Is 4 x 2/3 greater than 4?

a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.

To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.

In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:

ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)

Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:

ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134

Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.

Therefore, the value of the error for Z, with one decimal place, is 4.

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The Fredholm theory of integral equations of the second kind is a powerful tool that allows us to solve certain types of integral equations. In particular, it allows us to reduce the problem of solving an integral equation to that of solving a linear system of equations.

To begin with, let's take a closer look at the integral equation you've been given:

ϕ(x)=(x2−x4)+λ∫1−1(x4+5x3y)ϕ(y)dy

This is a second kind integral equation because the unknown function ϕ appears both inside and outside the integral sign. In general, solving such an equation directly can be quite difficult. However, the Fredholm theory provides us with a systematic method for approaching this type of problem.

The first step is to rewrite the integral equation in a more convenient form. To do this, we'll introduce a new function K(x,y) called the kernel of the integral equation, defined by:

K(x,y) = x^4 + 5x^3y

Using this kernel, we can write the integral equation as:

ϕ(x) = (x^2 - x^4) + λ∫[-1,1]K(x,y)ϕ(y)dy

Now, we can apply the Fredholm theory by considering the operator T defined by:

(Tϕ)(x) = (x^2 - x^4) + λ∫[-1,1]K(x,y)ϕ(y)dy

In other words, T takes a function ϕ(x) and maps it to another function given by the right-hand side of the integral equation. Our goal is to find a solution ϕ(x) such that Tϕ = ϕ.

To apply the Fredholm theory, we need to show that T is a compact operator, which means that it maps a bounded set of functions to a set of functions that is relatively compact. In this case, we can show that T is compact by applying the Arzelà-Ascoli theorem.

Once we have established that T is a compact operator, we can use the Fredholm alternative to solve the integral equation. This states that either:

1. There exists a non-trivial solution ϕ(x) such that Tϕ = ϕ.

2. The equation Tϕ = ϕ has only the trivial solution ϕ(x) = 0.

In the first case, we can find the solution ϕ(x) by solving the linear system of equations:

(λI - T)ϕ = 0

where I is the identity operator. This system can be solved using standard techniques from linear algebra.

In the second case, we can conclude that there is no non-trivial solution to the integral equation.

So, to summarize, the Fredholm theory allows us to solve certain types of integral equations by reducing them to linear systems of equations. In the case of second kind integral equations, we can use the Fredholm alternative to determine whether a non-trivial solution exists. If it does, we can find it by solving the corresponding linear system.

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Answer:

4=w   w = -3/5

Step-by-step explanation:

(4-w)(5w+3)=0

Using the zero product property

4-w = 0   5w+3 =0

4 =w     5w= -3

4=w   w = -3/5

Answer:

4 & -3/5

Step-by-step explanation:

the "trick" is to set each factor = to zero

4-w = 0

w = 4

~~~~~~~~~~~

5w + 3 = 0

5w = -3

w=-3/5

Angles supplementary to ∠3 are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, and ∠7.

So, angles supplementary to ∠3:

(Refer to the image attached below)

Therefore, angles supplementary to ∠3 are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, and ∠7.

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Answer:

34 is your answer

Step-by-step explanation:

34-18=16

16(-5)=-80

Answer:

\(s=34\)

Step-by-step explanation:

Set up an equation using the given information:

"Multiply the difference" suggests that the subtraction should be done first. Following PEMDAS, in order to get subtraction done first, it would need to be in parentheses:

\((s-18)\)

Then you would multiply that difference by -5:

\(-5*(s-18)\)

Now set the expression as equal to -80:

\(-80=-5(s-18)\)

Now you can solve for s. Use the distributive property:

\(-80=-5(s)-5(-18)\\\\-80=-5s+90\)

Isolate the variable s. Subtract 90 from both sides:

\(-80-90=-5s+90-90\\\\-170=-5s\)

Divide both sides by -5:

\(\frac{-170}{-5}=\frac{-5s}{-5} \\\\34=s\)

Your number is 34.

:Done

Check answer:

Insert the value of s into the equation to determine if true:

\(-80=-5(34-18)\\\\-80=-5(16)\\\\-80=-80\)

This is true, so the value of s is correct.

The conversion of the statement of the expression into inequality form in terms of x is given by 1/2 × 3^x + 2^(2 - x) - 2 ≤ x ≤ 3

Using the details of the inequality,

1 half left parenthesis 3 right parenthesis to the power of x is,

1/2 × 3^x

Plus space 2 end exponent minus space 2 , negative 1 space  is written as ,

+ 2^(2 - x) - 2

less or equal than space x space less or equal than space 3

≤ x ≤ 3

Now, combine all to get the required inequality,

1/2 × 3^x + 2^(2 - x) - 2 ≤ x ≤ 3

Therefore, the required inequality for the given expression is equal to

1/2 × 3^x + 2^(2 - x) - 2 ≤ x ≤ 3

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The given question is incomplete, I answer the question in general according to my knowledge:

If left parenthesis x right parenthesis space equals space 1 half left parenthesis 3 right parenthesis to the power of x space plus space 2 end exponent minus space 2 , negative 1 space less or equal than space x space less or equal than space 3.

Represent the expression in the inequality form of x.

When parking next to a curb, you may not park more than 12 inches away from the curb.

Curb parking refers to the practice of parking a car alongside the road, adjacent to the curb. It is a common method of parking in urban areas where designated parking spaces may be limited. When parking parallel to the road, vehicles are positioned with either the front or back bumper facing the direction of the road.

To ensure safe and efficient use of road space, there are regulations in place regarding curb parking. One important regulation is the requirement to park within a certain distance from the curb. In general, vehicles are not allowed to park more than 12 inches away from the curb.

The purpose of this regulation is to maintain an organized and orderly parking arrangement, allowing for the smooth flow of traffic and the safe passage of pedestrians. By parking close to the curb, vehicles minimize obstruction to other vehicles and ensure that the road remains clear for traffic.

It is essential for drivers to adhere to these parking regulations to avoid fines or penalties and to contribute to the overall safety and functionality of the road.

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The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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Answer:

10.33333 or 31/3 or 10 and 1/3 =x

Step-by-step explanation:

-2=3x-23/4

*4    *4

-8=3x-23

+23   +23

31=3x

/3   /3

10.33333 or 31/3 or 10 and 1/3 =x

Answer:

Step-by-step explanation:

2.73 (rounded)

Answer:

Step-by-step explanation:

You plug in the number of lawns mowed for "n"

So 1 lawn would be 15(1)  (15 times 1)

15(1)=15

15(2)=30

15(3)=45

15(4)=60

15(5)=75

15(6)=90

15(7)=105

15(8)=120

15(9)=135

15(10)=150

and so on

The roots of the resulting polynomial equation are \((x_{1} ,y_{1} ) = (-2 , -26), (x_{2} ,y_{2} ) = ( 0.11 , 1.94 )\) and \(( x_{3} , y_{3} ) = ( 4.39, - -9.81)\) , respectively.

What is a polynomial easy definition?

A mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a nonnegative integral power (such as a + bx + cx2).

Ariana must graph two polynomic expressions:

\(f(x) = x^{3} -5 . x^{2} + 2\) and \(g(x) = -x^{3} + 17 . x\)

The roots of the resulting polynomial equation are found by means of this formula-

f(x) - g(x) = 0.........................1

Then, we must look for every point so that  f(x) = g(x)

The roots of the resulting polynomial equation are \((x_{1} , y_{1} ) = ( -2,-26) , (x_{2} ,y_{2} ) = ( 0.114 , 1.937 )\) and \((x_{3},y_{3} ) = ( 4. 386 , -9. 812)\)  respectively.

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Answer:

D

Step-by-step explanation:

To solve the given system of equations using Gaussian elimination or Gauss-Jordan elimination, we will perform a series of row operations to simplify the system and obtain the values of x and y.

First, let's write the system of equations in matrix form: [-4  11 | 58]

[ 1  -3 | -16]. Our goal is to transform this matrix into reduced row-echelon form, where the leading coefficient of each row is 1 and all other entries in the column containing the leading coefficient are 0. Step 1: Multiply the second row by 4 and add it to the first row to eliminate the x coefficient in the second row:[-4  11 | 58].  [ 0   1 |  0]. Step 2: Multiply the second row by -11 and add it to 11 times the first row to eliminate the y coefficient in the first row:[1   0 | 174] . [0   1 |   0].

The resulting matrix represents the system of equations:x = 174. y = 0. Therefore, the solution to the system of equations is x = 174 and y = 0.

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An internal firewall sits at the boundary between the corporate site and the internet. This statement is False.

A firewall is a security system designed to protect computer networks from unauthorized access. Firewalls are hardware, software, or a combination of both that act as a shield between an organization's internal network and the outside internet or other untrusted networks. It can also be used to separate an internal network from other internal networks.

Internal firewalls are utilized to improve an organization's security posture by segregating sensitive systems or networks from less sensitive systems. For example, one of the internal firewalls may be used to separate the accounting department's systems from the systems used by other departments to ensure that accounting information is only accessible by authorized individuals.

The statement that an internal firewall sits at the boundary between the corporate site and the internet is not true as it refers to an external firewall. The internal firewall is used to separate sensitive systems and networks from less sensitive ones, which helps to enhance the security of an organization.

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Answer:

Real-life problem:

A farmer has a rhombus-shaped field with a side length of 50 meters and a height of 30 meters. He wants to build a fence around the field to keep his cows from wandering off. If he plans to use wire fencing that costs $4 per meter, how much will he spend on fencing?

Solution:

To find the perimeter of the field, we need to calculate the length of each side. Since a rhombus has four equal sides, we can use the Pythagorean theorem to find the length of each side:

a^2 + b^2 = c^2

where a and b are the side lengths, and c is the diagonal.

Since the height of the rhombus is 30 meters and the side length is 50 meters, we can use these values to find the diagonal:

c^2 = 30^2 + 50^2

c^2 = 900 + 2500

c^2 = 3400

c = sqrt(3400)

c = 58.31 meters

Therefore, the perimeter of the field is 4 x 50 = 200 meters.

The farmer plans to use wire fencing that costs $4 per meter. So, the total cost of fencing will be:

Cost = perimeter x cost per meter

Cost = 200 x 4

Cost = $800

Answer:

The farmer will spend $800 on fencing the rhombus-shaped field.

Answer:

\(h(-1)=-\dfrac{\boxed{2}}{\boxed{3}}\)

Step-by-step explanation:

Given function:

\(h(x)=\dfrac{2x-6}{4x^2+8}\)

To find h(-1), substitute x = -1 into the given function:

\(\begin{aligned}\implies h(-1)&=\dfrac{2(-1)-6}{4(-1)^2+8}\\\\&=\dfrac{-2-6}{4(1)+8}\\\\&=\dfrac{-2-6}{4+8}\\\\&=\dfrac{-8}{12}\\\\&=\dfrac{-8 \div 4}{12 \div 4}\\\\&=-\dfrac{2}{3}\end{aligned}\)

Answer:

\({ \sf{h(x) = \frac{2x - 6}{ {4x}^{2} + 8 } }} \\ \)

h(-1) implies that x = -1; therefore

\({ \sf{h( - 1) = \frac{2( - 1) - 6}{4 {( - 1)}^{2} + 8 } }} \\ \\ { \sf{h( - 1) = \frac{ - 2 - 6}{4 + 8} }} \\ \\ { \sf{h( - 1) = \frac{ - 8}{12} }} \\ \\ { \boxed{ \sf{ \: h( - 1) = - \frac{2}{3} }}}\)

Answer:

1,000,000,000

Step-by-step explanation:

Answer:

The focus would lie at (-8,16)

Step-by-step explanation:

Answer:

It's B...

Step-by-step explanation:

"The value of k must be between 1 and 2" on edge 2023... the problem is the exact same, just this problem was variable p and the one on edge was k

The value of p must be between 1 and 2.

Continuous functions can be simply defined as a function whose graph does not have a break or jump or an abrupt change, it will goes continuously.

In other words, if all the parameters like right hand limit, left hand limit and value of the function at a definite point 'p' exist and are equal to each other, then the function is continuous.

The given function is f(x) = 2x + ㏒ x

The function is continuous at an interval [1, 2].

f(1) = (2 × 1) + (㏒ 1)

    = 2 + 0

    = 2

f(2) = (2 × 2) + (㏒ 2)

     = 4 + 0.301

     = 4.301

So if f(p) = 4, then p must be a value in between (1, 2).

Hence if f(p) = 4, for some value of p, then p must be a point between 1 and 2.

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Answer:

3.66666666667

or

3.67(rounded to the nearest tenth)

Step-by-step explanation:

2x 1/2 x3 2/3 = 3.66666666667

Ace Carlos

Developer

Answer:

=3 2/3

Step-by-step explanation:

2 x 1/2 x 3 2/3

2 x 1/2 = 2/2 = 1

1 x 3 2/3

=3 2/3

Answer:

Sum of arithmetic series is \(2077\)

Step-by-step explanation:

We have \(n\)th term of arithmetic sequence

\(a+(n-1)d\)

Here

\(a+(n-1)d=127\\\\7+(31-1)d=127\\\\d=\frac{120}{30} \\\\=4\)

Sum of arithmetic sequence \(=\frac{n}{2} (2a+(n-1)d)\)

\(=\frac{31}{2} (2\times7+(31-1)4)\\\\=\frac{31}{2} (14+120)\\\\=31\times67\\\\=2077\)

Answer:

The sum of arithmetic series is 2077.

Step-by-step explanation:

Solution :

Here we have provided that :

We need to find :

Here's the required formula to find the sum of arithmetic series :

\(\longrightarrow{\pmb{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}\)

Substituting all the given values in the formula to find the sum of arithmetic series :

\({\longrightarrow{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}\)

\({\longrightarrow{\sf S = \dfrac{31}{2} \Big(7 + 127 \Big)}}\)

\({\longrightarrow{\sf S = \dfrac{31}{2} \Big(134 \Big)}}\)

\({\longrightarrow{\sf S = \dfrac{31}{2} \times 134 }}\)

\({\longrightarrow{\sf S = \dfrac{31}{\cancel{2}} \times \cancel{134 }}}\)

\({\longrightarrow{\sf S = 31 \times 67}}\)

\({\longrightarrow{\sf S = 2077}}\)

\(\star \: {\underline{\boxed{\sf{\red{S = 2077}}}}}\)

Hence, the sum of arithmetic series is 2077.

\(\rule{300}{1.5}\)

Answer: the answer is c

Step-by-step explanation:

Got it right on edg

The calculated value of the volume of the mailbox is 192 cubic inches

From the question, we have the following parameters that can be used in our computation:

The dimension 2 in by 8 in by 12 in

By formula, we have the volume of a box to be

Volume = Length * Width * Height

In this case, we have the following dimension values

Recall that

Volume = Length * Width * Height

So, we have

Volume = 2 * 8 * 12

Evaluate the products

Volume = 192

Hence, the volume of the mailbox is 192 cubic inches

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Answer: 2/1 should be your answer

Step-by-step explanation:

4 x 3= 12/6

1 x 3= 3/3

12 divided by 2 = 2  3 divided 3= 1

2/1

Answer:

59

Step-by-step explanation:

i hope this halp

Answer:

Step-by-step explanation:

-0.5

Answer:

36%

Step-by-step explanation:

The total number of cars is 50 and 18 were manufactured before 1945

Let's set up a fraction

18/50

A percent should be out of 100 so let's change the denominator to 100

18/50 (times 2 for 18 and 50 to get 50 to 100)= 36/100

36/100 is 36%

OR

divide 18 by 50 because the fraction line is like a division symbol

that equals 0.36, times 100 to get 36%

The original price was £52 if the t-shirt increased in price by 1/4. After the increase, it was priced at £65.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The question is incomplete.

Please refer to the picture for the complete question.

We have:

A t-shirt increased in price by 1/4. After the increase, it was priced at £65.

Let's suppose the original price was x

(1 + 1/4)x = 65

(1 + 0.25)x = 65

1.25x = 65

x = £52

Thus, the original price was £52 if the t-shirt increased in price by 1/4. After the increase, it was priced at £65.

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