The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answers
Answer:
-4,-2,2
Step-by-step explanation:
look where line reaches zero
Related Questions
I need to know the steps to solve this.
Answers
The Constraints of the inequality are
x ≤ 2y + 500
22500 < √ 35x + 50y
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
The Company A (x) at most 500 more than twice then unit by B(y).
So, x ≤ 2y + 500
Now, the square of Company Profit will be equal to 35x + 50y
Then, the constraints will be
1. x ≤ 2y + 500
2. Company Profit² < 35x + 50y
Company Profit < √ 35x + 50y
22500 < √ 35x + 50y
Learn more about Inequality here:
https://brainly.com/question/28823603
#SPJ1
I need to know the andwer to 0.03 divided by 0.81 in division of decimals
Answers
Answer: 0.0370 (Italic part repeats forever)
Step-by-step explanation:
Answer: 0.037...
Step-by-step explanation:
(Help me please)
Lin and Noah are packing small cubes into a cube with an edge length of 1½ inches. Lin is using cubes with an edge length of ½ inch, and Noah is using cubes with an edge length of ¼ inch. Who would need more cubes to fill the 1 1/2 inch cube? Show how you know
Answers
Noah needs 108 cubes which is 4 times more than Lin's 27 cubes.
Noah would need more cubes to fill the 1 1/2 inch cube because the cubes he is using have a smaller edge length than the cubes Lin is using. The larger the edge length of the cubes being used, the fewer number of cubes needed to fill a given space.
To see this, you can calculate the volume of the cube being filled by both Lin and Noah. The cube that Lin is filling has a volume of (1.5)^3 = 3.375 cubic inches. The cubes Lin is using have a volume of (0.5)^3 = 0.125 cubic inches. So, Lin needs 3.375/0.125 = 27 cubes to fill the 1.5 inch cube.
The cube that Noah is filling also has a volume of (1.5)^3 = 3.375 cubic inches. The cubes Noah is using have a volume of (0.25)^3 = 0.03125 cubic inches. So, Noah needs 3.375/0.03125 = 108 cubes to fill the 1.5 inch cube.
As we can see, Noah needs 108 cubes which is 4 times more than Lin's 27 cubes.
For more information about cubes visit: brainly.com/question/28134860
#SPJ4
An achievement exam was given to a population of 1,000 students. However, a sample of only seven of student scores is listed along with their respective z score and percentile rank in the following table. TEST SCORE 42 57 67 72 77 87 97 z score -1.50 -0.75 -0.25 0 0.25 0.75 1.25 percentile rank 10 25 30 45 50 75 95 Using the table information, the test score representing the 3rd decile is: a. 67 b. 77 c. 57 d. 72 e. 97
Answers
The test score representing the 3rd decile is 67. So the option a is correct.
In the given question, an achievement exam was given to a population of 1,000 students.
However, a sample of only seven of student scores is listed along with their respective z score and percentile rank in the following table.
TEST SCORE 42 57 67 72 77 87 97
z score -1.50 -0.75 -0.25 0 0.25 0.75 1.25
percentile rank 10 25 30 45 50 75 95
Using the table information, we have to find the test score representing the 3rd decile.
As we know that the 3rd decile is equal to the 30th percentile.
So that the 3rd decile have the percentile rank = 30
The test score equivalent to percentile rank 30 is 67.
So, the test score representing the 3rd decile is 67. So the option a is correct.
To learn more about percentile rank link is here
brainly.com/question/27872151
#SPJ4
On a coordinate plane, a line goes through (negative 12, negative 2) and (0, negative 4). A point is at (0, 6).Which point is on the line that passes through (0, 6) and is parallel to the given line? (–12, 8) (–6, 6) (2, 8) (6, 0)
Answers
Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Since, We know that;
Parallel lines have same slopes and different y-intercepts
The formula of the slope of a line which passes through points (x₁ , y₁) and (x₂, y₂) is,
⇒ m = (y₂ - y₁) / (x₂ - x₁)
Since, The given line passes through points (-12 , -2) and (0 , -4)
Hence, Use the formula of the slope above to find the slope of the given line as;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (-4 - (-2)) / (0 - (-12))
⇒ m = (-2) / 12
⇒ m = - 1/6
Since, The two lines are parallel.
Hence, Their slopes are equal
So, The slope of the parallel line = - 1/6
Here, The parallel line passes through point (0 , 6)
Since, The form of the linear equation is y = mx + b, where m is the slope and b is the y-intercept.
⇒ m = -1/6 and b = 6
Hence, The equation of the parallel line is,
⇒ y = x + 6
Now, Let us check which point is on the line by substitute the x in the equation by the x-coordinate of each point to find y, if y is equal the y-coordinate of the point, then the point is on the line as;
Point (-12 , 8)
Substitute x = -12 and y = 8
⇒ y = (-12) + 6
⇒ y = 2 + 6 = 8
Clearly, The value of y is equal the y-coordinate of the point.
So, Point (-12 , 8) is on the line.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ1
The local Dairy Queen sells four
cheeseburgers and two milkshakes for $7.90.
If two milkshakes cost $0.15 than a
cheeseburger, what is the cost of a milkshake?
Answers
While two milkshakes are cheaper by $0.15 than a cheeseburger, a cheeseburger costs $1.55 and costs $.85.
what is an equation ?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. The three main types of linear equations are the slope-intercept form, standard form, and point-slope form. A straightforward equation shows the connection between two terms on either side of an equal sign. Additionally, simple equations incorporate one or more of the addition, subtraction, multiplication, and division arithmetic operations.
given
Let a = the cost in cents of a cheeseburger
Let b = the cost in cents of a shake
4a+2b=7 .90
2b=a+15
-a+2b=15
Subtract (2) from (1)
4a+2b=7 .90
a-2b=-15
5a=775
a=155
2b=a+15
b=170/2
b=85
While two milkshakes are cheaper by $0.15 than a cheeseburger, a cheeseburger costs $1.55 and costs $.85.
To know more about equation visit :-
https://brainly.com/question/29657983
#SPJ1
This year’s favorite to win the frog jumping event is Newton. The objective is to take the longest jumps and stop as close as possible to 120 steps. Pythagoras and Fermat are Newton’s toughest competition. ● Newton takes 4 jumps and falls short of the mark by 4 steps. ● Pythagoras takes 5 jumps and overshoots the mark by 5 steps. ● Fermat hits the mark exactly after 6 jumps. How long, in steps, is each frog’s jump?
Answers
The length of jump by Pythagoras = 25 units
The length of jump by Newton = 29 units
The length of jump by Fermat = 20 units
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the length of the jump by Pythagoras be P
Let the length of the jump by Newton be N
Let the length of the jump by Fermat be F
Now , the equation will be
The total number of steps = 120 steps
The number of jumps by Pythagoras = 5 jumps
The number of steps overshoot by Pythagoras = 5 steps
So , P ( 5 ) - 5 = 120 be equation (1)
On simplifying the equation , we get
Adding 5 on both sides of the equation , we get
5P = 125
Divide by 5 on both sides of the equation , we get
P = 25 units
The number of jumps by Newton = 4 jumps
The number of steps fell short by Newton = 4 steps
So , N ( 4 ) + 4 = 120 be equation (2)
On simplifying the equation , we get
Subtracting 4 on both sides of the equation , we get
4N = 116
Divide by 4 on both sides of the equation , we get
N = 29 units
The number of jumps by Fermat = 6 jumps
So , F ( 6 ) = 120 be equation (2)
On simplifying the equation , we get
Divide by 6 on both sides of the equation , we get
F = 20 units
Therefore , the value of P , N and F are 25 , 29 and 20 units respectively
Hence , the length of each jump is 25 , 29 and 20 units
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Equivalent fractions for 1 3/4 and 1 4/5 using 20 as the common denominator
Answers
Answer:
35/20 and 36/20
Step-by-step explanation:
Evaluate 5c+cd5c+cd5, c, plus, c, d when c=\dfrac15c=
5
1
c, equals, start fraction, 1, divided by, 5, end fraction and d=15d=15
Answers
Answer:
the value is 4
Step-by-step explanation:
You have 50 coin that worth $8. 25. You have dime, quarter and nickel. The number of quarter i 5 more than twice the number of nickel. How many dime, quarter and nickel do you have individually
Answers
d + q + n = 50
0.1d + 0.25q + 0.05n = 8.25
q = 2n + 5
Substitute q into both equations
d + (2n + 5) + n = 50
d + 3n + 5 = 50
d + 3n = 45
0.1d + 0.25(2n + 5) + 0.05n = 8.25
0.1d + 0.5n + 1.25 + 0.05n = 8.25
0.1d + 0.55n = 7
Solve for d to find n
d + 3n = 45
d = -3n + 45
0.1(-3n + 45) + 0.55n = 7
-0.3n + 4.5 + 0.55n = 7
0.25n = 2.5
n = 10
10 nickels
d + 3n = 45
d + 3(10) = 45
d + 30 = 45
d = 15
15 dimes
d + q + n = 50
15 + q + 10 = 50
q + 25 = 50
q = 25
25 quarters
Check:
0.1d + 0.25q + 0.05n = 8.25
0.1(15) + 0.25(25) + 0.05(10) = 8.25
1.5 + 6.25 + 0.5 = 8.25
8.25 = 8.25 :)
A water desalination plant can produce 2.8 * 10 to the power of 6 gallons of water in one day. How many gallons can it produce in 5 days?
Answers
Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.
What is the difference between factors and multiplies?A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.
Here,
So if there was 5 days, it would produce 5 times the amount above.
So 5 × (2.8 × 10⁶) = 14 × 10⁶
We must rewrite in scientific notation, so:
14 x 10⁶ = 1.4 x 10⁷
To learn more about multiplication factor visit:
brainly.com/question/7203399
#SPJ1
Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.
What is the difference between factors and multiplies?A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.
Here,
So if there was 5 days, it would produce 5 times the amount above.
So 5 × (2.8 × 10⁶) = 14 × 10⁶
We must rewrite in scientific notation, so:
14 x 10⁶ = 1.4 x 10⁷
To learn more about multiplication factor visit:
https://brainly.com/question/12344287
#SPJ1
What is an equation of the line that passes through the point (-5,7) and is parallel to the line x-5y=15?
Answers
Answer: An equation of a line that is parallel to another line has the same slope as the original line. The slope of a line can be found by rearranging the equation of the line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept (the point at which the line crosses the y-axis).
To find the equation of a line that is parallel to the line x - 5y = 15 and passes through the point (-5,7), we can first rearrange the equation of the original line in slope-intercept form:
x - 5y = 15
y = (1/5)x - 3
The slope of this line is (1/5). To find an equation of a line that is parallel to this line and passes through the point (-5,7), we can use the point-slope form of a line:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope of the line.
Substituting in the values given in the question, we get:
y - 7 = (1/5)(x - (-5))
y - 7 = (1/5)x + 1
y = (1/5)x + 1 + 7
y = (1/5)x + 8
Therefore, the equation of the line that is parallel to the line x - 5y = 15 and passes through the point (-5,7) is y = (1/5)x + 8.
Step-by-step explanation:
Rewrite the expression (2t+6)+7t in the simplest form show your work.
Answers
Answer:
14t²+42t
Step-by-step explanation:
So you're basically going to use distributive property.
(2t+6)+7t is the same as, (2t)7t + 6(7t).
2t(7t)= 14t² and 6(7t)= 42t.
Combine the two answers and you get 14t²+42t.
14t²+42t is the simplest form you can get to.
What is the prouduct of 2 and 0.73
Answers
Answer:
1.46
Step-by-step explanation:
We can represent this problem as an array of dots, where each dot represents 0.73 units.
⚫️ ⚫️
We can see that the resulting product of 2 × 0.73 is just the sum of two dots. We can represent this in equation form as:
0.73 + 0.73
Finally, we can execute the addition by adding the tenths and hundredths of each number separately, then adding everything together at the end.
tenths + hundredths
(0.70 + 0.70) + (0.03 + 0.03)
1.40 + 0.06
1.46
A state trooper used a radar gun to measure the speed (in miles per hour) of all the cars that drove past her stretch of highway in a twenty minute period. She separated the results by whether the cars were traveling northbound or southbound. The histograms show the speed of each car that she recorded.
Which statement is an appropriate inference based on the median of each data set?
Question 4 options:
1.)The northbound cars were generally faster because the median for the northbound cars is less than the median for the southbound cars.
2.)The northbound cars were generally faster because the median for the northbound cars is greater than the median for the southbound cars.
3.)The southbound cars were generally faster because the median for the northbound cars is less than the median for the southbound cars.
4.)The southbound cars were generally faster because the median for the northbound cars is greater than the median for the southbound cars.
Answers
Answer:
2.
Step-by-step explanation:
There are more boxes towards the highest numbers which means that the medians for northbound cars are generally high while the medians for southbound cars are located more on the smaller numbers representing the speed.
Express (0.0425 + 25) as a fraction
Answers
Answer:
54 is the correct answer
567854+98723=?
Let's see who knows the correct answer
Answers
Explanation:
PLEASE HELP ME FILL OUT NUMBER 2 I DID THE OTHER QUESTIONS FOR YOU TO USE
1) The Magnolia trees purchased for planting at the school are 3 feet tall. Research shows that these types of trees grow at an average rate of 3/4 foot per year.
a) Write an equation in Slope-Intercept form to represent the growth of the trees over time. Let x represent the number of years and let y represent the height (in ft.) of the tree.
Y=3/4x+3
b) What does the y-intercept represent in your equation
Stands for feet Y=3
c) Determine the height of the tree in 3 years.
Y=3/4×3+3=9/4+3=21/4=5.25 feet
2. Could the equation 3x - 4y = - 12 be used to represent the same information in question #1? Explain your reasoning
a) What does the 3 and the 4 in this equation tell us?
b) Using this equation can you tell me how tall the tree will be in 24 years?
c) Using the equation find the x-intercept. What does this mean in this problem?
Answers
1)
a) The equation Y=3/4x+3 can be used to represent the growth of the trees over time.
b) The y-intercept in this equation represents the starting height of the trees, which is 3 feet.
c) In 3 years, the height of the trees will be 5.25 feet according to the equation.
2)
No, the equation 3x - 4y = -12 cannot be used to represent the same information in question #1. This equation is not in slope-intercept form, which is necessary to represent a linear relationship between two variables.
a) The 3 and the 4 in this equation are coefficients of the variables x and y, respectively. They do not represent any specific value or quantity in the context of the problem.
b) It is not possible to determine the height of the tree in 24 years using this equation because it is not in the correct form.
c) To find the x-intercept, we can set y to 0 and solve for x. This gives us x = -3. The x-intercept in this equation represents the number of years at which the height of the tree is 0 feet. This does not have any meaning in the context of the problem.
a) The y-intercept in the equation, represented by the constant 3, stands for the initial height of the trees when they are planted (3 feet tall). The slope of the line, represented by the coefficient of x (3/4), represents the average rate of growth of the trees over time (3/4 foot per year).
b) In 3 years, the height of the trees can be found by substituting 3 for x in the equation and solving for y: Y=3/4*3+3=9/4+3=21/4=5.25 feet.
The equation 3x - 4y = - 12 cannot be used to represent the same information in question #1 because it is not in slope-intercept form. In order to be in slope-intercept form, the equation must have the form y = mx + b, where m represents the slope and b represents the y-intercept.
a) The 3 and 4 in the equation 3x - 4y = - 12 represent the coefficients of the x and y terms, respectively. They do not represent the initial height or the rate of growth of the trees.
b) It is not possible to determine the height of the trees in 24 years using the equation 3x - 4y = - 12 because it is not in the correct form.
c) The x-intercept of the equation 3x - 4y = - 12 can be found by setting y equal to 0 and solving for x: 0 = 3x - 4y, so x = - 4y/3. This means that the x-coordinate of the point where the line intersects the x-axis is - 4y/3. This has no meaning in the context of this problem, as the x-axis represents the number of years and the y-axis represents the height of the trees.
How many types of angles are there in class 7?
Answers
There are basically 6 types of angles are there which are acute, obtuse, right, straight, reflex and complete angles.
If an angle is less than 90 degrees, it is known as an acute angle. If an angle is more than 90 degrees, then it is called an obtuse angle. If an angle is exactly 90 degrees, then it is called the right angle.
If an angle is precisely 180 degrees, then it is called a straight angle. If the angle is more than 180 degrees but less than 270 degrees, it is known as a reflex angle. A full 360-degree angle is called a complete angle.
To know more about straight angle, here
https://brainly.com/question/29405386
#SPJ4
F(x)=5-3x find f(x+2)
Answers
Answer:
f(x + 2) = - 3x - 1
Step-by-step explanation:
substitute x = x + 2 into f(x) , that is
f(x + 2)
= 5 - 3(x + 2)
= 5 - 3x - 6
= - 3x - 1
Put x=x+2, we get,
f(x+2)=5−3(x+2)
∴f(x+2)=5−3x−6
∴f(x+2)=−1−3x
Multiply = 4/7 x 5 1/4
please help me
Answers
Answer:
3
Step-by-step explanation:
[tex]\displaystyle \frac{4}{7}*5\frac{1}{4}=\frac{4}{7}*\frac{21}{4}=\frac{21}{7}=3[/tex]
Using the clues below, what is the value of the bigger number?
Clue 1: The sum of two numbers is ten.
Clue 2: The difference of the numbers is two.
Answers
Answer:
6
Step-by-step explanation:
Call the bigger number a, smaller b
a + b = 10
b + 2 = a
a + b + 2 = a + a = 2a = 12
a = 12 : 2
a = 6
Which of the following is a perfect square trinomial?
(A) 5x2 - 5x + 1
(B) 5x2 - 10x + 5
(C) 10x2 - 20x + 5
(D) 25x2 - 20x + 3
(E) 25x2 + 20x + 4
Answers
Answer:
B is the perfect square
Step-by-step explanation:
carmen has 92 kilograms of clay. she has 5 students in her art class. how much clay does each student get
Answers
Answer:
18.4 kg of clay
Step-by-step explanation:
92 kg for 5 students
=> 92 : 5 = 18,4 kg for 1 student
Answer: 18.4 kg
Step-by-step explanation:
DATA :
total mass of clay = 92 kg
total students = 5
how much clay does each student get?
SOLUTION:
assuming that each student got equal amount of clay, we are simply going to divide ⇒92 by 5.
⇒92 ÷ 5
⇒18.4 kg ANSWER
hope that helps...
find the missing part of the proof for m A. m B. m C. m D. m
Answers
Therefore, K= 66 degrees, LK length = 22 unit, and LK length = 22 unit are the answers to the specific problem of angles.
Angles are what?A geometrical angled construction is constructed from two rays that converge at the summit, or center, of both the angle and are referred to as the face and the vertex, respectively. Guess it depends on how they're situated, it is possible for two rods to create an angle together within plane. When two planes collide, an inclination is also formed. Diahedral angles are the term used to refer to them. Light beams or lines in euclidean geometry can have a wide variety of shapes or angles for the same termination. The phrase "angle" in English is based on the Latin term "angulus," which meaning "horn." the vertex.
Here,
Given: MKL M = 24 degree right triangle
K is 90 degrees, etc.
Thus,
=> ∠L + ∠M +∠K =180
=> 90 + 24 + ∠K = 180
=>∠K =180-114
K equals 66 degrees.
and
The formula for LK length is 22.
The formula for LK length is 22.
In light of this, the answer to the angle problem is
K=66 degrees, and LK length=2 units. LK length equals two units.
To know more about angles visit:
brainly.com/question/14569348
#SPJ1
Jose has $34 to spend at the Texas State Fair. If the entrance ticket costs $12, then how much money does jose have to spend on food and games?
ONE-STEP EQUATIONS APPLICATION II 6TH MATH
WITH EQUATION!
Answers
Answer:
22
Step-by-step explanation:
34-12=22 you just basically subtract 34 and 12 and it gives you 22 but theres the equation too
Jose has 22$ to spend on food and games
I need help with these questions can someone help please
Answers
Answer:you just have to find the slope
Step-by-step explanation:
so all you have to do is start by doing y=Mx+b. You start by placing down you b point on the y axis and then Do your Mx it should look something like this
Find the Average Rate of Change of the table below for the interval 2 < x < 5
Answers
The AROC is 3 for the interval 2 < x < 5, which is the correct answer that would be option (A).
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
The table is given in the question as follows:
x y
0 -2
1 -3
2 0
3 3
4 6
5 9
We have to determine the Average Rate of Change in the table below for the interval 2 < x < 5
As per the given table, the required AROC would be as:
⇒ (9 - 3)/(5-3)
⇒ 6/2
Apply the division operation, and we get
⇒ 3
Hence, the correct answer would be option (A).
To learn more about the rate click here :
https://brainly.com/question/12786410
#SPJ1
consider the equations t(n)=2n-5 and f(x)=2x-5
Answers
Therefore , the solution of the given problem of equation comes out to be (−∞,∞) is an interval for domain.
Analyze the equation.A mathematical equation seems to be a formula that links two statements and signifies equivalence with the equals sign (=). In algebra, a scientific claim that confirms the equality two two mathematical abstractions is referred to as an equation. For instance, the answer obd + 6 = 12 has an equal sign between the elements ptdc + 6 and 12, respectively. There is a mathematical formula that describes the connection between the two syllables on either side of a letter. Frequently, the symbol and the single variable are the same.
Here,
f(x)=2x-5 and t(n)=2n-5 are given.
A) They both depict the sequence.
B) Unless the expression is undefined, the domain of both the expression seems to be all real numbers. In this instance, the phrase is defined despite the lack of a real number.
(−∞,∞) is an interval notation.
{x|x ∈ R} is the Set-Builder Notation.
Therefore , the solution of the given problem of equation comes out to be (−∞,∞) is an interval for domain.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
A coin with probability p of showing up heads is tossed n times. What is the probability that the number of heads is odd
Answers
The chance you get a odd number of heads from the first coin is 1/3,
What is the probability that the number of heads is odd? The tosses of the coin are independent (neither affects the other). Hence, the probability of a head on Flip 1 and a head on Flip 2 is the product of P(H) and P(H), which is 1/2 x 1/2 = 1/4. The same calculation applies to the probability of a head on Flip 1 and a tail on Flip 2For n≥3, if the last outcome is T, then the probability that the first (n−1)tosses do not contain two (or more consecutive heads is p n−1 and if the last outcome is H, then (n−1)th outcome must be T and the probability the first(n−2) tosses do not contain two (or more) consecutive heads is p n−2 . Hence, p n =p n−1 ×P (nth toss results in a tail)+p n−2 ×P (nth toss results in a head and (n−1)th toss results in a tail)=(1−p)p n−1+p(1−p)p n−2To learn more about probability refers to:
brainly.com/question/24756209
#SPJ4