Please help. I will give brainliest + 50 points.

Answer:

22.5%

Step-by-step explanation:

The total number of students in percentage terms is 100%

Students that chose others = 100% - 40% - 37.5% = 22.5%

Answer:

The answer is 63.5

Step-by-step explanation:

9.3(3)+8.9(4)

= 27.9 + 35.6

= 63.5

The p-value of the given hypothesis is; 0.9999

The formula for the z-score of proportions is;

z = (p^ - p)/√(p(1 - p)/n)

where;

p^ is sample proportion

p is population proportion

n is sample size

We are given;

p^ = 15% = 0.15

p = 20% = 0.2

n = 5000

Thus;

z = (0.15 - 0.2)/√(0.2(1 - 0.2)/5000)

z = -8.8388

From p-value from z-score calculator, we have;

P(Z < -8.8388) = 1 - 0.0001 = 0.9999

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Area of the region enclosed by one loop of the curve is pi/288.

To find the area of the region enclosed by one loop of the curve, we can use the formula for the area of a polar region:

A = 1/2 * ∫(r^2)dθ

We can use this formula with the equation for r given:

A = 1/2 * ∫(sin^2(6θ))dθ

This integral can be simplified by noting that sin^2(x) = (1/2)(1 - cos(2x))

Thus,

A = 1/2 * ∫(1/2)(1 - cos(12θ))dθ

This integral can be solved by noting that the antiderivative of (1/2)(1 - cos(12θ)) is (1/24)(sin(12θ) + θ).

Therefore, the area enclosed by one loop of the curve is

A = 1/2 * ((1/24)(sin(12θ) + θ)) evaluated from 0 to pi/6

A = (1/48)(sin(2pi) + pi/6)

   = (1/48)(0 + pi/6)

   = pi/288

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The value c = 6.25 satisfies the condition f(c) = f_avg for the function f(x) = 1/sqrt(x) over the interval [4, 9].

To find the value c such that f(c) = f_avg for the function f(x) = 1/sqrt(x) over the interval [4,9], we first need to find the average value of the function over this interval.

The formula for the average value of a function f(x) over the interval [a,b] is given by:

f_avg = 1/(b-a) * ∫[a,b] f(x) dx

Substituting the values a = 4 and b = 9, and the function f(x) = 1/sqrt(x), we get:

f_avg = 1/(9-4) * ∫[4,9] 1/sqrt(x) dx
     = 2/5 * [2sqrt(9) - 2sqrt(4)]
     = 2/5 * 4
     = 8/5

So, the average value of f(x) over the interval [4,9] is 8/5.

To find the value c such that f(c) = f_avg, we set f(x) = f_avg and solve for x:

1/sqrt(x) = 8/5

Solving for x, we get:

x = (5/8)^2
 = 0.390625

Therefore, the value c such that f(c) = f_avg for the function f(x) = 1/sqrt(x) over the interval [4,9] is approximately 0.390625.

To find the value c such that f(c) = f_avg for the function f(x) = 1/sqrt(x) over the interval [4, 9], first we need to calculate the average value (f_avg) of the function over this interval.

The formula to find the average value of a continuous function over an interval [a, b] is:

f_avg = (1 / (b - a)) * ∫[a, b] f(x) dx

For f(x) = 1/sqrt(x) over the interval [4, 9]:

f_avg = (1 / (9 - 4)) * ∫[4, 9] (1/sqrt(x)) dx

Calculate the integral:

∫(1/sqrt(x)) dx = 2 * sqrt(x)

Now, evaluate the integral over the interval [4, 9]:

2 * (sqrt(9) - sqrt(4)) = 2 * (3 - 2) = 2

Now, calculate f_avg:

f_avg = (1 / 5) * 2 = 2/5

Now we want to find c such that f(c) = f_avg:

f(c) = 1/sqrt(c) = 2/5

Solve for c:

c = (1 / (2/5))^2 = 6.25

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The fence Ben paints is 150 square feet.

Given:

ratio of the amount of work allen does to the amount of work ben does is 3:5

allen : ben = 3:5

total work done in ratio = 3 + 5 = 8

Count the fence Ben paints

Since , fence requires a total of 240 square feet to be painted

Thus, ben = ratio of ben/ total ratio × total of works

ben = 5/8 × 240

ben = 1,200/8

ben = 150

Hence , The fence Ben paints is 150 square feet .

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The probability that 3 of 8 stolen cars will be recovered is 0.296 or approximately 0.30.

The given problem involves a binomial distribution, where the probability of success (recovering a stolen car) is p = 0.78 and the number of trials is n = 8. We need to find the probability of getting exactly 3 successes.

The probability of getting exactly k successes in n trials can be calculated using the binomial probability formula:

P(k successes) = (n choose k) * \(p^k\) * \({1-p}^{n-k}\)

where (n choose k) represents the binomial coefficient, which can be calculated as:

(n choose k) = n! / (k! * (n-k)!)

where n! represents the factorial of n.

Using the above formula with k = 3, n = 8, and p = 0.78, we get:

P(3 successes) = (8 choose 3) * 0.78³ * (1-0.78)⁵

= 56 * 0.78³ * 0.22⁵

= 0.296

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Answer:

207

Step-by-step explanation:

Answer:

An x-coordinate is the first element in an ordered pair. When an ordered pair is graphed as the coordinates of a point in the coordinate plane, the x-coordinate represents the directed distance of the point from the y-axis. Another name for the x-coordinate is the abscissa.

Step-by-step explanation:

Answer:

Abscissa

Step-by-step explanation:

The X Coordinate is also called "Abscissa"

Answer:

Domain is [-5, 5]

Range is [-3, 17]

Step-by-step explanation:

R1 = {(x, y)| y = 2x + 7, where x∈ R and -5 ≤ x ≤ 5}

The domain is given by the all possible input values of x . Here the function is defined for -5 ≤ x ≤ 5, so the domain is [ - 5, 5].

The range is given by the output values  of he function.

When x = - 5

f (- 5) = 2 (-5 ) + 7 = - 3

When x = 5

f (5) = 2 (5) + 7 = 17

So, the range is [ -3 , 17].

The parametric function for your location on the Ferris wheel at any given time:
x(t) = 80 * sin(2π * (t/2))
y(t) = 80 * cos(2π * (t/2)) + 3

To create a parametric function that models your location on the Ferris wheel at a given time, we need to come up with equations that describe your horizontal and vertical positions as functions of time.

Let's start with the horizontal position. Since the Ferris wheel rotates counter-clockwise, we know that your position on the wheel will increase as time goes on. We can express this as:

x(t) = 80cos(2πt/120)

Here, t represents time in seconds, and the factor of 2π/120 ensures that the function completes one full cycle (i.e. one trip around the wheel) in 120 seconds, or 2 minutes. The cosine function gives us a smooth, periodic curve that oscillates between -80 and 80, corresponding to your position on either side of the wheel's center.

Next, let's consider your vertical position. We know that you start at a height of 3 feet above the ground, and as the wheel rotates, your height will vary sinusoidally over time. We can express this as:

y(t) = 80sin(2πt/120) + 3

Here, the sine function gives us a smooth, periodic curve that oscillates between 77 and 83 feet (i.e. the radius of the wheel plus or minus 3 feet).

So, putting it all together, our parametric function for your location on the Ferris wheel at a given time t is:

(r(t), θ(t)) = (80cos(2πt/120), 80sin(2πt/120) + 3)

Here, r(t) and θ(t) represent your radial distance from the center of the wheel and the angle you've rotated from the starting position, respectively. This parametric function describes a smooth, periodic curve that traces out your path on the Ferris wheel as it rotates counter-clockwise.

Given the information, we know the Ferris wheel has a radius of 80 feet, the bottom is 3 feet above the ground, it rotates counter-clockwise, and has a period of 2 minutes.

To create a parametric function, we need two equations, one for the x-coordinate (horizontal) and one for the y-coordinate (vertical). Let's denote the time variable as t, measured in minutes.

1. X-coordinate (horizontal position):
Since the Ferris wheel rotates counter-clockwise, we can use the following equation for the x-coordinate:
x(t) = 80 * sin(2π * (t/2))

2. Y-coordinate (vertical position):
To account for the bottom of the Ferris wheel being 3 feet above the ground, we need to add 3 to the vertical equation:
y(t) = 80 * cos(2π * (t/2)) + 3

Now, we have the parametric function for your location on the Ferris wheel at any given time:
x(t) = 80 * sin(2π * (t/2))
y(t) = 80 * cos(2π * (t/2)) + 3

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infinitely many solutions

Hi there !

3(y - 2) = 3y - 6

3y - 6 = 3y - 6 | + 6

3y = 3y

true ∀ y ∈ R

Good luck  !

Answer:

R

Step-by-step explanation:

Answer: 39 pages

Step-by-step explanation:

x = the amount of pages Tom read

\(2x+12=90\\2x=78\\\frac{2x}{2}=\frac{78}{2}\\x=39\)

If Sue read 90 pages, which is 12 more than twice the amount, subtract 12 from 90, then divide the result by 2, boom, you got your answer. Which should be 39

Answer:

Please provide more details.

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Answer:

it is 32

Step-by-step explanation:

Step-by-step explanation:

if c =-11:

-(-11)-3=11-3=8≥-5.5

so the right answer is -c-3≥-5.5

The negative sign indicates that the power is flowing in the negative x-direction.

To solve this problem, we can use the relationships between the electric field (E), magnetic field (H), and power density (P) in electromagnetic waves.

Given:

Incident H field phasor: H = ay8e30x (A/m)

Relative electrical permittivity of the dielectric medium: εr = 4

Boundary surface area radius: r = 60 cm = 0.6 m

We'll go through each part of the problem step by step:

a) Electric field phasor:

The relationship between the electric field and magnetic field in a plane wave is E = (1/η) x H, where η is the intrinsic impedance of the medium.

The intrinsic impedance of a dielectric medium is given by η = η0/√εr, where η0 is the impedance of free space (approximately 377 Ω).

Substituting the values, we have:

η = η0/√εr = 377/√4 = 188.5 Ω

Thus, the electric field phasor is:

E = (1/η) x H = (1/188.5) x (ay8e30x) = (ay4.22e-2x) V/m

b) Average incident power density vector:

The average power density (P) of an electromagnetic wave is given by P = (1/2)Re(E x H*), where H* denotes the complex conjugate of H.

Taking the real part, we have:

P = (1/2)Re(E x H*) = (1/2)Re[(ay4.22e-2x) x (ay8e30x)*]

= (1/2)Re[(-32.16ae28x)] = -16.08e28x W/m²

The negative sign indicates that the power is flowing in the negative x-direction.

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Answer:

The interest rate is 5.278%

Step-by-step explanation:

4298.55=1987.22(1+r/100)^15

r=5.278%

Answer:

13

Step-by-step explanation:

8 divided by .59 is 13.5

The correct option is the last one, multiply the second equation by −2 to get −4x − 12y = −48.

Here we have the system:

4x + y = 4

2x + 6y = 24

One way to eliminate one of the variables is:

Adding the first equation and -2times the second one, then we will get:

4x + y + -2*(2x + 6y) = 4 + -2*24

4x + y - 4x - 12y = -44

-11y = -44

And we removed variable x, so the correct option is the last one.

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(b+1)/2b

quotient = divided by

we're dividing a number that is 1 more than b (b + 1), with a number twice as large as b (2b).

the value of k that will make the function f(x) = \(kx^2 - x^3\) have a point of inflection at x = 1 is k = 3.

the answer is B. 3.

To find the value of k that will make the function f(x) = kx^2 - x^3 have a point of inflection at x = 1, we need to analyze the second derivative of the function.

First, let's find the second derivative of f(x):

f(x) = k\(x^2 - x^3\)

f'(x) = 2kx - 3\(x^2\)

f''(x) = 2k - 6x

To determine the point of inflection, we set f''(x) = 0 and solve for x:

2k - 6x = 0

2k = 6x

x = 2k/6

x = k/3

Since we want the point of inflection to occur at x = 1, we set k/3 = 1 and solve for k:

k/3 = 1

k = 3

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The function round(price, 0) is used to round a given number (in this case, the price) to a specified number of decimal places (in this case, 0). When you use round(24.95, 0), the function will round the price to the nearest whole number. In this scenario, 24.95 will be rounded up to 25, not 24.

Yes, that is correct. The function round(price,0) rounds the price to the nearest whole number. In this case, 24.95 is rounded down to 24. However, it's important to note that this function always rounds to the nearest whole number, so if the price was 24.5 it would also round down to 24, whereas if the price was 24.6 it would round up to 25. It's also worth mentioning that there are other rounding functions that can be used to round to different levels of precision, such as rounding to the nearest tenth or hundredth.

Overall, rounding is an important tool in many areas of math and statistics, as it allows us to simplify numbers and make calculations easier to work with.
 

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\(Answer:R:\{\ f(x)\in\mathbb R\ |\ f(x)\geq 5\}.\)

Step-by-step explanation:

\(x\in(-\infty:+\infty)\ \ \ \ \Leftrightarrow\ \ \ \ R:\{f(x)\in\mathbb R\ |\ \-\infty < f(x) < -\infty\}\\|x|\in[0;+\infty)\ \ \ \ \Leftrightarrow \ \ \ \ R:\{f(x)\in\mathbb R\ |\ f(x)\geq 0\}\\|x|+5\in[5;+\infty)\ \ \ \ \Leftrightarrow \ \ \ \ R:\{f(x)\in\mathbb R\ |\ f(x)\geq 5\}.\)

Answer:

The answer is -512

Step-by-step explanation

8*8*8= 512 and the cube root of 512 is 8 and the cube root answer is negative so 512 is negative