Shantels net worth is 5,480.80 dollars.Her liabilities are 3,260.60.If she increases her assets by 10% and decreases her liabilities by 10%, what is her net work ​

Answers

Answer 1

Answer:

6681.00

Step-by-step explanation:

Given

Net worth = 5480.80Liabilities = 3260.60

Assets = Liabilities + Net worth

Assets = 5480.80 + 3260.60 = 8741.40

If assets increase by 10% and liabilities decrease by 10%, then net worth is:

(8741.40 + 10%) - (3260.60 - 10%) =8741.40*1.1 - 3260.60*0.9 =6681.00

Related Questions

You have several options to add to your brand new car: leather seats, heated seats, sunroof, tinted windows, and back up camera. How many different ways can the car be built?

Answers

Answer:

The number of different ways the car can be built is 31 different ways

Step-by-step explanation:

The given options are'

1), Leather seats, 2) Heated seats, 3) Sunroof, 4) Tinted windows, 5), back up camera

Therefore, the number of different ways the car can be built, n, is given as follows;

n = ₅C₁  + ₅C₂ + ₅C₃ + ₅C₄ + ₅C₅

n = 5 + 10 + 10 + 5 + 1 = 31 different ways

The number of different ways the car can be built = n = 31 different ways

Will mark Brainliest!



In Square PQRS with diagonal PR of 100 meters. Based on this information


what is the Perimeter of the square?

Answers

The perimeter of the square is 400 meters.

In a square, all sides are equal in length. Since the diagonal PR of the square is given as 100 meters, we can use the Pythagorean theorem to find the length of one side.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.

In this case, the length of one side is equal to the square root of half the square of the diagonal, which is sqrt((100^2)/2) = sqrt(5000) = 70.71 meters.

Since all sides of the square are equal, the perimeter is four times the length of one side, which is 4 * 70.71 = 282.84 meters.

Rounded to the nearest meter, the perimeter of the square is 400 meters.

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find the measure of angle A

find the measure of angle A

Answers

Answer:

55

Step-by-step explanation:

all angles shoudl equal 180. 180-80=100// 100= (x+67)+(x+57)// 100=2x+124// -24=2x//x=-12// -12+67= 55

My question is in the picture, answer it I’ll give you BRAINLIEST and your getting rewarded 50 POINTS.

My question is in the picture, answer it Ill give you BRAINLIEST and your getting rewarded 50 POINTS.

Answers

Answer:

y-187.50= 1.50(x-125)

this is in point slope, but in slope intercept it would be y=1.50x+0

Step-by-step explanation:

Answer:

\(y-187.50=1.50(x-125)\)

Step-by-step explanation:

Slope = $1.50

\(x=125\)

\(y=$187.50\)

A study was begun in 1960 to assess the long-term effects of smoking Cuban cigars. The study was conducted as part of a public health initiative among residents of Ontario, Canada. Five thousand adults were asked about their cigar smoking practices. After 20 years, these individuals were again contacted to see if they developed any cancers, and if so, which ones. This is an example of a A. Cross-sectional study B. Prospective cohort study C. Retrospective cohort study D. Case-control study E. Randomized clinical trial A major pharmaceutical company is interested in studying the long-term neurological effects of an anesthetic agent that was discontinued ("pulled off the market") in 2000. The plan is to identify patients who received the drug before it was discontinued (via drug administration records) and assess the outcome of subsequent neurological disorder (from physician office visit records) from the years 2010-2020. An effective study design to attempt answering this question would be A. Cross-sectional study B. Prospective cohort study C. Retrospective cohort study D. Case-control study E. Randomized clinical trial Investigators are interested in assessing the prevalence of obesity and diabetes among adolescents. They decide to conduct a survey among high school students during their junior year, asking the students about their current weight and whether they have diabetes, among other questions. This is an example of a A. Cross-sectional study B. Prospective cohort study C. Retrospective cohort study D. Case-control study E. Randomized clinical trial

Answers

The first scenario described is an example of a retrospective cohort study.  The second scenario suggests a retrospective cohort study as well. The third scenario represents a cross-sectional study, where researchers conduct a survey among high school students to assess the prevalence of obesity and diabetes.

1. In the first scenario, a retrospective cohort study is conducted by tracking individuals over a 20-year period. The study begins in 1960 and collects data on cigar smoking practices. After 20 years, the participants are followed up to determine if they developed any cancers. This type of study design allows researchers to examine the long-term effects of smoking Cuban cigars.

2. The second scenario involves a retrospective cohort study as well. The objective is to study the long-term neurological effects of a discontinued anesthetic agent. The researchers identify patients who received the drug before it was discontinued and then assess the occurrence of subsequent neurological disorders. This study design allows for the examination of the relationship between exposure to the anesthetic agent and the development of neurological disorders.

3. The third scenario represents a cross-sectional study. Researchers aim to assess the prevalence of obesity and diabetes among high school students during their junior year. They conduct a survey to gather information on the students' current weight, diabetes status, and other relevant factors. A cross-sectional study provides a snapshot of the population at a specific point in time, allowing researchers to examine the prevalence of certain conditions or characteristics.

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Solve the system by substitution x=9 and x-5=20

Answers

Answer:

If you put 9 in the equation instead of x the equation won’t be true

Step-by-step explanation:

You make $10 on the first day, $20 on the second day, $40 on the third day, $80 on the fourth day, and so on. What is your total income on the 10th day?

Answers

The answer to this question is 5,120 you have to multiply by 2

Let U = {(x, y, z) € R^3 | x + 2y – 3z =0}. a) (2pt) Show directly (by verifying the conditions for a subspace) that U is a subspace of R^3. You may not invoke results learned in class or from the notes. b) (2pts) Find a basis for U. You must explain your method. c) (1pt) Using your answer from part b) determine Dim(U).

Answers

a) U is subspace of R^3.

b) The set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) 2.

a) To show that U is a subspace of R^3, we need to verify the following three conditions:

i) The zero vector (0, 0, 0) is in U.

ii) U is closed under addition.

iii) U is closed under scalar multiplication.

i) The zero vector is in U since 0 + 2(0) - 3(0) = 0.

ii) Let (x1, y1, z1) and (x2, y2, z2) be two vectors in U. Then we have:

x1 + 2y1 - 3z1 = 0 (by definition of U)

x2 + 2y2 - 3z2 = 0 (by definition of U)

Adding these two equations, we get:

(x1 + x2) + 2(y1 + y2) - 3(z1 + z2) = 0

which shows that the sum (x1 + x2, y1 + y2, z1 + z2) is also in U. Therefore, U is closed under addition.

iii) Let (x, y, z) be a vector in U, and let c be a scalar. Then we have:

x + 2y - 3z = 0 (by definition of U)

Multiplying both sides of this equation by c, we get:

cx + 2cy - 3cz = 0

which shows that the vector (cx, cy, cz) is also in U. Therefore, U is closed under scalar multiplication.

Since U satisfies all three conditions, it is a subspace of R^3.

b) To find a basis for U, we can start by setting z = t (where t is an arbitrary parameter), and then solving for x and y in terms of t. From the equation x + 2y - 3z = 0, we have:

x = 3z - 2y

y = (x - 3z)/2

Substituting z = t into these equations, we get:

x = 3t - 2y

y = (x - 3t)/2

Now, we can express any vector in U as a linear combination of two vectors of the form (3, -2, 0) and (0, 1/2, 1), since:

(x, y, z) = x(3, -2, 0) + y(0, 1/2, 1) = (3x, -2x + (1/2)y, y + z)

Therefore, the set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) Since the basis for U has two elements, the dimension of U is 2.

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∫ xe^kx/ (1+kx)^2 dx where k is a constant. If there are any particular values of k where your method doesn't work, compute those antiderivatives separately.

Answers

The final solution for the integral is:

∫(xe^(kx))/(1+kx)^2 dx = -xe^(1+kx)/(k(1+kx)) + (1/k)∫e^(1+kx)/(1+kx) dx + D

If k = 0, the term (1/k)∫e^(1+kx)/(1+kx) dx simplifies to e^x + E.

To find the integral ∫(xe^(kx))/(1+kx)^2 dx, we can use integration by parts. Let's denote u = x and dv = e^(kx)/(1+kx)^2 dx. Then, we can find du and v using these differentials:

du = dx

v = ∫e^(kx)/(1+kx)^2 dx

Now, let's find the values of du and v:

du = dx

v = ∫e^(kx)/(1+kx)^2 dx

To find v, we can use a substitution. Let's substitute u = 1+kx:

du = (1/k) du

dx = (1/k) du

Now, the integral becomes:

v = ∫e^u/u^2 * (1/k) du

 = (1/k) ∫e^u/u^2 du

This is a well-known integral. Its antiderivative is given by:

∫e^u/u^2 du = -e^u/u + C

Substituting back u = 1+kx:

v = (1/k)(-e^(1+kx)/(1+kx)) + C

 = -(1/k)(e^(1+kx)/(1+kx)) + C

Now, we can apply integration by parts:

∫(xe^(kx))/(1+kx)^2 dx = uv - ∫vdu

                         = x(-(1/k)(e^(1+kx)/(1+kx)) + C) - ∫[-(1/k)(e^(1+kx)/(1+kx)) + C]dx

                         = -xe^(1+kx)/(k(1+kx)) + Cx + (1/k)∫e^(1+kx)/(1+kx) dx - ∫C dx

                         = -xe^(1+kx)/(k(1+kx)) + Cx + (1/k)∫e^(1+kx)/(1+kx) dx - Cx + D

                         = -xe^(1+kx)/(k(1+kx)) + (1/k)∫e^(1+kx)/(1+kx) dx + D

Now, let's focus on the integral (1/k)∫e^(1+kx)/(1+kx) dx. This integral does not have a simple closed-form solution for all values of k. However, we can compute it separately for specific values of k.

If k = 0, the integral becomes:

(1/k)∫e^(1+kx)/(1+kx) dx = ∫e dx = e^x + E

For k ≠ 0, there is no simple closed-form solution, and the integral cannot be expressed using elementary functions. In such cases, numerical methods or approximations may be used to compute the integral.

Therefore, the final solution for the integral is:

∫(xe^(kx))/(1+kx)^2 dx = -xe^(1+kx)/(k(1+kx)) + (1/k)∫e^(1+kx)/(1+kx) dx + D

If k = 0, the term (1/k)∫e^(1+kx)/(1+kx) dx simplifies to e^x + E.

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ASAP!
Which table represents a linear function?

ASAP!Which table represents a linear function?

Answers

OPTION C is the correct answer

As the Value of x increase by 1 , the value of y decreases by 2

ASAP!Which table represents a linear function?

Option C is correct because linear functions have a continuous pattern.

For example, if the values of x are 3, 2, 1, 0, -1, -2, -3..., we have a linear function.

If we have 9,37,-100, then it's not a linear function. In fact, it seems like a set of random numbers.

Hope it helps!

If Option C is Correct, PLEASEE mark Brainliest! ! :)

the kutta-joukowski theorem, equation (3.140), was derived exactly for the case of the lifting cylinder. in section 3.16 it is stated without proof that equation (3.140) also applies in general to a two-dimensional body of arbitrary shape. although this general result can be proven mathematically, it also can be accepted by making a physical argument as well. make this physical argument by drawing a closed curve around the body where the closed curve is very far away from the body, so far away that in perspective the body becomes a very small speck in the middle of the domain enclosed by the closed curve.

Answers

The Kutta-Joukowski theorem, which is represented by equation (3.140), was originally derived for the case of a lifting cylinder. However, it can also be applied to a two-dimensional body of arbitrary shape, as stated in section 3.16.

A more detailed explanation of the answer.
To make a physical argument for this generalization, we can draw a closed curve around the body.

The key is to draw the curve far enough away from the body such that the body appears as a very small speck in the middle of the domain enclosed by the closed curve.

By doing this, we are essentially treating the body as a point object at the center of the curve. Since the body is now a very small speck in comparison to the large domain, its specific shape becomes insignificant to the overall flow around it.

Therefore, the lifting force calculations derived from the Kutta-Joukowski theorem for the lifting cylinder should also apply to the two-dimensional body of arbitrary shape, as long as the body is small in comparison to the domain enclosed by the closed curve.

This physical argument allows us to accept that equation (3.140) can be applied in general to a two-dimensional body of arbitrary shape without requiring a mathematical proof.

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how many days will he cut the last section?

how many days will he cut the last section?

Answers

Solving a linear equation, we will see that after 9 days he cuts the last section.

how many days will he cut the last section?

We know that the initial length of the piece of cloth is 20m, and the taylor each day cuts a piece of 2 meters of it.

So, the length as a function on the number of days, is:

L(x) = 20m - 2m*x

Here we just need to solve:

L(x) = 2m

Because the last cut is when the long piece measures 4 meters (in that case he does one cut and has the two final pieces of 2 meters).

Solving that, we get:

20m - 2m*x = 2m

20m - 2m = 2m*x

18m/2m = x = 9

After 9 days he cuts the last section.

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Help meeeeee with number 6, 8, 10 pls

Help meeeeee with number 6, 8, 10 pls

Answers

6) -x - 4

8) 21ab - 14ac + 28

10)

\( \frac{x - 24}{6} \)

An angle whose measure is _302° is in standard position. In which quadrant does the terminal side of the angle fall?
O Quadrant 1
O Quadrant 11
O Quadrant III
O Quadrant IV

Answers

Answer:

Quadrant IV

Step-by-step explanation:

An angle whose measure is _302° is in standard position the terminal side of the angle fall in Quadrant IV

Quadrant 4 because Q4 is 270 degrees - 360 degrees, which 302 degrees falls between.

Find the missing side of each right triangle. Side c is the hypotenuse. Sides a and bare
the
legs. Round your answers to the nearest tenth if necessary.
a = 8.8 ft, b = 9 ft

Answers

Answer:  12.6 ft

Step-by-step explanation:

a = 8.8 ft

b = 9 ft

c = ?

Since it is a right triangle, we can use the Pythagorean Theorem to solve for missing side c, the hypotenuse.

a^2 + b^2 = c^2

(8.8)^2 + (9)^2 = c^2

158.44 = c^2

(158.44)^(1/2) = c

12.5873 = c

c = 12.6 ft (rounded to the nearest tenth)

When two angles and an included side of one triangle are congruent to the corresponding pieces of another triangle?.

Answers

When 2 angles and an included side of 1 triangle are congruent to the corresponding piece of another triangle, it is said to be in ASA or AAS congruency

What is ASA congruency?

According to the Angle-Side-Angle Postulate (ASA), two triangles are congruent if two angles and the included side of one triangle are congruent with two angles and the included side of another triangle.

And as seen in the figure to the right, we prove that triangle ABC is congruent to triangle DEF by the Angle-Side-Angle Postulate.

What is AAS congruency?

Contrarily, the Angle-Angle-Side Postulate (AAS) states that two triangles are congruent if their respective non-included sides are congruent with two angles from one triangle and two angles from another.

And as seen in the figure to the right, we prove that triangle ABC is congruent to triangle PQR by the Angle-Angle-Side Postulate.

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When two angles and an included side of one triangle are congruent to the corresponding pieces of another
When two angles and an included side of one triangle are congruent to the corresponding pieces of another

Gray started the week with $150 in his checking account. The chart shows the credits and charges to his account during the week.
Credit Charge
$20 $52
$23 $16
$14 $28
How much money did Gray have in his account at the end of the week?
O $3
O $111
$189
$303

Answers

Answer:

111

Step-by-step explanation:

150 + 20 = 170

170 - 52 = 118

118 + 23 = 141

141 - 16 =  125

125 + 14 = 139

139 - 28 = 111

ΔABC is dilated by a scale factor of 3 with the origin as the center of dilation to form ΔA′B′C′. The slope of is -1.2. The length of is p units, the length of is q units, and the length of is r units. The slope of is . The length of is units.

Answers

Answer:

\(3p,3q,3r\)

Step-by-step explanation:

Dilation is not a rigid transformation, for it is not an isometry, hence a dilation produces similar and not congruent figures.

If we have to dilate a \(\bigtriangleup ABC\) with  scale factor of 3, with this centered at its origin,with its sides p, q and r. We'll have \(\bigtriangleup A'B'C'\) having 3p,3q, 3r.

The slope in a Dilation is considered carefully when it is not dilated at its center. Well it is. And we're not dilating line segments, then it'll look like this (check below)

\(D_3(x,y) A'=3A, B'=3B, C'=3C\\\)

So its line segments will be thrice the value of its original triangle as well.

ABC is dilated by a scale factor of 3 with the origin as the center of dilation to form ABC. The slope

Answer:

1.2 and 3q

Step-by-step explanation:

Question content area top
Part 1
Write an equivalent expression without parentheses. Then simplify the result.
m−​(8−​3m)

Answers

using exponents, On simplifying the equation, we get =4m+8.

The PEMDAS order of operations must be followed when you want to simplify a mathematical equation without using parenthesis (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There are no parenthesis in the expression, so you may start looking for exponents. If it does, first make that simpler.

What is the main objective of simplification?

Work simplification is to develop better work processes that boost output while cutting waste and costs.

What does simplifying mean in algebra?

Simplifying an expression is the same as solving a mathematical issue. When you simplify an equation, you essentially try to write it as simply as you can. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.

Given equation,

m-(8-3m)

=m-8+3m

=4m+8

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i need help with the picture below!!

i need help with the picture below!!

Answers

Answer:

D

Step-by-step explanation:

It is in the middle of -9 and -8 therefore the awnser is -8.5

I need help on this question thanks

I need help on this question thanks

Answers

Answer:

length of arc YPX=πrtheta /180

given radius =8m

= π(8)(360-90)/180=π(8)(270)/180=12πm

In an analysis of variance where the total sample size for the experiment is nTand the number of populations is k, the mean square due to error is SSE/(k-1). 0 SSTR/k

Answers

The ANOVA method is very useful when conducting research involving multiple groups or populations, as it allows researchers to test for significant differences in the means of multiple populations in a single test.

Analysis of variance is an extremely popular approach for examining the significance of population variations. It's used to estimate the population variance of two or more groups by comparing the variance between the groups to the variance within them.

ANOVA (analysis of variance) is a statistical method for determining whether or not there is a significant difference between the means of two or more groups. The total sample size in the experiment is nT, and there are k populations. The mean square due to error is SSE/(k-1), while the mean square due to treatment is SSTR/k.

The F-statistic, which is used to test the null hypothesis that there is no difference between the means of the populations, is calculated by dividing the mean square due to treatment by the mean square due to error. If the F-statistic is high, it suggests that there is a significant difference between the means of the populations, and the null hypothesis should be rejected.

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What is 3.18 written as a rational?

Answers

Answer:

\(\frac{318}{100}\)

Step-by-step explanation:

A rational number can be expressed as

\(\frac{a}{b}\) ← where a and b are integers

The 8 in 3.18 is in the hundredths position, thus

3.18 = \(\frac{318}{100}\) ← as a rational number

7. Two friends worked out on treadmills at the gym. Laura walked 7 miles in
1.75 hours. Ricki walked 12 miles in 2 hours. How much faster did Ricki
walk? *
0.25 mile per hour faster
2 miles per hour faster
They walked the same speed.
He didn't, Leo walked faster.

Answers

Answer:

Step-by-step explanation:

Laura walked 7/1.75=4 miles per hour

Ricky walked 12/2=6 miles per hour

Ricki is 2 miles per hour faster

Roman purchased 2 1/2 pounds of chocolate covered peanuts for $9.75 what was the price per pound?

Answers

Answer:

$3.90

Step-by-step explanation:

2 1/2 pounds = 2.5 pounds

To determine the price per pound, divide $9.75 by 2.5:

\(\sf \dfrac{9.75}{2.5}=3.9\)

Therefore, the price per pound was $3.90

Line a has a slope of
perpendicular?
parallel
Submit
-8
5
8
Line b has a slope of Are line a and line b parallel or
perpendicular
neither

Line a has a slope ofperpendicular?parallelSubmit-858Line b has a slope of Are line a and line b parallel

Answers

Line a and line b are neither parallel nor perpendicular.

We have,

If the slope of two lines is the same, the lines are parallel.

If the slope of one line is negatively reciprocal of the other slope of another line, the lines are perpendicular.

Now,

m1 = -8/5

m2 = 8/5

We see that,

m1 = -1/m2

-8/5 = -5/8

Not true.

Thus,

Line a and line b are not parallel nor perpendicular.

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The minute hand on an analog clock is 6 inches long. How far does the tip of the minute hand travel as time goes from 6:35 to 6:45?

Answers

we know that

The clock represent a complete circle

The circumference of a circle is giving by the formula

C=2pi r

where

r is the radius of the circle

In this problem

The radius of the circle is equal to the length of the minute hand

so

r=6 in

C=2pi(6)

C=12pi in

The length of the complete circle subtends a central angle 0f 360 degrees

Find out what is the central angle for 10 minutes (6:35 to 6:45)

we know that

6 hours represent 90 degrees

so

1 hour represent 15 degrees

1 hour represent 60 minutes so

divide by 6

15/6=2.5 degrees

therefore

using proportion

12pi/360=x/2.5

solve for x

x=12pi(2.5)/360

use 3.14 as pi

x=12(3.14)(2.5)/360

x=0.26 inches

The answer is 0.26 inches

Find the Laplace transform of the given function. (t)-{: 01277 1, 0

Answers

The Laplace transform of the given function \((t)-{: 01277 1, 0\)is given by:

\(L{(t)-{: 01277 1, 0} = L{(t - 1)e^(-2t) u(t - 1)} + L{e^(-2t) u(t)}\) where u(t) is the unit step function.

Step-by-step solution is given below: Given function is (t)-{: 01277 1, 0Laplace transform of the given function is \(L{(t)-{: 01277 1, 0}=L{(t-1)e^-2t u(t-1)}+L{e^-2t u(t)}\) Where u(t) is the unit step function.

We have to find the Laplace transform of the given function.\((t)-{: 01277 1, 0 = (t-1)e^-2t u(t-1) + e^-2t u(t)\)Laplace Transform of \((t-1)e^-2t u(t-1) = L{(t-1)e^-2t u(t-1)}= e^{-as} * L{f(t-a)} = e^{-as} * F(s)So, (t-1)e^-2t u(t-1) = 1(t-1)e^-2t u(t-1)\)

Taking Laplace transform on both sides,\(L{(t-1)e^-2t u(t-1)} = L{1(t-1)e^-2t u(t-1)}= e^{-as} * L{f(t-a)}= e^{-as} * F(s)= e^{-as} * L{e^{at}f(t)}= F(s-a) = F(s+2)\)(On substituting a = 2)

Now, Let's solve \(L{e^-2t u(t)}\)

Taking Laplace transform on both sides,\(L{e^-2t u(t)}= e^{-as} * L{f(t-a)}= e^{-as} * F(s)= e^{-as} * L{e^{at}f(t)}= F(s-a) = F(s+2)\) (On substituting a = 2) Laplace transform of the given function L{(t)-{: 01277 1, 0}= L{(t-1)e^-2t u(t-1)} + L{e^-2t u(t)}= F(s+2) + F(s+2)= 2F(s+2)= 2L{e^-2t} = 2 / (s+2)

Hence, the Laplace transform of the given function is 2 / (s+2) which is a transfer function of a system with a first-order differential equation.

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Which answer is an equation in point-slope form for the given point and slope? Point: (-4,1); slope: 7

Which answer is an equation in point-slope form for the given point and slope? Point: (-4,1); slope:

Answers

Answer:

y-1=7(x+4)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=7(x-(-4))

y-1=7(x+4)

Joe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat and choose two names without looking.

What subset of the sample space, A, represents the complement of the event in which Joe plays in the first match?

A = {KL}
A = {KJ, KL}
A = {KL, LK}
A = {KJ, KL, LJ}

Answers

Answer:

A = {KL}

Step-by-step explanation:

The subset of the sample space that represents the complement of the event in which Joe plays in the first match is A = {JL, KL}

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The sample space of this experiment consists of all possible ways of choosing two names from a group of three.

Since the order in which the names are chosen does not matter, the size of the sample space is given by the number of combinations of 3 things taken 2 at a time, which is 3.

The three possible outcomes are: {JK, JL, KL}.

If we want to find the complement of the event in which Joe plays in the first match, we need to find the outcomes in which Joe does not play in the first match.

There are two such outcomes: JL and KL.

Therefore, the subset of the sample space that represents the complement of the event in which Joe plays in the first match is A = {JL, KL}

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