Answer:
Probability means Possibility. It states how likely an event is about to happen. The probability of an event can exist only between 0 and 1 where 0 indicates that event is not going to happen i.e. Impossibility and 1 indicates that it is going to happen for sure i.e. Certainty.
The higher or lesser the probability of an event, the more likely it is that the event will occur or not respectively. For example – An unbiased coin is tossed once. So the total number of outcomes can be 2 only i.e. either “heads” or “tails”. The probability of both outcomes is equal i.e. 50% or 1/2.
□ 1. What is the prime factorization of 15x³y²?
Answer:
3*5*(x^3)*(y^2)
Step-by-step explanation:
Since we don't know what x and y are, we can leave them as they are. Now we just find the prime factorization of 15, which is 3*5.
A model of a ship is built to scale of 1 cm:5 meters.The length of the model ship is 30 cm. What is the actual length of the ship?
Answer:
The actual length of the ship is 150 meters.
Step-by-step explanation:
The scale of the model is 1 cm:5 meters, which means that every 1 cm on the model represents 5 meters on the ship. Since the model ship is 30 cm long, that means it represents 150 meters on the real ship.
(please answer quick, i'm timed!!)
What is the simplest form of StartRoot 1,764 EndRoot?
A] 21
B] 42
C] 3^2(7^2)
D]2^2(3^2)(7^2)
Squares are the results of multiplying a value by itself. The correct option is B.
What is square root?Squares are the results of multiplying a value by itself. Whereas the square root of a number is a value that when multiplied by itself yields the original value. As a result, both are vice versa approaches. For example, the square of 2 is 4 and the square root of 4 is 2.
The number 1764 in the form of prime factors can be written as,
1764 = 2×2×3×3×7×7×1
Therefore,
√1764 = 2×3×7 = 42
Hence, the correct option is B.
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Answer: d}2^2(3^2)(7^2)
Step-by-step explanation: I did the quiz
Using the quadratic formula to solve 5x = 6x²-3, what are the values of x?
Answer:
[tex] \boxed{\sf{x = \frac{5 \pm \sqrt{97} }{12} }}[/tex]
Step-by-step explanation:
[tex]\sf{5x = 6 {x}^{2} - 3 }[/tex]
[tex]\sf{0 = 6 {x}^{2} - 3 - 5x }[/tex]
[tex]\sf{0 = 6 {x}^{2} - 5x - 3 }[/tex]
a = 6b = - 5c = - 3[tex] \sf{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} }[/tex]
[tex]\sf{x = \frac{ - ( - 5) \pm \sqrt{ { - 5}^{2} - 4(6)( - 3)} }{2(6)} }[/tex]
[tex]\sf{x = \frac{5 \pm \sqrt{ 25 + 72} }{12} }[/tex]
[tex]\sf{x = \frac{5 \pm \sqrt{97} }{12} }[/tex]
simplify \sqrt{50} for maths please quick
Hello,
[tex] \sqrt{50} = \sqrt{2 \times 25} = \sqrt{2 \times 5 {}^{2} } = 5 \sqrt{2} [/tex]
4. Verbal
Explain how to find a line parallel to a linear function that passes through a given point.
Answer:
The required line can be found by substituting the slope and the given point in the slope intercept form of a line and is given by y=mx+c, where m is the slope and c is the y intercept.
Step-by-step explanation:
In the given question, it is given that a linear function passes through a given point.It is required to find a line parallel to the function.When two functions are parallel, their slopes are equal.Thus, substitute the slope and the given point in the slope intercept form of a line and is given by y=mx+c, where m is the slope and c is the y intercept.The equation of a parallel line to a linear function that passes through a point can be explained using the examples below.
We have,
The parallel line to a linear function that passes through a point can be explained using the examples below.
Example:
Let's find a line parallel to the linear function y = 3x - 2 that passes through the point (2, 5).
Step 1: Given linear function and point
Linear function: y = 3x - 2
Point: (2, 5)
Step 2: Determine the slope of the given linear function
The slope (m) of the given function y = 3x - 2 is 3.
Step 3: Use the slope to find the equation of the parallel line
Since the parallel line has the same slope (3), its equation will be
y = 3x + b, where "b" is the y-intercept that we need to find.
Step 4: Substitute the coordinates of the given point into the equation of the parallel line
Using the coordinates (2, 5) of the given point, we can solve for "b":
5 = 3(2) + b
5 = 6 + b
b = 5 - 6
b = -1
So, the equation of the line parallel to y = 3x - 2 and passing through the point (2, 5) is:
y = 3x - 1.
Thus,
The equation of a parallel line to a linear function that passes through a point can be explained using the examples above.
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helllppppppppppp please
The equation of the line with a slope of -3 and passing through the point (3, 16) is y = -3x + 25
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The equation of a line is:
y = mx + b
Where m is the slope and b is the y intercept.
Given that the line has a slope of -3 and passes through (3, 16), hence:
y - 16 = -3(x - 3)
y = -3x + 25
The equation of the line with a slope of -3 and passing through the point (3, 16) is y = -3x + 25
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HALP
x =x=x, equals
^\circ
∘
Answer:
90°+x = 180°(angles on a straight line)x=180°-90°x=90°THERE ARE A LOT OF WAYS TO WORK THE ANSWER OUT BUT THAT ONE IS SIMPLE AND EASY TO UNDERSTANDStep-by-step explanation:
HOPE THIS HELPS!!A certain test is designed to measure the satisfaction of an individual with his/her relationship. Suppose that the scores on this test are approximately normally distributed with a mean of 60 and a standard deviation of 8. An individual with a score of 50 or less is considered dissatisfied with his/her relationship. According to this criterion, what proportion of people in relationships are dissatisfied? Round your answer to at least four decimal places.
The probability that an individual will score of 50 or less is 0.06.
Given mean of 60 and standard deviation of 8.
We have to find the probability that individual will score 50or less.
Probability is the chance of happening an event among all the events possible. The probability lies between 0 and 1. The formula to calculate probability is as under:
Probability = number of items/total items.
We have to first find the z value from 50 to 60 which can be found as under:
z value=(50-60)/60
=-0.167
P value from 50 to 60 is 0.44
probability that the individual will score 50 or less is 0.5-0.44
=0.06
Hence the probability that the individual will score 50 or less is 0.06.
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WILL GIVE BRAINLIEST IF YOU HELP MEE
Answer: A: Whole Number B:Integer and C: Rational are all correct.
For the question: In the figure, AB is divided into equal parts. The coordinates of point A are (2, 4), and the coordinates of point B are (10, 6). Match each pair of coordinates to the corresponding point on AB.
Answer:The coordinates of the point are (6 , 5).
For the question: Imani and Abedi drive to work. Imani drives 66 miles in 1.5 hours. Abedi drives 56 km in 1 hour 15 min. Work out the difference between their average speeds in km/h. 1 mile = 1.6 km
Answer:25.6 km/h
I couldn't help you on all of them, but I helped you on some. Hope this helps :D
Ms. johnson uses a statistics program to analyze all the data collected by her students during a lab experiment about acceleration due to gravity. the program reports =31.5 and . what is the variance of the data? round to the nearest tenth.
Since the variance is the square of the standard deviation, the variance here is 6.3.
A commonly used measure of dispersion is the standard deviation, which is simply the square root of the variance. Therefore, we just raise the standard deviation to the power of 2 to get the answer. We do as follows:
s = √v
(2.5)² = (√v)²
v = 6.25 = 6.3
So, Since the variance is the square of the standard deviation, the variance here is 6.3.
DISCLAIMER: The question was incomplete. Please find the full content below.
Question
Ms. Johnson uses a statistics program to analyze all the data collected by her students during a lab experiment about the acceleration due to gravity. The program reports a mean of 31.5 and a standard deviation of 2.5. What is the variance of the data?
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Answer: D). 6.3
Step-by-step explanation:
I need the answer please work out this tough question for me
Answer:
56
Step-by-step explanation:
Let N be the total number of spins.
Probability of A on Red and B on Red = 0.5 x 0 .6 = 0.3 (top branch of tree)
Therefore with N spins, the estimated number of times spinner A and spinner B land on red is 0.3N and we are given this as 84
So 0.3N = 84
N = 84/0/3 = 280
The probability of spinner A on blue and spinner B on blue is 0.5 x 0.4 = 0.2 (lowest branch of tree)
For 280 spins, the estimated number of times that both spinners land on blue is given by 0.2 x 280 = 56
Amy simplified this complex fraction problem.
Negative 2 and one-half divided by five-fourths = Negative five-halves divided by five-fourths = negative five-halves (five-fourths) = negative StartFraction 10 over 8 EndFraction. The quotient is negative five-fourths.
What errors did Amy make? Select all that apply.
Reciprocal the second fraction and perform multiplication instead addition.
What is fraction?
A number expressed as a quotient, in which a numerator is divided by a denominator.
Given:
Negative 2 and one-half divided by five-fourths = Negative five-halves divided by five-fourths = negative five-halves (five-fourths) = negative StartFraction 10 over 8 EndFraction.
As we see the calculations there is mistake which had amy made.
Amy should have reciprocal the second fraction before multiplication. As division is now allowed in fraction.
Also, She perform addition instead of multiplication.
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a parabola passes through the points (2,8), (6,2), and (8,8). what is the x-coordinate of its vertex?
a) 4
b) 5
c) 7
d) cannot be determined
The x-value of the vertex of the given parabola is x = 5, so the correct option is b.
How to get the x-value of the vertex?
If we define the parabola by f(x), by looking at the table, we can read:
f(2) = 8f(6) = 2f(8) = 8So, notice that:
f(2) = f(8).
Then the x-coordinate of the vertex is the midpoint between 2 and 8.
x = (2 + 8)/2 = 5
The x-value of the vertex of the given parabola is x = 5, so the correct option is b.
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If sec x° = five thirds, what is the value of b? triangle lmn in which angle m measures 90 degrees, angle l measures x degrees, ln measures 20 units, and lm measures 3b units b = 4 b = 5 b = 6 b = 7
The correct answer is, b=4.
Given Information and To Find
It is given that in a right angled-triangle lmn,
∠m = 90°
∠l = x°
ln = 20 units
lm = 3b units
[tex]secx = \frac{5}{3}[/tex]
We have to find the value of b.
What is a right-angled triangle?
A right triangle is a triangle in which one of the angles is at a right angle or two of the sides are perpendicular, or more formally, an orthogonal triangle, formerly known as a right-angled triangle. Trigonometry's fundamental concept is the relationship between a right triangle's sides and other angles.
Applying Trigonometry
We know that in a right angled-triangle,
[tex]sec x=\frac{hypotenuse}{base}[/tex]
In this case, we have (refer to the diagram),
[tex]secx=\frac{ln}{lm}[/tex]
⇒ [tex]\frac{20}{3b} = \frac{5}{3}[/tex]
⇒ [tex]20(3) = 3b(5)[/tex]
⇒ [tex]15b = 60[/tex]
⇒ [tex]b=4[/tex]
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Scores on a graduate school entrance exam follow a normal distribution with a mean of 560 and a standard deviation of 90. What is the probability that a randomly chosen test taker will score between 490 and 560
[tex]P(490 < X < 560)[/tex]= 0.3133
Given: μ = 560
σ = 90
To find: P (490 < X < 560)
Normal distributions are symmetric, unimodal, and asymptotic. A normal distribution is determined by two parameters the mean and the variance. A normal distribution with a mean of 0 and a standard deviation of 1 is called a standard normal distribution. It's always easy to solve questions in terms to standard normal
Hence, converting normal distribution to standard normal gives:
P(490 < X < 560) = [tex]P(\frac{560-560}{90}[/tex]≤ [tex]\frac{X-\mu}{\sigma} < \frac{640-560}{90})[/tex]
= P(0 ≤ Z < 0.888)
= P (z<0.89) - P(z ≤ 0)
Using standard normal table,
= 0.8133 - 0.5
P(490 < X < 560) = 0.3133
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Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Answer:
-3
Step-by-step explanation:
Define two points on the line:
[tex]\textsf{let}\:(x_1,y_1)=(0,4)[/tex][tex]\textsf{let}\:(x_2,y_2)=(2,-2)[/tex]Substitute the defined points into the slope formula and solve for m:
[tex]\begin{aligned} \textsf{slope}\:(m) & = \dfrac{y_2-y_1}{x_2-x_1}\\\\ \implies m & =\dfrac{-2-4}{2-0}\\\\ & =\dfrac{-6}{2}\\\\ & =-3\end{aligned}[/tex]
Therefore the slope of the given line is -3.
A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, find the probability that a blue marble will be drawn. a. One-third c. StartFraction 1 Over 7 EndFraction b. StartFraction 1 Over 11 EndFraction d. StartFraction 3 Over 14 EndFraction Please select the best answer from the choices provided A B C D
The probability of selecting a blue marble is 3/14. Hence, option D is the right choice.
The probability of any event is the chance of the occurrence of that event. It is given as the ratio of the number of favorable outcomes to the event to the total number of outcomes possible in the experiment.
If we consider an event A, the number of favorable outcomes to event A be n, and the total number of outcomes be S, then the probability of event A is given as:
P(A) = n/S.
Let us take the event of selecting a blue marble from the experiment of selecting a marble randomly from the bag be A.
The number of outcomes favorable to event A (n) = 3 {3 blue marbles}.
The total number of outcomes (S) = 14 {Total number of marbles in the bag = 4 red + 3 blue + 7 green = 14 marbles}.
Therefore, the probability of selecting a blue marble is,
P(A) = n/S = 3/14.
Hence, option D is the right choice.
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An urn contains two red and three yellow balls. Two balls are selected randomly without replacement. What is the probability that both are yellow
The probability that both are yellow is 3/10.
Using the probability method, we get
P(y1 and y2) = P(y1) P(y2|y1)
= 3/5 x 2/4
= 6 / 20
= 3 / 10
The probability that both are yellow is 3/10.
Probability is sincerely how in all likelihood something is to manifest. each time we're uncertain approximately the final results of an occasion, we will speak about the possibilities of sure effects—how probably they're. The analysis of activities ruled by using possibility is known as statistics.
A series of actions where the outcomes are continually unsure. The tossing of a coin, selecting a card from a deck of playing cards, throwing a dice. occasion. It is a single final result of an experiment.
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A moving company sells boxes for packing items. the large box has a volume of 6x^2+2x+3 cubic units. the medium box has a volume of 2x^2-5 cubic units. a customer purchases two large boxes and one medium box. what is the total volume of the purchased boxes?
The total volume of the purchased boxes is 14x^2+4x+1
Sum of polynomialsGiven the following parameters
Volume of a large box = 6x^2+2x+3 cubic units
Volume of medium = 2x^2-5 cubic units.
If a customer purchases two large boxes and one medium box, the total volume is expressed as:
Total volume = 2(6x^2+2x+3) + 2x^2-5
Expand
Total volume = 12x^2+4x+6+2x^2-5
Total volume = 14x^2+4x+1
Hence the total volume of the purchased boxes is 14x^2+4x+1
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A bag contains 75 marbles some red some blue the ratio of red marbles to blue marbles is 3 to 2 how many red marbles are there
Answer: 45 red marbles
Step-by-step explanation:
Using the ratios, we can create a fraction for the number of marbles.
3/5 of the bag would be red marbles, and 2/5 of the bag would be blue marbles.
(you get the 5 from adding 3+2 together)
If you take 3/5 of 75, you would get 45 red marbles.
Need help not good at math what so ever.
A triangle is a plane figure which has three sides and angles. Thus the sum of internal angles of a triangle is [tex]180^{o}[/tex]. Thus the answers to the missing values are:
7. x = [tex]108^{o}[/tex]
8. x = [tex]133^{o}[/tex]
9. x = [tex]124^{o}[/tex]
10. x = [tex]62^{o}[/tex]
11. x = [tex]74^{o}[/tex]
12. x = [tex]77^{o}[/tex]
13. a = [tex]35^{o}[/tex]
14. b = [tex]74^{o}[/tex]
15. c = [tex]66^{o}[/tex]
The sum of the internal angles of a triangle is [tex]180^{o}[/tex]. Thus in a given question, the required value for each missing value is:
7. Let the unknown inter nal angle ne represented by r, so that;
70 + 38 + r = [tex]180^{o}[/tex]
r = [tex]180^{o}[/tex] - 108
r = 72
So that,
x + a = [tex]180^{o}[/tex] (sum of angles on a staight line)
72 + a = [tex]180^{o}[/tex]
a = [tex]180^{o}[/tex] - 72
= [tex]108^{o}[/tex]
a = [tex]108^{o}[/tex]
8. x = 39 + 94 (Sum of two opposite interior angles is equal to an exterior angle)
x = [tex]133^{o}[/tex]
9. x = 43 + 81 (Sum of two opposite interior angles is equal to an exterior angle)
x = [tex]124^{o}[/tex]
10. x + 19 = 81 (Sum of two opposite interior angles is equal to an exterior angle)
x = 81 - 19
x = [tex]62^{o}[/tex]
11. 41 + x = 115 (Sum of two opposite interior angles is equal to an exterior angle)
x = 115 - 41
x = [tex]74^{o}[/tex]
12. x = 41 + 36 (Sum of two opposite interior angles is equal to an exterior angle)
x = [tex]77^{o}[/tex]
13. 33 + 112 + a = [tex]180^{o}[/tex] (sum of angles on a staight line)
a = [tex]180^{o}[/tex] - 145
= [tex]35^{o}[/tex]
14. b + 71 + a = [tex]180^{o}[/tex] (sum of angles on a staight line)
b = [tex]180^{o}[/tex] - 106
b = [tex]74^{o}[/tex]
15. c + 71 + 43 = [tex]180^{o}[/tex] (sum of angles on a staight line)
c = [tex]180^{o}[/tex] - 114
c = [tex]66^{o}[/tex]
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2a. A quarterback throws a football from a position that is 10 yards from the goal line and 15 yards from the sideline. His receiver catches it at a position that is 50 yards from the same goal line and 5 yards from the same sideline. Find the distance of the throw.
2b. Explain how you created the two points in order to find the distance.
The calculated distance of this throw is given as 41.23 meters.
How to solve for the distance of the throw.
In order to solve for this, we have to make use of the formula for calculating distance.
This is given as:
[tex]\sqrt{(x^{2}-x^{1} ) } (y^{2} -y^{1} )[/tex]
This is substituted as
sqr(50-10)²+(5-15)²
= √40² +√ -10²
= √1700
= 41.23
b. The points were created to find the distance by making use of yards from the goals and the yards from the sidelines.
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On a coordinate plane, a curved line with a minimum value of (negative 1.25, negative 3.25) and a maximum value of (0.25, negative 1.75), crosses the x-axis at (negative 2.25, 0), and crosses the y-axis at (0, negative 2). The line exits the plane at (negative 2.75, 6) and (1.5, 6).
Which statement is true about the end behavior of the graphed function?
As the x-values go to positive infinity, the function's values go to negative infinity.
As the x-values go to zero, the function's values go to positive infinity.
As the x-values go to negative infinity, the function's values are equal to zero.
As the x-values go to positive infinity, the function's values go to positive infinity.
The statement which is true about the end behavior of the graphed function is third option that is as the x-values go to negative infinity, the function's values are equal to zero.
A coordinate plane is a two dimensional plane formed by the intersection of two number lines . One of these number lines is a horizontal number lines called the x-axis and the other number line is a vertical number line called the y-axis.
The exact answer is third option that is as the x-values go to negative infinity, the function's values are equal to zero.
Step by step explanation:
Minimum value (negative 1.25, negative 3.25)
Maximum value of (0.25, negative 1.75)
The x intercepts where the graph crosses the x axis.
Value of x when y=0 crosses x axis at (negative 2.25, 0)
The y intercept are where the graph crosses the y axis.
Value of y when x=0 crosses y axis at (0, negative 2)
The line exits the plane at (negative 2.75, 6) and (1.5, 6).
It can be seen from the coordinates that as the x-values go to negative infinity, the function's values are equal to zero, the coordinates of y approaches zero.
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Answer:
D
Step-by-step explanation:
What term best describes 3x + 5?
Answer:
algebric expression
Answer:
Binomial
Step-by-step explanation:
Comment
Answer: Two terms make up the expression you are given (3x + 5) ).
When two terms are on either side of an isolated plus (or minus) sign, then the expression is called a Binomial.
Hey guys- need help in this one
Answer:
c
Step-by-step explanation:
[tex]x=5+i\sqrt{7} , y = 5-i\sqrt{7}\\ x^2-2xy+y^2=(x-y)^2\\ (x-y)^2=(2i\sqrt{7} )^2\\4.i^2.7\\-28[/tex]
Answer:
c
Step-by-step explanation:
given x = 5 + i[tex]\sqrt{7}[/tex] then y = 5 - i[tex]\sqrt{7}[/tex]
x² - 2xy + y² ← is a perfect square
= (x - y)² ← substitute values for x and y
= (5 + i[tex]\sqrt{7}[/tex] - (5 - i[tex]\sqrt{7}[/tex] )²
= (5 + i[tex]\sqrt{7}[/tex] - 5 + i[tex]\sqrt{7}[/tex] )²
= (2i[tex]\sqrt{7}[/tex] )²
= 2² × i² × ([tex]\sqrt{7}[/tex] )²
= 4 × - 1 × 7
= - 28
Solve the system, enter the smallest x coordinate first
The solutions to the system of equations are given as follows: (1, -3) and (-4,2).
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The equations are given as follows:
(x + 3)² + (y + 2)² = 17.x + y = -2.From the second equation:
y = -2 - x.
Replacing in the first:
(x + 3)² + (y + 2)² = 17.
(x + 3)² + (-2 - x + 2)² = 17
x² + 6x + 9 + x² = 17
2x² + 6x - 8 = 0
2(x² + 3x - 4) = 0
2(x + 4)(x - 1) = 0.
Then the solutions for x are:
x + 4 = 0 -> x = -4.x - 1 = 0 -> x = 1.The solutions for y are:
When x = 1, y = -2 - 1 = -3.When x = -4, y = -2 -(-4) = 2.Hence the solutions are:
(1, -3) and (-4,2).
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identify the domain of the function shown in the graph
0
x is all real numbers
Using it's concept, the domain of the square root function shown in the graph is:
[tex]x \geq 0[/tex]
What is the domain of a function?The domain of a function is the set that contains all possible input values for the function. In a graph, the domain is the set that contains the values of x.
Researching the problem on the internet, the graph is of the square root function, defined for [tex]x \geq 0[/tex], which is the domain of the function.
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It is claimed that the mean age of bus drivers in chicago is 50. 2 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?.
The result to reject the null hypothesis can be interpreted as follows,
There is sufficient evidence to disprove the claim μ = 50.2
What is a null hypothesis?
A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations. Using sample data, hypothesis testing is performed to judge a theory' veracity. It is sometimes referred to as just "the null," and its symbol is H0.
To determine if a theory regarding markets, investing methods, or economies is correct or wrong, quantitative analysts perform a hypothesis testing and employ the null hypothesis, often known as the conjecture. Any variation between the selected attributes that you observe in a collection of data is thought to be the result of chance, according to the null hypothesis.
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prime factorization of 90