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The number of outcomes where team A wins 2 games, loses 3 games, and ties 2 games is 210.

In problem 1, there are three possible outcomes for each game: win, loose, or tie.

So, for seven games, there are 3x3x3x3x3x3x3 = 2187 different outcomes.

For problem 2, we need to calculate the number of ways that team A can win two games, lose three games, and tie two games.

To do this, we can use the binomial coefficient formula, which is (n choose k) = n!/(k!(n-k)!).

In this case, n=7 (the total number of games), k=2 (the number of games that team A wins), and m=2 (the number of games that team A ties).

So the number of outcomes where team A wins 2 games, loses 3 games, and ties 2 games is (7 choose 2)(5 choose 3)(2 choose 2) = 210.

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Answer:

v=20π ft/s

Step-by-step explanation:

Given:

Distance from the security car to the movie theater, D=25 ft

Distance of the reflection from the car, d=30 ft

Speed of rotation of the strobe lights, 2 rev/s

To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.

We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.

ω=2πf

=> ω=2π(2)

=> ω=4π rad/s

The distance between the security car and the reflection on the wall of the theater is...

r=30-25= 5 ft

The speed of reflection is given as (this is the linear velocity)...

v=ωr

Plug our know values into the equation.

v=ωr

=> v=(4π)(5)

∴ v=20π ft/s

Thus, the problem is solved.

The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.

To solve this problem, we can use the concept of related rates. Let's consider the following variables:

x: Distance between the security car and the movie theater wall

y: Distance between the reflection of the security strobe lights and the security car

θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights

We are given:

x = 25 ft (constant)

y = 30 ft (changing)

θ = 2 revolutions per second (constant)

We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.

Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:

x^2 + y^2 = z^2

Differentiating both sides of the equation with respect to time (t), we get:

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.

Plugging in the known values, we have:

2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)

Simplifying the equation, we find:

60(dy/dt) = 120π

Dividing both sides by 60, we get:

dy/dt = 2π ft/s

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The angles of a triangle with side lengths 5 , 12 and 13 are 90°, 22.63°, 67.38°.

In trigonometry, the law of cosines, also known as the law of cosines or cosine formula, basically relates the length of a triangle to one cosine of its angle. It states that if we know the lengths of two sides of a triangle and the angle between them, we can determine the length of the third side. c² = a²+ b² – 2ab cosγ

where a, b, c are the sides of the triangle and γ is the angle between a and b, see image above.

To find the length of a side of a triangle, take △ABC according to the cosine formula, which can be written as follows.

We have , a = 5 , b = 12 , c= 13

cos α =( 12² + 13² - 5² )/2×12×13= 288/312

=> α = cos⁻¹(0.923 ) = 22.63°

cos β = (5² + 13² - 12² )/2×13×5 = 50/130

=> β = cos⁻¹(5/13) = 67.38°

cos γ = (12² + 5² - 13² )/2×12×5= 0

=> γ = cos⁻¹(0) = 90°

Hence, the required angles are 90°, 22.63°, 67.38°.

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False. The correlation coefficient can vary between -1 and 1, and it can be negative.

The correlation coefficient is a statistical measure that quantifies the strength and direction of the relationship between two variables. It ranges from -1 to 1, inclusive. A value of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable increases proportionally. A value of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases proportionally. A correlation coefficient of 0 indicates no linear relationship between the variables.

Therefore, the statement that the correlation coefficient varies between 0 and 1 and can never be negative is false. The correlation coefficient can indeed be negative, indicating a negative relationship between the variables. It is important to note that the correlation coefficient only measures the strength and direction of the linear relationship between the variables and does not capture other types of relationships, such as non-linear or causal relationships.

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Answer:

here

Step-by-step explanation:

so most of the time it would land on brown only 5% of the time would it land on red and the other there is a 0% chance

Step-by-step explanation:

We can verify our result by converting the binary numbers to respective decimal numbers and then dividing the dividend by the divisor to get the result.

Here, (110101.11)2 = (53.75)10, (101)2 = (5)10 and (1010.11)2 = (10.75)10. When we will divide 53.75 by 5, we will get the result as 10.75, which we are getting by doing division of binary numbers. Hence our solution is correct.

Answer:

T−.5×(2.00)

Step-by-step explanation:

The total of the two terms that represent the length of the garden's walkway:  26x + 28

A walkway around a rectangular garden.

Simplifying each equation.

Area of the garden : 4(4.5 x + 1.5) = 18x + 6

Combined area:  5.5(8 x + 4) = 44x + 22

Thus,

Area of walkway = Combined area - Area of the garden

                                = 44x + 22 - 18x + 6

                                = 26x + 28

Thus, the total of the two terms that represent the length of the garden's walkway:  26x + 28

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For the first scenario, the point estimate for the population proportion p is calculated by dividing the number of adults not confident about food safety (285) by the total number of adults surveyed (1754). The point estimate for q is obtained by subtracting p from 1.In the second scenario, the confidence interval for the proportion is given as ±3.8%, which indicates the margin of error.

1. Scenario 1: For the point estimate of p and q, divide the number of adults not confident (285) by the total number surveyed (1754) to obtain p. Then, calculate q by subtracting p from 1.

2. Scenario 2: To translate the provided margin of ±3.8% into a confidence interval, take the point estimate of 65% and add and subtract the margin of error. For example, if the point estimate is 65% and the margin of error is 3.8%, the confidence interval would be (65% - 3.8%, 65% + 3.8%). However, the level of confidence is not given, so it is not possible to determine the exact confidence interval or the confidence level from the information provided.

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The total cost of the fencing can be expressed as a function of x: C(x) = $24x.

Let's assume that the width of the soccer field is x feet. Then the length of the soccer field is 3x feet.

The east and west sides have a combined length of 3x feet, and the cost per foot of fencing is $6, so the total cost for the east and west sides is $6 * 3x = $18x.

The north and south sides have a combined length of 2x feet, and the cost per foot of fencing is $3, so the total cost for the north and south sides is $3 * 2x = $6x.

The total cost of the fencing is the sum of the cost of the east and west sides and the north and south sides: $18x + $6x = $24x.

So, the total cost of the fencing can be expressed as a function of x: C(x) = $24x.

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Answer:

Triangle RST is an equilateral triangle.

Step-by-step explanation:

All three sides of the triangle are of equal length, therefore, because an isosceles triangle is when 2 sides of the triangle are the same length, a scalene triangle being when all sides are of different lengths, and a right triangle having a right angle (a 90 degree angle), this only leaves equilateral, all three sides being the same length, like in the triangle shown.

Answer:

A(t)+900=x

B(t)+500=x

for the sake of things X represents the answer and as both need to equal the same it works out so that plugging it into a calculator should give you the answer

Step-by-step explanation:

you could start by making a T chart on one Side A the other B starting with 900 at A and 500 at B go down by the appropriate increments 950, 600;1000, 700; 1050, 800; 1100, 900, 1150, 1000; 1200, 1100; 1250, 1200, and you guessed it, 1300, 1300. so there you go X=1300

I'm not sure,, is there a paper or written length of the sharks,, or is it going off of searching it on the internet?

You haven't given the length of each shark so we can't really calculate the total length of the 7 sharks but I'll just give a strategy to find it.

let \(x\) be the length of the blacktop sharks and let \(y\) be the length of the tiger sharks. In order to figure out their total length, you can use this formula:

\(3x\ +\ 4y\ =total\ length\ of\ sharks\)

Answer:

3/4

Step-by-step explanation:

When finding common denominators the answer would be 3/4.

Answer:

2/3 is not greater than 3/4

Step-by-step explanation:

Answer: 17 nickels, 8 dimes

Step-by-step explanation:

Since we are given system of equations, we can use elimination method to find n or d. First, let's eliminate n. To do so, we need to make sure they are equal to each other. Then, we would have to multilpy the second equaiton by 0.05.

0.05N+0.1D=1.65

0.05N+0.05D=1.25

Now, we can subtract the 2 equations.

0.05D=0.4

D=8

Now that we know the number of dimes, we can plug it into any of the equations to find nickels.

N+8=25

N=17

There are 17 nickels and 8 dimes.

He should compare frequencies because it allows for clearer comparison of groups of each size.

What do you mean by frequency?

The frequency of a repeated event is its number of instances per unit of time. [1] In some cases, it is also referred to as temporal frequency or ordinary frequency to underline differences with spatial and angular frequencies, respectively. The quantity of times a specific data value occurs is known as its frequency. We use f to represent a data value's frequency.

We analyze categorical data by recording percentages of cases occuring in  each category.

Therefore, he should compare frequencies because it allows for clearer comparison of groups of each size.

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Answer:

Step-by-step explanation:

Given equation of the line is,

y = 2x + 1

By comparing this equation with the slope-intercept form of the equation,

y = mx + b

m = Slope of the line = 2

b = y-intercept = 1

Table for the input - output values,

x        -1            0            1            2

y        -1            1             3           5  

Now graph these points on the graph and join them by a straight line.

Answer:

1) c=100

2) x^4-40x^3+400x^2

Step-by-step explanation:

When I write ^# that means it's squared and has a number above it :)

You're welcome :)

The value of the expression after evaluating it according to the values of c and d is 42.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Since, no expression is given, let us assume that the expression is

c + d / 4

Now we have to evaluate the value of the expression according to the values of c and d,

For that, we will simply put the given values in the expression and solved it accordingly,

Put c = 36 and d = 24 in the expression we assumed,

c + d / 4 = 36 + 24/4

= 36 + 6 = 42

Hence, the value of the expression after evaluating it according to the values of c and d is 42.

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Answer:

i need help too

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

x = - 3 is a vertical line parallel to the y- axis.

A line perpendicular to it will therefore be a horizontal line parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (6, - 4 ) with y- coordinate - 4 , then

y = - 4 ← equation of perpendicular line

Answer:

B

Step-by-step explanation:

The inequality is 1.20$ x + 3.60 < 9.60, the amount of money in total that Rammy has. As said, for each pound of peaches it would cost 1 dollar and 20 cents (1.20) So for the gallon of milk if Rammy bought it he would have 6$ left to spend on the pounds of peaches. So you do 6$ (600) divided by 1.20$  (120) and you would get 5 pounds of peaches. Therefore, Rammy can buy 5 or more pounds of peaches.

Answer:

Width = 5.7 ft, Length = 10.5 ft

Step-by-step explanation:

Let the width be \(w\). Then, the length is \(2w-0.9\).

\(w(2w-0.9)=59.85 \\ \\ 10w(20w-9)=5985 \\ \\ 200w^2-90w-5985=0 \\ \\ 40w^2-18w-1197=0 \\ \\ (4w+21)(10w-57)=0 \\ \\ w=5.7 (w>0) \\ \\ \implies 2w-0.9=2(5.7)-0.9=10.5\)

The answer is , we can not conclude the convergence or divergence of this series using the alternating series test.

Given series is:

\(\[\sum_{n=1}^{\infty} (-1)^{n-1} \frac{2}{9^n}\]\)

Let's apply the Alternating series test:

For the series: \(\[\sum_{n=1}^{\infty} (-1)^{n-1} b_n\]\)

If the following two conditions hold good:

1.\(b_n \geq 0\) for all n

2.\(\{b_n\}\) is decreasing for all n.

Then the alternating series: \(\[\sum_{n=1}^{\infty} (-1)^{n-1} b_n\]\)Converges.

So here,\(b_n = \frac{2}{9^n}\) And \(b_n \geq 0\) for all n.

Now, let's check the second condition.

\(\{b_n\}\) is decreasing for all n \(\begin{aligned} b_n \geq b_{n+1} \\\\ \frac{2}{9^n} \geq \frac{2}{9^{n+1}} \\\\ \frac{1}{9} \geq \frac{1}{2} \end{aligned}\)

This is not true for all n.

Therefore, we can not conclude the convergence or divergence of this series using the alternating series test.

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A bicycle has wheels with a diameter of 622 mm. the bicycle rolls forward and the wheel turns 5pi/6 radians. The bicycle moves forward by 5115.744947897984 millimeters.

The bicycle wheel has a diameter of 622 millimeters, so its circumference is 622 * pi = 1914.32 millimeters. If the wheel turns 5pi/6 radians, then it has traveled 5pi/6 * 1914.32 = 5115.744947897984 millimeters.

The circumference of a circle is equal to its diameter multiplied by pi. In this case, the diameter is 622 millimeters, and pi is approximately 3.14. So, the circumference is 622 * pi = 1914.32 millimeters.

The wheel turns 5pi/6 radians. A radian is a unit of angle measurement that is equal to the arc length of a circle divided by its radius. In this case, the wheel has turned 5pi/6 radians, which is equal to 5 * pi / 6 * 180 degrees = 255 degrees.

To find the distance that the bicycle has moved, we need to multiply the circumference of the wheel by the number of radians that the wheel has turned. In this case, the distance that the bicycle has moved is 1914.32 millimeters * 255 degrees = 5115.744947897984 millimeters.

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A bicycle has wheels with a diameter of 622 mm. the bicycle rolls forward and the wheel turns 5pi/6 radians. The bicycle moves forward by 5115.744947897984 millimeters.

The bicycle wheel has a diameter of 622 millimeters, so its circumference is 622 * pi = 1914.32 millimeters. If the wheel turns 5pi/6 radians, then it has traveled 5pi/6 * 1914.32 = 5115.744947897984 millimeters.

The circumference of a circle is equal to its diameter multiplied by pi. In this case, the diameter is 622 millimeters, and pi is approximately 3.14. So, the circumference is 622 * pi = 1914.32 millimeters.

The wheel turns 5pi/6 radians. A radian is a unit of angle measurement that is equal to the arc length of a circle divided by its radius. In this case, the wheel has turned 5pi/6 radians, which is equal to 5 * pi / 6 * 180 degrees = 255 degrees.

To find the distance that the bicycle has moved, we need to multiply the circumference of the wheel by the number of radians that the wheel has turned. In this case, the distance that the bicycle has moved is 1914.32 millimeters * 255 degrees = 5115.744947897984 millimeters.

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Answer:

it is asking if the correlation is negative or positive. then the correlation number which should be the r-value will determine if it is a strong, moderate, or weak association.

Answer:

54 That Is how big it is

ur welcom

Answer:

Answer:

first of all you have to take the L.C.M of both which will be 100

Step-by-step explanation:

\(2 \div 10 + 28 \div 100 \\ = \frac{20 + 28 }{100} \\ = \ \frac{12}{25} \)

Answer:

68

Step-by-step explanation:

What you do in problems like this,For example on this question you would multiply 12 by 7 and then subtract what they took away which would be 68.

Answer:

the answer is 4x2

Step-by-step explanation:

p(X)-q(X) = x4 + 2x2 + 1 - ( x4 - 2x2 + 1 )

p(X)-q(X) = x4 + 2x2 + 1 - x4 + 2x2 - 1 )

p(X)-q(X) = 2x2 + 2x2

p(X)-q(X) = 4x2

Answer:

p(x) - q(x) = 4x²

Step-by-step explanation:

p(x) - q(x)

= \(x^{4}\) + 2x² + 1 - (\(x^{4}\) - 2x² + 1)  ← distribute parenthesis by - 1

= \(x^{4}\) + 2x² + 1 - \(x^{4}\) + 2x² - 1 ← collect like terms

= 4x²