finda. the domainb. rangec. f(-3)d. the values of x for which f(x) =-2e. the point where the graph of f crosses the x-axisf. the point where the graph of f crosses the y-axisg. value of x for which f(x) < 0h. is f(-8) positive or negative?

Finda. The Domainb. Rangec. F(-3)d. The Values Of X For Which F(x) =-2e. The Point Where The Graph Of

Answers

Answer 1

(a)The domain is the set of values of x in the function.

From the graph, the domain of f(x) is: (-∞, ∞)

(b)The range is the set of values of y in the function.

From the graph, the range of f(x) is: (0, ∞)

(c)From the graph, When x=-3, y=0

Therefore: f(-3)=0

(d)There is no value of x that gives f(x)=-2.

The values of x for which f(x) =-2 is Undefined.

(e)The point where the graph of f crosses the x-axis is (0, 0).

(f)The point where the graph of f crosses the y-axis is (0, 0).

(g)The value of f(x) is not negative. Therefore, the value of x for which f(x) < 0 is Undefined.

(h)When x=-8, f(x)=0

Therefore, f(-8) is zero. It is neither positive nor negative.


Related Questions

20 Find the area of the rectangle given that
the perimeter is 50 cm.
3m + 2
m - 5
F 32
G 7
H 46
J 9​

20 Find the area of the rectangle given thatthe perimeter is 50 cm.3m + 2m - 5F 32G 7H 46J 9

Answers

Answer: H - 46

Step-by-step explanation:

Primeter = 2(l + w)

50 = 2{(3m+2) + (m-5)}

25 = 3m+2 +m -5

25 = 4m -3

m = 28/4 = 7

l = 3m+2 = 23 cm

w = m-5 = 2 cm

Area = l x b

= 23 x 2 = 46 sq. cm.

Help its due today and I'm stuck on this question

Convert 75 gram per cm 3 to pounds per cubic inch (round to nearest tenth) [ 1 pound = 0.4536 kg] [ 1 cm = 0.3937 in] [ 1 kg = 1000g] (Show your work)


2.07 pounds/in 3


1.7 pounds/in 3


2.7 pounds/in 3


3.2 pounds/in 3

Answers

Answer:

It’s 2.07 pounds/in 3

Step-by-step explanation:

1 kilogram = 2.2 × pounds, so,2.07 × 1 kilogram = 2.07 × 2.2 pounds (rounded), or2.07 kilograms = 4.554 pounds.Step 2: Convert the decimal part in pounds to ouncesAn answer like "4.554 pounds" might not mean much to you because you may want to express the decimal part, which is in pounds, in ounces which is a smaller unit.So, take everything after the decimal point (0.55), then multiply that by 16 to turn it into ounces. This works because one pound equals 16 ounces. Thus,4.55 pounds = 4 + 0.55 pounds = 4 pounds + 0.55 × 16 ounces = 4 pounds + 8.8 ounces. So, 4.55 pounds = 4 pounds and 8 ounces (when rounded). Obviously, this is equivalent to 2.07 kilograms. Step 3: Convert from decimal ounces to a usable fraction of ounceThe previous step gave you the answer in decimal ounces (8.8), but how to express it as a fraction? See below a procedure, which can also be made using a calculator, to convert the decimal ounces to the nearest usable fraction: a) Subtract 8, the number of whole ounces, from 8.8:8.8 - 8 = 0.8. This is the fractional part of the value in ounces.b) Multiply 0.8 times 16 (it could be 2, 4, 8, 16, 32, 64, ... depending on the exactness you want) to get the number of 16th's ounces:0.8 × 16 = 12.8.c) Take the integer part int(12.8) = 13. This is the number of 16th's of a pound and also the numerator of the fraction.Finalmente, 2.07 quilogramas = 4 pounds 8 3/4 ounces.A fração 12/16 não está simplificada, e ainda pode ser reduzida para 3/4 para que possamos expressar como a fração mais simples possível.In short:2.07 kg = 4 pounds 8 3/4 ounces

evaluate 4+8 divide by 2 x(6-3)

Answers

Answer:

2

Step-by-step explanation:

= 4+8/2×(6-3)

= 12/2×6-2×3

= 12/12-6

= 12/6

= 2

which equation represents the slope intercept form of the line when the y intercept is (0,-6) and the slope is -5

Answers

The values into the slope-intercept form, we have y = -5x - 6

The slope-intercept form of a linear equation is given by:

y = mx + b

where 'm' represents the slope of the line, and 'b' represents the y-intercept.

In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).

The slope is given as -5.

Therefore, substituting the values into the slope-intercept form, we have:

y = -5x - 6

This equation represents the line with a y-intercept of (0, -6) and a slope of -5.

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Jim was thinking of a number. Jim divides by 8, then adds 9 to get an answer of 6. What was the original number?

Answers

Answer:

120 is your answer

Step-by-step explanation:

reverse the equation so:

6+9= 15

15 x 8 = 120

Happy holiday and I hope you do well on your assignment or whatever

WILL GIVE BRAINLIEST‼️‼️ If the mean of the following frequency distribution is 24; determine the value of p.​

WILL GIVE BRAINLIEST If the mean of the following frequency distribution is 24; determine the value of

Answers

Answer- P=18

Step-by-step explanation:

Greetings !

Firstly, find the class-midpoints (X) to solve for the mean.

Thus, mid points of each classes are

\(5.15.25.35.45\)

Solve, for p using mean grouped data formula

\( \frac{5(3) + 15(4) + 25(p) + 35(3) + 45(2)}{3 + 4 + p + 3 + 2} = 24\)

multiply each values add them and solve for p.

\( \frac{15 + 60 + 25p + 105 + 90}{12 + p} = 24\)

make a cross multiplication

\(270 + 25p = 24(12 + p) \\ 270 + 25p = 288 + 24p\)

subtract 270 from both sides

\(270 + 25p - 270 = 288 + 24p - 270 \\ 25p = 24p + 18\)

subtract 24p from both sides

\(25p - 24p = 24p + 18 - 24p \\ p = 18\)

Also refer the attached image for further details

Hope it helps!

WILL GIVE BRAINLIEST If the mean of the following frequency distribution is 24; determine the value of

5/6 having denominator 35 ​

Answers

Answer:( 175/6)

Step-by-step explanation: 5*35/6=175/6 sour our numerator is 175/6. So sour answer is (175/6)/35

Share it: Due:Friday, Aug 28, 2020, 12:00 AM How is comparing and ordering rational numbers different from comparing and ordering integers? Be specific.

Answers

hello

to compare or know the difference between rational numbers and integers

rational numbers are numbers in which are expressed as fractions of two integers eg a/b where b is a non zero number

integers are whole numbers in mathemathics without the expression in fraction or rather they're expressed in fractions but the denominator must be equal to 1

now when we want to compare and order integers, they're prefereably done using the number line system.

for an integer

\(\begin{gathered} in\text{ the number line system} \\ -3>\text{ }-4 \\ 2\text{ }<\text{ 3} \end{gathered}\)

while in rational numbers,

\(\begin{gathered} \frac{1}{2}\text{ }>\text{ }\frac{1}{4} \\ -\frac{2}{3}\text{ <}\frac{1}{2} \end{gathered}\)

Which expression is equivalent to 1.1 n − 3.8 + 1.9 n + 9.1 ?

Answers

Combine like terms by adding the 1.1n and 1.9n terms:

1.1n + 1.9n = 3n

Combine the constant terms:

-3.8 + 9.1 = 5.3

The expression becomes:

1.1n − 3.8 + 1.9n + 9.1 = 3n + 5.3

Therefore, the expression that is equivalent to 1.1n − 3.8 + 1.9n + 9.1 is 3n + 5.3.

Answer:

3n+5.3

Step-by-step explanation:

(1.1×n+1.9n)+(−3.8+9.1) = 3n+5.3

A crowd-sourced review platform believes that more and more customers are writing reviews online. The crowd-sourced review platform would like to test the claim that the percent of customers who leave a review online is greater than 72%. They decide to complete a hypothesis test at a 1% significance level. They sample 30 customers, and determine the sample percent to be 90%. The following is the data from this study: Sample size =30 customers Sample proportion =0.90 Identify the null and alternative hypothesis for this study by filling in the blanks with the correct symbol (=,≠,<, or > to represent the correct hypothesis.)

Answers

Answer:

H0 : P = 0.72

H1 : P > 0.72

Step-by-step explanation:

Claim is to test that percentage of customers who leave a review is greater than 72%

From the information given :

P0 = 72/100 = 0.72

The null hypothesis, H0 : P = 0.72

Alternative hypothesis claims the proportion is greater than 0.72 and from the sampling result obtained, phat = 0.90

Hence,

Alternative hypothesis, H1 : P > 0.72

You have a credit card that has a balance of $3589.90 and a credit limit of $5000. How much is the balance over the acceptable debt ratio percentage?

Answers

The balance over the acceptable debt ratio is $1089.90.

What is debt ratio percentage?

A debt ratio calculates a company's leverage by comparing its total debt to its total assets.

Although this ratio varies greatly between industries, capital-intensive enterprises typically have significantly larger debt ratios than other types of businesses.

Divide total debt by total assets to find a company's debt ratio.

A debt ratio of less than 100% signifies a corporation has more assets than debt, and a debt ratio of larger than 1.0 or 100% means the opposite.

According to some sources, the debt ratio is calculated by dividing all obligations by all assets.

Given that, credit card balance = $3,589.90

credit limit = $5,000

Debt Ratio percentage = 50% = 0.50

The balance over is given as

balance = Current Balance - (Credit Limit × 0.50 )

balance = 3589.90 - (5000 × 0.5)

balance = 3589.9 - 2500

balance = 1089.9

Hence, the balance over the acceptable debt ratio is $1089.90.

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A regular hexagon has a perimeter of 120 m. Find its area. Express your answer in the simplest radical form.A) 1800√3m2B) 5 √3 m2C) 600 √3 m2D) 3600 √3 m2

Answers

The area of regular hexagon in simplest radical form is \(600\sqrt{3}\) m².

There are many different types of hexagons. The most common type is a regular hexagon, which is a hexagon that has sides of equal length and angles of equal measure. The perimeter is the total length or distance around a two dimensional shape. In the figure below, the perimeter of each shape is the sum of the lengths of each side, shown in red. The perimeter of a circle or ellipse is called the circumference. For a polygon, the perimeter is the sum of its side lengths.

The given polygon is a regular hexagon with perimeter 120 m.

Thus, the length of each side,

s = 120/6 = 20 m.

The area, A, of a regular hexagon can be found given only its side length, s, with the formula:

\(A = \frac{3\sqrt{3} }{2} s^{2}\)

Substitute s = 120 m in above formula:

\(A = \frac{3\sqrt{3} }{2} (20)^{2} \\A = \frac{3\sqrt{3} }{2}(400)\\A = 600 \sqrt{3}\)

Thus, the area of regular hexagon in simplest radical form is \(600\sqrt{3}\) m².

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Olivia measures the heights of two trees and the lengths of their shadows. She notices that the height of each tree and the length of its shadow are directly proportional. One of the trees has a height of 15 m and a 10 m long shadow. The other tree has a 14.4 m long shadow. Calculate its height, in metres (m). Give any decimal answers to 1 d.p. 15 m 10 m ? m 14.4 m​

Answers

Step-by-step explanation:

directly proportional means

y = kx

with k being a constant factor for all values of x.

we get k by using the given data point (10, 15).

15 = k×10

k = 15/10 = 1.5

so, now for the other tree we know k and x and calculate y

y = 1.5×14.4 = 21.6 m

it is 21.6 m tall (its height is 21.6 m).

what is (1/2 + isqrt3/2)^5?

Answers

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Zoom it in if u can’t see

But what is the slope

Zoom it in if u cant seeBut what is the slope

Answers

-2 please mark brainliest if you will. Have a great day

Answer:

5/-2

Step-by-step explanation:

the slope formula is rise over run. the rise is 5 and the run is -2. in decimal form the answer is -2.5

Amy is cutting a triangle shaped baseball pennant banner out of felt. She starts by cutting a base 6 inches long and two angles
that each measures 75º What will the third angle measure?
A)
20°
B)
25°
30°
D)
50°

Answers

9514 1404 393

Answer:

  C)  30°

Step-by-step explanation:

The sum of angles in a triangle is 180°. The third angle is ...

  180° -75° -75° = 30°

Answer:

the answer is 30°

Step-by-step explanation:

:)))))

Can someone help me with this please?

Can someone help me with this please?

Answers

Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

4 3/8 + 5 1/2= in fractions

Answers

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

A rectangle has a length that is three times the width . The perimeter of the rectangle is 40 feet.what is the area of the rectangle

Answers

Answer:

The area is 15 feet

Step-by-step explanation:

So you are going to need two different equations-

l = w(3)

2l + 2w = 40

Insert the first equation into the second-

2(3w) + 2w = 40

Simplify this equation-

6w + 2w = 40

8w = 40

Divide both sides by 5

w = 5

Solve first equation

l = 5(3)

l = 15

Then find the area-

5 x 15 = 75

Create an expression that has the same value as (6x-4) + (x + 5).
Write the correct numbers from the list in the blank boxes. Each number
may be used once, more than once, or not at all.

Answers

Answer: 7x + 1

Step-by-step explanation:

(6x-4)+(x+5)

Step 1: Remove Parentheses:

              6x-4+x+5

Step 2: Combine Like Terms:

             7x +1

32xyz+12xy+20y simplify

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

32xyz+12xy+20y simplify

Answer:

(x - 2y) • (x - 10y)

Step-by-step explanation:

A sector of a circle of radius has an area of . Find the central angle of the sector. Do not round any intermediate computations. Round your answer to the nearest tenth

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, But I would show how to solve the problem

The area of a sector of a circle with radius r and a subtended central angle  θ in degree has an area of:

Area = \(\frac{\theta}{360}*\pi r^2\)

Where θ is in degrees.

If the central angle is in radian, then the area of the sector is given as:

\(Area=\frac{\theta}{2\pi}*\pi r^2\\ Area=\frac{\theta}{2}* r^2\)

Let us assume A circle has a radius of 2.5 mm a sector of the circle has a central angle of 4 pi/3 radians.

Therefore the radius (r) = 2.5 mm and the central angle (θ) = 4π/3

Therefore:

\(Area=\frac{\theta}{2}*r^2\\ \\Area=\frac{\frac{4\pi}{3} }{2} *2.5^2=13.1\ mm^2\\\)

Mark bought a CD for $500 that earns 3% APR and is compounded annually. The
CD matures in 3 years. How much will this CD be worth at maturity?
O$503.03
O$509.09
O $546.36
O$545.45

Answers

Answer:

Answer: (C) $546.36.

Step-by-step explanation:

To find the future value of the CD at maturity, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the future value of the CD

P = the principal amount (the initial amount invested), which is $500

r = the annual interest rate, which is 3% expressed as a decimal (0.03)

n = the number of times the interest is compounded in a year, which is once annually

t = the time the money is invested for, which is 3 years

Substituting the given values into the formula, we get:

A = 500(1 + 0.03/1)^(1*3)

A = 500(1.03)^3

A = 546.36

Therefore, the CD will be worth $546.36 at maturity. Answer: (C) $546.36.

What is the answer to this question and how to solve?

What is the answer to this question and how to solve?

Answers

Answer:

Line ZL and line LZ.

Step-by-step explanation:

Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.

Brainliest please.

Answer:

Step-by-step explanation

Oh

NEED HELP NOW DUE TODAY

Warren is building shelves for his 3-D printed model collection. He has a piece of wood that is 4.5 feet long. After cutting five equal pieces of wood from it, he has 0.7 feet of wood left over.


Part A: Write an equation that could be used to determine the length of each of the five pieces of wood he cut. (1 point)


Part B: Explain how you know the equation from Part A is correct. (1 point)


Part C: Solve the equation from Part A. Show every step of your work. (2 points)

NEED HELP NOW DUE TODAYWarren is building shelves for his 3-D printed model collection. He has a piece

Answers

Part A: The equation that could be used to determine the length of each of the five pieces of wood cut by Warren is: x + 0.7 = 4.5

Part B: The equation from Part A is correct because it takes into account the total length of the wood (4.5 feet), as well as the amount of wood that is left over (0.7 feet).

Part C: the length of each of the five pieces of wood cut by Warren is 3.8 feet.

What is equation?

It is made up of two mathematical objects, with an equals sign (=) between them. Equations are used to represent relationships between unknown variables and can be solved to find their values.

Part A:

The equation that could be used to determine the length of each of the five pieces of wood cut by Warren is: x + 0.7 = 4.5, where x is the length of each piece of wood.

Part B:

The equation from Part A is correct because it takes into account the total length of the wood (4.5 feet), as well as the amount of wood that is left over (0.7 feet).

This equation can be used to calculate how much wood Warren has cut off from the original 4.5 feet of wood, which is the length of each of the five pieces of wood.

Part C:

Solving the equation from Part A:

x + 0.7 = 4.5

Subtract 0.7 from both sides:

x + 0.7 - 0.7 = 4.5 - 0.7

x = 3.8

Therefore, the length of each of the five pieces of wood cut by Warren is 3.8 feet.

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there are 32 steps in one floor of a tower max lives .he climbs 6 floors of his building. if he clims 6 floor every day , how many steps does he climb every week

Answers

Answer:

1,344

Step-by-step explanation:

First, find how many steps he climbs every day

32*6=192

Now, multiply that by 7 to see how many he climbs in a week

192*7=1,344

Find the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0)

Answers

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Which pair of fractions and mixed numbers have a common denominator of 20?

O 2 3/8 and 3/4

O 1 5/6 and 2/5

O 4 1/3 and 1/4

O 3 3/4 and 7/10

Which pair of fractions and mixed numbers have a common denominator of 20?O 2 3/8 and 3/4O 1 5/6 and

Answers

3rd one 4 1/3 and 1/4
Yes mate fidosnrbrhsus fhsusirjrjsbs

What is the discontinuity and zero of the function f of x equals x squared plus 5 times x minus 6 all over quantity x plus 6 end quantity question mark

a
Discontinuity at (−6, −7), zero at (−1, 0)

b
Discontinuity at (6, 5), zero at (−1, 0)

c
Discontinuity at (−6, −7), zero at (1, 0)

d
Discontinuity at (6, 5), zero at (1, 0)

Answers

The discontinuity of our given function is at point (-6, -7).

The zero of our given function is, (1, 0).

What is discontinuity and zero of the function?

A discontinuous function is a graph function that is not connected to any other functions. If the left-hand limit of f(x) and the right-hand limit of f(x) both exist but are not equal, then the function f(x) is said to have a discontinuity of the first kind at x = a.

The x-intercept(s) of the function's graph represent the real zero of the function.

Consider the given function,

\(f(x) = \frac{x^2+5x-6}{x+6}\)

We know that a function is discontinuous, when its denominator is equal to zero.

To find the discontinuity for our given function, we will equate denominator to 0 as:

x + 6 = 0

    x = -6

Now simplify the given function.

\(f(x) = \frac{x^2+5x - 6}{x+6}\\ f(x) = \frac{x^2 +6x - x - 6}{x+6}\\ f(x) = \frac{x(x+6)-1(x+6)}{x+6}\\ f(x) = \frac{(x-1)(x+6)}{x+6} \\f(x) = x-1\)

Take  y = x - 1

Since the denominator term is cancelled out, so our give function has a removable discontinuity.

Now, we will find value of y by substituting  x = -6

⇒ y = -6 - 1

   y = -7

Therefore, the discontinuity of our given function is at point (-6, -7).

Now, we will find zero of our given function by substituting  f(x) = 0,as zero of the function is the point, where graph intersects x-axis and value of y is 0 at x-axis:

⇒  0 = x - 1

x - 1 = 0

    x = 1

Therefore, the zero of our given function is, (1, 0).

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107. Cranky mower To start her old lawn mower, Rita has
S to pull a cord and hope for some luck. On any partic-
ular pull, the mower has a 20% chance of starting.
(a)
Find the probability that it takes her exactly 3 pulls to
start the mower.
(b) Find the probability that it takes her more than 6
pulls to start the mower.
108. 1-in-6 wins Alan decides to use a different strategy for
the 1-in-6 wins game of Exercise 90. He keeps buying
one 20-ounce bottle of the soda at a time until he gets
a winner.
Find the probability that he buys exactly 5 bottles.
(b) Find the probability that he buys at most 6 bottles.
Show
your work.

Answers

According to the binomial distribution, there is a 0.128 = 12.8% chance that it will take her precisely 3 pushes to start the mower.

she will need to start the mower more than 10 times.There are just two possible results for each pull. The lawnmower either starts or it doesn't. The binomial distribution is employed to answer this question since the likelihood that the mower will start on a pull is independent of all other pulls.Binomial distribution of probabilitiesThe conditions are: x is the total number of victories.The number of trials is n.P represents the likelihood that a trial will be successful.

It has a 20% chance of starting on any given pull, therefore

Item

a:This probability is P(X = 0) when n = 2, multiplied by 0.2, which is the probability that it starts on the third, and it is that it doesn't start on the first two. Hence:

It has a 0.128 = 12.8% chance that she starts the mower with exactly 3 pulls.

Item b:When n = 10, this probability is none on the first 10 and is hence P(X = 0):

Her chances of needing more than 10 pushes to start the mower are 0.1074, or 10.74%.

It has a 0.128 = 12.8% chance that she starts the mower with exactly 3 pulls.

Item b:On the first, there is no chance in this.

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