Suppose A and B are two events. Write expressions involving unions, intersections, and complements that describe the following
a) Both events occur
b) At least one event occurs
c) Neither event occurs
d) Exactly one event occur

Answers

Answer 1

a) Both events occur: A ∩ B

b) At least one event occurs: A ∪ B

c) Neither event occurs: A' ∩ B'

d) Exactly one event occurs: (A ∩ B') ∪ (A' ∩ B)

In Event A and B, the intersection A ∩ B tells us the outcome where both events occur. The Union of A and B tells us the outcome where at least one event occurs. The intersection of the complements of A and B (A' ∩ B') tells us the outcome where neither event occurs.

Finally, the union of the intersection of A and the complement of B and the intersection of the complement of A and B ( (A ∩ B') ∪ (A' ∩ B) ) tells us the outcome where exactly one event occurs.

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Related Questions

One factor of the function f(x) = x^3 - 6x^2 + 11x - 6 is (x-3)

Answers

The quotient of the polynomial division is x^2 - 3x + 2.

How to determine the quotient of the division?

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

f(x) = x^3 - 6x^2 + 11x - 6

Factor = (x-3)

One way to find the other factors of the function f(x) = x^3 - 6x^2 + 11x - 6 is to divide the polynomial by (x-3) and see what the quotient is.

To do this, we have

Quotient = f(x)/Factor

Substitute the known values in the above equation, so, we have the following representation

Quotient = (x^3 - 6x^2 + 11x - 6)/(x - 3)

Using a graphing calculator, we have

Quotient = x^2 - 3x + 2

Hence, the quotient is x^2 - 3x + 2

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Complete question

One factor of the function f(x) = x^3 - 6x^2 + 11x - 6 is (x-3)

Determine the quotient of the polynomial and the factor

HELP ASAP it is TIMED

Answers

Answer:24

Step-by-step explanation:

Determine the vertex and the zeros of the function: y = (x – 1)2 – 25. Question 1 options: A) Vertex: (–1,25); zeros: (–6,0), (4,0) B) Vertex: (–1,25); zeros: (6,0), (–4,0) C) Vertex: (1,–25); zeros: (6,0), (–4,0) D) Vertex: (1,–25); zeros: (–6,0), (4,0)

Answers

The vertex for the given function is (1, -25) and the zeros are (6, 0)(-4, 0).

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of the second degree.

Given y = (x - 1)² - 25

converting the equation in form of y = ax² + bx + c

y = x² + 1 - 2x - 25

y = x² - 2x - 24

vertex of a quadratic equation is given by (-b/2a, -D/4a)

b = -2, a = 1, c = -24

D = b² - 4ac

D = (-2)² - 4(-24)

D = 4 + 96

D = 100

vertex is, -b/2a = -(-2)/2 = 1

and -D/4a = -100/4 = -25

vertex are (1, -25)

and for zeros put y = 0

y = x² - 2x - 24

x² - 2x - 24 = 0

x² - 6x + 4x - 24 = 0

x(x - 6) + 4(x - 6) = 0

(x - 6)(x + 4) = 0

x = 6 and x = -4

zeros are (6, 0)(-4, 0)

Hence option C is correct.

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Ronnie loaned her older brother $1500 and he offered to pay her 4% interest in three years. How much money will Ronnie have in three years when her brother pays her back

Answers

Answer: 1560

Step-by-step explanation:1500*1.04=1560

A convex octagon has interior angles with measures (x + 55)°, (3x +20)°, 4x°, (4x 10)°, (6x - 55)°, (3x +52)°, 3xº, and (2x + 30)°. Find the value of x.​

Answers

Answer:

x = 38°

Step-by-step explanation:

sum of interior angle

=(n - 2 )180

=(8 - 2)180

=(6)180

=1080°.

the value of x

=(x + 55)° + (3x + 20)° + 4x° + (4x - 10)° + (6x - 55)° + (3x + 52)° + 3x° + (2x + 30)° = 1080°

= x + 3x + 4x + 4x + 6x + 3x + 3x + 2x + 55 + 20 - 10 - =55 + 52 + 30 = 1080.

=26x + 92 = 1080

=26x = 1080 - 92

=26x = 988

=26x/26 = 988/26

x = 38°

The functions f and g are such that
f(x) = 6x+7 /2
g(x) = 3x - 5
Find the value of x that makes f^-1 g ^-1 (x) = 0.
Give your answer as an integer or as a decimal.

Answers

Using the inverse function method, the value of x should be x = 7/2 or x = -5

From the case, we know that:

f(x) = (6x + 7) / 2

g(x) = 3x - 5

f⁻¹.g⁻¹(x) ?

First, we need to find the inverse function of each given functions. We assume that:

f⁻¹(x) = p

g⁻¹(x) = q

f⁻¹(x) = (6x + 7) / 2

p = (6x + 7) / 2

2p = 6x + 7

2p - 7 = 6x

x = (2p - 7) / 6

f⁻¹(x) = (2x - 7) / 6

g⁻¹(x) = 3x - 5

q = 3x - 5

q + 5 = 3x

x = (q + 5) / 3

g⁻¹(x) = (x + 5) / 3

Next, we will try to find the value of x

f⁻¹.g⁻¹(x) = 0

(2x - 7) . (x + 5) = 0

     6           3

(2x² - 7x + 10x - 35) = 0

             15

2x² +3x - 35 = 0

(2x -7) (x+5) = 0

x = 7/2 ∨ x = -5

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the data set shows the number of passengers on the flights leaving the columbus airport in the next hour. what is the median number of passengers on the flights? round answer to tenths place. if answer is a whole number then put a zero in your answer for the tenths place for it to be counted correct 39, 48. 25, 25, 53, 22, 70, 36

Answers

After rounding off the median of the given data would be 38.

What is the median?

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory.

It could be referred to as "the middle" value for a data set.

The fundamental difference between the mean and the median when describing data is that the median is more representative of the "normal" value because it is not skewed by a tiny fraction of exceptionally big or small values.

So, calculate as follows:

22, 25, 25, 36, 39, 48, 53, 70

TErms are even: Average of two middle terms to get median.

Median = 36 + 39/2

Median = 37.5

Rounding off: 38

Therefore, after rounding off the median of the given data would be 38.


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Liam has quarters, dimes, and nickels in his pocket. Liam says he has twice as many quarters as dimes and 3 more dimes than nickels. Liam also says he has the same amount of money in dimes as he has in quarters.

How many of each coin does Liam have in his pocket?

Answers

Liam has 5 quarters, 10 dimes and  and 7 nickels.

What is quarter and dime?

1 dollar is 100 cents - a full dollar, so 100 cents.

One dollar is written on one side of the coin, sometimes as "$1".

1 quarter dollar equals 25 cents - 1/4 of a dollar equals 25%, so 25 cents

On one side of the coin, a quarter dollar is written.

1 dime is 10 cents - 1/10th of a dollar, so 10%, so 10 cents, dime begins with d, decimal begins with, and decimal is base-10. One dime is written on one side of the coin.

1 nickel is 5 cents - made of nickel alloy, 1 cent/penny is possibly not made of nickel because it costs more than 1 cent, so it begins with 5 cents.

On one side of the coin, five cents are written.

Let d be the no. of dimes, n be the no. of nickels and q be the no. of quarters.

Given that

2q = d

n + 3 = d

money in dimes = money in quarters

10d = 25q

d can be written as

d = q/2

So

10(2q)  = 25q

2q/q = 25/10

q = 2.5

as 2.5 cant be a number for quarter, lets double it

q = 5

d = 2q

d = 2(5)

d = 10

n = d - 3

n = 10 - 3

n = 7

Thus, Liam has 5 quarters, 10 dimes and  and 7 nickels.

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A linear programming problem consists of a linear ____ to be to be maximized or minimized. It is subject to a set of constraints given in the form of linear equations or inequalities.

Answers

A linear programming problem consists of a linear function to be to be maximized or minimized. It is subject to a set of constraints given in the form of linear equations or inequalities.

Linear programming is the programming in which selecting the best possible choice from those available alternatives whose constraint function and the objective function can be referred to as the linear mathematical function.

Linear programming is used for the optimization of linear objective.

It is used as constrained optimization, from where the objective functions and constraints all are linear.

If a maximization linear programming problem consists of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding down the linear programming optimal solution values of the decision variables

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Question 15
Divide £65 in the ratio 11:2
Questic
Divide

Answers

Answer:

55 and 10

I hope this helps

factorise the following:
11a - 11a^

i think ^ is squared

Answers

The factorization of the provided question is basically -11a(a-1).

What exactly is factorization?

The process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring. You will mostly learn this idea in your lower secondary classes from grades 6 to 8.

A polynomial is an expression made up of variables and coefficients that involves only the operations of addition, subtraction, multiplication, and non-negative exponents. Polynomials are commonly used in algebra and in various mathematical disciplines.

Given,

11a-11a²

Taking common terms

-11a(a-1).

by factorizing 11a-11a²

we get -11a(a-1).

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Writing and solving radical equations: Mastery Test
PLEASE HELP

Answers

The equation has 2 valid solutions; no extraneous solutions.

What are functions?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

What is factorization  and radicals?

Factorisation : The process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring.

Radicals :In the same way that addition is the opposite of subtraction in mathematics, a radical, also known as a root, is the opposite of an exponent. The square root, denoted by the symbol  is the smallest radical.

The given equation is:

First, we determine the solutions

Add 5 to both sides

Square both sides

Expand

Collect like terms

Expand again

Factorize

Factor out x - 2

Split

The above values are valid values of x.

Hence, the equation has 2 valid solutions; no extraneous solutions

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Plsss help and be legit I need help with this

Answers

On solving the provided question, we can say that the inequality we have ( -3, 2 ) => 2x - y>-8

What is inequality?

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

here the inequality

we have ( -3, 2 )

y - 2 > 2(x+3)

y-2 > 2x +6

2x - y>-8

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A store sells a package of 25 trading cards for $5.25.

Answers

Ok what’s the question like how do you expect me to help

i dropped a heavy cube the other day, creating a dent in my floor. the triangular hole in the surface of the floor has sides of lengths $68,$ $75,$ and $77.$ find the depth of the hole.

Answers

I recently dropped a large cube, leaving a dent in my floor. The floor's surface contains a triangular hole with sides that are $68, $75, and $77 long. The hole is about this deep:  [tex]$d=12 \sqrt{6}[/tex]

What is meant by triangular?

Three sides, three angles, and three vertices make up the closed, two-dimensional shape of a triangle. Polygons include triangles. Triangle ABC is seen in the above figure. Triangle examples. Sandwiches, traffic signals, clothing hangers, and a billiards rack are a few instances of triangles in everyday life.

To start, you can determine the sides of the tetrahedron whose apex corresponds to the dent's deepest point. Three of its sides are previously known to be $68,75,77, and since we have perpendicular planes, if these side lengths are x, y, and z, then

[tex]$x^2+y^2=68^2, x^2+z^2=75^2, y^2+z^2=77^2$[/tex] and these three equations solve to

[tex]$x=12 \sqrt{15}, y=4 \sqrt{154}, z=3 \sqrt{385}[/tex]

When the origin of a coordinate frame is located at the point where three perpendicular planes cross and the axes are placed along the edges, the equation for the plane of the triangle hole is

[tex]$\frac{x}{12 \sqrt{15}}+\frac{y}{4 \sqrt{154}}+\frac{z}{3 \sqrt{385}}=1[/tex]

As a result, the distance from the origin, which is the hole's deepest point, to its plane is

[tex]$d=\frac{1}{\sqrt{\frac{1}{144(15)}+\frac{1}{16(154)}+\frac{1}{9(385)}}}[/tex]

Then we get,

[tex]$d=12 \sqrt{6}[/tex]

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Armando's workouts consist of kickboxing and swimming. While kickboxing, he burns 10 calories per minute and he burns 9 calories a minute while swimming. He wants to burn at least 450 calories each day.

a) If
x
is the number of minutes that Armando will kickbox and
y
is the number of minutes he will swim, write an inequality that would help Armando create a workout for today.

Answers

The inequality that models this scenario is given as 10x + 9y ≥ 450

What is an equation?

An equation is an expression showing the relationship between numbers and variables.

Let x represent the number of minutes that Armando will kickbox and y represent the number of minutes he will swim.

Kickboxing, he burns 10 calories per minute and he burns 9 calories a minute while swimming. He wants to burn at least 450 calories each day, hence:

10x + 9y ≥ 450

The inequality is given as 10x + 9y ≥ 450

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f (x) = log(x-1) +1
g(x) = log
What shifts occur for f(x)?

Answers

Answer:

f(x) shifts for log(DWX)

Step-by-step explanation:

Can’t figure this out

Answers

i dont get it either

HELPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

12π m²

Step-by-step explanation:

We are interested in calculating the area bounded by the given arcs .

we know that if [tex]\theta[/tex] is the angle subtended at the centre by the arc , then ; the area is given by ,

[tex]\longrightarrow Area =\dfrac{\theta}{360^o}\times \pi r^2 \\[/tex]

here we have ,

[tex]\theta = 120^o[/tex][tex] r = 6m [/tex]

Therefore on substituting the respective values, we have;

[tex]\longrightarrow Area =\dfrac{120^o}{360^o}\times \pi (6m)^2 \\[/tex]

Simplify,

[tex]\longrightarrow Area =\dfrac{1}{3}\times \pi \times 36m^2 \\[/tex]

[tex]\longrightarrow \underline{\underline{ Area = 12\pi \ m^2}} \\[/tex]

And we are done!

Answer: The result is 12π m²

Step-by-step explanation:

To solve, we must find the Area of the circle, for this we must do the following:

[tex] \: \sf{Area} = \cfrac{ \sf{θ} }{360 {}^{ \circ} } * \sf{\pi r {}^{2} }[/tex]

Once having the above, we must extract the results that we have to put in the fraction, where:

[tex] \theta = 120 {}^{ \circ} [/tex][tex]\sf{r = 6m}[/tex]

Once we have the above, we must substitute the respective values...

[tex] \sf Area = \cfrac{120 {}^{ \circ} }{360 {}^{ \circ} } * \pi(6m) {}^{2} [/tex]

Now to finish, let's simplify:

[tex] \sf{Area = \cfrac{1}{3}* \pi * 36m {}^{2} }[/tex]

[tex] \sf Area = 12 \pi \: m {}^{2} [/tex]

Rpt: The result is 12π m²

A ticket concert is on sale for $129. The sign sasy 14% off the original price. What was the original price?

Answers

Answer:

150

Step-by-step explanation:

x - .14x = 129

.86x = 129   Divide both sides by .86

x = 150

a student eats a dinner containing
[tex]8.0 \times 10 { }^{6} [/tex]
joules of energy. he wishes to do an equivalent amount of work in a nearby gym by lifting a 60kg object. how many times must he raise the object to expand this much energy? assume he raises it a distance of 2.0m each time

Answers

The number of times a student must raise the object to expand the given energy level is 6800 times.

What is work and energy?

Work is defined as transferring energy into an object so that there is some displacement. Energy is defined as the ability to do work. Work done is always the same. Energy can be of different types such as kinetic and potential energy.

Here, W=8.0×10⁶, m=60 kg, g=9.8 ms⁻² and h=2.0 m

We know that, W=mghn

Now, n=W/mgh

n=8.0×10⁶/(60×9.8×2)

= 6800 times

Therefore, the number of times a student must raise the object to expand the given energy level is 6800 times.

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Y=1+sinx/1-sinx find the derivative of this problem

Answers

The derivative of the problem is dy/dx = (2cosx)/(1-sinx)²

How to find the derivative of the function?

The given function is Y=1+sinx/1-sinx

d/dx (u/v) = [u (dy/dx) - v (dv/dx) ] / v²or less formerly

(u/v) =[ [(v (du) = u(dv)] / v²

(Remember the rule in word; " vdu minus udv all over v squared)

So with Y=1+sinx/1-sinx then,

Let u = 1+sin x ⇒du/dx= cos x and

v = 1-sin x⇒dv/dx = -cos x

Then, [d/dx(u/v) = u(dy/dx) - u(dv/dx)] / v²

dy/dx = [(1-sinx)(cosx) - (1+sinx)(-cosx)] / (1-xin x)²

This implies that dy/dx =[ cosx - sin x +cosx +sin xcosx] / (1-sinx)²

Therefore, dy/dx = (2cos x)/(1-sinx)²

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Which of the following represents all solutions (x,y) to the system of equations created by the linear equation and the quadratic equation y=x^2+9

Answers

All solutions to the system of equations created by the linear equation and the quadratic equation y=x^2+9 are (3,18), (-3,-18), (0,9), (-2,13), and (2,13).

To find all solutions to the system of equations created by the linear equation and the quadratic equation y=x^2+9, we need to solve for the intersection of the linear equation and the quadratic equation. The quadratic equation can be rewritten in the form of y=a(x-h)^2+k, where a, h, and k are constants. This equation can be set equal to the linear equation and solved using the quadratic formula. The solutions of this equation are the x-values that correspond to the intersection of the linear equation and the quadratic equation. To find the y-values, we need to substitute the x-values found in the quadratic equation. Therefore, all solutions to the system of equations created by the linear equation and the quadratic equation y=x^2+9 are (3,18), (-3,-18), (0,9), (-2,13), and (2,13).

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FIND SLOPE OF THE EQUATION: 5y - 3x = 12

Answers

I believe this is the answer
We are given an equation in ax+by=c form, and we need to transform it into y=mx+b.

5y-3x=12

Add 3x to both sides:

5y=3x+12

Divide both sides by 5:

5y/5=(3x+12)/5

y=3/5x+12/5

So, the equivalent equation in slope-intercept form is:

y=3/5x+12/5

or

y=.6x+2.4

A jet travels 480 miles in 5 hours. At this rate, how far could the jet fly in 8 hours? What is the rate of speed of the jet?

Answers

Answer:

Step-by-step explanation:

480 miles/5 hours=x miles/8 hours

x=480*8/5

x=768 miles(distance)

480/5=96 mph(speed)

can someone pleaseeeee help me???????

Answers

Answer:

Hello the vertex point is (4, -6)

this parabola opens upwards because the coefficient of x is positive.

The answer is B, good luck!

Answer the question in the photo

Answers

Answer:

16.89 cubic inches

Step-by-step explanation:

r = 2.25/2 = 1.125

h = 4.25

[tex]\pi[/tex] = 3.14

V = h[tex]\pi[/tex]r^2

V = (4.25)*(3.14)*(1.125)^2

V = 16.889765625

question content area top part 1 describe the three methods used to represent a set. give an example of a set represented by each method.

Answers

The three methods which are used to represent a set are word description, roster method and set-builder notation.

What is a set?

The way that sets are represented by a person is always the same which is as a group of clearly defined objects or elements. A capital letter designates a set. The cardinal number of a set is the number of elements in the finite set.

The three methods used to represent a set are as follows;

1. Word description

It is the method of representing a set under which we simply use words for describing the elements of the given set.

For example: A is the set of all natural numbers less than 8.

2. Roster method

It is the method of representing a set under which the elements of the set are listed by separating them with commas and in curly brackets.

For example: A = {1,2,3,4,5,6,7}

3. Set-builder notation

It is the method of representing a set under which only the property of the elements of the given set are written.

For example: A = {x ,x ∈ N and x<8}

Hence, the above stated methods are used to represent a set.

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using the numbers 1-9, at most one time each, fill the blanks to make this equation true. find one solution for this equation.( ) = 81

Answers

The solution for this equation is (3¹)⁴=81.

The power of a number defines how many times to use the number in multiplication, Powers are also called Exponents or Indices.

If the power is positive, multiply the number by itself that many times. If the power is negative, multiply the number's reciprocal by itself that many times. If the power is zero, the result will always be 1.

For example, 8^2 could be called “8 to the power 2” “8 to the second power”, or simply “8 squared”.

A number, ​X​, to the power of 2 is also referred to as ​X​ squared.

X​ is called the base number.

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If d represents the number of days taken to complete the work and p represents the number of people working, the equation that represents this situation is . If 10 people work on this job, they take days to complete it

Answers

Answer:

10d

Step-by-step explanation:

p = d

10p = ?

Cross multiply

(10pd)/p = 10d

Answer:  The equation that represents the situation is d = k/p, where k is a constant.

This equation states that the number of days taken to complete the work (d) is inversely proportional to the number of people working on the job (p).

Given that 10 people work on the job and it takes them d days to complete it, we can substitute these values into the equation:

d = k/10

We don't know the value of k, so we can't find out the number of days it takes with 10 people working.

Step-by-step explanation:

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Purchases TransactionsRolfes Company purchased merchandise on accountfrom Springhill Company for $12,200, terms 1/10, n/30.Rolfes returned merchandise with an invoice amount of$2,400 and received full credit.a. If Rolfes Company pays the invoice within thediscount period, what is the amount of cash required forthe payment? If required, round the answer to thenearest dollar.b. What account is debited by Rolfes Company to recordthe return?? What is another example of situational irony in the story?. What are the 5 physical environmental factors?. the process by which cells grow and divide to produce more cells. this is to help cells grow, repair and replace other cells. What does the word vindication mean in the context of Wollstonecraft's title?. More than 300 rivers drain into Siberia's Lake Baikal, which holds 20 percent of the world's fresh water, more than all the North American Great Lakes combined. A fitness club wants 500 members they already have 225 members each month they add 25 new members help :D do I do f(x) = 225 + 25x = 9 months or what ..... in addition to her sidelights, sternlight, and towing lights, a vessel towing astern carries three white lights in a vertical line when____ all accounts are listed on the unadjusted trial balance regardless of whether there is a balance or not.a. trueb. false JAVA!!!!!!Consider the BankAccount class below.public class BankAccount{private final String ACCOUNT_NUMBER;private double balance;public BankAccount(String acctNumber, double beginningBalance){ACCOUNT_NUMBER = acctNumber;balance = beginningBalance;}public boolean withdraw(double withdrawAmount){/* missing code */}}The class contains the withdraw method, which is intended to update the instance variable balance under certain conditions and return a value indicating whether the withdrawal was successful. If subtracting withdrawAmount from balance would lead to a negative balance, balance is unchanged and the withdrawal is considered unsuccessful. Otherwise, balance is decreased by withdrawAmount and the withdrawal is considered successful.Which of the following code segments can replace /* missing code */ to ensure that the withdraw method works as intended?I.if (withdrawAmount > balance){return "Overdraft";}else{balance -= withdrawAmount;return true;}II.if (withdrawAmount > balance){return false;}else{balance -= withdrawAmount;return balance;}III.if (withdrawAmount > balance){return false;}else{balance -= withdrawAmount;return true;}A I onlyB II onlyC III onlyD I and II onlyE I, II, and III The phospholipid bilayer of membranes allows lipids and small, nonpolar molecules to pass across membranes, but prohibits the passage of ions and polar molecules. This occurs because the phospholipid tails areA. always saturated.B. hydrophilic and hydrophobic.C. a strong stiff barrier.D. hydrophilic.E. hydrophobic and within the membrane. When is a field study more appropriate that a laboratory experiment? Give a specific example. there is a method called checkstring that determines whether a string is the same forwards and backwards. the following data sets can be used for testing the method. what advantage does data set 2 have over data set 1? data set 1 data set 2 aba abba aba bcb bcd group of answer choices all strings in data set 2 have the same number of characters. the strings in data set 2 are all lowercase data set 2 contains one string which should return true and one that should return false. data set 2 contains fewer values than data set 1. there are no advantages. The GDP of country A may be higher than that of country B because the workers in country A work more hours per week than workers in country B.TrueFalse Evaluate the most significant differences in ideas of regional identity in the North and in the South during Reconstruction from 1865 to 1877.Contextualization: if a psychologist is curious about why someone is optimistic (e.g., can perceive a silver lining in even the most terrible situations) versus pessimistic, they are most likely thinking of the aspect of personality. TRUE OR FALSE football coach joe ehrmann, who stresses to his team the value of building relationships, loving one another, and accepting love, is enacting a traitorous identity. What does the excerpt reveal about wells view of capitalism and class in the Britain of his day What is the study of cancer known as?. carlos is a healthy but sedentary college student. he weighs 175 pounds. about how many grams of protein should he consume each day? a. 64 grams b. 84 grams c. 55 grams d. 75 grams