b.

if p deg and 70° are corresponding angles between two parallel li nes then p deg =***​

a) The data point 200 is 0.30 standard deviations below the mean of the data set.

b) The data point 224 is 0.30 standard deviations above the mean of the data set.

c) The data point 300 is 2.20 standard deviations above the mean of the data set.

d) The data point 100 is 2.80 standard deviations below the mean of the data set.

Now let's apply this formula to the given data set, which has a mean of x = 212 and a standard deviation of 40, and find the z-score for each of the following data points:

(a) x = 200

Using the formula, z = (x - μ) / σ, we get:

z = (200 - 212) / 40

z = -0.3

Rounding this z-score to the nearest hundredth, we get z = -0.30.

(b) x = 224

Using the same formula, we get:

z = (224 - 212) / 40

z = 0.3

Rounding this z-score to the nearest hundredth, we get z = 0.30.

(c) x = 300

Using the formula, we get:

z = (300 - 212) / 40

z = 2.2

Rounding this z-score to the nearest hundredth, we get z = 2.20.

(d) x = 100

Using the formula, we get:

z = (100 - 212) / 40

z = -2.8

Rounding this z-score to the nearest hundredth, we get z = -2.80.

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Answer:

Step-by-step explanation:

$6

Where m is a positive integer and a, b, c, and d are integers, the statement that true is option A and C.

Option A: (a + b) mod m is equal to (a mod m) + (b mod m)-True.

The statement is true, it follows the distributive property of modular arithmetic.

Option B: (a - b) mod m is equal to (a mod m) - (b mod m)-False.

The statement is false.

In modular arithmetic, subtraction is defined as follows:

a - b ≡ a + (m - b) mod m.

So, (a - b) mod m is equal to (a + (m - b)) mod m.

Option C: (ab) mod m is equal to [(a mod m)(b mod m)] mod m-True.

The statement is true, it follows the distributive property of modular arithmetic.

Option D: (a/b) mod m is equal to [(a mod m)/(b mod m)] mod m-False.

The statement is false. Modular division is not always defined.

Therefore, (a/b) mod m does not make sense, and we cannot compare it with [(a mod m)/(b mod m)] mod m.

The correct options are A and C.

Therefore, the answer is:

Option A: (a + b) mod m is equal to (a mod m) + (b mod m)

Option C: (ab) mod m is equal to [(a mod m)(b mod m)] mod m.

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The optimal solution to the LP relaxation can be either smaller or larger than the optimal IP solution, but it can also provide a lower bound on the optimal IP solution value, and in some cases, it may be very close to the optimal IP solution value.

If both decision variables must be integer, then we are dealing with an Integer Programming (IP) problem. However, we can relax this constraint and solve the Linear Programming (LP) relaxation of the problem. The LP relaxation is solved by allowing the decision variables to take on non-integer values, which often results in a lower objective function value.

In this case, the LP relaxation of the problem will minimize the objective function z = 2x1 + 3x2, but the optimal solution may not be an integer solution. The LP relaxation solution can be either smaller or larger than the optimal IP solution. Therefore, the correct answer is b: "can be either smaller or larger than the optimal IP solution."

However, we can use the LP relaxation solution as a lower bound on the optimal IP solution value. Specifically, we can say that the optimal IP solution value is at least as large as the LP relaxation solution value. In other words, the LP relaxation solution value provides a lower bound on the optimal IP solution value.

Moreover, in some cases, the LP relaxation solution may be very close to the optimal IP solution value. Specifically, the LP relaxation solution may be within 5% of the optimal IP solution value. Therefore, answer choice a: "will be within 5% of the optimal IP solution value" is also a possibility.

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The probability that a randomly chosen value from this normal population will be greater than 57 is approximately 0.0297, or 2.97%.

To find the probability that a randomly chosen value will be greater than 57 from a normal population with a mean (μ) of 40 and a standard deviation (σ) of 9, you will need to follow these steps:

1. Calculate the z-score:

The z-score represents the number of standard deviations a value is away from the mean.

To calculate the z-score, use the formula:

z = (X - μ) / σ, where X is the value in question (57 in this case).

2. In this case, z = (57 - 40) / 9 = 17 / 9 ≈ 1.89.

3. Look up the z-score in a standard normal distribution table (or use a calculator or software) to find the probability of obtaining a z-score less than 1.89.

The table value for a z-score of 1.89 is approximately 0.9703.

4. Since we want the probability that the value is greater than 57, we need to find the probability of obtaining a z-score greater than 1.89.

To do this, subtract the table value from 1:

1 - 0.9703 = 0.0297.

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a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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Answer: Credit cards

Step-by-step explanation:

(you can search it up as well)

Answer:

1. 0.05x90

2. 4.5

Step-by-step explanation:

1. 0.05(50+40)

50+40=90

0.05x90

2. 0.05(50)+0.05(40)

0.05x50= 2.5

0.05x40= 2

2.5+2= 4.5

That all i could do sorry but I hope this helps

Answer:

1. 0.05x90

Step-by-step explanation:

Answer:

It is C.

Step-by-step explanation:

First thing you would do is go through all the information and read the options then what you would do is see the labels and its will try to throw you off at A. saying that its Prizes instead of students that has won the prizes so there for

C. Six prizes were won by 4, 5, 6, or 7 students.

is your answer

The equation AB=BC for \(A=BCB^{-1}\).

The solution of AB = BC  for A, assuming that A,B and C are square matrices and B is invertible is

We have to solve the equation

AB = BC given that these all are square matrices and B is invertible.

Write the required Equation:

Multiply both sides by inverse of B

The multiplicative inverse of a matrix is the matrix that gives you the identity matrix when multiplied by the original matrix.

⇒\(ABB^{-1} =BCB^{-1}\)

⇒\(AI=BCB^{-1}\)

⇒\(A=BCB^{-1}\)

Therefore, the solution of AB = BC is \(A=BCB^{-1}\).

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Answer:

Step-by-step explanation:

f there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Similarly, the ratio of lemons to oranges is 6∶8 (or 3∶4) and the ratio of oranges to the total amount of fruit is 8∶14

===========================================

Explanation:

I'll use x in place of n

Let y = x^2 - 4x + 5

If we complete the square, then,

y = x^2 - 4x + 5

y = (x^2 - 4x) + 5

y = (x^2 - 4x + 4 - 4) + 5

y = (x^2 - 4x + 4) - 4 + 5

y = (x-2)^2 + 1

The quantity (x-2)^2 is never negative as squaring any real number value is never a negative result. Adding on 1 makes the result positive. So y > 0 regardless of whatever x is. Replace x with n, and this shows how n^2 - 4n + 5 is always positive for any integer n.

------------

You could also use the quadratic formula to find that x^2 - 4x + 5 = 0 has no real solutions, so there are no x intercepts. Either the graph is entirely above the x axis or it is entirely below the x axis.

Plug in any x value you want, say x = 0, and the result is positive. Meaning that whatever x value you plug in will be positive (as the graph can't cross the x axis to go into negative territory)

Answer:

no

Step-by-step explanation:

substitute the x- coordinate 5 into the equation and if the result is equal to the y- coordinate 0 then it is a solution

y = 5 + 5 = 10 ≠ 0

Then (5, 0 ) is not a solution to the equation

Answer:

14.29

Step-by-step explanation:

Let p be the price of the cd

we take the price of the cd plus the tax and it must be less than or equal to 15

the tax is the price of the cd times 5 %

p + p*.05 ≤15

Combine like terms

p*1.05 ≤15

Divide each side by 1.05

p ≤15/1.05

p  ≤14.28571429

Rounding to the nearest cent

p  ≤14.29

The maximum price is 14.29

Answer:

the answer will be

1.2x10⁴

hope it helps

Answer:

We have been provided the number, 3430000. Therefore, the standard form is, 3430000=3.43×106, here, we have moved 6 places to the left. Hence, the standard form of 3430000 is 3.43×106. Note: It is important to note that the standard form of representing numbers is also called scientific form or standard index form.

Answer:

zero property

Step-by-step explanation:

if it equals zero its zero property

The Stokes approximation and Oseen approximation are methods used to determine the motion of fluid particles in a fluid dynamics problem.

The Stokes approximation applies to slow-moving fluid particles, where viscous forces are dominant, while the Oseen approximation applies to higher velocities, where convective forces are dominant..Oseen approximation: In this approximation, the equations governing the motion of fluid particles account for the convective forces in addition to the viscous forces.

This approximation is valid at moderate Reynolds numbers and is used when the viscous forces are still strong but not as dominant as in the Stokes approximation. The velocity of the fluid decreases less rapidly than in the Stokes approximation, and the approximation is valid for Reynolds numbers greater than one .The difference between the results of the two approximations lies in their range of applicability and the accuracy of their results.

The significance of the difference between the two approximations lies in their application to real-world problems. In fluid dynamics, it is essential to have accurate approximations to predict the behavior of fluid particles accurately. Therefore, choosing the appropriate approximation for the specific problem is critical. knowing the range of applicability of each approximation can help in determining the parameters for the problem.

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The total amount earned from mowing lawns by George is $50

From the question, we have the following parameters that can be used in our computation:

Earnings percentage = 140%

Angel total earnings in mowing lawns = $70

The amount earned from mowing lawns by George is then calculated as

Angel total earnings in mowing lawns = Earnings percentage  x Total amount earned from mowing lawns by George

Substitute the known values in the above equation

So, we have

70 = 140% x Total amount earned from mowing lawns by George

Divide both sides by 140%

Total amount earned from mowing lawns by George = 50

Hence, the total amount is $50

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Answer:

3p +2c greater than 120. 120∠ 2c + 3p

Step-by-step explanation:

I think this is your answer but, i'm not so sure.

In hypothesis testing, the null hypothesis (H0) is a statement that there is no significant difference between two groups, or that a certain parameter is equal to a specified value. In this case, the null hypothesis is that the mean difference is 0, meaning there is no significant difference between the two groups being compared.

The alternative hypothesis (Ha), on the other hand, is a statement that contradicts the null hypothesis. It can be one-tailed (directional), indicating that the mean difference is greater than or less than 0, or two-tailed (non-directional), indicating that the mean difference is not equal to 0. So, to determine the null and alternative hypotheses in this case, we know that the null hypothesis is that the mean difference is 0. The alternative hypothesis can be either one of the following:
- Ha: The mean difference is not equal to 0 (two-tailed)
- Ha: The mean difference is greater than 0 (one-tailed)
- Ha: The mean difference is less than 0 (one-tailed)

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Answer:

area=length*width

32/width=length

The expression to find the side length of the fabric is,

⇒ Side length = √32

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The area of a square piece of fabric = 32 square feet

Now,

Since, We know that;

⇒ Area of square = Side²

Substitute the value of area of square piece of fabric in above equation, we get;

Side² = 32

Take square root both side, we get;

Side = √ 32

Thus, The expression to find the side length of the fabric is,

⇒ Side length = √32

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The solution is, 32 of  1/4 cup servings are in 8 cups of cashews.

let,

x of  1/4 cup servings are in 8 cups of cashews.

Divide 8 with 1/4

i.e.

(8)/(1/4)

now, we have,

Flip the second fraction, and change the division into multiplication, then solve

we get,

(8)/(1/4)

= 8 x 4

= 32

so, x = 32

32 is the answer

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Answer:

Let's work this out.

n - 3 / n + 3

n / n + 6

In order to avoid it cancelling out, we only cancelled out one side.

2n = 6

n = 3

The equation M + N = 0 implies that vectors M and N are additive inverses of each other, meaning that when added together, they cancel each other out and result in the zero vector. This also means that they have the same magnitude, but point in opposite directions.

Therefore, statement C is true, while A, B, and D are not. Statement A cannot be true because vectors at right angles to each other have a dot product of zero, but the given equation implies that their dot product is -1 (since M and N are additive inverses).

Statement B cannot be true because vectors pointing in the same direction have the same direction, but the given equation implies that they have opposite directions. Finally, statement D cannot be true because the magnitudes of both vectors are the same (as per the given equation) and cannot be negative.

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\(\text{We have exprassion 3.25c+5.75p where c - cakes, p - pies. We know that baker}\\\text{sold 10 cakes and 15 pies. It means that c=10 and p=15. Now we just put}\\\text{it into expression}\\3.25\times10+5.75\times15=32.5+86,25=89.75\\\text{89.75 is near to 90 so we can round up it}\\89.75\approx90\\\text{Answer: C) \$90}\)

Answer: 4x - 1

Step-by-step explanation:

Answer:

4x-2

Step-by-step explanation:

i did it