The number of students who passed with I, II, and III divisions are 35, 70, and 49, respectively.
We have,
Let's denote the number of students who passed with I, II, and III divisions as x, y, and z, respectively.
Given that the total number of students who appeared in the examination is 210, and 56 students failed, we can calculate the number of students who passed:
Number of students who passed = Total students - Number of students who failed
= 210 - 56
= 154
According to the given ratio, the number of students who passed with I, II, and III divisions are in the ratio of 5:10:7.
We can express this ratio in terms of x, y, and z as:
x : y : z = 5 : 10 : 7
To find the actual number of students who passed with I, II, and III divisions, we can set up the following equation based on the ratio:
5k + 10k + 7k = 154
22k = 154
k = 154 / 22
k = 7
Now, we can find the number of students who passed with I, II, and III divisions:
Number of students who passed with I division = 5k = 5 x 7 = 35
Number of students who passed with II division = 10k = 10 x 7 = 70
Number of students who passed with III division = 7k = 7 x 7 = 49
Therefore,
The number of students who passed with I, II, and III divisions are 35, 70, and 49, respectively.
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Line g has a slope of
Line ris parallel to line q. What is the slope of line r?
Simplify your answer and write it as a proper fraction, improper fraction, or integer? Please I need help!!
Answer:
45
Step-by-step explanation:
45
How is 7/8 expressed as a percent
Answer:
Therefore, 7/8 is equal to 87.5 percentage
Step-by-step explanation: brainliest?
Budget
8.) If Peter Gower paid $650 for rent
monthly for an entirely year, how
much should he budget for rent
each month?
Answer:
I
(a) $108.33
(b) $54.17
(c) $7.800
(d) $650
Enter the missing numbers in the boxes to complete the table of equivalent ratios.
? 3
6 9
? 15
12 ?
Please help quick :D
Answer:
2 : 3
6 : 9
10 : 15
12 : 18
Given complete row:
\(\rightarrow 6:9\)
make it in simplest form:
\(\rightarrow 2 : 3\)
\(\rightarrow 1 : 1.5\)
now solve for others:
1st row:
\(\sf \rightarrow \frac{3}{1.5} :3\)
\(\sf \rightarrow 2:3\)
2nd row:
\(\sf \rightarrow 6:9\)
3rd row:
\(\sf \rightarrow \frac{15}{1.5} :15\)
\(\sf \rightarrow 10 :15\)
4th row:
\(\sf \rightarrow 12 : 12*1.5\)
\(\sf \rightarrow 12 :18\)
Answer:
2 : 3
6 : 9
10 : 15
12 : 18
Step-by-step explanation:
Equivalent ratios are ratios that have the same proportion to each other when put in simplest form. Two ratios are considered equivalent if one can be expressed as a multiple of the other.
Therefore, ? : 3 = 6 : 9 = ? : 15 = 12 : ?
Or, ? / 3 = 6 / 9 = ? / 15 = 12 / ?
You have been given one complete ratio: 6 : 9 or 6 / 9
Therefore, from this, you can determine the other equivalent ratios by working out the multiples.
? / 3 = 6 / 9
To get from 3 to 9, the denominator has been multiplied by 3, therefore divide 6 by 3 to find ?
A woman weighing 130 lbs drinks 2 mixed drinks (2 oz of liquor mixed with soda) with
dinner between 7-8 pm. At 10 pm she had a glass of wine.What was her BAC at 8 pm?
Answer:
Step-by-step explanation:
The BAC (Blood Alcohol Concentration) of a person depends on several factors, such as the amount of alcohol consumed, the time over which the alcohol was consumed, and the weight and gender of the person. For this problem, we will assume that the woman has a normal metabolism and that the alcohol is completely absorbed into her bloodstream.
To calculate the BAC at 8 pm, we need to know the amount of alcohol that the woman consumed and the time over which she consumed it. We are given that she had 2 mixed drinks between 7-8 pm, which contained a total of 2 ounces of liquor. We are also given that she had a glass of wine at 10 pm, but we don't need to consider this for the BAC at 8 pm.
Using the Widmark formula, we can calculate the BAC at 8 pm:
BAC = (Alcohol consumed / (Body weight x r)) - (0.015 x Hours since first drink)
where r is the gender constant (0.55 for females) and 0.015 is the rate at which the liver metabolizes alcohol.
Plugging in the values we know, we get:
BAC = (2 oz / (130 lbs x 0.55)) - (0.015 x 1 hour)
BAC = 0.0208 - 0.015
BAC = 0.0058
Therefore, the woman's BAC at 8 pm was approximately 0.0058, which is below the legal limit for driving in most states in the US.
In a network of 30 computers, 4 have a copy of a particularly critical file to sustain an organization's regular operations. Suppose that 9 computers at random fail. What is the probability that all 4 computers with the critical file fail in this incident? (
The probability that all 4 computers with the critical file fail in this incident
P(x=4)=0.00085
This is further explained below.
What is the probability that all 4 computers with the critical file fail in this incident?Generally, is mathematically given as
\($H \rightarrow(n, m)$\)
p.d.F. of Hyper Geometric distribution
given, $N=39, n=4, M=8, x=4$
\(\begin{aligned}P(x=4) &=\frac{8}{4} \frac{39}{39} \\&=\frac{70 \times 1}{82251}\end{aligned}$$\)
\(\begin{aligned}&P(x=4)=8.5106 \times 10^{-4} \\&P(x=4)=0.00085\end{aligned}\)
In conclusion, P(x=4)=0.00085
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A deli wraps its cylindrical containers of hot food items with plastic wrap. The containers have a diameter of 5.5 inches and a height of 3 inches. What is the minimum amount of plastic wrap needed to completely wrap 8 containers? Round your answer to the nearest tenth and approximate using π = 3.14.
51.8 in2
99.3 in2
595.8 in2
794.4 in2
The minimum amount of plastic wrap needed to completely wrap 8 containers is 794. 4 in². Option D
What is the minimum amount?The area of each circular end is:
A = πr²
A = 3.14 × (2.75)²
A = 23.68in²
The area of the rectangular side is:
A = h * circumference
circumference = 5.5in * π
circumference = 17.27in
Using the given height of 3 inches, we get:
A = 3in * 17.27
A = 51.81in²
Therefore, the total surface area of each container is:
A = 2 * 23.68 + 51.81
A = 98.17in²
To wrap 8 containers, we need to multiply the surface area of each container by 8:
Total surface area = 8 × 98.17
Total surface area = 794. 4 in²
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what is the difference between ANOVA and Z-test Hypothesis
The difference between ANOVA and Z-test Hypothesis is the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.
How to determine the differenceThe Z-test becomes possible in the comparison of the mean of a sample to that of the population. It evaluates if there is statistical relevance in the difference between the mean of a sample and the mean of the whole population
In contrast, ANOVA is employed to contrast the averages of three or more separate groups. This assesses if there is a noteworthy distinction in the averages of said groups. The F-statistic in ANOVA is computed by assessing the disparity in variability between groups and the variability within groups.
In a nutshell, the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.
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Which expression is equivalent to 5(2y + 8) − 4y ?
A. 6y + 40
B. 6y + 8
C. 14y + 40
D. 14y + 8
CMON PLEASE ITS TIMED.
Answer:
I also think its A.
Step-by-step explanation:
10y + 40- 4y
(10y-4y)+40
6y+40
Simplify the product using the distributive property
(3h - 5)(5h + 4)
Step-by-step explanation:
(3h - 5)(5h + 4) = 3h * 5h + 3h * 4 - 5*5h - 5 *4
= 15h^2 - 13h -20
\((3h-5)(5h+4)\)
\(=(3h+-5)(5h+4)\)
\(=(3h)(5h)+(3h)(4)+(-5)(5h)+(-5)(4)\)
\(=15h^2+12h-25h-20\)
Answer:
\(\bold{=15h^2-13h-20}\)Please help! im extremely confused
the results of rolling a single die are shown in a table below. find the experimental probability of rolling a 5
number total
1 12
2 16
3 21
4 23
5 18
6 10
Answer:
1/12
Step-by-step explanation:
To find experimental probability you have to solve the Number of times an event occurs / Total number of trials. So since the 5 only appears once and there are 12 numbers, it would be 1/12. Did this help?
The experimental probability of rolling 5 will be 0.18.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
The table is given below:
Number Total
1 12
2 16
3 21
4 23
5 18
6 10
The experimental probability of rolling a 5 is calculated as,
P = 18 / (12 + 16 + 21 + 23 + 18 + 10)
P = 18 / 100
P = 0.18
Thus, the probability is 0.18.
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stop to think 7.3 boxes a and b are sliding to the right across a frictionless table. the hand h is slowing them down. the mass of a is larger than the mass of b. rank in order, from largest to smallest, the horizontal forces on a, b, and h.
Since the boxes are sliding to the right at a constant velocity, the net force acting on each box is zero.
What is equation?An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The LHS and RHS contain mathematical expressions that can include variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and logarithms. Equations are used in many areas of mathematics and science to describe relationships between variables and to solve problems. They can be linear or nonlinear, simple or complex, and may involve one or more variables. The process of finding the values of variables that make an equation true is called solving the equation.
Here,
Therefore, the forces on each box must balance out. Let's consider the forces acting on each box:
Box A: Since it has a larger mass, it requires a larger force to slow down. Therefore, the force exerted by hand H on box A must be larger than the force exerted on box B. We can rank the forces on box A, box B, and hand H as follows:
Force exerted by hand H on box A (largest force)
Force exerted by hand H on box B
Force exerted by box A on hand H
Force exerted by box B on hand H
Force exerted by box A on box B (smallest force)
Box B: Since it has a smaller mass, it requires a smaller force to slow down. Therefore, the force exerted by hand H on box B must be smaller than the force exerted on box A.
Hand H: The forces exerted by box A and box B on hand H are equal and opposite (Newton's third law). Therefore, they cancel each other out and the net force on hand H is zero.
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PLEASE HELPPP! I'LL GIVE BRAINLEST
Answer:
5
----------------
a dilation has center (0,0). Find the image of the point L(-4,0) for the scale factor 7.
The image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).
A dilation with a center of (0,0) and a scale factor of 7 means that every point in the plane will be multiplied by a factor of 7 from the origin.
To find the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7, we can simply multiply the coordinates of L by the scale factor.
The coordinates of the image point L' will be:
L' = (-4 × 7, 0 × 7) = (-28, 0)
Therefore, the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).
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Use the bar graph to find the probability of the event
Not spinning a 1
10+8 you add all the data to get your answer
help me with this pls someone
The probability of 1. Favorite fruit is apple: 25/120 2. Favorite fruit is orange or grapes is 0. 458 3. Favorite fruit is apple and orange is 0.026 4. Favorite fruit is banana is 1/3.
What is probability?Probability is a way to gauge how likely something is to happen. It is stated as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty of the event.
The probability of an occurrence can be determined by dividing the number of possible outcomes by the number of ways the event could occur.
From the given bar graph we see that the total number of fruits are:
25 + 15 + 20 + 40 = 120
Now,
1. Favorite fruit is apple:
25/120
2. Favorite fruit is orange or grapes:
15/120 + 40/120 = 0.125 + 0.333 = 0. 458
3. Favorite fruit is apple and orange:
(25/120) (15/120) = 0.026
4. Favorite fruit is banana:
40/120 = 1/3
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Helpshshdhdgdghseyeydgd
Answer:
To round 17.126 to the nearest tenth consider the hundredths’ value of 17.126, which is 2 and less than 5. Therefore, the tenths value of 17.126 remains 1.
17.126 rounded to the nearest tenth = 17.1
The following table contains starting numbers close to 17.126 rounded to the nearest 10th.
Otto has some whipping cream that is 30%, butterfat, and some milk that is 2%, butterfat. He wants to make a 500 ML mixture of them that is 12%, percent butterfat.
What does point J represent in this context?
CORRECT (SELECTED)
The mixture has more than the intended volume and has the intended percent of butterfat.
Explanation: Point JJJ is on line aaa, so it represents a scenario where the mixture has 12\%12%12, percent butterfat. Also, point JJJ is above line bbb, so it represents a scenario where the mixture has a volume of more than 500 \,\text{mL}500mL500, start text, m, L, end text.
The point J connote that the mixture has more than the expected volume and has the optimal butterfat percentage.
What is the point implying?Note that in the question, it was supplied that Otto intended to make a mixture of 12% butter fat.
Since:
Milk = 2% butter fat
Whipping cream = 30% butter fat.
This implies that the milk contains the smallest of butter fat and it also implies that Otto would require a lot more milk than cream, to be able to attain the 12% mixture.
This is known to be when point J is said to meet, and by using that data from point J, Otto require more of milk than the cream to get what he wants.
Therefore, The point J connote that the mixture has more than the expected volume and has the optimal butterfat percentage.
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use functions f(x) = square root x+1 , g(x) = 2x-5 , and h(x) = 3x^2 - 3 to complete the table
Note that given the above functions, the completed table is given as follows;
x g(h(x))
0 -11
1 7
2 25
3 43
4 85
What is the explanation of the above?To complete the table for g(h(x)), we need to first find the value of h(x) for each value of x in the table, and then substitute that value into the function g(x) to get the corresponding value of g(h(x)).
x h(x) g(h(x))
0 3(0)²-3 g(-3) = 2(-3)-5 = -11
1 3(1)²-3 g(6) = 2(6)-5 = 7
2 3(2)²-3 g(15) = 2(15)-5 = 25
3 3(3)²-3 g(24) = 2(24)-5 = 43
4 3(4)²-3 g(45) = 2(45)-5 = 85
Therefore, the completed table for g(h(x)) is:
x g(h(x))
0 -11
1 7
2 25
3 43
4 85
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Full Question:
Although part of your question is missing, you might be referring to this full question: See the attached table.
plz help... ill give u 20 points
The cross-section of this prism is a square with side length 4 m. What is the surface area of the prism?
(photo attached below.)
The final answer for the surface area of the prism is 32 m^2 + 16h m^2.
To find the surface area of the prism, we need to calculate the area of each face and sum them up.
The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:
Area of square face = side length^2 = 4^2 = 16 m^2
Since there are two square faces, the total area of the square faces is:
Total area of square faces = \(2 * 16 = 32 m^2\)
The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:
Area of rectangular face = length * width = \(4 * h = 4h m^2\)
Since there are four rectangular faces, the total area of the rectangular faces is:
Total area of rectangular faces = \(4 * 4h = 16h m^2\)
Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:
Surface area of prism = Total area of square faces + Total area of rectangular faces
= \(32 m^2 + 16h m^2\)
= \(32 m^2 + 16h m^2\)
The answer for the surface area of the prism is 32 m^2 + 16h m^2.
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Part 1: Draw an example of an isosceles obtuse triangle and a scalene acute triangle Label the sides and angles of each triangle Part 2: A triangle can never be an equilateral obtuse triangle. Why? Part 3: Right triangles appear in many places in the real world Think of a place you see a right triangle in your everyday life Use a measuring tape or a ruler to measure t legs of the triangle. Find the hypotenuse of the triangle using the Pythagorean Theorem.
Part 1:
- In a isosceles obtude triangle, two sides have the same length and one angle is more than 90°.
- In a scalene acute triangle all sides have different lengths and all angles are lower than 90°.
Part 2:
A triangle can never be an equilateral obtuse triangle, because the angle greater tahn 90° demands that the sides of the triangle have different lengths.
Part 3:
The shadow projected by a pencil, the height of the pencil and an imaginary line which connect the tall of the pencil and the edge of the shadow, is an example of a right triangle.
By measuring the length of the pencil and the length of the shadow, you obtain:
c1: length of the pencil = 12 cm
c2: length of the shadow = 15 cm
h: hypotenuse
Use the Pythagorean theorem to find h:
\(\begin{gathered} h=\sqrt[]{c^2_1+c^2_2} \\ h=\sqrt[]{(12cm)^{2}+(15cm)^{2}} \\ h=\sqrt[]{369\operatorname{cm}^{2}}=19.2\operatorname{cm} \end{gathered}\)
Use the function f(x) to answer the questions:
F(x)=2x²-x-10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show
work. (3 points)
Part C: What are the steps you would use to graph fx)? Justify that you can use the answers obtained in Part A and Part B to draw the graph (5 point
PLEASE ANSWER WILL GIVE BRAINLIEST
Answer:
Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:
2x² - x - 10 = 0
To factor this quadratic equation, we look for two numbers that multiply to give -20 and add up to -1 (the coefficient of the x-term). The numbers -5 and 4 satisfy these conditions:
2x² - 5x + 4x - 10 = 0
x(2x - 5) + 2(2x - 5) = 0
(x + 2)(2x - 5) = 0
Setting each factor equal to zero gives us:
x + 2 = 0 or 2x - 5 = 0
Solving these equations, we find:
x = -2 or x = 5/2
Therefore, the x-intercepts of the graph of f(x) are -2 and 5/2.
Part B: To determine whether the vertex of the graph of f(x) is a maximum or minimum, we can look at the coefficient of the x² term. Since the coefficient is positive (2), the parabola opens upwards, and the vertex represents a minimum point.
To find the coordinates of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the x² and x terms, respectively.
In this case, a = 2 and b = -1:
x = -(-1) / (2 * 2) = 1/4
To find the corresponding y-coordinate, we substitute this x-value back into the equation:
f(1/4) = 2(1/4)² - 1/4 - 10
f(1/4) = 1/8 - 1/4 - 10
f(1/4) = -81/8
Therefore, the vertex of the graph of f(x) is a minimum and has coordinates (1/4, -81/8).
Part C: To graph f(x), we can use the information obtained in Part A and Part B.
1. Plot the x-intercepts: Mark -2 and 5/2 on the x-axis.
2. Plot the vertex: Mark (1/4, -81/8) as the lowest point on the graph.
3. Determine additional points: Choose a few more x-values, calculate the corresponding y-values using the equation f(x) = 2x² - x - 10, and plot these points.
4. Draw a smooth curve: Connect the plotted points with a smooth curve, keeping in mind that the parabola opens upward.
Using these steps, you can graph f(x) and accurately represent the x-intercepts, vertex, and overall shape of the parabolic curve.
A number generator was used to simulate the percentage of people in a town who join a health club yearly. The process simulates randomly selecting 100 people from the town and was repeated 20 times. The percentage of people who join a health club yearly is shown in the dot plot. Which statement is most likely true about the population of the town? Most likely, 50% of the people in the town join a health club yearly. Most likely, about 40% to 60% of the people in the town 0 10 20 acer 30 40 50 60 70 80 : 90 100 A number generator was used to simulate the percentage of people in a town who join a health club yearly . The process simulates randomly selecting 100 people from the town and was repeated 20 times . The percentage of people who join a health club yearly is shown in the dot plot . Which statement is most likely true about the population of the town ? Most likely , 50 % of the people in the town join a health club yearly . Most likely , about 40 % to 60 % of the people in the town 0 10 20 acer 30 40 50 60 70 80 : 90 100
The statement that's is likey true about the population of the town is that most likely about 40% to 60% of the people Jon the health club yearly.
How to illustrate the information?It should be noted that a dot plot simply gives a pictorial representation of the information given.
In this case, the population of the town is that most likely about 40% to 60% of the people Jon the health club yearly.
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Answer: Most likely, about 40% to 60 % of the people in the town join a health club yearly.
Step-by-step explanation:
Cual pesa menos marca con una x la casilla correspondiente ?
Las pesas de menor masa son listadas como sigue:
32 hectogramos 80 decigramos 9500 decigramos 90 gramos 5 kilogramos 8500 hectogramos¿Cuál es la pesa de menor masa?
En esta pregunta tenemos seis casos de tres pesas, entre las cuales debemos determinar cuál tiene la menor masa. Esto implica el uso de la conversión entre unidades de masa a una única unica, tal que la pesa de menor capacidad será la de menor cantidad. El procedimiento se resume a continuación:
Convertir las masas a una única unidad.Elegir la masa de menor numeración.Caso 1
32 hectogramos - 3200 gramos
4 kilogramos - 4000 gramos
500 decagramos - 5000 gramos
La pesa de 32 hectogramos reporta la menor masa.
Caso 2
35 gramos
4500 miligramos - 4.5 gramos
80 decigramos - 8 gramos
La pesa de 80 decigramos reporta la menor masa.
Caso 3
9500 decigramos - 950 gramos
6 kilogramos - 6000 gramos
70 hectogramos - 7000 gramos
La pesa de 9500 decigramos reporta la menor masa.
Caso 4
365 decigramos - 3650 gramos
90 gramos
30 decagramos - 300 gramos
La pesa de 90 gramos reporta la menor masa.
Case 5
75 hectogramos - 7500 gramos
5 kilogramos - 5000 gramos
6200 gramos
La pesa de 5 kilogramos reporta la menor masa.
Case 6
8500 hectogramos - 850000 gramos
30 kilogramos - 30000 gramos
900 decagramos - 9000 gramos
La pesa de 8500 hectogramos reporta la menor masa.
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Pls help ASAP
The citizens of a city were asked to choose their favorite pet. The circle graph shows how the citizens answered. If 135,000 citizens answered the question, how
many chose Fish, Cats, or Birds?
Snakes
6%
Hamsters
D
X
5
?
Birds
22%
Cats
239
Answer:
23,7777
Step-by-step explanation:
because 13% died
Find the domain and range of the relation. Also determine whether the relation is a function.
{(6,3), (8,5), (-4,-4), (5,5)}
The domain is:
D: {-4, 5, 6, 8}
The range is:
R: {-4, 3, 5}
And yes, the relation is a function.
How to determine the domain and range?
For a relation that maps elements x into elements y (in the form (x, y)), we define the domain as the set of the inputs (values of x) and the range as the set of the outputs (values of y).
Here our relation is defined by: {(6,3), (8,5), (-4,-4), (5,5)}
The domain is the set of the first values of each pair, so we have:
D: {-4, 5, 6, 8}
The range is the set of the second values of each pair:
R: {-4, 3, 5}
Now, is this a function?
Yes, it is a function, because each input is mapped into only one output.
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solve the next fractions
Answer:
\(-\frac{19}{50}\)
Step-by-step explanation:
\(-\frac{\frac{38}{25} }{4}\)
\(-\frac{38}{25 * 4}\)
\(-\frac{19}{50}\)
Megan has 30 rings. She gave 1/5 of them to her best friend. How many rings does Megan have left?
Answer: 24
Step-by-step explanation:
30/5= 6
30-6= 24
A coin is about to be tossed 50 times. Determine the probability the 8th heads occurs on the 12th toss
Answer:
0.0806
Step-by-step explanation:
From the given information:
Number of toss = 50
The probability of having a head = 1/2 = 0.5
The Probability of 8th head occur on 12th toss can be computed as :
Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)
Pr(8th head occur on 12th toss) = C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5
Pr(8th head occur on 12th toss) = \(\dfrac{11!}{7!(11-7)!}\) × 0.5⁷ × (1 - 0.5)⁴ × 0.5
Pr(8th head occur on 12th toss) = 0.0806
Answer:
The probability of 8th heads,
That is occurred on 12th toss.
Step-by-step explanation:
A coin is tossed 50 times.
There are two possible outcomes of occurring a head or tail.
Probability of occurring head = no.of head/ possible outcomes
= 1/2
Total number of tossing a coin= 50 times
Probability of 8th heads occurs on 12th toss:
12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12
= 12C8 (1/2)8+9+10+11+12
= 12C8 (1/2)50
= 12C8 / 250
= 495 / 1125899906842624
= 4396.48317752 x 10-16
This is the probability of 8th heads,
That is occurred on 12th toss.