Which situation is best described by the graph shown

Answer:

I'm not 100% sure but i think its a  

Step-by-step explanation:

Both have 2 heads and 2 tails so that's 4 and it's a fair game and b is wrong and you will eliminate c.

The game is fair because there is an equal chance of winning an losing the game.

Probability is simply how likely something is to happen.

\(P(E )=\frac{Number\ of \ favorable\ outcomes }{Total\ number \ of outcomes}\)

Where,

P(E) is the probability of an event.

A fair game is the game in which there is an equal chance of wining or losing.

According to the given question.

Two coins are tossed.

\(\implies sample\ space= \{ HH, HT, TH, TT\}\)

\(\implies total\ number \ of outcomes = 4\)

Therefore,

The probability that you win is given by

\(P(E_{1} )=\frac{Number\ of \ favorable\ outcomes }{Total\ number \ of outcomes}\)

\(\implies P(E_{1} )= \frac{1}{4}\)                            (getting HH is a favorable outcome)

\(\implies probability\ of\ losing\ the\ game = 1-\frac{1}{4} =\frac{3}{4}\)

And, the probability that your friend wins the game is given by

\(P(E_{2}) = \frac{Total\ number\ of\ favorable\ outcomes\ }{Total\ number\ of\ outcomes}\)

\(\implies P(E_{2} )=\frac{1}{4}\)                    (getting TT is the favorable outcome)

\(\implies probability\ of\ losing\ the\ game = 1-\frac{1}{4} =\frac{3}{4}\)

Hence, the game is fair because there is an equal chance of winning an losing the game.

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Answer:Answer is A

Step-by-step explanation:

Correct option is

A

6x+2y=15

Given line is   y=−3x+4

This is slope intercept form of a line where slope of line is  −3.

Since, two lines are parallel When their slopes are equal.

Slope of line is 6x+2y=15

⇒2y=−6x+15

⇒y=−3x+

2

15

​

 is equal to −3

Option A is correct.

Answer:

Yes, people that taking part in an experiment are called variables.

There is normally one person called the dependent variable, and the other who is the independent variable.

The statement provided "people taking part in an experiment are called variables" is incorrect.

In an experiment, the individuals or subjects who participate and are observed or manipulated are not referred to as variables. Instead, they are called participants, subjects, or sometimes, respondents, depending on the context of the study.

Variables, on the other hand, are characteristics or properties that can vary or change among the individuals or subjects in the study. Variables can be classified as independent variables, dependent variables, or control variables.

Independent variables are manipulated or controlled by the researcher, while dependent variables are the outcomes or responses that are measured or observed.

Control variables are other factors that are held constant. Therefore, it is important to differentiate between the individuals participating in the experiment and the variables being studied.

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To compute the probability that a randomly selected member of the team is Canadian, we need to determine the total number of members in the team and the number of Canadian members.

Step 1: Calculate the total number of members in the team:

The total number of members is the sum of the American, Canadian, and Mexican nationals. Therefore, the total number of members is 4 (Americans) + 8 (Canadians) + 8 (Mexicans) = 20.

Step 2: Calculate the number of Canadian members:

The number of Canadian members is given as 8.

Step 3: Calculate the probability:

The probability of selecting a Canadian member is the ratio of the number of Canadian members to the total number of members.

So, the probability is 8 (number of Canadian members) divided by 20 (total number of members).

Calculating the probability, we get:

Probability = 8/20 = 0.4

Therefore, the probability that a randomly selected member of the team is Canadian is 0.4, or 40%.

For the second scenario, where 9 fair coins are flipped randomly, we need to calculate the probability of getting one head and the rest showing tails.

Step 1: Calculate the total number of possible outcomes:

For each coin, there are two possible outcomes (heads or tails). Since there are 9 coins, the total number of possible outcomes is 2^9 = 512.

Step 2: Calculate the number of favorable outcomes:

To get one head and the rest showing tails, there are 9 ways to choose which coin shows the head. For the remaining 8 coins, they must all show tails, which is 1 way. Therefore, the number of favorable outcomes is 9.

Step 3: Calculate the probability:

The probability is the ratio of the number of favorable outcomes to the total number of possible outcomes.

So, the probability is 9 (number of favorable outcomes) divided by 512 (total number of possible outcomes).

Calculating the probability, we get:

Probability = 9/512 ≈ 0.0176

Therefore, the probability that one coin shows heads and the rest show tails is approximately 0.0176, or 1.76%.

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Simplified version of the given radical expression would be...

\(5x^2\sqrt{7x}\)

Hope this helps!

To find the interior of Y

Y = 180 - 135

Y = 45

The interior of Z is 49 because the angles are mirrored to each other

then, to find x,

X = 180 - 45 - 49

X = 86

so your answer should be 86.

Answer:

x=2

Step-by-step explanation:

2

Answer:

x=2

Step-by-step explanation:

It's pretty simple all you have to do is get the xs together and then solve

Answer:

Step-by-step explanation: i dont know but i still can help i think its answer The graph that best represent the solution set of y > 3x - 4 is D. The inequality is as follows: y > 3x - 4. lets find y when x = 0.

Answer: (1/3,-7); x=1/3; translated to the right 1/3 unit and down 7 units

Step-by-step explanation:

The parent function is:

g(x) = IxI

And we have:

f(x) = I6x - 2I - 7

We canr rewrite f to get:

f(x) = 6*Ix - 1/3I - 7

Then, now let's define some transformations:

If we start with g(x), a translation of N units to the right is:

f(x) = g(x - N)

if we start with g(x), a translation of N units up is:

f(x) = g(x) + N

A translation down would be:

f(x) = g(x) - N

And a vertical dilation of scale factor A is written as:

f(x) = A*g(x)

Then in this case we have:

A translation to the right of 1/3 units.

A dilation of scale factor 6.

A translation down of 7 units.

And the axis of symmetry will be when the absolute value part is equal to zero, or when

6*Ix - 1/3I = 0

And that is when x = 1/3.

Then the correct option is:

(1/3,-7); x=1/3; translated to the right 1/3 unit and down 7 units

Answer:

\( \sf \: x = 16\)

Step-by-step explanation:

Given functions,

→ f(x) = 2x + 3

→ f(x) = 35

Now we have to,

→ Find the required value of x.

Forming the equation,

→ f(x) = f(x)

→ 2x + 3 = 35

Then the value of x will be,

→ 2x + 3 = 35

→ 2x = 35 - 3

→ 2x = 32

→ x = 32 ÷ 2

→ [ x = 16 ]

Hence, the value of x is 16.

The length of HG after the dilation by the factor of 2 is 6.6.

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

\(D = √[(x-p)² + (y-q)²] D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\)

We are given that;

The points H(-3,-5) & G(2, 2)

Dilation = 2

Now

D^2= (2+3)^2 + (2+5)^2

D^2= 25+49

D^2= 74

D=8.6

After dilation =8.6-2

=6.6

Therefore, the distance by the given dilation will be 6.6

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True, it is important to be realistic when submitting a proposal probability  in response to an RFP as there are usually many contractors competing for the same project.

When submitting a proposal in response to an RFP, it is important to be realistic about the probability of being selected as the winning contractor. This is because RFPs typically attract a large number of contractors competing for the same project. As a result, the chances of being selected as the winning contractor can be slim. It is important to ensure that the proposal is well-crafted and competitive in order to maximize the chances of being selected. Additionally, it is important to research the organization and the project to understand what they are looking for and tailor the proposal accordingly. Doing so will help the contractor to stand out from the competition and increase their chances of being selected as the winning contractor.

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A) the probability of scoring 1 is 1/2

B) the probability of scoring a total of 6 is 3/64

The probability of scoring a total of 4 is 17/64

A probability of an occurrence is a number in science that shows how probable the event is to occur. It is represented as a number between 0 and 1, or as a percentage between 0% and 100% in percentage notation.

To compute for A)

Scoring 1 is denoted by P = 4/8 = 1/2

To compute for B)i

All = 8 x 8 = 64

Total of 6 = 3+3
P = 6/64

P = 3/32


To compute for B)ii

Total of 4 = 2 + 2 or 1 + 3 when measured out this given us

P = 17/64

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The rate of increase of the number of bacteria is 1200/2 = 600 bacteria/hour.

To find the rate of increase of the number of bacteria in a culture, we can use the formula

rate of change = change in number of bacteria/time elapsed.

In this case, the change in number of bacteria is 1800-600 = 1200, and the time elapsed is 2 hours.

Thus, the rate of increase of the number of bacteria is 1200/2 = 600 bacteria/hour.

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To find the fraction of the square quilt block that is shaded, we need to count the number of shaded unit squares and divide it by the total number of unit squares in the quilt block. Let us begin by counting the number of shaded unit squares.

We notice that there are a total of 6 unit squares that are shaded. The unit squares that are shaded are the 2 squares that are completely shaded and the 4 squares that are half shaded due to the presence of triangles.

Next, we need to count the total number of unit squares in the quilt block. We notice that the quilt block is made up of 9 unit squares, each of which can be divided into 4 smaller unit squares. Thus, the total number of unit squares in the quilt block is 9 x 4 = 36.

Therefore, the fraction of the square quilt block that is shaded is 6/36 or 1/6.

To summarize, the shaded portion of the quilt block consists of 6 unit squares out of a total of 36 unit squares. Thus, the fraction of the square quilt block that is shaded is 1/6.

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Evaluating the relation, we can see that in the step 6 there are 35 squares.

Here we have the relation:

h(n) = n² - 1

Where h(n) is the number of squares at the step number n.

Here we want to find the number of squares at the step 6, then to find this, we just need to replace n by the number 6.

We will get:

h(6) = 6² - 1

h(6) = 36 - 1

h(6) = 35

So we can see that in the step 6 there are 35 squares.

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The required probability is 0.4408.

The operating characteristics of the loading gate problem are:

L = λ/ (μ - λ)

W = 1/ (μ - λ)

Lq = λ^2 / μ (μ - λ)

Wq = λ / μ (μ - λ)

ρ = λ / μ

P0 = 1 - λ / μ

Where, L represents the average number of cars either being loaded or waiting.

W represents the average time a car spends either being loaded or waiting.

Lq represents the average number of cars waiting.

Wq represents the average waiting time of a car.

ρ represents the utilization factor.

ρ = λ / μ represents the ratio of time the worker spends loading cars to the total time the system is busy.

P0 represents the probability that the system is empty.

The probability that there will be more than six cars either being loaded or waiting is to be determined. That is,

P (n > 6) = 1 - P (n ≤ 6)

Now, the probability of having less than or equal to six cars in the system at a given time,

P (n ≤ 6) = Σn = 0^6 [λ^n / n! * (μ - λ)^n]

Putting the values of λ and μ, we get,

P (n ≤ 6) = Σn = 0^6 [(6/ 48)^n / n! * (8/ 48)^n]

P (n ≤ 6) = [(6/ 48)^0 / 0! * (8/ 48)^0] + [(6/ 48)^1 / 1! * (8/ 48)^1] + [(6/ 48)^2 / 2! * (8/ 48)^2] + [(6/ 48)^3 / 3! * (8/ 48)^3] + [(6/ 48)^4 / 4! * (8/ 48)^4] + [(6/ 48)^5 / 5! * (8/ 48)^5] + [(6/ 48)^6 / 6! * (8/ 48)^6]P (n ≤ 6) = 0.5592

Now, P (n > 6) = 1 - P (n ≤ 6) = 1 - 0.5592 = 0.4408

Therefore, the required probability is 0.4408.

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The probability that exactly 2 of the 5 customers are vegetarian is approximately 0.2837, or 28.37%.

The binomial distribution, which describes the likelihood of achieving a specific number of successes in a fixed number of independent trials with an identical likelihood of success, can be used to solve this problem.

With a success rate of p = 0.12 (because 12% of customers are vegetarian), let X represent the proportion of vegetarian consumers among the 5 people surveyed. Then, X has a binomial distribution with parameters n = 5 and p = 0.12.

P(X = 2) can be used to determine the probability that exactly 2 of the 5 customers are vegetarians.

The formula for the binomial probability mass function can be used to determine this:

\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)\)

where the binomial coefficient (n choose k) = n! / (k! * (n - k)!)! indicates the number of possible ways to select item k from a set of item n.

Substituting n = 5, p = 0.12, and k = 2, we get:

\(P(X = 2) = (5 choose 2) * 0.12^2 * (1 - 0.12)^(5 - 2)\)

= 0.2837 (rounded to four decimal places)

Therefore, the probability that exactly 2 of the 5 customers are vegetarian is approximately 0.2837, or 28.37%.

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Answer:

2√6

Step-by-step explanation:

x + y = 6

xy = 3

Square the first equation.

x² + 2xy + y² = 36

Subtract 4xy from both sides.

x² − 2xy + y² = 36 − 4xy

Factor.

(x − y)² = 36 − 4xy

Substitute.

(x − y)² = 36 − 4(3)

(x − y)² = 24

Take square root.

x − y = ±√24

x − y = ±2√6

Take absolute value.

|x − y| = 2√6

Answer:

Step-by-step explanation:

If a line having slope 'm' and passes through a point \((x_1, y_1)\) then the equation of the line is,

\(y-y_1=m(x-x_1)\)

It's the point-slope form of the line.

in this point slope form of a line, the slope is represented by m the x-coordinate of a point is represented by \(x_1\) and y-coordinate of the point is represented by \(y_1\) .

Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.

This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.

The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.

Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].

It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].

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Answer:

Step-by-step explanation:

1/3x+2/3x-2/3x: x equasion

3/4+(-1/4)

1/3x +  2/4(or 1/2)

1/3x+1/2

(note that positive 2/3 and -2/3 cancel out)

The rectangular prism having a length of 1 feet, width of 2 feet and that

is 1 feet deep, gives the area Mila stained as 8 square feet.

The given dimensions of the rectangular prism bin are;

Length of the bin = 2 foot

Width of the bin = 1 feet

Depth of the bin = 2 feet

Required:

The surface area of the rectangular prism bin.

Solution:

The surface area, S. A., of the rectangular prism bin is given as follows;

S. A. = Length × Width + Depth × Width + Length × Depth

Which gives;

S. A. = 2 × 1 + 2 × 1 + 2 × 2 = 8

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Answer:

y=-x

I found the points then simplified it down

Answer:

hmm maybe trying using 2y=5x-2

Step-by-step explanation:

how i came to this was just looking at point y which was just 2 and then since point x was at 5,-2 all i did was simply it into 2y=5x-2

maybe that's the answer if it is can i get brainlist ?! pretty please if not let me know so i can see what i got wrong

Answer:

The least common multiple is 1 because there are no other factors other than 1 and 7 for 7 and 1 and 5 for 5. So therefore, the least common multiple is 1.

Answer:

\( r = 8.58~cm \)

Step-by-step explanation:

\( S = \dfrac{n}{360^\circ}2\pi r \)

\( 38.95~cm = \dfrac{260^\circ}{360^\circ}2\pi r \)

\( 38.95~cm = 4.5378r \)

\( r = 8.58~cm \)

Step-by-step explanation:

Line AB = sqrt18 = 4.24

Line BC = sqrt10 = 3.16

Line AC = 4

Since the triangle cannot be isosceles or equilateral, the best option here is scalene.

Answer:

Line AB = 4.24

BC = 3.16

AC = 4

So ABC is scalene.

the solution to the system of equations is x = 2 and y = 1.

To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.

Given the system of equations:

1) y = 6x - 11

2) -2x - 3y = -7

Step 1: Solve equation (1) for y.

  y = 6x - 11

Step 2: Substitute the value of y from equation (1) into equation (2).

  -2x - 3(6x - 11) = -7

Step 3: Simplify and solve for x.

  -2x - 18x + 33 = -7

  -20x + 33 = -7

  -20x = -7 - 33

  -20x = -40

  x = (-40)/(-20)

  x = 2

Step 4: Substitute the value of x into equation (1) to find y.

  y = 6(2) - 11

  y = 12 - 11

  y = 1

Therefore, the solution to the system of equations is x = 2 and y = 1.

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The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.

To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.

Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.

Therefore, the solution to the system of equations is x = 2 and y = 1.

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(a) To answer this question, we can follow these steps:

1. Define a random variable: Let X be the number of correct suit guesses in 8 trials.
2. Identify the distribution: Since there are only two possible outcomes (correct or incorrect guess) and the trials are independent, the distribution of X is a binomial distribution with parameters n = 8 and p = 1/4 (since there are 4 suits).
3. Write the formula for the probability: P(X ≥ 6) = P(X=6) + P(X=7) + P(X=8)
4. Write an R command for the probability: `pbinom(5, size=8, prob=0.25, lower.tail=FALSE)`
5. Use R to evaluate the probability: R will return 0.0323 (approximately).
6. Round it to the nearest 0.01%: The p-value is approximately 3.23%.

(b) To answer this question, we can follow these steps:

1. Define a random variable: Let Y be the number of black cards correctly turned over in 4 attempts.
2. Identify the distribution: The distribution of Y is a hypergeometric distribution with parameters N = 14 (total cards), K = 4 (black cards), and n = 4 (attempts).
3. Write the formula for the probability: P(Y ≥ 3) = P(Y=3) + P(Y=4)
4. Write an R command for the probability: `phyper(2, 4, 10, 4, lower.tail=FALSE)`
5. Use R to evaluate the probability: R will return 0.1218 (approximately).
6. Round it to the nearest 0.01%: The p-value is approximately 12.18%.

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