determine the critical value, z0 to test the claim the population proportion p>or= 0.132 given n=48 and p=0.110. Use a=0.05 A) -2.33 B) -2.575 C) -1.96 D) -1.645

Answer:

In mathematics education, precalculus or College algebra is a course, or a set of courses, that includes algebra and trigonometry at a level which is designed to prepare students for the study of calculus. Schools often distinguish between algebra and trigonometry as two separate parts of the coursework.

Step-by-step explanation:

Dude you can search this stuff up

The distance traveled is equal to sin^2(θ), as seen before.

To find the distance traveled by a particle with position (x, y) as t varies in the given time interval, we need to first find the parametric equations for x and y in terms of t, and then compute the arc length of the curve.

Given x = sin^2(t) and y = cos^2(t), we first find the derivatives of x and y with respect to t:
dx/dt = 2 * sin(t) * cos(t)
dy/dt = -2 * sin(t) * cos(t)

Next, we compute the square root of the sum of the squares of the derivatives:
sqrt((dx/dt)^2 + (dy/dt)^2) = sqrt((2 * sin(t) * cos(t))^2 + (-2 * sin(t) * cos(t))^2) = sqrt(4 * sin^2(t) * cos^2(t) + 4 * sin^2(t) * cos^2(t)) = 2 * sin(t) * cos(t)

Now, we can find the distance traveled by integrating the above expression with respect to t over the given time interval (0, θ):

Distance traveled = ∫(2 * sin(t) * cos(t) dt) from 0 to θ

Using the substitution u = sin(t), du = cos(t) dt, we get:

Distance traveled = ∫(2 * u du) from 0 to sin(θ)

Now, integrating with respect to u, we get:

Distance traveled = u^2 | from 0 to sin(θ) = (sin^2(θ)) - (0^2) = sin^2(θ)

The length of the curve can be computed as the arc length:

Length of the curve = ∫(2 * sin(t) * cos(t) dt) from 0 to θ

As we computed earlier, the distance traveled is equal to sin^2(θ). Therefore, the distance traveled by the particle is the same as the length of the curve.

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Answer:

t≤26

Step-by-step explanation:

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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Answer:

Subtract

3x+3x from 9x+9x

5x+4+5x3+2x2+6x

Answer:

I think the answer is 6.......

23 people can go in 2000 IQ

Answer:

K=5/9.

Step-by-step explanation:

Equation for direct proportional Function

is y=kx, where K is a constant of proportionality

so for y=5/9x,

K=5/9

The slope for plane A is 375, this means its rate of speed is 375 ml/h.

The slope for plane B is 445, this means the rate of speed for Plane B is 445 ml/h.

The slope of a linear equation = change in y / change in x.

A linear equation that is given as, y = mx + b or y = mx, has a slope that is represented as m.

Slope of Plane A:

Given the equation for Plane A as, y = 375x, the slope is, 375.

This means its rate of speed is: 375 ml/h.

Slope of Plane B:

Using two points, (1, 445) and (2, 890)

Slope for plane B = (890 - 445)/(2 - 1)

Slope for plane B = 445

This means the rate of speed for Plane B is: 445 ml/h.

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Answer:

Refer to the attached image.

Step-by-step explanation:

Answer:

18 bags of skittles

Step-by-step explanation:

19-7.25-0.5x=2.75

=> -0.5x=-9

=> x=18

Answer:

B. 3.5 feet

Step-by-step explanation:

The part leaning against the wall is the hypotenuse while the height of the ladder off the ground is the opposite and the distance of the ladder from the house is the adjacent side.

Given the following data;

Hypotenuse = 12.5 ft

Opposite = 12 ft

To find the adjacent side, we would use the Pythagorean theorem;

Hypotenuse² = opposite² + adjacent²

Substituting into the formula, we have;

12.5² = 12² + adjacent²

156.25 = 144 + adjacent²

Adjacent² = 156.25 - 144

Adjacent² = 12.25

Taking the square root of both sides, we have;

Adjacent = 3.5 feet.

Therefore, the distance of the ladder from the house is 3.5 feet.

Given expression: (\(4x^5y^2)^2\)  We can simplify this expression as follows:

\((4x^5y^2)^2 = 4^2(x^5)^2(y^2)^2= 16x^(5×2)y^(2×2)= 16x^10y^4\)

Thus, the given expression in standard form is 16x^10y^4. Let's understand each term of this expression and how we got this.Standard form of a polynomial

A polynomial is an expression that consists of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents.

A polynomial is generally expressed in standard form by arranging the terms in decreasing order of exponents.For instance, a polynomial of degree 3 can be written in the standard form as

\(ax^2 + bx^2+ cx + d.\)

The leading coefficient is a, which is the coefficient of the term containing the highest degree of x. If the leading coefficient is not 1, the polynomial is said to be in non-monic form.The given expression is \((4x^5y^2)^2\)

which is equal to 1

\(6x^10y^4.\)

As we have only one term, that's why it is already in standard form as we do not need to rearrange any terms. So, the answer is

\(16x^10y^4.\)

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Answer: Maximum area = 200m

Dimensions:

Length = 10m

Width = 20m

Such that there is only one side of 20m fenced because the other side of 20m is against the rock wall.

Step-by-step explanation:

We have the next problem.

Suppose that the vegetable area is a rectangle of length L and width W.

Such that the width side coincides with the rock wall, then we have that:

The perimeter is:

P = 2*L + 2*W

But because one of the width sides coincides with the wall, the amount of fence needed will be:

P = 2*L + W = 40m

And the area can be written as:

A = W*L

We want to find the maximum area that we can have.

First, write our two equations:

40m = 2*L + W

A = W*L

First we must isolate one of the variables in the first equation, and replace it into the second equation:

40m - 2*L = W.

then:

A = (40m - 2*L)*L = 40m*L - 2*L^2

We can write this as a quadratic equation:

A(L) = -2*L^2 + 40m*L

Now, notice that it has a leading coefficient negative, then the maximum of the area function will be at the vertex of the quadratic equation.

For a quadratic equation:

f(x) = a*x^2 + b*x + c

The vertex is at:

x = -b/2a

and the point is (-b/2a, f(-b/2a))

In this case we have:

b = 40m

a = -2

Then:

we must evaluate the area function in:

L = -40m/(-2*2) = 10m

A(L) = -2*L^2 + 40m*L

A(10m) = -2*100m^2 + 400m = 200m

Now we can find the width using one of the above equations:

W = 40m - 2*L = 40m - 2*10m = 20m

Then the dimensions that the farmer should use are:

Two sides of length 10m, and one side of length 20m

Answer:

Step-by-step explanation:

not sure 2

The rectangular pyramid rises 7 feet in height.

Pyramids are three-dimensional objects with triangle-shaped faces and an all-encompassing polygonal base. It is referred to as a rectangular pyramid if the base of the structure is rectangular. Although all pyramids have a rectangular foundation, they all have triangular edges.

How is the height of the rectangular pyramid determined?

First, we understand that a rectangular pyramid's volume is determined by:

                         \(V=B * H / 3\)

The height H is determined by the base B.

When we know the volume is 56 \(ft^{3}\) and the base is 24 \(ft^{2}\), we can then swap out those two numbers in the volume calculation to get:

                          \(56 f t^{3}=24 f t^{2} * H / 3\)

When we solve it for H, we get:

                          \(H=3 *\left(56 f t^{\circ} / 24 f t^{2}\right)=7 f t\)

The rectangular pyramid rises 7 feet in height.

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Maximum number of distinct majors/groups: 84 therefore, the 85th student must be the same as one of the 84 students.

Date of anticipated graduation: May 15, 2020, or Spring 2020 for graduation (expected). Instead of expected or anticipated, you can use the word pending if you're presently working to finish your final semester.

Employers may be able to see that you are actively pursuing your degree even though you haven't graduated by seeing your anticipated graduation date on your resume.

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Exact value of the definite integral is 320. Comparing the results: Exact value of the definite integral = 320, Trapezoidal Rule approximation (n = 4) = 340, Simpson's Rule approximation (n = 4) ≈ 246.6667.

What is trapezoid?

A trapezoid is a quadrilateral (a polygon with four sides) that has one pair of parallel sides. The parallel sides are called the bases of the trapezoid, while the non-parallel sides are called the legs.

To approximate the value of the definite integral ∫[0, 4] 5x * x^2 dx using the Trapezoidal Rule and Simpson's Rule, we need to specify the value of n, which represents the number of subintervals.

Let's calculate the approximations using n = 4 for both methods:

Trapezoidal Rule:

Using n = 4, we divide the interval [0, 4] into four subintervals of equal width: h = (4 - 0) / 4 = 1.

The approximated value using the Trapezoidal Rule is given by:

\(T_4 = (h/2) * [f(x_0) + 2f(x_1) + 2f(x_2) + 2f(x_3) + f(x_4)]\)

Plugging in the values:

\(T_4 = (1/2) * [f(0) + 2f(1) + 2f(2) + 2f(3) + f(4)]\\\\= (1/2) * [5(0)(0^2) + 2(5)(1)(1^2) + 2(5)(2)(2^2) + 2(5)(3)(3^2) + 5(4)(4^2)]\\\\= (1/2) * [0 + 10 + 80 + 270 + 320]\\\\= (1/2) * 680\\\\= 340\)

Simpson's Rule:

Using n = 4, we divide the interval [0, 4] into four subintervals of equal width: h = (4 - 0) / 4 = 1.

The approximated value using Simpson's Rule is given by:

\(S_4 = (h/3) * [f(x_0) + 4f(x_1) + 2f(x_2) + 4f(x_3) + f(x_4)]\)

Plugging in the values:

\(S_4 = (1/3) * [f(0) + 4f(1) + 2f(2) + 4f(3) + f(4)]\\\\= (1/3) * [5(0)(0^2) + 4(5)(1)(1^2) + 2(5)(2)(2^2) + 4(5)(3)(3^2) + 5(4)(4^2)]\\\\= (1/3) * [0 + 20 + 40 + 360 + 320]\\\\= (1/3) * 740\\\\= 246.6667\)

Exact value of the definite integral:

∫[0, 4] 5x * \(x^2\) dx = [(5/4) * \(x^4\)] evaluated from 0 to 4

\(= (5/4) * 4^4 - (5/4) * 0^4\\\\= (5/4) * 256 - (5/4) * 0\\\\= 320 - 0\\\\= 320\)

Comparing the results:

Exact value of the definite integral = 320

Trapezoidal Rule approximation (n = 4) = 340

Simpson's Rule approximation (n = 4) ≈ 246.6667

As we can see, the Trapezoidal Rule approximation is slightly greater than the exact value, while Simpson's Rule approximation is less than the exact value.

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When booking a show for a future date, it is normal practice for the booking agent to collect a 50% advance fee when the advances are not given for shows. This is to ensure that the performer is fully committed to performing at the event and to cover any expenses that may be incurred in the process.

The advance fee is usually non-refundable and is paid by the promoter or venue operator to the booking agent. This is to show their commitment to the performer and to demonstrate that they are serious about booking them for the event. The remaining balance is then usually paid on the day of the performance or shortly after.

The booking agent should also ensure that all parties involved in the booking are aware of the terms and conditions and have signed a contract or agreement to confirm their agreement.

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Answer:

(3,-9)

Step-by-step explanation:

Xm = (-3+9)/2 = 6/2 = 3

Ym = (-3+(-15)/2 = (-3-15)/2 = -18/2 = -9

The instantaneous acceleration at any time t is given by 10t. The limit definition of a derivative is true because it allows us to find the instantaneous rate of change of a function at a specific point.

To use the limit definition of a derivative to calculate instantaneous acceleration, we need to find the derivative of the velocity function with respect to time. The derivative of velocity gives us acceleration.

The limit definition of a derivative is given by:

f'(x) = lim (h→0) [f(x+h) - f(x)] / h

To calculate instantaneous acceleration, we substitute the velocity function, v(t), into the limit definition. Let's say v(t) = 5t^2.

Using the limit definition, we have:

a(t) = lim (h→0) [v(t+h) - v(t)] / h

Substituting v(t) = 5t^2, we get:

a(t) = lim (h→0) [5(t+h)^2 - 5t^2] / h

Expanding and simplifying:

a(t) = lim (h→0) [10th + 5h^2] / h

Now, we can cancel out the h term:

a(t) = lim (h→0) 10t + 5h

Taking the limit as h approaches 0, we get:

a(t) = 10t

Therefore, the instantaneous acceleration at any time t is given by 10t.

The limit definition of a derivative is true because it allows us to find the instantaneous rate of change of a function at a specific point. By taking the limit as the change in input approaches zero, we are able to approximate the exact rate of change at that point. This concept is fundamental to calculus and is used in various applications such as physics, engineering, and economics.

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The measure of angle WUT is 38 degrees, which is the correct answer.

Since Ray UW is the angle bisector of angle VUT, it divides it into two equal angles. Let's call the measure of angle WUT as "y". Then we know that:

∠ VUW = ∠ WUT = y (because Ray UW is the angle bisector)

Also, we know the measures of angle VUW and angle WUT in terms of x:

∠ VUW = 4x + 6

∠ WUT = 6x - 10

Since these angles are equal, we can set them equal to each other and solve for y:

4x + 6 = 6x - 10

16 = 2x

x = 8

Now we can substitute x=8 into the expressions for angle VUW and angle WUT to find their measures:

∠ VUW = 4(8) + 6 = 38

∠ WUT = 6(8) - 10 = 38

∴ ∠ WUT = 38°

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Complete Question

Ray UW is the angle bisector of ∠ VUT. three lines extend from point u. they are lines u v, u w, and u t. if m∠ VUW = (4x 6)° and m∠ WUT= (6x10)°, what is the measure of ∠ WUT? 32° 38° 48° 76°

Answer:

The length of the missing side is 7x-5

Step-by-step explanation:

Here, we want to get the value of the missing length

Mathematically, the perimeter of a triangle can be obtained by adding the lengths of its sides

So by subtracting the sum of the lengths of the two given sides from that of the perimeter, we get the length of the third side of the triangle

mathematically, we have this as;

13x-7 -(4x + 2 + 2x-4)

13x-7 - (4x + 2x + 2-4)

= 13x-7 - (6x -2)

= 13x -7 -6x + 2

= 13x-6x -7 + 2

= 7x -5

Step-by-step explanation:

this is just a simplified situation. normally people have more deductions from their salary than just taxes.

but anyway,

100% = $52,000

1% = 100%/100 = 52000/100 = $520

20% = 20×1% = 20 × 520 = $10,400

so, she pays $10,400 taxes.

and that leaves her from her salary

52000 - 10400 = $41,600

as net pay.

FYI - to calculate the remaining amount, we could have also done the following :

20% get deducted, so, 80% remain.

80% = 80×1% = 80 × 52000/100 = 52000 × 80/100 =

= 52000 × 0.80 = $41,600

Answer:

the city at a lower altitude would have a colder climate

Answer: A protractor The measure is 120

Explanation: Line up the vertex of the angle with the dot at the center of the protractor. Line up one side of the angle with 0 degrees on the protractor. Read the protractor to see where the other side of the angle crosses the number scale. (Hopes this helps!)