
x + 3y
Given is to find the expression is equivalent to -
(m - 4)/(m + 4) + (m + 2)
We have the following expression as -
(m - 4)/(m + 4) + (m + 2)
{(m - 4) + (m + 2)(m + 4)}/(m + 4)
{(m - 4) + m² + 4m + 2m + 8}/(m + 4)
{m + m² + 6m + 4}/{m + 4}
Therefore, the expression that is equivalent to the expression (m - 4)/(m + 4) + (m + 2) is {m + m² + 6m + 4}/{m + 4}.
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a plate moves at a sped of 45 mm/yr. How far will the plate move in 100 years?
Answer:
4,500 millimeters per year.
Step-by-step explanation:
brainliest?
Answer:
4500 mm or 4.5 m
Step-by-step explanation:
45 mm/yr x 100 yr = 4500 mm = 4.5 m
Jim takes out a mortgage for 30 years at an interest rate of 2.49% and his monthly repayments are $986.50. What is the principal loan amount? Round your answer to the nearest ten thousand dollars. Do NOT round until you have calculated the final answer.
Answer:
250000
Step-by-step explanation:
P=986.50(1-(1+.0249/12)^-(12)(30) Then divide the answer you get by (.0249/12)
Answer: 250,000
Step-by-step explanation:
We must apply the formula for P0, that is,
P0=986.50(1−(1+0.024912)−30⋅12)(0.024912),
which gives P0=$250,000 to the nearest $1.
if x = –2 ,then find the value of x³ –2x + 1
Answer:
- 3
Step-by-step explanation:
Substitute x = - 2 into the expression , that is
(- 2)³ - 2(- 2) + 1
= - 8 + 4 + 1
= - 3
In 42 of the 64 years from 1950 through 2014,the S& P 500 finished higher after the first five days of trading (in 2011 there was virtually no change). In 37 out of 42 years, the S&P 500 finished higher for the year. Is a good first week a good omen for the upcoming year? The following table gives the first-week and annual performance over this 64-year period.
S&P 500's Annual Performance
First week Higher Lower Total
Higher 37 5 42
Lower 11 11 22
Total 48 16 64
a) If a year is selected at random,
what is the probability that the S&P 500 finished lower for the year?
b) Given that the S&P finished lower after the first five days of trading,
what is the probability that it finished lower for the year?
c) Are the two events "first week performance" and "annual performance"
independent or dependent? Explain why.
Answer:
what website or book is that?
Rebecca paid $25.80 to place an advertisement in a local newspaper. The total cost is determined by a
$5.00 set up cost and then a $0.40 per word cost. How many words were in Rebecca's
advertisement?
If a dozen dozen candies cost a half-a-dozen dimes a dozen, how much will a half-a-dozen dozen candies cost?
Answer:
74
Step-by-step explanation:
The cost of half-a-dozeon dozen candies for this case will be $3.6
How much a dozen consists of ?A dozen of a thing means 12 of such thing is in consideration. If we say we have a dozen pencils, then twe mean we have 12 pencils.
For this case, it is given that:
Cost of a dozen dozen candies = half a dozen dimes a dozenCost of a half a dozen dozen candies = ? (to find)A dozen contains 12 quantities.
A dozen dozen candies means 12 times 12 = 144 candies
half a dozen dimes dozen cost = (12/2) × 12 dimes = 72 dimes
That means:
144 candies cost 72 dimes.
Dividing both quantities by 144 to get price of 1 candy:
144/144 = 1 candy's price = 72/144 dimes = 0.5 dimes = 0.05 dollars (1 dime = 0.1 dollars)
Half a dozen times dozen candies = 72 candies
1 candy costs 0.05 dollars
72 candies cost [tex]72 \times 0.05 = 3.6[/tex] dollars.
Thus, the cost of half-a-dozeon dozen candies for this case will be $3.6
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Is 53 or 63.38 correct pls help me
Answer:
Okay so A will equal 45 degrees
Step-by-step explanation:
When you have a right triangle the other angle measures will be 45 degrees. The interior sum of all the angles will always be 180 degrees. The other angle will be 45 degrees as well
Find the distance between the two points rounding to the nearest tenth (if necessary). (1,−7) and (4,−5)
Answer:
5
Step-by-step explanation:
distance formula [tex]\sqrt{(4-1)^{2} + (-5+7)^{2}[/tex]
Help me with this math assignment
Answer:
24 cubic feet
Step-by-step explanation:
brainliest or 5 stars and heart or BOTH
correct me if im wrong
Mountain officials want to build a new ski lift from B to C, as shown in the figure below. The distance from A to C is 1540 feet. They measure angle DAC to be 38º and angle DBC to be 25º. What is the distance from A to B ? Round your answer to the nearest tenth of a foot.
Answer:
there is a 13 degree difference from DBC and DAC
with that you divide 1540 by 13 as you get that 118.461 feet
that means that there is a 118.461 difference from B to C and A to B
so the answer is either 1658.461ft or 1421.539ft I am not sure if that is correct or not but best of luck mate
PLEASE HELP ASAP
Find the missing side of this right
triangle,
Х
8
16
x = [?]
Answer:
its is 192 I just took this assignment
Someone please answer this
Answer:
Answer what?
Step-by-step explanation:
Big chickens: A report from a poultry industry news Web site stated that the weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1376 grams and standard deviation 183 grams. Use the TI-84 PLUS calculator and round your answers to at least two decimal places. (a) Find the 24th percentile of the weights. (b) Find the 86th percentile of the weights. (c) Find the second quartile of the weights. (d) A chicken farmer wants to provide a money-back guarantee that his broilers will weigh at least a certain amount. What weight should he guarantee so that he will have to give his customers' money back only 1% of the time
Answer:
i think its b
Step-by-step explanation:
Which two statements are true according to the law of supply? A decrease in demand leads to an increase in supply. A decrease in demand leads to a decrease in supply. There is no change in demand or supply. A decrease in price leads to a decrease in supply. An increase in price leads to an increase in supply.
subject is economics
Answer:
b and c
Step-by-step explanation:
a decrease in demand leads to a decrease in supply. and if there is no change in demand or supply.
Please help, will mark Brainly and if you need help with anything I’ll help with any work you send
Don’t tell me to go to a website, it doesn’t work at all. Stop spamming that.
Answer:
In the first one you are missing (a +7) so it's going to be 9(a +7) or when you factor that out it will be 9a 63
In the other one you are missing the (a +5) so it's going to be 7a(a + 5) or when you factor it out it will be 7a2 + 35a
Step-by-step explanation:
a2+ 9a + 20 = (a + 4) (a + 5)
a2 + 11a+ 28 = ( a + 7) ( a + 4 )
12. Li drinks 1 liter of water each day after soccer practice. How many
milliliters of water does she drink after 5 practices?
F. 5,000 milliliters
H. 50 milliliters
G. 500 milliliters
L. 5 liters
Answer:
F. 5000militres
Step-by-step explanation:
1 litre= 1000ml
1 practice= 1000ml
therefore 5 practices= 5*1000ml
= 5000ml
please answer asap NO SCAM LINKS.
At a bird sanctuary, the population of bluebirds is 120 and is increasing 4% annually. How many bluebirds will there be in 8 years?
29. The table shows the average annual salary in dollars based on the minimum level of education required for two occupations. Based on the average annual salaries in the table, how much more would an accountant eam than a tax preparer over a 30 year career? Occupations Occupation Average Annual Salary (dollars) Level of Education Required Accountant 71,040 41,700 Bachelor's degree High school diploma Tax preparer A $112,740 B. $3,382,200 C. $880,200 D. $1,251,000
Answer:
c. 880,200
Step-by-step explanation:
ur welcome
the measures of a triangle are in the ratio 2:3:5. what are the measures of the angles?
(give all 3 angle measurements pls)
9514 1404 393
Answer:
36°, 54°, 90°
Step-by-step explanation:
We have to assume that the given measures are angle ratios, not side ratios. Sides in the ratios 2:3:5 will not form a triangle.
For some multiplier x, the angle values will total 180°.
2x +3x +5x = 180
x = 180/(2+3+5) = 18
Then the angle measures are ...
2x° = 2·18° = 36°
3x° = 3·18° = 54°
5x° = 5·18° = 90°
The angle measures are 36°, 54°, and 90°.
1. Find the measure of the side indicated (x). Round to the nearest tenth. Show your work to support your
answer
Answer:
Is this for a Trig class? just wondering
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
we want to find the Hypotenuse (Hyp) and are given an angle and the adjacent side (adj) sooo use CAH , b/c it has all of the pieces
Cos(37) = Adj / Hyp
Cos(37) = 11 / Hyp
swap Cos(37) and Hyp... an algebra trick you should know from college algebra or where ever you learned algebra
Hyp = 11 / Cos(37)
now solve with your handy TI 83 / 84 / 89 calculator :) if you don't have one go get one . :D get the 89 if you are going into engineering classes... the 83 /84 if not. (obviously there are many many other good choices, i'm not really a calculator salesman on the side :D )
Hyp = 13.77349...
Hyp = 13.8 ( rounded to nearest 10th ) :)
Answer:
13.8
Step-by-step explanation:
cos37 = 11/x
0.79863551 = 11/x
x = 11/0.79863551 = 13.77 or 13.8
Try to find this answer! Thank you!
jorge is playing football. he carries the ball forward 52/3 yards and then moves backwards 1 foot . how far forward is the ball, in feet, from were jorge stared carring the ball.
Answer:
17 feet
Step-by-step explanation:
52/3= 17 1/3
1 foot is 1/3 of a yard
17 1/3- 1/3 = 17
what is the volume of a cereal box that is 2 inches thick, 12 inches high and 10 inches wide?
Answer:
240
Step-by-step explanation:
12 times 2 is 24
24 times 10 is 240
Have a nice day
Answer:
240 [tex]Inches^{3}[/tex]
Step-by-step explanation: