Now assume the number of Skittles per bag is NORMALLY distributed with a population mean and standard deviation equal to the sample mean and standard deviation for the number of Skittles per bag in part I. a. What proportion of bags of Skittles contains between 55 and 58 candies? b. How many Skittles are in a bag that represents the 75th percentile? c. A Costco. box contains 42 bags of Skittles. What is the probability that a Costco. box has a mean number of candies per bag greater than 58? 5. Based on the class sample of candies, what proportion of Skittles candies are red? a. Twenty percent of Skittles are supposed to be red. Did the class data result in an unusual outcome? What does this imply about the claim that 20% of Skittles are red? 6. Create a 95% confidence interval estimate for the mean number of Skittles per bag. Why did you choose the method you used? Interpret your confidence interval. 7. Estimate the percent of red Skittles using the class sample data. Data Entry: Enter your data in the first row of the table on the next page. Then in Canvas, click the "Discussions" tab and go to the Skittles data discussion item. There you will be told how to post your data to the discussion. As other students start posting their data to the discussion, enter their data in the table on the next page. You may need to add a few rows depending on the enrollment of the class. Note: I would be happy to email anyone a word version of this project. Just make an email request.

The dynamic range for a 9-bit magnitude PCM code is 3072 dB.

The dynamic range for a 9-bit magnitude PCM code is the difference between the maximum and minimum representable amplitude levels, which is calculated using the formula:

Dynamic range = (2^n - 1) * 6dB

where n is the number of bits used to represent each sample in the PCM code.

For a 9-bit magnitude PCM code, n = 9, so the dynamic range is:

Dynamic range = (2^9 - 1) * 6dB = (512 - 1) * 6dB = 3072dB

So, a 9-bit magnitude PCM code has a dynamic range of 3072dB.

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Answer:

rate=55 percent

Step-by-step explanation:

SI=PRT

p=90

r=?

t=2

si=99

R=SI÷PT

R=99÷90×2

r=99÷180=0.55

r=0.55×100

R=55%

Answer:

7

Step-by-step explanation:

8-9-6

Answer:

Step-by-step explanation:

The equation of a linear function:

y = mx + b

m - slope

b - y-intercept

x = 3 - it's a vertical line. It's not equation of a linear function

y = 16 - it's a horizontal line. It's an equation of a linear function

where m = 0, b = 16

y = -3x + 10 - it's an equation of a linear function

where m = -3, b = 10

y = 3x² + 1 - it's a quadratic function ( x² ).

Answer:

y = 16 and y = -3x + 10

Step-by-step explanation:

hello

Answer:

2.5/5 acre's in 8/8 day's

Step-by-step explanation:

The probability for the particle to exist between x=0 and x=L/3, when the quantum number n=3, is 1/9.

In quantum mechanics, a particle in a one-dimensional box of length L can only occupy certain discrete energy levels determined by the quantum number n. The energy levels are given by the equation En = (\(n^2\) * \(h^2\))/(8m\(L^2\)), where h is Planck's constant and m is the mass of the particle.

Given that the quantum number n = 3, we can determine the energy associated with this level as E3 = (\(3^2\) * \(h^2\))/(8m\(L^2\)).

The probability of finding the particle between x=0 and x=L/3 corresponds to the portion of the total probability density function (PDF) within that range. The PDF for a particle in a box is given by P(x) = |ψ\((x)|^2\), where ψ(x) is the wave function.

For the ground state (n = 1), the wave function is a sin(xπ/L) and the corresponding PDF is proportional to \(sin^2\)(xπ/L). For n = 3, the wave function becomes sin(3xπ/L), and the corresponding PDF is proportional to\(sin^2\)(3xπ/L).

To find the probability, we integrate the PDF from x=0 to x=L/3, which is equivalent to calculating the area under the PDF curve within that range. In this case, the integral is ∫[0 to L/3] \(sin^2\)(3xπ/L) dx.

Evaluating this integral gives us a result of 1/9, indicating that there is a 1/9 probability of finding the particle between x=0 and x=L/3 when the quantum number n=3.

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The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer:

B.2x-5=x+25

Step-by-step explanation:

2x+15=35            x = 10

4/5x=8                x = 10

2x-5=x+25          x = 30

2x+7=27             x = 10

4/3x=x+10/3       x = 10

The area of the rectangle is 43.75 square centimeters, and we get that by using the area formula:

A = L*W

A rectangle is defined only by two dimensions, which are length and width if we define the variables:

L = length of the rectangle

W = width of the rectangle

Then the area of the rectangle is given by the formula:

A = L*W

Here we know that the dimensions of the rectangle are 12.5 cm and 3.5 cm, so we can define:

L = 12.5cm

W = 3.5cm

Replacing that in the formula for the area we get:

A = (12.5cm)*(3.5cm) = 43.75 cm^2

That is the area of the rectangle.

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Answer:

C

Step-by-step explanation:

C goes past -1 and almost reaches -2 so you know it will include some sort of fraction.

If you count the tick marks, C is on the 7th tick mark which is the one before -2. This represents 7/8 because 8/8 would be right on -2.

So, C shows -1 and 7/8

To see correlation on a graph you must look at the line. If the line is pointing upwards then its positive, if its siting straight at the 0 axis then it's no correlation, and if its pointing down then it is negative correlation.

Answer:

-2w-20

Step-by-step explanation:

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Answer: x = 6

Step-by-step explanation:

If Nasim invests money in an account paying a simple interest of 1. 3% per year and he invests $70 and no money will be added or removed from the investment, the amount he will have in one year is 70 dollars and 91 cents

Simple interest refers to the interest that is calculated on the original amount or the principal. Simple interest is calculated by:

Interest = P * r * t

where P is the principal

r is the rate of interest (in decimal)

t is the time

Given in the question,

P = $70

r = 1.3% = 0.013

t = 1 year

Interest = 70 * 0.013 * 1

= $0.91

Amount = P + i

where P is principal

i is interest

A = 70 + 0.91

A = $70.91

The amount that Nasim has after 1 year is $70.91.

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Answer:

n>37

Move all all terms not containing n to the side of the inequality.

Answer:

898/8×41=4602.5

Step-by-step explanation:

I HOPE THIS WILL HELP YOU KEEP WORK HARD FOR STUDIES

Given:

The inequality is

\(-2x+2>3x-8\)

To find:

The solution of the given inequality.

Solution:

We have,

\(-2x+2>3x-8\)

Isolate the variables terms on the left side.

\(-2x-3x>-2-8\)

\(-5x>-10\)

Divide both sides by -5 and change the inequality sign as we divide the equality by a negative value.

\(\dfrac{-5x}{-5}<\dfrac{-10}{-5}\)

\(x<2\)

Therefore, the correct option is D.

The trapezoidal rule is a numerical integration method that uses trapezoids to estimate the area under a curve. The trapezoidal rule can be used for both definite and indefinite integrals. The trapezoidal rule approximation, Tn, to the integral sin r dz is given by:

Tn = (b-a)/2n[f(a) + 2f(a+h) + 2f(a+2h) + ... + 2f(b-h) + f(b)]where h = (b-a)/n. To determine how large n should be so that Tn is accurate to within 0.00001, we can use the error bound given in Section 5.9 of the course text. According to the error bound, the error, E, in the trapezoidal rule approximation is given by:E ≤ ((b-a)³/12n²)max|f''(x)|where f''(x) is the second derivative of f(x). For the integral sin r dz, the second derivative is f''(r) = -sin r. Since the absolute value of sin r is less than or equal to 1, we have:max|f''(r)| = 1.

Substituting this value into the error bound equation gives:E ≤ ((b-a)³/12n²)So we want to choose n so that E ≤ 0.00001. Substituting E and the given values into the inequality gives:((b-a)³/12n²) ≤ 0.00001Simplifying this expression gives:n² ≥ ((b-a)³/(0.00001)(12))n² ≥ (b-a)³/0.00012n ≥ √(b-a)³/0.00012Now we just need to substitute the values of a and b into this expression. Since we don't know the upper limit of integration, we can use the fact that sin r is bounded by -1 and 1 to get an upper bound for the integral.

For example, we could use the interval [0, pi/2], which contains one full period of sin r. Then we have:a = 0b = pi/2Plugging in these values gives:n ≥ √(pi/2)³/0.00012n ≥ 5073.31Since n must be an integer, we round up to the nearest integer to get:n = 5074Therefore, we should choose n to be 5074 so that the trapezoidal rule approximation, Tn, to the integral sin r dz is accurate to within 0.00001.

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Answer:

y = 63 Degrees

bottom x = 117 Degrees

x = 63 Degrees

Step-by-step explanation:

I'm going off from what I think is right but It can very well be wrong.  Since it seems to be a supplementary angle, you take 180-117 to get the angles of y and since 117 and bottom x are vertical to each other, they should be the same Degree

The correct answer is C. Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has fewer solution variables than equations:

x_2 = 4

x_1 + x_2 = 6

To illustrate this, let's solve the system of equations:

From the first equation, we have x_2 = 4.

Substituting this value into the second equation, we get:

x_1 + 4 = 6

Simplifying, we find:

x_1 = 2

Therefore, the solution to the system of equations is x_1 = 2 and x_2 = 4. This ordered pair satisfies both equations, making the system consistent.

In this case, even though we have more equations (2 equations) than unknowns (2 unknowns), the equations are not contradictory or incompatible. The system has a unique solution, and it is consistent.

It is important to note that not all overdetermined systems are consistent. If the equations are contradictory or incompatible, the system will be inconsistent. Inconsistent overdetermined systems typically have more equations than unknowns and lead to contradictions.

In summary, an overdetermined system can be consistent if the equations allow for a solution that satisfies all the equations. The consistency of the system depends on the specific equations involved and their relationship to one another.

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Answer:

It should be 60 degrees

Step-by-step explanation:

No, Gary will not save enough money for his trip.

To determine if Gary will save enough money, we need to calculate the total amount he will save over 10 months. Gary saves $82 each month for 10 months, so his total savings would be 82 * 10 = $820. However, since he wants to have at least $72 for each of the 13 days of his trip, he needs a total of 72 * 13 = $936.

Comparing the required amount of $936 with his total savings of $820, we can see that Gary falls short of the amount needed for his trip. He will have $820, which is less than the required $936. Therefore, he will not save enough money to cover the expenses of his trip. Gary may need to find additional sources of income or adjust his saving strategy to ensure he has enough funds for his trip.

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Answer:

55

Step-by-step explanation:

First, we need to divide 44 by 8 to find what to times 10 by.

44/8= 5.5.

After, we need to times 10 by 5.5 to get the answer

5.5x10=55

Answer: She can plant 55 plants within 44 feet.

Step-by-step explanation:

First; We must divide 8 by 44 receiving the result 5.5

( 8 ÷ 44 = 5.5 )

Second; We must multiply 5.5 with 10, giving the final result of 55.

( 5.5 x 10 = 55 )

The probability of not getting result is found as 24.7%.

The number of times an event happened during the experiment as a percentage of all the times the experiment was run is known as the experimental probability of that event occurring.

So,

P(Result) = 0.753.

P(no result) = 1 - 0.753

P(no result) = 0.247

Thus, the probability of not getting that result is found as 24.7%.

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The correct question is-

If the probability of getting a result in an experiment is 75. 3%, what i the probability of not getting that result?

Answer:

-6

(3*2)-12

6-12

-6

Step-by-step explanation:

Answer:

\(f(2) = -6\)

Step-by-step explanation:

\(f(x) = 3x - 12\)

\(f(2) = 3(2) - 12\)

\(f(2) = 6 - 12\)

\(f(2) = -6\)

Answer:

4. the square root of 36 should also be an integer

\(\huge\text{Hey there!}}\)

\(\large\text{The law this is apart of the \boxed{\textsf{\bf distributive property}} because it multiplied}}\\\large\text{7 within the parentheses on the RIGHT SIDE of the 2}\rm{^{nd}}\large\text{ equation}\)

\(\huge\textsf{Equation \#1}\\\large\textsf{7(5 + 2)}\\\large\textsf{= 7(5) + 7(2)}\\\large\textsf{= 35 + 14}}\\\large\textsf{= 49}\\\\\huge\text{Equation \#2}\\\large\text{7}\times\large\text{5 + 7}\times\large\text{2}\\\large\text{= 35 + 14}}\\\large\text{= 49}\\\huge\boxed{\bullet \textsf{ Questions answer is: \underline{\underline{14}} because both equations}}\\\huge\boxed{\textsf{are equivalent to each other!}}\huge\checkmark\)

\(\huge\boxed{\bullet\text{ Overall answer: \bf \underline{\underline{Distributive Property}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& \textsf{enjoy your day!}}\)

~\(\frak{Amphitrite1040:)}\)

To calculate TW, substitute the coordinates (x, y, z) into T(x, y, z) = (x²+ yz, e^cyz). For Tˣw, substitute the coordinates (u, v) into Tˣw = u(x^2 + yz)dv. To calculate d(7ˣw), differentiate 7ˣw using exterior differentiation: d(7ˣw) = 7(du∧v + udv∧dv).

The map T: R³ → R²  is defined as T(x, y, z) = (x²   + yz, e^cyz), and the 2-form w is given as w = uvdv.

To calculate TW, we substitute the coordinates (x, y, z) into the map T and obtain T(x, y, z) = (x²   + yz, e^cyz).

Next, we calculate T³w by substituting the coordinates (u, v) into the 2-form w. Since w = uvdv, we have Tˣw = u(x²   + yz)dv.

To calculate d(7ˣw), we differentiate the 2-form 7ˣw. Since w = uvdv, we have d(7ˣw) = d(7uvdv). Using the properties of exterior differentiation, we obtain d(7ˣw) = 7d(uv)∧dv = 7(du∧v + udv∧dv).

It's important to note that we are not using the fact that d(ˣw) = ˣˣ(dw) in this calculation.

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