the cost, c(x) for a taxi ride is given by c(x) = 3x + 2.00 where x is the number of minutes.
on a piece of paper, graph c(x) = 3x + 2.00. then determine which answer matches the graph you drew, including the correct axis labels.

The experiment you described is an example of a comparative study, specifically comparing the ability of dogs to track the movements of white objects versus red objects.

The study you described is designed to investigate whether dogs have a preference or show any difference in their ability to catch a bright red disk or a plain white disk. Fifteen experienced "disk dogs" are given the opportunity to catch both red and white disks, with each disk thrown 10 times for each dog. The proportion of red disks caught to the proportion of white disks caught is then compared for each dog. The study design ensures that the sequence of red and white disks is determined randomly to eliminate any potential biases. By analyzing the data collected, the researchers can determine if dogs have a higher success rate in catching one color over the other. However, since the study does not provide the actual results or any findings, it is not possible to draw a conclusion about whether dogs are better at tracking the movements of white objects or red objects based on the given information.

In summary, the experiment described is an example of a comparative study that aims to investigate the dogs' ability to catch red and white disks. Without the actual results or findings, it is not possible to determine if dogs have a preference or show any difference in tracking the movements of white or red objects.

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To find P(A|B), we need to calculate the conditional probability of A given B. Using Bayes' theorem, we have:

P(A|B) = P(A and B) / P(B)

We can find P(A and B) by looking at the intersection of the two events in the table:

P(A and B) = P(A) = 0.4

We can find P(B) by summing the probabilities of all outcomes that satisfy B:

P(B) = P(2) + P(3) + P(5) + P(7) = 0.2 + 0.1 + 0.1 + 0.1 = 0.5

Therefore, P(A|B) = P(A and B) / P(B) = 0.4 / 0.5 = 0.8.

To find the conditional probability of A given B, we need to calculate the probability of A and B occurring together, and then divide it by the probability of B occurring. In this case, A represents the event that the outcome is prime, and B represents the event that the outcome is greater than 1.

We can see from the table that the only outcomes that satisfy both A and B are 2, 3, 5, and 7, which have a total probability of 0.4. The probability of B occurring is the sum of the probabilities of these outcomes, which is 0.5.

Therefore, the conditional probability of A given B is 0.8, meaning that if we know that the outcome is greater than 1, there is an 80% chance that it is also prime.

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The investment will double in nine years at an interest rate of approximately 8.09% compounded annually.

To find the value of the (P/A,8%,145) factor, we can use the general formula for the present worth of an annuity:

(P/A, i%, n) = (1 - (1 + i)^(-n)) / i

Substituting the values given:

i = 8%

n = 145

(P/A,8%,145) = (1 - (1 + 0.08)^(-145)) / 0.08

Using a financial calculator or spreadsheet software, we can calculate the value of (P/A,8%,145) as follows:

(P/A,8%,145) ≈ 43.7276 (rounded to four decimal places)

Therefore, the correct choice for the value of (P/A,8%,145) is:

C. (P/A,8%,145) = (P/A,8%,100)(P/A,8%,45) ≈ 43.7276 (rounded to four decimal places)

Regarding the second question, to find the interest rate at which an investment will double in nine years, we can use the future worth factor formula:

(F/P, i%, n) = (1 + i)^n

We want the investment to double, so we have:

(1 + i)^9 = 2

Taking the ninth root of both sides:

1 + i = 2^(1/9)

Solving for i:

i ≈ 0.0809 or 8.09% (rounded to two decimal places)

Therefore, the investment will double in nine years at an interest rate of approximately 8.09% compounded annually.

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Answer:

A

Step-by-step explanation:

Remember that parallel lines have the same slope.

The y-intercept does not matter.

We have the two equations:

\(y=x+4\)

And:

\(y=x-2\)

The slope is the coefficient in front of the x.

In the first equation, we can rewrite it as:

\(y=(1)x+4\)

Therefore, the slope of the first equation is 1.

Similarly, for the second equation, we can rewrite it as:

\(y=(1)x-2\)

The slope of the second equation is also 1.

Therefore, since their slopes are equivalent, they are parallel.

Thus, our correct answer is A.

The answer and explanation to the hint is given below.

A word problem is a topic in mathematics which requires expressing a given statement or situation with a mathematical equation. The mathematical equation derived would be solved further so as to determine the unknown value of a variable.

In the given question, let the age of Marcus' little brother be represented by x. Thus since Marcus is 10 years older than his little brother, then we have to add 10 to his little brother's current age.

Thus,

Marcus age = his little brother's age+10

                    = x+10

So that, Marcus's age is expressed as; x+10.

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Combining negatively correlated assets with the same expected return results in a portfolio with the same level of expected return but a lower level of risk.

When assets have a negative correlation, their returns tend to move in opposite directions. By combining these assets in a portfolio, their negative correlation offsets each other's risks to some extent. As a result, the overall risk of the portfolio is reduced.

However, the expected return of the portfolio remains the same as the individual assets, assuming they have the same expected return. This is because the negative correlation does not affect the average return of the assets, only their volatility. The diversification benefits provided by negatively correlated assets help to reduce the overall risk of the portfolio, making it less volatile than the individual assets.

Therefore, combining negatively correlated assets with the same expected return results in a portfolio with the same level of expected return but a lower level of risk. This is a desirable outcome for investors as it allows them to achieve a certain level of return while minimizing the overall risk in their investment portfolio.

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Eulerian path can be implemented in linear time because it follows a specific rule: a connected graph can have an Eulerian path if and only if it has either zero or two vertices of odd degree.

This means that the algorithm can quickly determine whether or not a graph has an Eulerian path by simply counting the number of odd degree vertices. This can be done in linear time, making the implementation of Eulerian path efficient and fast.

On the other hand, Hamiltonian path does not follow a specific rule, and there is no known efficient algorithm to determine whether or not a graph has a Hamiltonian path.

This means that the implementation of Hamiltonian path requires checking all possible paths in the graph, which can take a long time and is not efficient. Therefore, Hamiltonian path cannot be implemented in linear time like Eulerian path can.

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Answer:

-5x - 5

Step-by-step explanation:

distribute both -4 and -1/2

it should look like this...

-4x - 8 - x + 3 now add the like terms

-5x - 5

Final answer: -5x - 5

We have the following coordinates given:

And we want to find US so we can use the following formula:

And using this formula we got:

And after solve we got:

and rounded to the nearest cent would be Us= 27.46

Answer: 8 grapes

Step-by-step explanation:

Division represents even distribution.  As such, simply rephrase the word problem as 16 ÷ 2, or 8.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

d = 55.5  

x = 1

c = 11

m = \(\frac{1}{122}\)

k = \(\frac{a}{(c + 5)}\)

Step-by-step explanation:

Sorry, the formatting is slightly hard to understand, but I think this is what you meant.

Q1.

\(\frac{1}{6}\)d - 8 = \(\frac{5}{8}\) x 2

Step 1. Simplify.

\(\frac{5}{8}\) x 2 = \(\frac{5}{8}\) x \(\frac{2}{1}\) = \(\frac{10}{8}\)

Step 2. Cancel out the negative 8.

\(\frac{1}{6}\)d - 8 = \(\frac{10}{8}\)

+ 8 to both sides (do the opposite: \(\frac{1}{6}\)d is subtracting 8 right now, but to cancel that out, we will do the opposite of subtraction, i.e. addition)

\(\frac{1}{6}\)d = \(\frac{10}{8}\) + 8

Step 3. Simplify.

\(\frac{10}{8}\) + 8 = \(\frac{10}{8}\) + \(\frac{8}{1}\) = \(\frac{10}{8}\) + \(\frac{64}{8}\) = \(\frac{74}{8}\) = \(\frac{37}{4}\)

Step 4. Cancel out the \(\frac{1}{6}\).

\(\frac{1}{6}\)d = \(\frac{37}{4}\)

÷ \(\frac{1}{6}\) from both sides (do the opposite: d is multiplied by \(\frac{1}{6}\) right now, but to cancel that out, we will do the opposite of multiplication, i.e. division)

÷ \(\frac{1}{6}\) = x 6

So....

x 6 to both sides

d = \(\frac{37}{4}\) x  6 = \(\frac{37}{4}\) x \(\frac{6}{1}\) = \(\frac{222}{4}\) = \(\frac{111}{2}\) = 55.5

Step 5. Write down your answer.

d = 55.5

Q2.

3x - 4 + 5x = 10 - 2x × 3

Step 1. Simplify

3x - 4 + 5x = 3x + 5x - 4 = 8x - 4

10 - 2x × 3 = 10 - (2x × 3) = 10 - 6x

Step 2. Cancel out the negative 6x

8x - 4 = 10 - 6x

+ 6x to both sides (do the opposite - you're probably tired of reading this now - right now it's 10 subtract 6x, but the opposite of subtraction is addition)

14x - 4 = 10

Step 3. Cancel out the negative 4

14x - 4 = 10

+ 4 to both sides (right now it's 14x subtract 4, but the opposite of subtraction is addition)

14x = 14

Step 4. Divide by 14

14x = 14

÷ 14 from both sides (out of the [14 × x] we only want the [x], so we cancel out the [× 14])

x = 1

Step 5. Write down your answer.

x = 1

Q3.

7(c - 3) = 14 × 4

Step 1. Expand the brackets

7(c - 3) = (7 x c) - (7 x 3) = 7c - 21

Step 2. Simplify

14 x 4 = 56

Step 3. Cancel out the negative 21

7c - 21 = 56

+ 21

7c = 56 + 21

7c = 77

Step 4. Cancel out the ×7

7c = 77

÷ 7

c = 77 ÷ 7

c = 11

Step 5. Write down your answer.

c = 11

Q4.

11(\(\frac{m}{22}\) + \(\frac{3}{44}\)) = 87m + m × 5

Step 1. Expand the brackets

11(\(\frac{m}{22}\) + \(\frac{3}{44}\)) = (11 x \(\frac{m}{22}\)) + (11 x \(\frac{3}{44}\)) = (\(\frac{11}{1}\) x \(\frac{m}{22}\)) + (\(\frac{11}{1}\) x \(\frac{3}{44}\)) = \(\frac{11m}{22}\) + \(\frac{33}{44}\) = \(\frac{m}{2}\) + \(\frac{3}{4}\)

Step 2. Simplify.

87m + m x 5 = 87m + 5m = 92m

Step 3. Cancel out the add \(\frac{3}{4}\)

\(\frac{m}{2}\) + \(\frac{3}{4}\) = 92m

- \(\frac{3}{4}\)

\(\frac{m}{2}\) = 92m - \(\frac{3}{4}\)

\(\frac{m}{2}\) = \(\frac{92m}{1}\) - \(\frac{3}{4}\)

\(\frac{m}{2}\) = \(\frac{368m}{4}\) - \(\frac{3}{4}\)

\(\frac{m}{2}\) = \(\frac{368m - 3}{4}\)

Step 4. Cancel out the ÷ 4

\(\frac{m}{2}\) = \(\frac{368m - 3}{4}\)

x 4

2m = 368m - 3

Step 5. Cancel out the 368m

2m = 368m - 3

- 368m

-366m = - 3

Step 6. Cancel out the × -366

-366m = -3

÷ -366

m = \(\frac{-3}{-366}\)

m = \(\frac{1}{122}\)

Step 7. Write down your answer.

m = \(\frac{1}{122}\)

Q5.

ck + 5k = a

Step 1. Factorise

ck + 5k = (c × k) + (5 × k) = (c + 5) x k = k(c + 5)

Step 2. Cancel out the × (c + 5)

k(c + 5) = a

÷ (c + 5)

k = a ÷ (c + 5)

k = \(\frac{a}{(c + 5)}\)

Answer:

1. Not necessarily congruent to EFD, since 2 given sides tells us nothing about their congruency.

2. Congruent to QPR, due to SAS congruency.

3. Congruent to LJK, due to SAA congruency.

To find the probability distribution for Y, the number of errors detected by the auditor, we can use the binomial distribution formula. The binomial distribution is used when there are only two possible outcomes, success or failure, and each trial is independent.

In this case, the probability of success (detecting an error) is 5% or 0.05, and the probability of failure (not detecting an error) is 1 - 0.05 = 0.95.

a. To find the probability distribution for Y, we can use the formula for the binomial distribution:

P(Y = y) = (nCk) * p^k * (1-p)^(n-k)

where n is the number of trials (3 in this case), k is the number of successes (errors detected), p is the probability of success (0.05), and (nCk) is the combination formula.

For y = 0:
P(Y = 0) = (3C0) * (0.05)^0 * (0.95)^(3-0) = (1) * (1) * (0.95)^3 = 0.857375

For y = 1:
P(Y = 1) = (3C1) * (0.05)^1 * (0.95)^(3-1) = (3) * (0.05) * (0.95)^2 = 0.135375

For y = 2:
P(Y = 2) = (3C2) * (0.05)^2 * (0.95)^(3-2) = (3) * (0.05)^2 * (0.95)^1 = 0.007125

For y = 3:
P(Y = 3) = (3C3) * (0.05)^3 * (0.95)^(3-3) = (1) * (0.05)^3 * (0.95)^0 = 0.000125

So the probability distribution for Y is:
Y = 0 with probability 0.857375
Y = 1 with probability 0.135375
Y = 2 with probability 0.007125
Y = 3 with probability 0.000125

b. To construct a probability histogram for p(y), you can create a bar graph where the x-axis represents the number of errors detected (Y) and the y-axis represents the probability (P(Y = y)). Each bar will have a height corresponding to the probability.

c. To find the probability that the auditor will detect more than one error, we need to calculate the sum of the probabilities for Y = 2 and Y = 3:

P(Y > 1) = P(Y = 2) + P(Y = 3) = 0.007125 + 0.000125 = 0.00725

Therefore, the probability that the auditor will detect more than one error is 0.00725.

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Answer:

dsf

Step-by-step explanation:

fewfgwe4g h5trh 5

Answer:

1/2 of the class

give brainliest if it helps

The cross sectional area of the cargo trailer floor, which is a composite figure consisting of a square and an isosceles triangle, indicates that the volume of the inside of the trailer is about 3,952 ft³.

A composite figure is a figure comprising of two or more regular figures.

The possible cross section of the trailer, obtained from a similar question on the internet, includes a composite figure, which includes a rectangle and an isosceles triangle.

Please find attached the cross section of the Cargo Trailer Floor created with MS Word.

The dimensions of the rectangle are; Width = 6 ft, length = 10 ft

The dimensions of the triangle are; Base length 6 ft, leg length = 4 ft

Height of the triangular cross section = √(4² - (6/2)²) = √(7)

The cross sectional area of the trailer, A = 6 × 10 + (1/2) × 6 × √(7)

A = 60 + 3·√7

Volume of the trailer, V = Cross sectional area × Height

V = (60 + 3·√7) × 6.5 = 3900 + 19.5·√7

Volume of the trailer = (3,900 + 19.5·√(7)) ft³ ≈ 3952 ft³

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Answer:

answer below

Step-by-step explanation:

1.the shape below has 4 edges

2.the shape below has 5 faces

3.the shape below has 8 edges

Then a z-score such that the interval within one standard deviation of the mean contains a 50%  probability is 1.

To find a z-score where an interval within x standard deviations of the mean contains a 50%  probability, you can use the standard normal distribution (also known as the z-distribution).

In a standard normal distribution, the 50%  probability is between -1 standard deviation and +1 standard deviation from the mean. Therefore, a range within one standard deviation contains a 50%  probability.

If you want to obtain a z-score over a range of x standard deviations, you can simply set x  to the desired number of standard deviations. In this case x = 1.

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The solution to the equation does not exist

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

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

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Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

ANSWER

C. 12

EXPLANATION

1/3 of the pizzas is:

Therefore, 6 pizzas were cheese and the rest were pepperoni:

There were 12 pepperoni pizzas.

Answer:

\( \frac{6 - 8i}{ - 2} = \frac{6}{ - 2} - \frac{8i}{ - 2} (splitting \: denomenator) \\ = - 3 - - 4i \\ = - 3 + 4i \\ thank \: you\)

The strategy that can be used to determine how many yards Nima can mow in 20 days is C. Find the number of yards per day by division, and then multiply that quotient by the number of days.

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. in this case, it is vital to note that they have at least two terms which have to be related by through an operator.

It's important to find the number of yards per day by division, and then multiply that quotient by the number of days. The correct option is C.

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Answer:

2

Step-by-step explanation:

f(x) = 2x

Let x =1

f(1) = 2*1

f(1) = 2

Answer:

f(1)=2

Step-by-step explanation:

We are given the equation:

f(x)=2x

We also know that x=1. Therefore, we can substitute 1 in for every x.

f(1)= 2(1)

Multiply 2 and 1

f(1)=2

f(x) when x=1 is 2.

The perimeter of the polygon with vertices Q(-3, 2), R(1, 2), S(1,-2), and T(-3,-2) is 16 units.

Perimeter is a circumferential measure of the figure, for example, the perimeter of a square is the sum of all its sides.

Here,

To find the perimeter of a polygon, we need to add up the lengths of all its sides. In this case, we have a quadrilateral with vertices Q(-3, 2), R(1, 2), S(1,-2), and T(-3,-2).

We can use the distance formula to find the lengths of each side:

Length of QR = √[(1 - (-3))² + (2 - 2)²] =  4

Similarly,

Length of RS= 4

Length of ST= 4

Length of TQ= 4

Therefore, the perimeter of the polygon is 4 + 4 + 4 + 4 = 16

So the perimeter of the polygon with vertices Q(-3, 2), R(1, 2), S(1,-2), and T(-3,-2) is 16 units.

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Answer: C. 2.889 .

Step-by-step explanation:

To find : A decimal expression equivalent to \(\dfrac{26}{9}\) .

When we divide 26 by 9 , we get 2.88888888889 which is approximately equal to 2.889  [Round off to the nearest thousandth place]

Hence, the decimal is equivalent to\(\dfrac{26}{9}\)  is 2.889.

Hence, the correct option is C. 2.889 .

Answer:

2.8 with the _ above the 8 dont listen to that other guy/girl

Answer:

1102

Step-by-step explanation:

406/7=56 (unit rate)

56*19=1102

Answer:

15

Step-by-step explanation:

the arrow is showing exactly in-between the 10 and 20 which means it is 15

Watermelon would be moving at a speed of 39.2m/s.

When an object is dropped from a height while ignoring air resistance, then it's speed will increase at a constant rate because of acceleration due to gravity. The acceleration due to gravity on the earth is 9.8m/s^2.

In this case, to calculate the speed we have to use the formula:

v = gt

where, v = final velocity,

           g = acceleration due to gravity,

           t = time.

Substituting the values when time (t) is 4s, we get

v = 9.8 * 4

v = 39.2m/s

Therefore, after 4 seconds of falling, watermelon would be moving at a speed of 39.2m/s.

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