Using the Central Limit Theorem, it is found that a larger sample size reduces the variability, that is, the experimental probabilities will be closer to the theoretical probabilities, which explains why the actual results are closer to the expected probability of 1/2 when rolling the cube 100 times.
What does the Central Limit Theorem states?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard error [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
That is, the standard error is inverse proportional to the square root of the sample size, hence a larger sample size reduces the variability, that is, the experimental probabilities will be closer to the theoretical probabilities, which explains why the actual results are closer to the expected probability of 1/2 when rolling the cube 100 times.
More can be learned about the Central Limit Theorem at https://brainly.com/question/16695444
Find the volume of the cylinder
V = π r² h
r = 3/2 = 1.5m
h = 3m
taking π as 3.14
V = π r² h
= 3.14 × 1.5 ×1.5 × 3
= 21.195 m³
Find the surface area of a square pyramid with side length 3 m and slant height 5 m.
Information provided with us:
Side length ( a ) = 3mSlant height ( l ) = 5mⳘ⳽ⲓⲛⳋ ⳨ⲟⲅⲙⳙⳑɑ :
Surface area of square pyramid is given by the sum of areas of all its 4 triangular sides and the square base area. If a is the base side length and l is the slant height , then the surface area of square pyramid is:
ㅤㅤㅤㅤㅤ➙ a² + 2al
Ⲧⲏⲉⲅⲉ⳨ⲟⲅⲉ:
ㅤㅤㅤ➙ A = a² + 2al
ㅤㅤㅤ➙ A = ( 3 ) ² + 2 × 3 × 5
ㅤㅤㅤ➙ A = 9 + 30
ㅤㅤㅤ➙ A = 39m²
~Hence, the surface area of given square pyramid is 39 m².
Answer:
39 m²
Step-by-step explanation:
surface area of square based pyramid = [tex]a^2+2al[/tex]
(where [tex]a[/tex] is the side length of the base and [tex]l[/tex] is the slant height)
Given:
[tex]a=3[/tex][tex]l=5[/tex]⇒ SA = 3² + (2 x 3 x 5) = 39 m²
simplify -0.5 + ½p - 2.75 + ⅔p
Answer:
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Answer:
-0.5+\frac{1}{2}p-2.75+\frac{2}{3}p=1.16666\dots p-3.25
-0.5+\frac{1}{2}p-2.75+\frac{2}{3}p
=\frac{1}{2}p+\frac{2}{3}p-0.5-2.75
=\frac{7}{6}p-0.5-2.75
=\frac{7p}{6}-0.5-2.75
=\frac{7p}{6}-3.25
=1.16666\dots p-3.25
Step-by-step explanation:
Which of the following describes the graph?
A.
a relation only
B.
neither a function nor a relation
Which of the following describes the graph?
A.
a relation only
B.
neither a function nor a relation
C.
a function only
D.
both a relation and a function
C.
a function only
D.
What Is the slope of a line perpendicular to y=x-6
The slope of a line that is perpendicular to y = x - 6 means that the slope has to be a negative reciprocal of the original slope
That means the slope of the line that is perpendicular to y = x - 6 is '-1'
Hope that helps!
The method of completing the square was used to solve the equation 2x^2 – 12x + 6 = 0. Which equation is a correct step when using this method?
(x - 3)2 = 6
(x – 3)² = 3
(x - 3)2 = -3
Answer:
(x-3)^2 = 3
Step-by-step explanation:
what is the value of x
2/3 x=4
A x=4
B x=6
Answer:
2/3 x=4
x=6
A x=4
x=4/A
B x=6
x=6/B
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Thanks!
Answered by: FieryAnswererGT
#learnwithbrainly
Answer:
B
Step-by-step explanation:
multiply both sides of equation by 3/2
it becomes x=4×3/2
now, we have x=12/2
Simplifying, we have x=6
4 x z =
Answer quick giving brainly Distributive property with variables
Find the factors of 216 p 3 – 125.
Step-by-step explanation:
216p³ - 125
p³ = 125 / 216
p = 5/6
»216p³ - 125
»216p³ = 125
»p³ = 125/216
»p = ³√125/³√216
»p = 5/6✅
If 4 lattes cost 15 dollars how much would 6 caffe lattes cost?
PLEASE HELP
Answer:
The lattes would cost about 22.50
Step-by-step explanation:
In order to figure out how much 6 lattes cost we need to know how much 1 is.
So you take 15 divided by 4 which gets you 3.75
Then you take 3.75 and times it by 6. Getting you the answer of 22.50
Answer:
$22.5
Step-by-step explanation:
It would be 22.5$ because if lattes cost 15$ then we need to find the cost of 1.
To do this by we divide 15 by 4.
3.75
4{15}
-0
___
15
- 12
--------
3 so because there is 3 left of 4 is is .75 because it couldn't make it to 4
so since 1 latte cost 3.75$ we times 3.75 by 6 latte.
Here are 3.75 times numbers 1-6.
3.75 x 3=11.25
3.75 x 4=15
3.75 x 5=18.75
3.75 x 6=22.5 and there's your answer,you get 6 lattes for 22.5$ or 22$ and 50 cents.
Hope it helps have a great day:)
–2 x – 4 > –64 what is the answer to this problem
Answer:
x<30
Step-by-step explanation:
-2x-4> -64
add 4 to both sides
-2x-4+4> -64+4
simplify the arithmetic
-2x> -64+4
-2x>-60
divide both side by -2
When dividing or multiplying by a negative number, always flip the inequality sign
-2x/-2 <-60/-2
Cancel out the negatives:
2x/2<-60/-2
Simplify the fraction:
x<-60/-2
Cancel out the negatives:
x<60/2
Find the greatest common factor of the numerator and denominator:
x<30 . 2 / 1 . 2
Factor out and cancel the greatest common factor:
x<30
Answer: x<30
explanation: Hope this helps :)
(02.02)A rotation is shown in the drawing:
A green dart-shaped figure is shown, labeled Figure X. A curved dotted line shows the rotation around to the left to create a blue dart-shaped figure labeled Figure X prime. The new image is directly to the right of the original.
Which statement best describes the rotation?
A. Clockwise 90-degree rotation
B. Clockwise 270-degree rotation
C. Counterclockwise 90-degree rotation
D .Counterclockwise 270-degree rotation
Answer:
B. Clockwise 270-degree rotation
Answer:
B) Clockwise 270-degree rotation
Step-by-step explanation:
Clockwise motion is in the same direction as a clock's hands: from the top to the right, then down and then to the left, and back up to the top. The opposite motion is counterclockwise.
From inspection of the diagram, we can see that the curved dotted line (which shows the direction of motion) is suggesting a clockwise motion.
SOMEONE PLEASE HELP....
Answer:
Step-by-step explanation:
[tex](3x+4)(x^2+px+5) \\=3x^3+3px^2+15x+4x^2+4px+20\\=3x^3+(3p+4)x^2+(15+4p)x +20[/tex]
since we know that [tex]x^2[/tex] in this expansion is [tex]-23x^{2}[/tex]
thus [tex]3p+4=-23\\3p=-27\\p=-9[/tex]
Hope that helps!
what is the size of the smallest increment shown on a inch tape measure
Answer:
1/16″: There are 16 sixteenth inches in one inch. This is the smallest line you'll find on the ruler. Two sixteenth markings equal one eighth.
Step-by-step explanation:
Answer:
1/16″: There are 16 sixteenth inches in one inch. This is the smallest line you'll find on the ruler. Two sixteenth markings equal one eighth.
Step-by-step explanation:
i do not know this answer
AnswerAnswer:
L=0,0 J= 9, -9 M= 9,0 K= 0,-10
Step-by-step explanation:
If it helped mark me as brainliest!!!
Have a great day!
10
30 (2.-4)
10
A. 5
B. 1
C. -1
D. -5
Answer:
A
Step-by-step explanation:
correct me if I'm wrong
Michelle bought five packs of crayons for $16.25 What is the cost of a pack of crayons, in dollars, if all the packs cost the same?
Answer:
Michelle bought a pack of crayon for $3.25
Step-by-step explanation:
Number of packs = 5
The cost of a pack of crayons =
(Cost of 5 packs of crayon) / (number of packs of crayons)
The cost of a pack of crayons = ($16.25 ) / 5
The cost of a pack of crayons = $3.25
find the point of intersection:
3x=y-2
6x=4-2y
can someone help me or explain how to do this please.
9=v+4/v+12
find the value of v
extra points to brainliest
Answer: v = -13
Step-by-step explanation:
Multiply both sides of the equation by (v+12). On the right side, the (v+12) terms will cancel leaving only (v+4). On the left, we will have 9(v+12). Therefore:
[tex]9(v+12)=v+4[/tex]
Distribute the 9 into the parenthesis to get:
[tex]9v+108=v+4[/tex]
Subtract 'v' on both sides to get:
[tex]8v+108=4[/tex]
Subtract 108 from both sides to get:
[tex]8v=-104[/tex]
Divide both sides by 8 to get:
[tex]v=-13[/tex]
Question 4 of 5
Find the volume of the figure.
7 cm
3 cm
5 cm
O A. 105 cm3
OB. 175 cm3
C. 63 cm3
O D. 315 cm3
Answer:
A
Step-by-step explanation:
because multiply the all the side and it will be 105
Casey constructed this figure by using a compass and a straightedge to draw circle O and diameter PQ. She then used a compass to draw two arcs. She labeled the points where those arcs intersect the circle M and N, and she drew the chords that form the triangle.
If ΔMNP is equilateral, how did Casey draw the arcs that defined points M and N?
A.
She used a compass centered at P with a radius set equal to PQ.
B.
She used a compass centered at O with a radius set equal to PO.
C.
She used a compass centered at Q with a radius set equal to PO.
D.
She used a compass centered at P with a radius set equal to (PQ).
E.
She used a compass centered at Q with a radius set equal to PQ.
Answer:
D) she used a compass at P with a radius set equal to 3/4(PQ)
Step-by-step explanation:
Step 1
She used a compass at P with a radius set equal to 3/4PQ .
Step 2
Since if ∆MNP is equilateral triangle so, PM=PN=MN
Since O is center then PO=OQ
And let R is the mid point of MN.
So, R is also mid point of OQ.
Hence, she used a compass at P with a radius set equal to 3/4(PQ)
I need EXTREME HELP PLEASE
Answer:
8 months
Step-by-step explanation:
194-3m = 217-6m
3m = 23
m=7.666666..... (8 months
What is the equation of the line?
Answer:
y=1/2+2
Step-by-step explanation:
go up 1 and right 2 thats how you get 1/2 also its 2 point above the orgin so its +2
remember y=x+b 1/2 is the x(slope) and 2 is b
Answer:
y = (1/2)x+2
Step-by-step explanation:
See attached image
f(x)=2x−2
g(x) = −2x + 1
Find f(5) • g(3)
Answer:
-40
Step-by-step explanation:
(2(5) - 2) (-2(3) + 1)
(10 - 2) (-6 + 1)
8(-5)
-40
Find the circumference of a circle with a radius of 18 feet. Use 3.14 for i 1,017,36 in None of the above 113.04 in 56.52 in
Answer: The circumference of a circle with radius 18 is 113.1
Step-by-step explanation:
there are 200 students in the 8th grade. 40 students are taking art. What percentage of 8th graders at Euclid Middle School are taking art?
Answer:
20%
Step-by-step explanation:
You find percentage through division, but this one is easier than most since percentages are always out of 100, so 200/2 and 40/2 means 40 is 20% of 200.
It takes a car 1. 75 hours to go from mile marker 10 to mile marker 115. What is the average speed of the car? 1. 6 mph 60 mph 65 mph 183 mph.
The average speed of the car for the entire journey is 60 miles per hour.
What is the average speed?
The average speed is the total distance traveled by the object in a particular time interval.
Given
It takes a car 1. 75 hours to go from mile marker 10 to mile marker 115.
The average speed of the car is given by;
[tex]\rm Average \ speed =\dfrac{Average \ Distance}{Time}\\\\ \rm Average \ speed =\dfrac{115-10}{1.75}\\\\\rm Average \ speed =\dfrac{105}{1.75}\\\\\rm Average \ speed = 60 \ mph[/tex]
Hence, the average speed of the car for the entire journey is 60 miles per hour.
To know more about average speed click the link given below.
https://brainly.com/question/2829799
Can somone pls help me on this (:
Answer:
Step-by-step explanation:
When it comes to mathematical concepts, those tiny numeral superscripts called exponents can intimidate even the most earnest student. One thing that helps stop the anxiety is understanding the importance of exponents in everyday math applications.
5 real-life uses:
pH ScalesWriting Large or Small NumbersTaking MeasurementsRichter ScalesFinancehelp! i dont understand what the question is asking
Answer:
5.9
Step-by-step explanation:
the diameter of circle = 2 the radius of the circle
[tex]< = > 11\frac{4}{5} = 2(z+3.6)\\ < = > \frac{59}{5}=2z + \frac{36}{5}\\ < = > 2z = \frac{23}{5}\\ < = > z=\frac{23}{10}=2\frac{3}{10}[/tex]
ANSWER: z = 2 3/10
Ok done. Thank to me :>
