Please help! Correct answer only!

For a fundraiser, there is a raffle with 125 tickets. One ticket will win a $500 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?

$___

Answer: B,C,D,E

Step-by-step explanation:

B. A - 2 would be lower than one because 2 is bigger than A.

C. Negative B is a negative, obviously.

D. B has to be at least negative 2, and A is only about 1.5, so added together, these numbers will be negative.

E. Same thing as last time pretty much.

=> Convert feet into yards.

660 feet = 220 yards.

=> Convert feet into inches.

660 feet = 7920 inches.

Now, According to the question:

=> Convert feet into inches.

660 feet = 7920 inches

Formula: multiply the value in feet by the conversion factor '12'.

So, 660 feet = 660 × 12 = 7920 inches.

=> Convert feet into yards.

660 feet = 220 yards

Formula: divide the value in feet by 3 because 1 yard equals 3 feet.

So, 660 feet = 660/3

     660 feet = 220 yards.

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Solve for b:

y = 0x + b

6 = 0 + b

b = 6

The answer is y = 0x + 6

To estimate the proportion of all new cell phone batteries that fail to last through a claimed number of charges, a consumer group will use a random sample and construct a percent confidence interval based on the proportion of batteries that fail to last through the charges in the sample.

To construct a confidence interval to estimate the proportion of all such batteries that fail to last through charges, the following steps can be followed:

Determine the sample size:

The consumer group should select a random sample of cell phones with the new battery and use the phones through charges of the battery.

The sample size should be determined based on the desired level of precision and confidence level.

A larger sample size will provide a more precise estimate.

Calculate the sample proportion:

The consumer group should record the proportion of batteries that fail to last through charges in the sample.

Calculate the standard error:

The standard error can be calculated using the formula:

\(SE = \sqrt{(p_hat * (1 - p_hat) / n) }\)

where \(p_hat\) is the sample proportion and n is the sample size.

Calculate the margin of error:

The margin of error can be calculated using the formula:

ME = z * SE

where z is the critical value from the standard normal distribution corresponding to the desired confidence level.

For example, if the desired confidence level is 95%, then z = 1.96.

Calculate the confidence interval: The confidence interval can be calculated using the formula:

\(CI = (p_hat - ME, p_hat + ME)\)

This interval represents the range of values within which the true proportion of batteries that fail to last through charges is expected to fall with the desired level of confidence.

For example, suppose a random sample of 100 cell phones with the new battery is selected, and the proportion of batteries that fail to last through charges is found to be 0.10. If a 95% confidence level is desired, the standard error can be calculated as:

SE = \(\sqrt{(0.10 * 0.90 / 100)}\) = 0.03

The margin of error can be calculated as:

ME = 1.96 * 0.03 = 0.06

The 95% confidence interval can be calculated as:

CI = (0.10 - 0.06, 0.10 + 0.06) = (0.04, 0.16)

Therefore, we can say with 95% confidence that the proportion of all such batteries that fail to last through charges is expected to be between 0.04 and 0.16.

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The easiest way to find the volume of a cylinder is by using the formula V=πr^2h.

This formula is derived from the formula for the area of a circle, A=πr^2, and the formula for the volume of a prism, V=Ah. To calculate the volume of a cylinder, you will need the radius (r) and the height (h) of the cylinder. The radius is the distance from the center of the circle to the sides of the cylinder. The height is the distance from the top to the bottom of the cylinder.

To use the formula, simply plug in the radius and height of the cylinder into the formula. For example, if the radius of a cylinder is 6 cm and the height is 8 cm, the volume can be calculated by multiplying π (3.14) by 6^2 (36) by 8 (288). The volume of the cylinder is then 806.72 cm^3.

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Since, it is a regular pyramid with square base having side 9 in.

The perimter of base is,

The base area is,

The slant height is given as,

Therefore the lateral area is,

The surface area of regular pyramid is, the sum of lateral area and base area.

Hence the lateral area of regular pyramid is

Answer:

ok!

Step-by-step explanation:

1: Your allowed to cry, your allowed to scream but you NEVER give UP!

2: Don't give up because great things take time:)

3: Don't give up it's only a way of failure!

I have so much more but my fingers might hurt but remember please dont ever give up you can do it!

Hope this helps !

Step-by-step explanation:

there are 2 variables in one equation, and none of the variables can be eliminated through simplification.

-19x + 3y - 4 = 3

-19x + 3y = 7

so, there will be infinitely many solutions.

Two rays with the same endpoint would form an angle, where the common endpoint is the vertex of the angle.

A ray is a part of a line that has a fixed starting point, called the endpoint, and extends infinitely in one direction. Thus, a ray can be thought of as a half-line. If two rays have the same endpoint, they will form an angle. The common endpoint is the vertex of the angle, and the two rays extend outward from the vertex in opposite directions, forming a straight line on one side of the vertex. In mathematical notation, the angle formed by two rays with the same endpoint A can be denoted as ∠BAC, where B and C are the points where the rays extend outwards. Note that the order in which the rays are written matters; ∠BAC and ∠CAB represent different angles.

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Answer:

1 heart beat every 3 seconds

Step-by-step explanation:

60 seconds

20 heartbeats

60/20=3

So 1 every 3 second

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

49 square units

Step-by-step explanation:

\( \frac{1}{2} (7)(3 + 11) = \frac{1}{2} (7)(14) = 49\)

Answer:

49

Step-by-step explanation:

The shape shown in the image is a trapezoid.

The formula for calculating the area of trapezoid is as following:

\( \frac{a + b}{2} \times h\)

\( \frac{3 + 11}{2} \times 7 = 49\)

The area is put in square units so the answer is 49 units²

Answer:

24

Step-by-step explanation:

Let 'x' be the number

x +25% of x = 30

x + 0.25x = 30

1.25x = 30

x = 30/1.25

x = 24

(a) The vector projection p and x - p are orthogonal.

(b) The vector projection p and x - p are not orthogonal.

(c) The vector projection p and x - p are orthogonal.

(d) The vector projection p and x - p are not orthogonal.

To find the vector projection of vector x onto vector y, we use the formula:

p = (x · y) / ||y||² × y

where:

x · y is the dot product of vectors x and y

||y||² is the squared magnitude of vector y

p is the vector projection of x onto y

We will calculate the vector projection for each pair of vectors and verify the orthogonality between p and x - p.

(a) x = \((3, 4)^T\) and y = \((1, 0)^T\):

The dot product x · y = (3 × 1) + (4 × 0) = 3

The squared magnitude of y, ||y||² = (1²) + (0²) = 1

Therefore, the vector projection p of x onto y is:

p = (3 / 1) × (1, 0) = (3, 0)

Now, let's verify the orthogonality of p and x - p:

x - p = (3, 4) - (3, 0) = (0, 4)

The dot product of p and x - p is:

p · (x - p) = (3 × 0) + (0 × 4) = 0

Since the dot product is 0, p and x - p are orthogonal.

(b) x =\((3.5)^T\) and y = \((1, 1)^T\):

The dot product x · y = (3.5 × 1) + (3.5 × 1) = 7

The squared magnitude of y, ||y||² = (1²) + (1²) = 2

Therefore, the vector projection p of x onto y is:

p = (7 / 2)× (1, 1) = (7/2, 7/2)

Now, let's verify the orthogonality of p and x - p:

x - p = (3.5, 0) - (7/2, 7/2) = (-0.5, -7/2)

The dot product of p and x - p is:

p · (x - p) = (7/2 × -0.5) + (7/2 × -7/2) = -0.25 - 24.5 = -24.75

Since the dot product is not zero, p and x - p are not orthogonal.

(c) x = \((2, 3, 4)^T\) and y = \((1, 1, 1)^T\):

The dot product x · y = (2 × 1) + (3 × 1) + (4 × 1) = 9

The squared magnitude of y, ||y||² = (1²) + (1²) + (1²) = 3

Therefore, the vector projection p of x onto y is:

p = (9 / 3) × (1, 1, 1) = (3, 3, 3)

Now, let's verify the orthogonality of p and x - p:

x - p = (2, 3, 4) - (3, 3, 3) = (-1, 0, 1)

The dot product of p and x - p is:

p · (x - p) = (3 × -1) + (3 × 0) + (3 × 1) = 0

Since the dot product is 0, p and x - p are orthogonal.

(d) x = \((2, -5, 4)^T\) and y = \((1, 2, -1)^T\):

The dot product x · y = (2 × 1) + (-5 × 2) + (4 × -1) = -1

The squared magnitude of y, ||y||² = (1²) + (2²) + (-1²) = 6

Therefore, the vector projection p of x onto y is:

p = (-1 / 6) × (1, 2, -1) = (-1/6, -1/3, 1/6)

Now, let's verify the orthogonality of p and x - p:

x - p = (2, -5, 4) - (-1/6, -1/3, 1/6) = (13/6, -25/6, 23/6)

The dot product of p and x - p is:

p · (x - p) = (-1/6 × 13/6) + (-1/3 × -25/6) + (1/6 × 23/6) = -13/36 + 25/36 + 23/36 = 35/36

Since the dot product is not zero, p and x - p are not orthogonal.

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The question is -

For each of the following pairs of vectors x and y, find the vector projection p of x onto y, and verify that p and x − p are orthogonal.

(a) x = (3, 4)^T ard y = (1,0)^T.

(b) x = (3.5)^T, and y = (1,1)^T.

(c) x = (2,3,4)^T and y = (1,1,1)^T.

(d) x = (2,-5,4)^T and y = (1,2,-1)^T.

The region common to both the cylinder x^2 + y^2 = 4 and the ellipsoid 4x^2 + 4y^2 + z^2 = 64 is an ellipse centered at the origin in the xy-plane.

The given cylinder x^2 + y^2 = 4 represents a circular cross-section in the xy-plane with radius 2. The equation of the ellipsoid 4x^2 + 4y^2 + z^2 = 64 describes a three-dimensional surface centered at the origin, with its major axes along the x, y, and z directions. By intersecting the cylinder and the ellipsoid, we find the common region between them.

To determine the intersection, we substitute x^2 + y^2 = 4 into the equation of the ellipsoid. This gives us 4(4) + z^2 = 64, which simplifies to z^2 = 48 and z = ±√48. However, since we are looking for the region inside both surfaces, we take z = -√48.

Thus, the common region lies in the xy-plane (z = 0) and is given by the equation x^2 + y^2 = 4. This equation represents an ellipse centered at the origin, with its major axis along the x-axis and a radius of 2. Therefore, the region common to both the cylinder and the ellipsoid is an ellipse centered at the origin in the xy-plane.

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Adding 10 to every value in a data set will have no effect on the standard deviation.

When adding a constant value to each data point of a data set, the standard deviation will not change. The value of each data point and the value of the standard deviation will all shift by the same amount, leaving the relationship between the data points unchanged.

Thus, adding a constant number to each data point of a data set will result in the same standard deviation as before. For instance, let us assume a data set as {5, 7, 10, 12, 15} with a standard deviation of 3.74, if we add 10 to every value in the dataset then the new dataset will be {15, 17, 20, 22, 25} but the standard deviation of this new dataset will still be 3.74.

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Based on the provided information, Anita is experiencing job dissatisfaction and engaging in frequent daydreaming during her workday. This can be indicative of a phenomenon known as "workplace disengagement" or "disengagement syndrome."

Workplace disengagement refers to a state in which an individual feels disconnected, uninterested, or disinterested in their job. It often arises when employees perceive a lack of opportunities for growth or advancement, feel unfulfilled by their current role, or experience dissatisfaction with their work environment. Anita's lack of perception regarding other employment opportunities suggests a feeling of being trapped or limited in her current job. Consequently, she resorts to daydreaming as a means of escapism or a way to mentally detach from her dissatisfying work situation.

It is important for Anita to address her job dissatisfaction and explore potential solutions. This could involve seeking career counseling, networking to identify other job opportunities, or discussing her concerns with a supervisor or HR representative. Taking proactive steps to address the underlying issues can lead to a more fulfilling work experience.

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Answer:

56 units

Step-by-step explanation:

When working with perimeter in a triangle you have to add all the length of each of the sides.

Answer:

4, 4√3

Step-by-step explanation:

In a 30-60-90 triangle:

The leg opposite of the 30-degree angle is 1/2 of the hypotenuse: 8/2 = 4

The longer leg is √3 times the shorter leg: 4*√3 = 4√3

Check work: 4^2+(4√3)^2 = 8^2 --> 16+48 = 64 --> 64 = 64

Answer:

94

Step-by-step explanation:

first solve for x:

3x+22+3x+14= 180

6x+36= 180

6x= 144

x= 24

next fill the equation for angle 4 back in with x and solve:

3(24)+22= 94

The measure of DE from the expression is 14 units

The midpoint is defined as the line that divides a line into two equal parts.

According to the question, D is the midpoint of CE, this means that;

CD = DE

Given the following parameters

CE = 28

Since CD + DE = CE

2DE = CE

2DE = 28

DE = 14

Hence the measure of DE from the expression is 14 units

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The Fourier transform of x(t) can be expressed as: X(f) = 0.5 * [Rect(f - 2000) + Rect(f + 2000)] * 150.

To plot the Fourier transform of the function x(t) = 150 cos(2000πt) over the frequency range -3000 ≤ f ≤ 3000, we can utilize the properties of the Fourier transform and the given function.

The Fourier transform of x(t), denoted as X(f), can be calculated using the formula:

\(X(f) = ∫[x(t) * e^(-2πift)] dt\)

Since the given function x(t) is defined as 150 cos(2000πt) for -0.001 ≤ t ≤ 0.001 and zero elsewhere, we can express it as:

x(t) = 150 cos(2000πt) * rect(t/0.001)

Here, \(rect\)(t/0.001) is the rectangular function with a width of 0.001 centered around t = 0.

The Fourier transform of the rectangular function rect(t/0.001) is a sinc function:

Rect(f) = sinc(f * 0.001)

Now, to calculate the Fourier transform of x(t), we can apply the modulation property, which states that modulating a signal by a cosine function in the time domain corresponds to shifting the spectrum in the frequency domain.

Therefore, the Fourier transform of x(t) can be expressed as:

X(f) = 0.5 * [Rect(f - 2000) + Rect(f + 2000)] * 150

This is because cos(2000πt) in the time domain corresponds to a shift of ±2000 in the frequency domain.

To plot |X(f)| over the frequency range -3000 ≤ f ≤ 3000, we can graph the magnitude of X(f) using the expression above and the properties of the sinc function.

Please note that the specific plot cannot be generated without numerical values, but the general procedure for obtaining |X(f)| using the Fourier transform formula and the given function is described above.

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Answer:

5040

Step-by-step explanation:

There are 7 possibilities for the first spot, 6 for the second, etc.

7*6*5*4*3*2*1=5040

Answer:

Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated

Step-by-step explanation:

The unreasonable effectiveness of mathematics in the natural sciences is a well-known phenomenon that has been discussed by many scientists and philosophers. The idea is that mathematical concepts and models seem to be remarkably successful in describing and predicting the behavior of the natural world. This effectiveness is often seen as evidence of the power and universality of mathematics.

However, whether this effect gives any support to the hypothesis that our universe was designed is a matter of debate. Some argue that the precise mathematical relationships that govern the universe are evidence of a designer, while others suggest that the success of mathematics in describing the natural world is simply a result of the human mind's ability to perceive patterns and make predictions based on those patterns.

Ultimately, the question of whether the unreasonable effectiveness of mathematics supports the hypothesis of a designed universe is a philosophical and theological one, and there is no definitive answer. Some people may find the argument convincing, while others may not. It is up to each individual to weigh the evidence and come to their own conclusions.

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Answer:

6

Step-by-step explanation:

divide

Answer:

x + y = 30 and x - y = 6

Step-by-step explanation:

let the 2 numbers be x and y , x > y , then

x + y = 30 ← sum of the 2 numbers

x - y = 6 ← difference of the 2 numbers

Answer:

27°,63°

Step-by-step explanation:

Let the two angles be a and b.

They are complementary, meaning they add up to 90. Thus:

\(a+b=90\)

And we are told their difference is 36. Therefore:

\(a-b=36\)

Solve for the system of equations. Add b to both sides in the second equation:

\(a=b+36\)

Substitute this into the first:

\((b+36)+b=90\)

Combine like terms;

\(2b+36=90\)

Subtract 36:

\(2b=54\)

Divide by 2:

\(b=27\)

So, b is 27 degrees.

Use the second equation again:

\(a-b=36\)

Now that we know b is 27, substitute:

\(a-27=36\)

Add 27 to both sides:

\(a=63\)

So, a is 63 degrees.

And we're done :)

Answer:

27 and 63

Step-by-step explanation:

x - y = 36

x + y = 90

add the equations together

2x = 126

x = 63

substitute x for x in the first equation

63 - y = 36

y = 27

Answer:

m = 0.449

Step-by-step explanation:

Isolate the variable, m. Note the equal sign, what you do to one side, you do to the other. Remember to do the opposite of PEMDAS.

PEMDAS is the order of operation & =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 2.4 from both sides:

2.4 (-2.4) + 10m = 6.89 (-2.4)

10m = 6.89 - 2.4

10m = 4.49

Divide 10 from both sides:

(10m)/10 = (4.49)/10

m = 4.49/10

m = 0.449

0.449 is your answer for m.

~

Answer:

m = 0.449

Step-by-step explanation:

\(2.4+10m=6.89\\\\\mathrm{Subtract\:}2.4\mathrm{\:from\:both\:sides}\\2.4+10m-2.4=6.89-2.4\\\\Simplify\\10m=4.49\\\\\mathrm{Divide\:both\:sides\:by\:}10\\\frac{10m}{10}=\frac{4.49}{10}\\\\Simplify\\m=\frac{4.49}{10}\\\\\left(\mathrm{Decimal}:\quad m=0.449\right)\)