In a video game, the player can choose their character. The choices are from 8 animals and 4 humans. Players can also let the game randomly choose their character. If a player does the random selection, what is the probability that a human character will be chosen? Enter your answer as a fraction in simplest form in the box.

Answer:

b)

Step-by-step explanation:

87 + 45 + 18 = 150

150(30%) = 45

Answer:

A

Step-by-step explanation:

Find the total number of students, that is

total = 87 + 51 + 45 + 26 + 18 + 23 = 250

There are 45 7th grade students who voted to add German

percentage = \(\frac{45}{250}\) × 100% = 0.18 × 100% = 18% → A

The equation of a plane in 3-space with equation c1x + c2y + c3z + c4 = 0 can be determined by passing through three non-collinear points (x1, y1, z1), (x2, y2, z2), and (x3, y3, z3). This is given by the determinant equation:

Copy code

| x  y  z  1 |

| x1 y1 z1 1 | = 0.

| x2 y2 z2 1 |

| x3 y3 z3 1 |

However, if the three distinct points are collinear, meaning they lie on the same line, then the determinant equation becomes undefined as the determinant of a 3x3 or smaller matrix with linearly dependent rows or columns is equal to zero. This means that there is no plane that passes through three collinear points as a plane requires at least three non-collinear points to be defined.

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Answer:

less than, this is scaling dude

Step-by-step explanation:

Marissa's shape is classified as a scalene and obtuse triangle, considering it's concepts presented in this problem.

The triangle has three sides of unequal length, as the opposite angle measures are different, hence it is classified as an scalene triangle.

(it would be equilateral if all had the same length, and isosceles if two sides have the same length).

The triangle has one angle larger than 90º, hence it is classified as an obtuse triangle.

(acute with no angles of 90º or greater, right with one angle of exactly 90º).

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#1

\(\\ \sf\longmapsto 4x-3=2x+7\)

\(\\ \sf\longmapsto 4x-2x=7+3\)

\(\\ \sf\longmapsto 2x=10\)

\(\\ \sf\longmapsto x=5\)

#2

\(\\ \sf\longmapsto 2x+6=7x-14\)

\(\\ \sf\longmapsto 7x-2x=6+14\)

\(\\ \sf\longmapsto 5x=20\)

\(\\ \sf\longmapsto x=4\)

Question:

Linear Equation In One Variable

solve x,

\(\frac{3x}{2} -7 = 5\)

Answer:

\(x = 8\)

Step-by-step explanation:

Given

\(\frac{3x}{2} -7 = 5\)

Required

Solve for x

\(\frac{3x}{2} -7 = 5\)

Multiply through by 2

\(2(\frac{3x}{2} -7) = 5 * 2\)

\(2*\frac{3x}{2} -2 * 7 = 5 * 2\)

\(3x - 14 = 10\)

\(3x = 14 + 10\)

\(3x = 24\)

Solve for x

\(x = \frac{24}{3}\)

\(x = 8\)

The parametric equations for the line through the point p = (-4, 4, 3) that is perpendicular to the plane 2x + y + 0z = 1 are:

The equation of the plane is given by 2x + y = 1Therefore, the normal vector of the plane is N = [2,1,0]A line that is perpendicular to the plane must be parallel to the normal vector, so its direction vector is d = [2,1,0].To find the parametric equations of the line, we need a point on the line. We are given the point p = (-4,4,3), so we can use that.

The parametric equations are:x = -4 + 2t, y = 4 + t, z = 3The point (x,y,z) will lie on the line if there exists some value of t that makes the equations true.At what point q does this line intersect the yz-plane?The yz-plane is given by the equation x = 0, so we substitute this into the parametric equations for x, y, and z to get:0 = -4 + 2tSolving for t, we get t = 2. Substituting this into the equations for y and z, we get:y = 4 + 2 = 6, z = 3So the point of intersection q is (0,6,3).

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To maximize the enclosed area with 400 feet of fencing, the rectangular yard should have dimensions of 100 feet by 200/3 feet.

To maximize the enclosed area, we need to find the dimensions that will result in three equal enclosures. Let's represent the length of the yard as "L" and the width as "W".

Given that 400 feet of fencing is available, we can set up the equation for the perimeter of the yard:

2L + 3W = 400

Since there are three equal enclosures, each enclosure will have an area of (L/3) * W.

To maximize the enclosed area, we need to maximize (L/3) * W.

To solve for the dimensions that maximize the area, we can express L in terms of W from the perimeter equation:

2L = 400 - 3W
L = (400 - 3W)/2

Now we can substitute this value of L into the area equation:

Area = (L/3) * W
= ((400 - 3W)/2 * W)/3
= (200W - (3/2)W^2)/3

To find the maximum value of the area, we can take the derivative of the area equation with respect to W, set it to zero, and solve for W.

d(Area)/dW = (200 - 3W)/3 = 0
200 - 3W = 0
3W = 200
W = 200/3

Now we can substitute this value of W back into the equation for L:

L = (400 - 3(200/3))/2
L = 200/2
L = 100

Therefore, the dimensions that maximize the enclosed area are L = 100 and W = 200/3.

To maximize the enclosed area with 400 feet of fencing, the rectangular yard should have dimensions of 100 feet by 200/3 feet.

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The probability that more than 20% of the sample are from poverty households is approximately 0.8365.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

We can use the normal approximation to the binomial distribution to solve this problem, given that the sample size is relatively large (n=300) and the probability of success (p=0.22) is not too close to 0 or 1.

Let X be the number of children in the sample who live in poverty households. Then X follows a binomial distribution with parameters n=300 and p=0.22.

The mean of X is given by μ = np = 300 x 0.22 = 66, and the standard deviation is σ = sqrt(np(1-p)) = sqrt(300 x 0.22 x 0.78) ≈ 6.23.

We want to find the probability that more than 20% of the sample are from poverty households, which is equivalent to finding P(X > 0.2n) = P(X > 60).

To use the normal approximation, we can standardize X as follows:

Z = (X - μ) / σ

Then, we have:

P(X > 60) = P(Z > (60 - 66) / 6.23) ≈ P(Z > -0.96)

Using a standard normal table or calculator, we can find that the probability of Z being greater than -0.96 is approximately 0.8365.

Therefore, the probability that more than 20% of the sample are from poverty households is approximately 0.8365.

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Answer:

m2+2m-8=0 Two solutions were found : m = 2 m = -4 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring m2+2m-8 The first term is, m2 its ...

Step-by-step explanation:

EXPLANATION

Given the Trapezoid, we know that the Area is given by the following equation:

Where a=37in, b=25in

Replacing terms:

Multiplying both sides by 2:

Adding terms and removing the parentheses:

Multiplying terms:

992=62x

Dividing both sides by 62:

Switching sides:

Simplifying the fractions:

Answer: x is equal to 16 inches.

C) Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.

What is linear regression?

Linear regression analysis is used to predict the value of a variable based on the value of another variable.

The variable you want to predict is called the dependent variable.

The variable you are using to predict the other variable's value is called the independent variable.

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Amelia should work for (C) company B: using linear regression models from both data sets, she determines that it pays about $10 more.

Therefore, Amelia should work for (C) company B: using linear regression models from both data sets, she determines that it pays about $10 more.

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The complete question is given below:

If Amelia wants to make the maximum amount of money working only 22 hours per week, which company should she work for? explain your answer.

A) Company A: Using linear regression models from both data sets, she determines that it pays about $14 more.

B) Company A: Using quadratic regression models from both data sets, she determines that it pays about $5 more.

C) Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.

D) Company B: Using exponential regression models from both data sets, she determines that it pays about $8 more.

Answer:

answer #n

Step-by-step explanation:

we cant see the options

Answer:

One factor is positive and one factor is negative, so the product will be negative.

Step-by-step explanation:

Answer:

Step-by-step explanation:

rectangle

parallelogram

Quadrilateral

The coordinates of the new point after applying the given set of transformation is given by the ordered pair (0, -1).

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative.

Furthermore, a reflection across the line y = x would interchange (switch) the x-coordinate and y-coordinate and this is given by this transformation rule:

(x, y)                                    →              (y, x)

Ordered pair A = (-4, -2)    →        Ordered pair A' = (-2, -4).

Next, we would apply a translation of 2 units to the right and 3 units up:

(x, y)                                    →              (x + 2, x + 3)

Ordered pair A' = (-2, -4)  →    (-2 + 2, -4 + 3)   →  Ordered pair A' = (0, -1).

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Answer:

79°

Step-by-step explanation:

False. The statement "The larger the Chi-square test statistic, the smaller the P-value" is true.

In statistical hypothesis testing using the Chi-square test, the Chi-square test statistic measures the discrepancy between the observed and expected frequencies in a contingency table or the goodness-of-fit between the observed and expected frequencies in a distribution. A larger Chi-square test statistic indicates a greater deviation from the null hypothesis, suggesting stronger evidence against the null hypothesis.

The P-value, on the other hand, represents the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true. A smaller P-value indicates stronger evidence against the null hypothesis, as it suggests that the observed data are less likely to occur under the null hypothesis.

Therefore, a larger Chi-square test statistic corresponds to a smaller P-value, indicating stronger evidence against the null hypothesis and supporting the alternative hypothesis.

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Answer:

180°

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x)

= 3x² + 1 - (1 - x)

= 3x² + 1 - 1 + x

= 3x² + x , thus

(f - g)(2)

= 3(2)² + 2 = 3(4) + 2 = 12 + 2 = 14

Answer:

Step-by-step explanation:

z=4/9

Lakshmi contributes 20% of her income, which can also be represented as 1/5 of her total earnings, to a charitable organization.

Lakshmi donates 20% of her income to charity, so the fraction of her income that she donates can be written as 20% / 100%.

When written as a fraction, 20% becomes 20/100. So, the fraction of Lakshmi's income that she donates to charity is:

20/100 = 1/5

So, Lakshmi donates 1/5 of her income to charity.

Using a percentage, a number can be represented as a fraction of 100. If a person earns $100 and donates 20% of it, it means they are giving away 20/100 * $100 = $20. In other words, 20% of their income is equal to 20/100 or 1/5 of their income.

When expressing a percentage as a fraction, you divide the percentage by 100 to get a fraction in the form of a numerator over 100. So, 20% can be written as 20/100, which is equal to 1/5.

The numerator represents the part of the total that the percentage represents, and the denominator (100) represents the total whole. In this case, 20 represents the part of the whole that Lakshmi is donating (20% of her income), and 100 represents the total whole (100%).

So, the fraction 1/5 represents the portion of Lakshmi's income that she donates to charity.

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The complete question is:

Lakshmi contributes 20% of her income to charitable causes. How much of Lakshmi's income does she give to charity?

Answer: The given question is solved :

Step-by-step explanation:

correct solution in imaje

Answer:

Step-by-step explanation:

7 - 3(-3) - 3(7) = 7 + 9 - 21 = 16 - 21 = -5

Answer:

-5

Step-by-step explanation:

(Refer to image)

Plug in the y and z and use order of operations to simplify!

The mean of T is -10 and the standard deviation of T is √425 when X1 and X2 are independent.

To find the mean of T, we can use the properties of expected values. Since T = 11X1 - 2X2, the mean of T can be calculated as follows: E(T) = E(11X1) - E(2X2) = 11E(X1) - 2E(X2) = 11(10) - 2(20) = -10. To find the standard deviation of T, we need to consider the variances and covariance of X1 and X2. Since X1 and X2 are independent, the covariance between them is zero. Therefore, Var(T) = Var(11X1) + Var(-2X2) = 11^2Var(X1) + (-2)^2Var(X2) = 121(2^2) + 4(3^2) = 484 + 36 = 520. Thus, the standard deviation of T is √520, which simplifies to approximately √425. When X1 and X2 have a correlation of -0.76, the mean and standard deviation of T remain the same as in the case of independent variables. To calculate the probability P(T > 30) when X1 and X2 are independent, normally distributed variables, we need to convert T into a standard normal distribution. We can do this by subtracting the mean of T from 30 and dividing by the standard deviation of T. This gives us (30 - (-10))/√425, which simplifies to approximately 6.16.  We can then look up the corresponding probability from the standard normal distribution table or use statistical software to find P(T > 30). The probability will be the area under the standard normal curve to the right of 6.16.

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The probability that a randomly selected car is violating the speed limit of 50 miles per hour is 0.43.

To find the probability that a randomly selected car is violating the speed limit of 50 miles per hour, we need to find the probability that the speed of the car is greater than 50 miles per hour. Since the speed of cars on the road is normally distributed with an average of 51 miles per hour and a standard deviation of 5.9 miles per hour, we can use the standard normal distribution table to find the probability.

First, we need to convert the speed limit of 50 miles per hour to a z-score. This is done by using the formula:

z = (x - μ) / σ

where x is the observed value, μ is the mean, and σ is the standard deviation.

z = (50 - 51) / 5.9

z = -0.169

To find the probability of a car going faster than 50 mph, we need to find the probability that z is greater than -0.168. This probability can be found using a standard normal distribution table. The probability that a car goes over 50 mph is around 0.432945.

So the probability that a randomly selected car is violating the speed limit of 50 miles per hour is 0.43.

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The chemiosmotic synthesis of ATP is a process that occurs in the mitochondria and involves the production of ATP through the flow of protons (H+) across a membrane. This process is driven by a proton gradient established by the electron transport chain.

During cellular respiration, electrons are passed along the electron transport chain, pumping protons from the mitochondrial matrix into the intermembrane space. This creates a proton gradient across the inner mitochondrial membrane. The protons then flow back into the matrix through ATP synthase, a complex enzyme embedded in the membrane. As the protons move through ATP synthase, their energy is used to phosphorylate ADP to ATP.

In summary, the chemiosmotic synthesis of ATP relies on the flow of protons across a membrane, driven by the electron transport chain. This process enables the coupling of electron transfer with ATP synthesis, providing cells with the energy currency required for various biological processes.

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Which of the following statements accurately describes the chemiosmotic synthesis of ATP?

Answer:

x = 14

Z = 60°

Step-by-step explanation:

9x - 6 = 12x - 48      (because these are congruent vertical angles)

-3x = -42

x = -42/-3 = 14

Find the measure of the vertical angles:

9(14) - 6 = 120   (this angle is supplementary to angle Z)

180 - 120 = 60 = m∠Z

The amount of money that will be removed from the account is B. $48.

From the information, the bank charges an out-of-network service fee of $4.00, and you withdraw $40 from each of two out-of-network ATMs.

Since the withdrawal was made in 2 places, the total amount removed will be:

= Amount withdrawn + Charge

= $40 + ($4 × 2)

= $40 + $8

= $48

The correct option is B

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Is the relation a function:

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

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