Pls answer its for my final

Pls Answer Its For My Final

Answers

Answer 1

The equivalent expression is (x + 2√3i) (x - 2√3i).

What is a Polynomial Equation?

The equations formed with variables, exponents and coefficients are called as polynomial equations. It can have different exponents, where the higher one is called the degree of the equation.

Given polynomial is,

x² + 12

We need to find it's equivalent expression for that see the options

Solve the option (a)

(x + 2√3i) (x - 2√3i)

Now, solve this if we get equal to x² + 12 that means that option is answer

x(x - 2√3i) + 2√3i(x - 2√3i)

x² - 2xi√3 + 2xi√3 -  2√3i *  2√3i

x²  -  12 i²

we know, i² = -1

so, we get

x² + 12

We get the answer by 1st option. If you solve other options you'll get different answer.

Hence, the equivalent expression is (x + 2√3i) (x - 2√3i).

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Related Questions

Find the missing number so that the equation has infinitely many solutions.



–2x + 8= __x + 8

a
3
b
-4
c
8
d
-2

Answers

Answer:

-2

Step-by-step explanation:

If both sides are identical, there will be infinitely many solutions.

Mark and Aly were selling slices of pizza for a school event. Mark had 2 1/3
of a pizza pie left over. Aly had 1 5/9 left.

Together, how much pizza did Mark and Aly have left?

Answers

Answer:

11/9

Step-by-step explanation:

If this is an addition question then this is your answer.

A phone company offers two monthly plans plan a cost $19 plus an additional $0.11 for each minute of calls plan b has no initial fee but costs $0.15 for each minute of costs For what amount of calling do the two plans cost the same? What is the cost when the two plans cost the same?

Answers

When the costs of the two plans are equal, plan A will cost $37.81, whereas plan B will cost $25.65.

To find the number of calls at which the two plans cost the same, we need to set the costs equal to each other and solve for the number of minutes. The cost of plan A is $19 + $0.11 per minute, and the cost of plan B is $0.15 per minute. Setting these equal to each other, we get:

$19 + $0.11 per minute = $0.15 per minute

We can then solve for the number of minutes by dividing both sides by the per-minute cost:

$19 / $0.11 per minute = $0.15 per minute / $0.11 per minute

This simplifies to:

171 minutes = 135 minutes

Therefore, the two plans cost the same at 171 minutes of calling.

To find the cost at this point, we can substitute 171 minutes back into either of the original cost equations:

Plan A: $19 + $0.11 per minute × 171 minutes = $19 + $18.81 = $37.81

Plan B: $0.15 per minute × 171 minutes = $25.65

Thus, the cost when the two plans cost the same is $37.81 for plan A and $25.65 for plan B.

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Line p passes through points (8, 7) and (4, 4). Line q is parallel to line p. What is the slope of line q?

Answers

Answer:

slope of line q = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

calculate the slope of line p using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 7 ) and (x₂, y₂ ) = (4, 4 )

m = [tex]\frac{4-7}{4-8}[/tex] = [tex]\frac{-3}{-4}[/tex] = [tex]\frac{3}{4}[/tex]

• Parallel lines have equal slopes

then slope of line q = [tex]\frac{3}{4}[/tex]

Please help me with this! Thank you so much ahead!

Answers

The area of the shaded region will be equal to 120 square cm.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the sides of the rectangle are 24 cm and 10 cm. The area of the shaded region will be calculated by subtracting the area of the whole rectangle and the area of the triangle which is not shaded.

Area of the shaded region = ( 24 x 10 ) - ( 1/2 x 24 x 10)

Area of the shaded region = 240 - 120

Area of the shaded region = 120 square cm

Therefore, the area of the shaded region will be equal to 120 square cm.

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The arts & crafts club is selling candles to raise money. It costs $100 to rent a booth to sell the candles in. Materials to decorate the booth cost $32.50. The candles cost $2.50 each to make and the club sells them for $5 each. How many candles must be sold to break even?

Answers

We know that we need to sell out 53 candles to break even using mathematical operations.

What are mathematical operations?

The process of calculating a value using operands and a math operator is known as a mathematical "operation."

The provided operands or integers must follow certain established rules that are associated with the math operator's symbol.

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, and Addition Subtraction (from left to right).

So, the total expense of the shop:

$100 + $32.50 = $132.50

No, the candle costs $2.50.

The selling price of a candle is $5.

Profit in each candle is: 5 - 2.50 = $2.50

A number of candles that we need to sell to break even are:

132.50/2.50

53

Therefore, we know that we need to sell out 53 candles to break even using mathematical operations.

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Suppose 41% of the registered voters in a country are Republican. If a sample of 488 voters is selected, what is the probability that the sample proportion of Republicans will be greater than 44%?

Answers

The probability that the sample's Republican percentage will be higher than 44% is 0.089.

What is probability?

Probability is a metric used to express the possibility or chance that a particular event will occur.

Probabilities can be expressed as fractions from 0 to 1, as well as percentages from 0% to 100%.

To determine the probability of a sample proportion, the normal probability is used as the z-test statistic of one sample proportion.

When the sample size is big, the z-test statistic, a normal test statistic, is employed.

So, the probability will be:

We know that the sample size is n = 488 and the proportion is p = 0.41.

Now, obtain P(p > 0.44) as follows:

[tex]\begin{aligned}& P(\hat{p} > 0.44)=1-P\left(\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}} \leq \frac{0.44-p}{\sqrt{\frac{p(1-p)}{n}}}\right) \\& P(\hat{p} > 0.44)=1-P\left(Z \leq \frac{0.44-0.41}{\sqrt{\frac{0.41(1-0.41)}{488}}}\right) \\& P(\hat{p} > 0.44)=1-P(Z \leq 1.347)\end{aligned}[/tex]

Excel function for the p-value:

P(p > 0.44) = 1 - 0.911

P(p > 0.44) = 0.089

Therefore, the probability that the sample's Republican percentage will be higher than 44% is 0.089.

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A parachutist's rate during a free fall reaches 55 meters per second. What is this rate in feet per second? At this rate, how many feet will the parachutist fall during 15 seconds of free fall? In your computations, assume that meter is equal to 3.3 feet. Do not round your answers.

Answers

The speed is 181.5 feet per second. Then the parachutist fall during 15 seconds of free fall will be 2,722.5 feet.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

A parachutist's rate during a fast drop arrives at 55 meters each second. In your calculations, accept that the meter is equivalent to 3.3 feet.

Convert the speed into feet per second. Then we have

S = 55 x 3.3

S = 181.5 feet per second

The parachutist fall during 15 seconds of free fall will be given as,

D = 181.5 x 15

D = 2,722.5 feet

The speed is 181.5 feet per second. Then the parachutist fall during 15 seconds of free fall will be 2,722.5 feet.

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6. Mrs. Ramirez' groceries cost $50 before tax, and the total including sales tax was $55. What is
the sales tax rate that Mrs. Ramirez paid?

Answers

Answer:sales tax rate would be 0.1

using the formula

Sales tax rate = Sales tax percent / 100

A Question 9 (2 points) Retake question
Evaluate the function f(x), if f(x) = 4x - 2, what is the value of f(3)?
Enter your answer in the box below.
f(3) =
A

A Question 10 ( 2 points) Retake question
A function f(x) is graphed on the coordinate plane. What is the function rule in slope-intercept form?
- Rule written in function notation (1 point)
- Correct slope and intercept (1 point)

Answers

The new version of this is the first app that I’ve ever

Find the area of the circle with a diameter of 6.1

Answers

29.22 used my app srry if it’s wrong

You intend to estimate a population proportion with a confidence interval. The data suggests that the normal distribution is a reasonable approximation for the binomial distribution in this case.

Find the critical value that corresponds to a confidence level of 99.9%.
(Report answer accurate to three decimal places with appropriate rounding.)

Answers

The critical value that corresponds to a confidence level of 99% is, 2.58.

What is a 3 decimal place number?

1 decimal place (tenths) 2 decimal places (hundredths) 3 decimal places (thousandths) 4 decimal places (ten-thousandths)

Consider a random variable X that follows a Binomial distribution with parameters, sample size n and probability of success p.It is provided that the distribution of proportion of random variable X, , can be approximated by the Normal distribution.The mean of the distribution of proportion is, The standard deviation of the distribution of proportion is, .Then the confidence interval for the population proportion p is:

The confidence level is 99%.

The significance level is:

Compute the critical value as follows:

That is:

Use the z-table for the z-value.

For z = 2.58 the P (Z < z) = 0.995.

And for z = -2.58 the P (Z > z) = 0.005.

Thus, the critical value is, 2.58.

active attachment

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 87.3% of confidence, our significance level would be given by  and . And the critical value would be given by:And we can use the following excel codes to find the solution:

"=NORM.INV(0.0635,0,1)"

"=NORM.INV(1-0.0635,0,1)"

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  The margin of error is the range of values below and above the sample statistic in a confidence interval.  Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  The population proportion have the following distribution  (assuming the normal approximation)Solution to the problemThe confidence interval for the mean is given by the following formula:  In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 87.3% of confidence, our significance level would be given by  and . And the critical value would be given by:

And we can use the following excel codes to find the solution:

"=NORM.INV(0.0635,0,1)"

"=NORM.INV(1-0.0635,0,1)"

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A teacher gives students independent reading 1/2 time for 1 hour,three times a week.Represent the total amount of reading time for a week as a mixed number and an improper fraction.

Answers

The reading time calculated to be

1 1/2 represented as mixed fraction3/2 represented as improper fraction

How to determine the the reading time

The problem involves multiplication of fractions

The fraction required are:

let the reading time be x

1/2 time for 1 hour = 1/2 * x = x/2

three times a week

= x/2 * 3

= 3x/2

The reading time is 3/2 improper fraction and 1 1/2 mixed fraction

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Jenny has decided that she can afford a monthly mortgage payment of $390. She has been offered a 3.5% 20 year mortgage from her bank. What formula could you type into Excel to determine what the largest mortgage loan she can afford?

Answers

The biggest mortgage loan Jenny can afford will be determined using the Excel formula PV(.035/12, 15*12, -485) in the situation that has been provided.

What are excel formulas?

A formula in Microsoft Excel is an expression that modifies values in a set of cells.

Even if the result is incorrect, these formulas nonetheless return a result.

We may execute calculations like addition, subtraction, multiplication, and division using Excel formulae.

To make complex computations simpler, Excel features prewritten formulas known as functions.

A function takes one or more values, runs an operation, and then outputs the outcome to a cell.

Arguments are the values that you pass to a function.

So, in the given situation of Jenny, the excel formula PV(.035/12, 15*12, -485)will be used to determine the largest mortgage loan she can afford.

Therefore, the biggest mortgage loan Jenny can afford will be determined using the Excel formula PV(.035/12, 15*12, -485) in the situation that has been provided.

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Complete question":
Jenny has decided that she can afford a monthly mortgage payment of $390. She has been offered a 3.5% 20-year mortgage from her bank. What formula could you type into Excel to determine the largest mortgage loan she can afford is?

(A) PV(.035/12, 15*12, -485)

(B) PMT(.035/12, 15*12, -485)

(C) PV(.035, 15*12, -485)

(D) 390*.035/20

The owner of a landscaping business wants to know how much time, on average, his workers spend mowing one lawn. Which is the most appropriate rate with which to calculate an answer to his question?
lawns per employee
hours per lawn
employee per lawn
lawns per day

Answers

The mowing takes hours hence, the best rate is hours per lawn. Hence the correct option is option 1. It can be solved by rate of work.

The rate lawns per employee gives the lawns mowed by one employee.

The rate hours per lawn gives the number of hours required to mow one lawn.

The rate employee per lawn gives how many employees are required to mow one lawn.

The rate lawns per day gives the number of lawn mow in one day.

Since the mowing takes hours hence, the best rate is hours per lawn. Hence the correct option is option 1.


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if 3 -letter words'' are formed using the letters a, b, c, d, e, f, g, how many such words are possible for each of the following conditions:

Answers

The possible number of 3 -letter words that can be formed with given conditions.

(a) No condition is imposed: 343

(b) No letter can be repeated in a word: 210

(c) Each word must begin with the letter 'a' : 49  

(d) The letter 'c' must be at the end: 49

(e) The second letter must be a vowel: 98

In this question we have been given that 3 -letter words' are formed using the letters a, b, c, d, e, f, g.

We need to find the possible number of 3 -letter words that can be formed with given conditions.

(a) No condition is imposed.

the possible number of 3 letters words would be,

7³ = 343

(b) No letter can be repeated in a word.

Using the formula of Permutation,

^{7}P_3 = 7!/(7 - 3)!

             = 210    

(c) Each word must begin with the letter a.  

If each word begins with letter 'a' there would be possible combinations of remaining 6 letters at 2nd and 3rd position of 3-letter word.

So, the possible number of 3 letters words would be,

7² = 49  

(d) The letter c must be at the end.

If each word ends with letter c there would be possible combinations of remaining 6 letters at 1st and 2nd position of 3-letter word.

So, the possible number of 3 letters words would be,

7² = 49  

(e) The second letter must be a vowel.

In the 3 letter word, the second letter must be vowel which is either a or e.

So, the possible number of 3 letters words would be,

49 + 49 = 98

Therefore, the possible number of words would be (a) No condition is imposed: 343

(b) No letter can be repeated in a word: 210

(c) Each word must begin with the letter 'a' : 49  

(d) The letter 'c' must be at the end: 49

(e) The second letter must be a vowel: 98

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The complete question is:

3 -letter words'' are formed using the letters a, b, c, d, e, f, g. How many such words are possible for each of the following conditions?

(a) No condition is imposed.

(b) No letter can be repeated in a word.

(c) Each word must begin with the letter a.

(d) The letter c must be at the end.

(e) The second letter must be a vowel.

A water tank initially contained 111 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute.
How many minutes have passed, m, when the tank contains 194 liters? Round to the nearest hundredth.

Answers

Answer:

9.22 minutes

Step-by-step explanation:

You could use the form y=mx + b to find this equation

y will represent the total liters

x will represent the total number of minutes

b will represent the initial number of liters in the beginning

1. Plug 194 in for y, plug 9 in for m, put 111 in place of b

The equation should look be:  [tex]194 = 9x + 111[/tex]

2. Solve the equation

3. Subtract 111 on both sides. The equation would now be:  [tex]83 = 9x[/tex]

4. Divide both sides by 9 (to get x by itself). [tex]\frac{83}{9} = 9.22222222[/tex]

5. Round to the nearest hundredth place to get 9. 22 minutes

Rahim is saving for a new bike which will cost $1600. Rahim earns $3000 per month. Rahim spends his money on bills, food and extras in the ratio 6:4:2. Of the money he spends on extras, and puts 20% into his savings account to buy his bike. How long will it take rahim to save for his new bike​

Answers

Answer:

it will take rahim 16 months

Step-by-step explanation:

6:4:2

3000÷12=250

1500:1000:500

20% 100

100×16=1600

What is the rate of change of the function y=-5x+3

Answers

Answer:

-5

Step-by-step explanation:

The rate of change, also known as slope, would be -5.

Slope can be found with two points and the formula y minus y divided by x minus x or the change of y divided by the change in x.

To identify the slope on the equation is easy since this is slope-intercept form.

y=mx+b

where m is the slope

m in this case is -5, so -5 is your answer

-5 rate of change is the same as the slope

If the ratio of perimeters is 2:9, then the ratio of areas is?
Group of answer choices

2:9

5:21

4:81

8:729

Answers

Answer:

4:81

Step-by-step explanation:

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The ratio of area of squares is 4:81. Therefore, option C is the correct answer.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of perimeters of a squares is 2:9.

We know that, perimeter of square is 4a, where a is side of a square

Now, 4x/4y =2/9

x/y =2/9

As we know area of square is a², where a is side of a square

So, x²/y² =2²/9²

x²/y² =4/81

The ratio of area of squares is 4:81. Therefore, option C is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

If the ratio of perimeters of a squares is 2:9, then the ratio of their areas is

A) 2:9

B) 5:21

C) 4:81

D) 8:729

If I earn one dollar every second how many hours would it take for me to get to 230,000 dollars?​

Answers

Answer:

It will take 64 hours

Step-by-step explanation:

It will be more specifically 63.889 hours, but rounding up it's 64

9. ΔRWS ≅ ΔTUV
Find the values of x and y

Answers

[tex]VT=SR \implies 3y+7=25 \implies \boxed{y=6} \\ \\ \\ ○\ m\angle UTV=180^{\circ}-90^{\circ}-29^{\circ}=61^{\circ} \\ \\ \angle WRS \cong \angle UTV \implies 8x-27=61 \implies \boxed{x=11}[/tex]

what would 10 possibly be? please help me thank u :)




- have a wonderful day/ night <3

Answers

The distance is 244.56 feet, in feet, between point K and point L.

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Recall the Pythagorean theorem formula:

a² + b² = c²

Given that Kim is standing on the deck, point k, which is 140.75 feet above ground level.

Louise point L, is standing 200ft from the base of the lighthouse directly below Kim’s position.

Thus the distance, in feet, between point K and point L

Replacing by the values we have;

200 ² + 140.75² = KL²

KL² = 59810.56

KL = 244.56

The distance is 244.56 feet, in feet, between point K and point L.

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Using rectangles whose height is given by the value of the function at the midpoint of the rectangle's base, estimate the area under the graph using first two then four rectangles.f(x)=x^3 between x=0 and x=1

Answers

The area under the graph using the first two and then four rectangles = 0.221 unit square

According to the graphs given in the below figure,

Given in the question,

f(x) = [tex]x^{3}[/tex] when x = 0 and x = 1

The first rectangle of the first graph goes from 0 to 0 .6,

Width = 0.6

Height measured from the middle point = 0.3

f( 0.3) = [tex]( 0.3)^{3}[/tex]

f(0.3) = 0.027 units.

Area of first rectangle = 0.6 x 0.027 = 0.0162 unit square

Now taking the second rectangle of the first part,

It is going from 0.6 to 1.0,

Width = 0.4 units

height = 0.8 units

Height measured from the middle-

f(0.8) = [tex](0.8)^{3}[/tex] = 0.512

Area of the second part of the rectangle = 0.512 x 0.4

= 0.2048 unit square

Final area = 0.2048 + 0.0162 = 0.221 square units

Therefore, the same could be done with the second part rectangle of 4

For the given first part of four rectangles = width = 0.6 units and height = 0.1 unit

so f(0.1) = [tex]0.1^{3}[/tex]

= 0.001 units

Therefore, the area under the graph using the first two and then four rectangles = 0.221 unit square

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Help asap
Brainliest to best answer

Answers

7) ∠EFG = 88 degree

8) DC and AB are parallel to each other.

AE and AB are perpendicular to each other

CG and AB are perpendicular to each other.

9) ∠ACD = 102 degree

What do you mean by co interior angle?

Co-interior angles, or consecutive interior angles, are two angles on the same side of a transverse line. Co interior angles are interior angles that add up to 180 degrees. This means that the sum of the two interior angles on the same side of the horizontal side are complementary.

7) Given :

∠EFG = 32 degree

∠GFH = 56 degree

∠EFG = ∠EFG + ∠GFH = 32 + 56 = 88 degree

Therefore, ∠EFG = 88 degree

8) DC and AB are parallel to each other.

AE and AB are perpendicular to each other

CG and AB are perpendicular to each other.

9) As AB and CD are parallel to each other therefore , ∠BAC and ∠ACD are cointerior angle and sum of co interior angles is 180 degree.

6x + 6 + 9x - 6 = 180

15x = 180

x = 180/15 = 12

∠ACD = (9x - 6) degree = 9(12) - 6 = 108 - 6 = 102

Therefore, ∠ACD = 102 degree

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Factor a²+4 b² completely.
a²+4b²=_____

Answers

Answer: The expression a²+4b² can be factored in the following way:

a²+4b² = (a² + 2ab + 2ab + 4b²)

= (a+b)²

In general, the square of a binomial (a+b) can be written as (a+b)² = a² + 2ab + b². This is known as the "square of a sum" formula. In this case, we can apply this formula to the binomial a+b to obtain a² + 2ab + b² = (a+b)². We can then use the fact that the square of a binomial can be written as the square of each term plus twice the product of the two terms. This allows us to write the expression as (a+b)² = a² + 2ab + b² = a² + 2ab + 2ab + 4b² = (a² + 2ab + 2ab + 4b²) = (a²+4b²). Therefore, the fully factored form of a²+4b² is (a+b)².

twice the number of x

Answers

The answer should be 2x if it’s wrong srry

Solve the system using substitution.
5x + 3y = -4
y - 2x = 6
([?], [ ])

Answers

First we isolate y in the second equation since it’s the easiest. We do this by adding 2x
Y=2x+6
Now we can input this and substitute for equation 1
5x+3(2x+6)=-4
So we distribute to get
6x+ 18 within the parentheses
We add or subtract like terms such as 5x +6x to get 11x
-4-18=-22
Now we have 11x=-22
Divide by 11
X= -2
Now we plug this into equation 2 to solve for y
Y-2(-2)=6
Y+4=6
Subtract 4
Y=2
So
(-2,2) is the answer
Hope this helped

The corner convenience store sells candy in 20 c, 30 c, and 50 c packages, List all the ways in which Waylon can spend exactly $3.00 on candy.

Answers

The possible ways the corner convenience store can sell candy packages to spend at least $3.00 is

How to solve equations?

An equation is a mathematical model showing the equality of two opposite sides or an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given parameters are

20c, 30c and 50c

Least cost =$3

Let the possible ways be x

20x+30x+50x=3.00

Solving the equation we have:

100x=3.00

make x the subject

100x=3

x=3/100

This can be expressed in decimal as 0.03

In conclusion, he can sell it in 3/100 or 0.03 ways to spend at least $3.00 on a candy.

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59% of all the town's residents own a dog and 70% own a cat. Of the dog owners 42% also own a cat. If a town resident is chosen at random find: (round to 4 decimal places where possible)

Answers

The probability that a resident own a cat or a dog is 48%

How to determine the probability a resident own a cat or a dog

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

P(Own a cat) = 70%

P(Own a dog) = 59%

P(Own a cat and a dog) = 42%

The probability a resident own a cat or a dog is then calculated as

Probability a resident own a cat or a dog = P(Own a cat) + P(Own a dog) - P(Own a cat and a dog)  

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

Probability a resident own a cat or a dog = 70% + 59% - 42%

Evaluate the sum and the difference

Probability a resident own a cat or a dog = 48%

Hence, the probability is 48%

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Complete question

59% of all the town's residents own a dog and 70% own a cat. Of the dog owners 42% also own a cat. If a town resident is chosen at random find:

the probability a resident own a cat or a dog

(round to 4 decimal places where possible)

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