3. Who is the French-born Mathematician who proved the first version of the Central Limit Theorem? A. Abraham de Moivre B. Aristotle C. Aleksander Lyapunov D. Rene Descartes
1. 3. Who is the French-born Mathematician who proved the first version of the Central Limit Theorem? A. Abraham de Moivre B. Aristotle C. Aleksander Lyapunov D. Rene Descartes
Answer:
D. Rene Descartes
Step-by-step explanation:
3. Who is the French-born Mathematician who proved the first version of the Central Limit Theorem?
A. Abraham de Moivre
B. Aristotle
C. Aleksander Lyapunov
D. Rene Descartes
2. He was the first person who introduced the word statistik in a preface to a statistical work.Godffried Achenwall or Abraham De Moivre
Answer:
The German Statistik, first introduced by Gottfried Achenwall
3. Define the following.. 1.William Conqueror2.Karl Pearson3.Abraham de Moivre4.Population5.Sample
Answer:
1)William Conqueror-duke of Normandy who led the Norman invasion of England and became the first Norman to be King of England; he defeated Harold II at the battle of Hastings in 1066 and introduced many Norman customs into England
2)Karl Pearson, (born March 27, 1857, London, England—died April 27, 1936, Coldharbour, Surrey), British statistician, leading founder of the modern field of statistics, prominent proponent of eugenics, and influential interpreter of the philosophy and social role of science.
3)Abraham de Moivre was a French mathematician known for de Moivre's formula, a formula that links complex numbers and trigonometry, and for his work on the normal distribution and probability theory. He moved to England at a young age due to the religious persecution of Huguenots in France which began in 1685.
4)A population is the number of organisms of the same species that live in a particular geographic area at the same time, with the capability of interbreeding. For interbreeding to occur, individuals must be able to mate with any other member of a population and produce fertile offspring
Step-by-step explanation:
I'm sorry but I don't know what's that sample. at number 5
Hope it helps :)
#CarryOnLearning
4. Given:AB DFAC DEFDE > ABACProve that, BC FEStatementReason17.18. Given19 DE ABAC19.20.B. Triangle Inequality Theorem 2C. Hinge TheoremD. Property of InequalityB.AC DEC. AC EDFD. LFDE > BACB. Triangle Inequality Theorem 2C. Hinge TheoremD. Property of InequalityB. Triangle Inequality Theorem 2A GivenC. Hinge TheoremD. Property of Inequality
Answer:
17.A
18.B
19.A
20.A
Step-by-step explanation:
pa heart
5. S the T I the F and F an E on the midline theorem
Answer:
segment S is congruent to segment T
segment F is congruent to segment E
6. 2 What theorem below does not belong to the inequality theorems in one triangle?A. Hinge TheoremB. Exterior Angle Inequality TheoremC.Triangle Inequality Theorem 1 (Ss-AaD. Triangle Inequality Theorem 2 (Aa-Spaki ans na din po sa iba kung kaya pa:)
Answer:
2. B.
3.D
4. C
5. A
6. C
7. D
8. B
9. D
10. C
SANA MAKATULONG PO ITO
7. Calculate using the cosine theorem
answer
[tex]\rule{500mm}{1pt}[/tex]
Let's use the theorem of cosines for an angle [tex]\beta[/tex]
[tex]\: \: \: \: \: b^2 = a^2 + c^2 - 2 × a × c × cos\beta \\ [/tex]
Given values:[tex]a=9, \: b=?, \: c=5, \: \beta=30\\\\[/tex]
Substitute the numbers into a formula:
[tex]\: \: \: \: \: b^2 = 9² + 5² - 2 × 9 × 5 × cos(30)°[/tex]
[tex]\: \: \: \: \: b² = 106 - 90 × cos(30)°[/tex]
[tex]\: \: \: \: \: b² = 106 - 77.94[/tex]
[tex]\: \: \: \: \: b² = 28.06[/tex]
[tex]\: \: \: \: \: \green{\orange{\underline{\green{\boxed{b = 53}}}}}[/tex]
[tex]\rule{500mm}{1pt}[/tex]
#CarryOnLearning8. which theorem justifies chloe' s conclusion is no. 8?
Answer:
Select A!
Step-by-step explanation:
Take a look at the picture!
9. Activity 2of statistics.Directions: Give the contribution of the following persons involved in the field.1. Sir Ronald Fisher-2. De Moivre-3. William S. Gosset-4. Karl Pearson-5. Sir Francis Galton-PAHELP
Answer:
Sir Ronald Fisher- Developed statistics for experimented designs.De moivre- Discovered the equation for the normal distribution.William S. Gosset- developed method for decision-making derived from smaller sets of data.Karl Pearson- Developed the theory of regression and correlation Sir Francis Galton- Contributed the application of statistics to heredity and eugenics and his discoveries of percentiles.#CarryOnLearning
#KeepSafe❤️❤️
10. name a postulate or theorem that guarantees that lines k and s are paraller
Answer:
If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. Comparing postulate 10 to postulate 11, what do you notice?21 Oct 2016
11. Which among the following states that if a convex polygon has an n side and S is the sum of the interiorangles, then S = (n - 2)180°?A Exterior Angle TheoremC. Angle TheoremB. Sum of the Interior Angle TheoremD. Triangle TheoremWhat do you mean by S in the formula S=(n-2) 180°?A. sideB. side of polygonC. sum of exterior angles D. sum of interior angles of regular polygon<PA ANSWER PO THANK U>
Answer:
1) c
2.)d
Step-by-step explanation:
Never in my life have I experience such a kind 0f l0ve like this and
12. hope is a kite with diagonals hp and de complete the statements using the theorems on Kite
Answer:
1.HP|= OP
2.A=½_____•EO
3.HO= HE
4.OP= EP
5.<O= <E
Step-by-step explanation:
THAT'S ALL WELCOME
13. Define the following. Write your answer on one whole sheet of paper.1. William Conqueror2. Karl Pearson3. Abraham de Moivre4. Population5. Sample
Answer:
1. The first Norman monarch of England.
2. He has been credited with establishing the discipline of mathematical statistics. He founded the world's first university statistics department and contributed significantly to the field of biometrics and meteorology. Pearson was also a proponent of social Darwinism and eugenics.
3. Abraham de Moivre was a French mathematician known for de Moivre's formula, a formula that links complex numbers and trigonometry, and for his work on the normal distribution and probability theory.
4. A population, in statistics and other areas of mathematics, is a discrete group of people, animals or things that can be identified by at least one common characteristic for the purposes of data collection and analysis.
5. A sample is an outcome of a random experiment.
14. Calculate using the cosine theorem
✏️ANWERSLAW OF COSINES
Problem: Calculate the length of side c. C-120° a 7 b=6
Solution: The oblique triangle has the
given of two sides and an included angle (SAS). Find side c using the law of cosines.
c²= a² + b² - 2ab(cos C)
c²= 72 +62-2(7)(6)(cos 120°)
• c² = 49 + 36 - (-42)
• c² 49 + 36 + 42
• c² = 127
√² = √127
• c = 11.27
C= 11.27 units
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[tex]/ im ZEFTSNOW899 [/tex]
#HOPE It's Help.
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15. Triangle Inequality Theorem 3 (S¹ +S² >S³)
Answer:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
16. What s The Tangent Circle Theorem
Answer:
The tangent theorem states that, a line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency.
17. He discovered the equation of normal curve.a. Ronald Fisher b. Abraham de Moivre c. Karl Pearsond. Carl Gauss
Answer:
B
Explanation:
di ko po sure Kung Ayn po Ang sagot
18. Refer to the figure. If AB ≈ DE, BC ≈ EF and AC ≈ DF, then ∆ABC ≈ ∆DEF by what postulate or theorem?
Answer:
C.SSS CONGRUENCE POSTULATE
Step-by-step explanation:
SANA MAKATULONG
19. use the factor theorem to determine whether is a factor of calculator
go comments
#answer key to solve problems
20. Theorem 8: Formula: AE x DE = BE x CE
Step-by-step explanation:
Hope it help/Sana makatulong
21. true or false hinge theorem is also called as sas inequality theorem
Answer: true
Step-by-step explanation: The converse of the Hinge Theorem, referred to as the SSS Inequality Theorem, is also true. ...
22. The flash is seen running after the train with a mass of 450,000kg moving at 62m/s². A.) Find how much force is acted on the trainB.) Calculate the amount of work he needs to put up with to catch up*Answer with solution plss*. *Use work energy theorem*
A) To find the force acted on the train, we can use Newton's second law of motion:
F = ma
where F is the force, m is the mass of the train, and a is its acceleration.
Plugging in the values, we get:
F = (450,000 kg)(62 m/s²)
F = 27,900,000 N
Therefore, the force acted on the train is 27.9 million Newtons.
B) To calculate the amount of work Flash needs to do to catch up with the train, we can use the work-energy theorem, which states that the work done on an object is equal to its change in kinetic energy:
W = ΔK
where W is the work done, and ΔK is the change in kinetic energy.
The initial kinetic energy of the Flash is zero since he is at rest. The final kinetic energy of the Flash and the train together is:
Kf = (1/2)mv²
where m is the combined mass of the Flash and the train, and v is their final velocity.
Since the Flash catches up with the train, their final velocity is the same, so we can write:
Kf = (1/2)(450,000 kg + Flash's mass)(62 m/s)²
To calculate the work done by the Flash, we subtract the initial kinetic energy from the final kinetic energy:
W = Kf - Ki = (1/2)(450,000
kg + Flash's mass)(62 m/s)² - 0
Simplifying and solving for the work done, we get:
W = (1/2)(450,000 kg + Flash's mass)(62 m/s)²
Therefore, we need to know the mass of the Flash in order to calculate the amount of work he needs to do. Let's assume that the mass of the Flash is 70 kg (which is his typical weight in the comics).
Plugging in the values, we get:
W = (1/2)(450,000 kg + 70 kg)(62 m/s)²
W ≈ 13.4 billion Joules
Therefore, the amount of work Flash needs to do to catch up with the train is approximately 13.4 billion Joules.
back to back haha
23. What is the rational zero theorem of S= 9׳+12×+-2
Is the rational zero theorem of S=6
24. . Which theorem states that the area of a kite is half the product of the lengths of itsS?
Answer:
theorem 11
Step-by-step explanation:
theorem 11: the area of a kite is half the product of the lengths of its diagonals
25. A. Tell whether DE || CB. If so, state the theorem that justify your answer. Answer only #2
Answer:
1. 451 per H
Step-by-step explanation:
sans makatulong
26. the sides of a triangle are r,s and t, with s as the hypotenuse.write the equation that satisfies the Pythagorean theorem
Answer:
[tex]r^{2} +t^{2}=s^{2}[/tex]
Step-by-step explanation:
27. C. HOPE is a kite, with diagonals HP and DE. Complete the following statements using thetheorems on kite.
Answer:
HP | OE
A=½HP•EO
HO = HE
OP = PE
<O = <E
28. Solve for the value of the unknown/s in the following. Tell what theorem/postulate was used
44x+2
2(22×+1)
Step-by-step explanation:
Yan po hope its help
29. calculate using the sine theorem8abb12..29°
[tex]\Large\red{\boxed{ \bold{ \hookrightarrow \: answer:}}} \\ [/tex]
----Lets use the sine theorem:
[tex]\underline{\frac{a}{sin\alpha} = \frac{b}{sin\beta} = \frac{c}{sin\gamma} = 2 \times R}\\[/tex]Substitute the numbers into a formula:
[tex]\frac{12}{sin\alpha} = \frac{8}{sin(29)°}\\\\[/tex][tex]sin\alpha = \frac{sin(29)° \times 12}{8}\\\\[/tex][tex]sin\alpha = 0.73[/tex][tex]\underline{\boxed{\purple{\alpha = 133.4°}}}[/tex][tex]\tiny \colorbox{yellow}{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:}[/tex]
30. __ __ __4. in ∆CAT, if CA=3, AT=5, CT=4, which statement is true?a. m∠C > m∠A b.m∠T > m∠Ac.m∠A > m∠Cd.m∠T > m∠C5. which theorem justifies the statement in number 4?a. exterior angle inequality theoremb. triangle inequality theorem 1 ( Ss→Aa)c. triangle inequality theorem 2 (Aa→Ss)d. triangle inequality theorem 3 (S + S > S ) ¹ ² ³
Answer:
1. a. m∠C > m∠A
2. a. exterior angle inequality theorem
Step-by-step explanation:
