help help help help help

Answer:

3

Step-by-step explanation:

Let's represent the situation mentioned in the problem. Let's assume that the number of reserved seat tickets sold is "x" and the number of general admission tickets sold is "y".

We know that the cost of one reserved seat ticket is $5.00, therefore the cost of x reserved seat tickets is 5x dollars. We also know that the cost of one general admission ticket is $3.00, therefore the cost of y general admission tickets is 3y dollars. We also know that the total revenue from the game is $3680.00. The total number of people who attended the game is 1082. We know that the number of reserved seats sold and the number of general admission seats sold is equal to the total number of people who attended the game.

Therefore, the sum of the number of reserved seat tickets and the number of general admission tickets sold is equal to 1082.x + y = 1082. We also know that the total revenue gained was $3680.00. Therefore, the cost of all the reserved seat tickets plus the cost of all the general admission tickets is equal to $3680.00.5x + 3y = 3680. So the system of equations is: x + y = 10825x + 3y = 3680

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Answer:

median

Step-by-step explanation:

In all these cases, no interaction means that the variables act independently on the response variable Y, and their combined effects are simply additive rather than multiplicative or otherwise interdependent.

No interaction in modeling response variable Y and explanatory variables X and Z means that the effect of each explanatory variable on the response variable is independent of the other explanatory variable. This can be illustrated using graphs or tables as follows:

a. When all variables are continuous (multiple regression), no interaction means that the slope of Y on X is constant regardless of the level of Z, and the slope of Y on Z is constant regardless of the level of X. In other words, the effect of X on Y is the same for all levels of Z, and the effect of Z on Y is the same for all levels of X.

b. When Y and X are continuous, and Z is categorical (analysis of covariance), no interaction means that the mean difference in Y between each level of Z is the same for all levels of X. In other words, the effect of Z on Y is the same for all levels of X.

c. When Y is continuous, and X and Z are categorical (two-way ANOVA), no interaction means that the mean difference in Y between each combination of X and Z is the same. In other words, the effect of X on Y is the same for all levels of Z, and the effect of Z on Y is the same for all levels of X.

d. When Y is binary, and X and Z are categorical (logistic regression), no interaction means that the odds ratio of Y on X is the same for all levels of Z, and the odds ratio of Y on Z is the same for all levels of X. In other words, the effect of X on the odds of Y is the same for all levels of Z, and the effect of Z on the odds of Y is the same for all levels of X.

a. Multiple regression (All variables are continuous): No interaction means that the effect of one explanatory variable (X) on the response variable (Y) does not depend on the value of the other explanatory variable (Z). In a graph, this would be represented by parallel lines or planes when plotting Y against X for different values of Z.

b. Analysis of covariance (Y and X are continuous, Z is categorical): No interaction suggests that the relationship between Y and X is consistent across different levels of the categorical variable Z. In a graph, this would appear as parallel regression lines for each category of Z.

c. Two-way ANOVA (Y is continuous, X and Z are categorical): No interaction means that the effect of one categorical variable (X) on the response variable (Y) is not influenced by the levels of the other categorical variable (Z). In a table, this would be evident by having similar differences between cell means across all combinations of X and Z.

d. Logistic regression (Y is binary, X and Z are categorical): No interaction implies that the odds of the binary response variable (Y) occurring do not depend on the combined effect of X and Z. In a table, the odds ratios for different levels of X and Z should be consistent, indicating no interaction between the two categorical variables.

In all these cases, no interaction means that the variables act independently on the response variable Y, and their combined effects are simply additive rather than multiplicative or otherwise interdependent.

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Answer:

Let heads represent a person who exercises the given amount, and let tails represent a person who doesn’t. Because there are three people, flip the coin three times (once for each person) and note the results of each set of three flips. If all three flips land on tails, it would mean that all three randomly selected people do not exercise as much as 50% of Americans do.

Step-by-step explanation:

Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75. To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:

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

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms.

For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395

For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266

For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122

To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923

Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75.

To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms. For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395
For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266
For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122
To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923. Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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Answer: I think its 32 meals

Step-by-step explanation:

Just divide 24 by 3/4

Answer:

24/0.75=32

jsbwjowbshsiso

Hi,

\( \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} \)

\( \frac{2}{3} \times \frac{40}{1} = \frac{80}{3} \)

2/3 of 40:

80/3

\( \frac{3}{5} \times \frac{45}{1} = \frac{135}{5} = 27\)

3/5 of 45:

27

✅(. ❛ ᴗ ❛.)

Answer:

A= 26.67

B= 27

Step-by-step explanation:

2/3 x 40 = 26.67

(2×40= 80÷3 = 26.67)

and...

3/5 x 45 = 27

(3×45= 135÷5=27)

Hope this helped you- have a good day bro cya)

Answer:

72.26

Step-by-step explanation:

Circumference formula is C=2\(\pi\)r

Radius is 1/2 the diameter so, 23/2 = 11.5

11.5 will be your radius.

Now, plug your radius into your formula: 2 x \(\pi\) x 11.5

and your answer will be approximately 72.26.

The height of the right triangle is 24 centimeters. This is determined by solving the equation for the area of the triangle, which is given as 96 cm², and considering that the height is 3 times the length of the base. By substituting the values and solving the equation, we find that the height is indeed 24 centimeters.

To determine the height of the right triangle, we can use the formula for the area of a triangle, which is given by the formula A = (1/2) * base * height. In this case, the area is known to be \(96 cm^2\).

Let's denote the length of the base as x. According to the problem statement, the height is 3 times the length of the base, so the height can be expressed as 3x.

Substituting these values into the area formula, we get:

\(96 = (1/2) * x * 3x\)

Simplifying the equation:

\(96 = (3/2) * x^2\)

To solve for x, we can divide both sides of the equation by (3/2):

\(64 = x^2\)

Taking the square root of both sides, we find:

x = 8

Since the height is 3 times the length of the base, the height is:

3 * 8 = 24 centimeters.

Therefore, the height of the right triangle is 24 centimeters.

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Answer:

(x + 1)² = 4(y + 10)

Step-by-step explanation:

Equation of parabola:

(x - h)² = 4a(y - k)

with vertex(h, k) and focus (h, k + a)

vertex(h, k) = (-1, -10)

⇒h = -1 and k = -10

focus (h, k + a) = (-1, -9)

⇒ k + a = -9

⇒ -10 + a = -9

⇒ a = 10 - 9

⇒ a = 1

Equation of parabola:

(x - h)² = 4a(y - k):

(x - (-1))² = 4(1)(y - (-1))

= (x + 1)² = 4(y + 10)

Using the concept of algebraic expression it can be concluded that the small number is 17 and the larger number is 28.

In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions.

Sum of two numbers = 45

Let the small number be x.

So, the larger number will be 11 + x.

As we know, sum of two numbers = 45

(x) + (x+11) = 45

2x + 11 = 45

Subtract 11 from the both sides of the answer to obtain:

2x + 11 - 11 = 45 - 11

2x = 34

Dividing both sides by 2.

x = 17

So, the small number is 17, therefore the larger number will x + 11 or 11 + 17 = 28.

Therefore, the smaller number is 17 and the larger number is 28.

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The indifference curve equation given is x2 = 20 - 4x^(1/2)*1, where x1 and x2 represent the quantities of two goods Ambrose is consuming.

The marginal rate of substitution (MRS) measures the rate at which Ambrose is willing to trade one good for the other while remaining on the same indifference curve. It is calculated as the negative ratio of the derivatives of the indifference curve with respect to x1 and x2, i.e., MRS = -dx1/dx2. Given that Ambrose is consuming the bundle (4,16), we can substitute these values into the indifference curve equation to find the corresponding MRS.  Plugging in x1 = 4 and x2 = 16, we have: 16 = 20 - 4(4)^(1/2)*1; 16 = 20 - 8; 8 = 8. This confirms that the bundle (4,16) lies on the indifference curve. Now, we are given that the MRS at this point is 25/4.

Therefore, we can set up the following equation: dx1/dx2 = 25/4. Simplifying, we have: dx1/dx2 = -25/4. This indicates that the rate at which Ambrose is willing to trade good x1 for good x2 at the bundle (4,16) is -25/4. The MRS represents the slope of the indifference curve at a given point and reflects the trade-off between the two goods. In this case, it indicates that Ambrose is willing to give up 25/4 units of good x1 in exchange for one additional unit of good x2 while maintaining the same level of satisfaction.

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Answer:

x = 3√7.

y = 12.

Step-by-step explanation:

The 2 triangles are similar so:

x/9 = 7/x

x^2 = 63

x = √63

   = 3√7.

By Pythagoras' theorem

y^2 = 9^2 + (3√7)^2

      =  81 + 63

      = 144

y = 12.

The part of the two column proof that shows us that angles with a combined degree measure of 90° are complementary is statement 3

Two column proof is the most common formal proof in elementary geometry courses. Known or derived propositions are written in the left column, and the reason why each proposition is known or valid is written in the adjacent right column.  

Complementary angles are defined as angles that their sum is equal to 90 degrees.

Now, the part of the two column proof that shows us that angles with a combined degree measure of 90° are complementary is statement 3 because it says that <1 is complementary to <2 and this is because the sum is:

40° + 50° = 90°

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Answer:

Given statement is false.

Step-by-step explanation:

Given that,

All irrational numbers have some repeating pattern which can  be used to compare them to rational numbers.

We know that,

Rational number :

A rational number is defined such a number which can be written as a ratio.

It means we can write a rational number as a fraction.

For example : 2, 3/2 and 4/2... etc.

In the fraction, both number are4 whole number.

So, we can say that, a number which can be define as a fraction it is called rational number.

Irrational number :

An irrational number is defined such a number which can not be written as a ratio.

For example : √5, √10 and √15...etc

So, we can say that, a number which can not be define as a fraction it is called irrational number.

We need to find all irrational numbers have some repeating pattern which can  be used to compare them to rational numbers

According to rational number and irrational number

This statement is false.

Suppose, √2 is irrational but not repeating.

So, we can't write √2 as rational number.

Hence, Given statement is false.

The mean value of the radius (r) at which you would find the electron, given the H atom wave function is 100(r), is 0.

The wave function of an electron in the hydrogen atom, denoted by Ψ, describes the probability distribution of finding the electron at different positions around the nucleus. In this case, the given wave function is 100(r), where r represents the radius.

To calculate the mean value of the radius, we need to evaluate the integral of r multiplied by the absolute square of the wave function, integrated over all possible values of r. However, the wave function 100(r) does not provide a valid description of the hydrogen atom's electron distribution. The wave function should be normalized, meaning that the integral of the absolute square of the wave function over all space should equal 1. In this case, the given wave function lacks normalization.

Since the wave function is not properly normalized, we cannot accurately calculate the mean value of the radius. Without normalization, the probability distribution described by the wave function does not provide meaningful information about the electron's position.

In summary, based on the given wave function, the mean value of the radius cannot be determined without proper normalization of the wave function. A properly normalized wave function is necessary to obtain accurate information about the electron's position.

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The high temperature for today using a 3-day moving average is 92 degrees.

To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.

Given the daily high temperatures in St. Louis for the last week:

92, 92, 93, 95, 95, 86, 95 (yesterday)

To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.

(95 + 86 + 95) / 3 = 92

Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.

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Answer:

A terminating decimal

Step-by-step explanation:

Because it doesn't cause the number to be repetitive. It just ends right there at 2.

It can be either. If it is 0.2, then it is terminating.

If it is 0.2222222 and so on, it is repeating.

Hope this helps. :)

The expected value of x is 7/3.

The probability function of a random variable can be used to find the expected value of the random variable.

In this case, x is a random variable with the probability function: f(x) = x/6 for x = 1,2, or 3.

The expected value of x can be found using the formula:

E(X) = Σ[x * f(x)]For the given probability function, we can find the expected value of x as follows:

E(X) = (1 * f(1)) + (2 * f(2)) + (3 * f(3))Here, f(1) = 1/6, f(2) = 2/6 = 1/3, and f(3) = 3/6 = 1/2.

Substituting these values, we get:

E(X) = (1 * 1/6) + (2 * 1/3) + (3 * 1/2)= 1/6 + 2/3 + 3/2= 1/6 + 4/6 + 9/6= 14/6= 7/3

Therefore, the expected value of x is 7/3.

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The true mean number of pushups that can be performed, as determined by the t-distribution, is within a 95% confidence interval of (9, 21).

Since we know the sample standard deviation for this issue, the t-distribution is applied.

Given,

The sample mean, x = 15 .

The sample standard deviation, s = 9 .

The sample size, n = 10 .

As a result, df = 9. Next, we determine the number of degrees of freedom, which is one less than the sample size.

The crucial value for a 95% confidence interval is then determined by looking at the t-table or using a calculator, yielding t = 2.2622.

The margin of error;

M = t × s/n

Then,

M = 2.2622 × 9/√10 = 6

The confidence interval is:

x ± M

Then

x - M = 15 - 6 = 9

x + M = 15 + 6 = 21

Therefore,

The confidence interval is (9, 21).

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\( {\large\underline{\sf{Solution-}}}\)

Given function is

\(\rm \longmapsto\:y = \sqrt{ {x}^{2} - 4} \)

We know

Domain of a function is defined as set of those real values of x for which function is well defined.

So, y is defined when

\(\rm \longmapsto\: {x}^{2} - 4 \geqslant 0\)

\(\rm \longmapsto\: {x}^{2} - {2}^{2} \geqslant 0\)

\(\rm \longmapsto\: (x - 2)(x + 2) \geqslant 0\)

\(\rm\implies \:x \leqslant - 2 \: \: or \: \: x \geqslant 2\)

\(\rm\implies \:x \: \in \: ( - \infty , \: - 2] \: \cup \: [2, \: \infty )\)

Now, To find the range of function

We know,

Range of a function is defined as set of those real values which is obtained by assigning the values to x.

So,

\(\rm \longmapsto\:y = \sqrt{ {x}^{2} - 4} \)

On squaring both sides, we get

\(\rm \longmapsto\: {y}^{2} = {x}^{2} - 4\)

\(\rm \longmapsto\: {y}^{2} + 4= {x}^{2}\)

\(\rm \longmapsto\:x = \sqrt{ {y}^{2} + 4 } \)

Now, x is defined when

\(\rm \longmapsto\: {y}^{2} + 4 \geqslant 0 \: which \: is \: always \: true \: \forall \: y \in \: real \: number\)

But,

\(\rm \longmapsto\:y \geqslant 0\)

Hence,

\(\rm\implies \:Range \: of \: function \: = [0, \: \infty )\)

So, we have

\(\rm\implies \:Domain \: of \: function : x \: \in \: ( - \infty , \: - 2] \: \cup \: [2, \: \infty )\)

and

\(\rm\implies \:Range \: of \: function \: = [0, \: \infty )\)

The linear function f with the given values f(0) = 2, f(3) = -1 is f(x) = -x + 2.

What is Linear Function?

A straight line on the coordinate plane is represented by a linear function.

The linear function formulas are:

Here, we have

The given functions are f(0)=2 and f(3) = -1

For f(0) = 2

Coordinate: (0,2)

y-intercept, c: 2

For f(3) = -1

Coordinate: (3,-1)

gradient or slope, m when x₁ = 0, y₁ = 2, x₂ = 3, y₂ = -1

=( y₂-y₁)/(x₂-x₁)

= ( -1 -2)/(3 - 0)

= -3/3

= -1

The linear equation is in the slope-intercept form, y=mx+c

f(x) = -x+2, where -1 is the slope and 2 is the y-intercept.

Hence, The linear function f with the given values f(0) = 2, f(3) = -1 is f(x) = -x + 2.

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The points A(2, -1, 4), B(3, 1, 2), C(0, 5, 6), and D(-1, 3, 8) form a parallelogram. The area of the given parallelogram is 12 square units.  It is not a rectangle.

To verify if the given points form a parallelogram, we need to check if both pairs of opposite sides are parallel.

The vectors formed by the sides AB and CD are AB = (1, 2, -2) and CD = (-1, -2, 2). The vectors formed by the sides BC and AD are BC = (-3, 4, -4) and AD = (-3, 4, -4).

Comparing these vectors, we can see that AB and CD are parallel, as are BC and AD. This indicates that the given points A, B, C, and D form a parallelogram.

To find the area of the parallelogram, we can use the cross product of the vectors AB and AD (or BC and CD) to find the area of the corresponding parallelogram. The magnitude of the cross product of AB and AD is |AB × AD| = 12.

Since the area of a parallelogram is equal to the magnitude of the cross product of its adjacent sides, the area of the given parallelogram is 12 square units.

To determine if the parallelogram is a rectangle, we can check if any of its angles are right angles. However, since the given points do not have any indication of angles, we cannot determine if the parallelogram is a rectangle based on the information provided.

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Answer:

the answer is 10

Step-by-step explanation:

the answer is 10 because -4 multiplied by -5 is 20 and 20-10=10

The area of the trapezoid is 42.5 m².

A trapezium is a quadrilateral with four sides where two sides are parallel to each other.

We have,

Trapezoid:

Short base = 3 m

Height = 5 m

Large base.

= 4 + 3 + 7

= 14 m

Now,

Area of a trapezoid.

= 1/2 x (Short base + Large base) x h

= 1/2 x (3 + 14) x 5

= 1/2 x 17 x 5

= 42.5 m²

Thus,

Trapezoid area is 42.5 m².

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Answer:

I just did this quetio with the tutor the answers are 2, 3, and 5.