Sat scores (out of 2400) are distributed normally with a mean of 1500 and a standard deviation of 300. Suppose a school council awards a certificate of excellence to all students who score at least 1700 on the sat, and suppose we pick one of the recognized students at random. What is the probability this student's score will be at least 2000? (the material covered in section 2. 2 would be useful for this question. Round your answer to two decimal places. )

Answer:

option B

Step-by-step explanation:

\(\lim_{x\to \infty} f(x) = \lim_{x \to \infty} (log(x+2)-3 )\)

                    \(= \lim_{x \to \infty} ( log(x+2)) - \lim_{x \to \infty} 3\\\\=\infty - 3\\\\= \infty\)

\(\lim_{x \to 2} f(x) = \lim_{x \to 2} ( log(x+2)) - \lim_{x \to2} 3\\\\\)

                 \(= log( 2 + 2 ) - 3\\\\= log 4 - 3\\\\=log(2^2) -3\\\\=2 log 2 -3\)

\(\lim_{x \to -2} f(x) = \lim_{x \to -2} ( log(x+2)) - \lim_{x \to -2} 3\\\\\)  \(\lim_{x \to -2}_+ f(x) = \lim_{x \to -2_+} ( log(x+2)) - \lim_{x \to -2_+} 3 = -\infty\\\\\lim_{x \to -2_-} f(x) = \lim_{x \to -2}_- ( log(x+2)) - \lim_{x \to -2}_- 3 = -\infty\\\\\\\lim_{x \to -2} f(x) = - \infty\)

Answer:

4.32 francs

Step-by-step explanation:

45p × £/(100p) × 9.6 francs / £ = 4.32 francs

Answer:

Step-by-step explanation:

ISSA PARADE INSIDE MY CITY YEAHHHHH

9514 1404 393

Answer:

  D B C A

Step-by-step explanation:

The decimal equivalents are ...

  A 0.15 = 0.15

  B 1/10 = 0.10

  C 12% = 0.12

  D 1/20 = 0.05

Least-to-greatest, the order is D B C A.

This limitation on the distribution element of its marketing mix strategy supports the product’s competitive advantage.

The one which is not representing an example of a product's tangible feature is brand equity.

The limitation on the distribution element of the marketing mix strategy supports the product's competitive advantage.

By exclusively selling C-Ice at health food stores,

The company creates a selective distribution channel that positions the product as a specialized and premium offering.

This limited availability enhances the perception of exclusivity.

And uniqueness, potentially attracting health-conscious consumers who value natural and nutritional products.

Brand equity is not an example of a product's tangible feature.

Brand equity refers to the intangible value and perception associated with a brand,

Such as its reputation, customer loyalty, and brand recognition.

Tangible features, on the other hand, are physical characteristics of a product that can be observed or measured.

Examples of tangible features include packaging, color, weight, and size.

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The width of the message as shown in the image attached is 3 inches.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let b represent the width of the message. The area of the postcard is 24 square inches, hence:

(b + 3)4 = 24

4b + 12 = 24

b = 3

The width of the message as shown in the image attached is 3 inches.

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There ought to be infinitely many solutions.

How many solutions can a system of 3 linear equations with 5 variables have?

There are infinitely many solutions. Assuming the 3 linear equations are linearly independent you have 2 free variables that can be chosen freely and depending on those two values you can find the 3 remaining variables as function of those two so for any choice of those two variables you can find a solution. If the equations are not linearly independent you have effectively only 1 or two equations so you can pick 4 or 3 variables freely and then the remaining variable or variables are function of these.

How do you solve a system of equations with 3 variables?
Simultaneous equations. Easy, if they are all linear. Possibly difficult otherwise. Basically pick 1 variable and 1 equation to rearrange so that variable is expressed in terms if the other 2. Then simplify. Now you have 2 equations in 2 variables. Repeat with the remaining 2 variables. When you have solved for the last variable, you can then substitute to solve for the second last. Then backtrack to the original substitution and solve that. General advice that works even for nonlinear equations.

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The total number of defective iphones from a batch of 16,530 iphones is equal to 513 .

Total  number of iphones examined by quality-control inspector =290

Total number of iphones in a batch = 16,530

Number of iphones defective out of 290 = 9

Let us consider x be the number of defective iPhones in the batch of 16,530 iPhones.

Use proportions to find out how many defective iPhones there will be in a batch of 16,530 iPhones.

The proportion of defective iPhones in the sample of 290 iPhones is,

= 9/290

Proportion of defective iPhones in a batch of 16,530 iPhones,

Set up a proportion,

9/290 = x/16530

To solve for x, we can cross-multiply,

⇒ 9 x 16530 = 290 x

⇒ 148,770 = 290 x

⇒ x = 513

Therefore, there will be approximately 513 defective iPhones in a batch of 16,530 iPhones.

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Answer:

I think -6

Step-by-step explanation:

-12 +6 is -6 so -6 + -6 =-12

Answer:

1m

Step-by-step explanation:

That would be 1 m.

1 is the only whole number which divides exactly into 5, 8 and 12.

A 90% confidence interval for the proportion of adults who are worried about having enough money for retirement is (0.5031, 0.5396).

To construct a 90% confidence interval for the proportion of adults who are worried about having enough money for retirement, follow these steps:

1. Determine the sample proportion (p- hat):
p- hat = number of adults worried / total number surveyed
p- hat = 569 / 1094
p- hat ≈ 0.5199

2. Determine the confidence level (90%) and find the corresponding z-score using a z-table or calculator. For a 90% confidence interval, the z-score is approximately 1.645.

3. Calculate the standard error (SE):
SE = sqrt((p- hat * (1 - p- hat)) / n)
SE = sqrt((0.5199 * (1 - 0.5199)) / 1094)
SE ≈ 0.0156

4. Construct the confidence interval using the sample proportion, z-score, and standard error:
Lower limit: p- hat - (z-score * SE)
Lower limit: 0.5199 - (1.645 * 0.0156)
Lower limit ≈ 0.4938

Upper limit: p- hat + (z-score * SE)
Upper limit: 0.5199 + (1.645 * 0.0156)
Upper limit ≈ 0.5460

A 90% confidence interval for the proportion of adults who are worried about having enough money for retirement is (0.4938, 0.5460).

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Answer:

C

Step-by-step explanation:

4y-9+4y simplified by combining like terms is 8y-9

Answer:

C. 4y - 9 + 4y

Step-by-step explanation:

C. 4y - 9 + 4y

Collect like terms:

4y + 4y - 9

Combine like terms:

8y - 9

0.0764 is the probability that the scores differ by 5 or more points in either direction

The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

According to the information, the mean and standard deviation of "X" are:

μ(X) = 24

σ (X) = 2

We have to find the probability the scores differ by 5 or more points on either direction.

Consider X₁ and X₂ as the random variable, which showing the scores of Leon and Fred.

D = X₁ - X₂

According to the information the two scores are independent

The mean of μ(D) = 0

The standard deviation σ(D) = 2.828

Let's standardize D = -5

z = [x - μ(D)] /  σ(D)

z = - 1.77

Let's standardize D = 5

z = [x - μ(D)] /  σ(D)

z = 1.77

Using a table of typical normal probabilities as a guide:

= P (D ≤ -5) or P (D ≥ 5)

= P (z ≤ -1.77) + P (z ≥ 1.77)

= P (z ≥ 1.77) + P (z ≥ 1.77)

= 2P (z ≥ 1.77)
= 2(1 - P (z ≤ 1.77))

= 2 (1 - 0.9618)

= 0.0764

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Answer:

You sure you put it in the right format? When i did the equation, i got 0.000005.

Step-by-step explanation:

Answer:

This is what i get when I simplify it: 8000000x−1/1600000

this is what I get when I divide it: 5x−    1/1600000

and when I write in standard form:

5x−0.00000062

Step-by-step explanation:

Hamiltonian due to interaction of spin magnetic field:

H = -u.B

H = α/√2\(\left[\begin{array}{ccc}1&1\\1&-1\\\end{array}\right]\)

What is a matrix?

In mathematics, a matrix (multiple matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, and used to represent mathematical objects or properties of such objects. The

matrix represents a linear mapping without additional information and allows explicit computation in linear algebra. The study of matrices is therefore a large part of linear algebra, and most properties and operations in abstract linear algebra can be expressed in matrices. For example, matrix multiplication represents the construction of linear maps.

Not all matrices are related to linear algebra. This is especially true for graph theory, occurrence matrices, and adjacency matrices. This article focuses on matrices in the context of linear algebra. Unless otherwise stated, all matrices either represent linear maps or can be considered linear maps.

Square matrices (matrices with the same number of rows and columns) play an important role in matrix theory. Square matrices of a given dimension form non-commutative rings, one of the most common examples of non-commutative rings. The determinant of a square matrix is ​​the numerical value associated with the matrix that underlies the study of square matrices. For example, a square matrix has nonzero determinant and is invertible only if the eigenvalues ​​of the square matrix are the roots of the polynomial determinant.

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Answer: 648cm^3

Step-by-step explanation:

Volume=area of base * height

Area of base: 0.5*9*24=108

108*6=648cm^3

Answer:

B

Step-by-step explanation:

sum of the interior angles of a triangle is 180

180-(75+70+?)=35

The larger of the two expressions is maxvalue(r, n - k - r, k).

The expression with -1 as the second parameter to maxvalue is maxvalue(n-k-r, -1, k).

To see why this is the case, let's consider the definition of maxvalue(r, a, b). This function returns the maximum value among r, a, and b.

Now, suppose that k < n - r. Then, we have:

n - k - r > n - (n - r) - r = r

This means that n - k - r is greater than r, so maxvalue(r, n - k - r, k) will return either n - k - r or k, whichever is greater.

On the other hand, since -1 is less than any non-negative integer, we have:

-1 < 0 <= r

Therefore, maxvalue(r, -1, k) will return either r or k, whichever is greater.

Since r is non-negative, we have:

maxvalue(r, -1, k) = max(r, -1, k) = max(r, k)

So, the larger of the two expressions is maxvalue(r, n - k - r, k).

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The feasible solution is known as a locally optimal solution.

It may not be the best possible solution for the entire optimization problem.

If there are no other feasible solutions with a larger objective function value.

The immediate neighborhood, then the feasible solution is known as a locally optimal solution.

This means that the solution is optimal within a particular region of the feasible space but may not necessarily be the globally optimal solution. Bhe best possible solution over the entire feasible space.

In other words, a locally optimal solution is the best possible solution. Among all feasible solutions in its immediate neighborhood or region.

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There are 24 ways for the vote of the favorite, second favorite, and third favorite band to be cast.

The list contains 4 bands.

Out of these 1 band is Alonzo's favorite, 1 is his second favorite and another is his 3rd favorite

Now to choose his favorite Alonzo has 4 choices. Hence there are 4 ways to cast this vote.

Now since one band has been chosen, Alonzo is left with 3 bands on the list, hence he has 3 ways to cast the vote for the second favorite.

For the last vote of 3rd favorite, there are2 options available, hence this can be done in 2 ways.

Hence we get the total number of ways to be

4 X 3 X 2 ways

= 24 ways

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We assume that the population standard deviation are known, the samples from each population are independent, the population is normally distributed if we use t test of two samples.

Given T test of significance has been used.

T test is a statistical test that is like z test. Z test is used when n>30 and t test is used when n<30. It is used in hypothesis testing.

We know that there are many test which can be used to test a hypothesis.

The requirements to perform a two sample t procedure are as follows:

1)The two samples have equal variance. Hence the variance should be known.

2) The samples for which the two sample t procedure is performed must be independent.

3) The data are in alignment with the normal distribution probability.

4) The sample are random samples taken from different respective population.

Hence when two sample t procedure is performed we have to assume population standard deviation is known and population is normally distributed.

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Answer:

32 minutes

Step-by-step explanation:

Answer:

0.0208333...

Step-by-step explanation:

You would just divide 7 seconds by 3600 seconds (1 hr) and that would be ur answer so in this case it would be 0.0208333...

Answer:

1/48 or 0.02083 hours

Step-by-step explanation:

75s×1 min/60s×1 hour/60 mins so the seconds and minutes cancel out and you are left with 75/3600=1/48 hours

Answer:

The second one

The third one

Step-by-step explanation:

Answer:

the point is located at 7,0. the point is on the y-axis.

Step-by-step explanation:

Every pair of real numbers in B can be mapped to by f(x) for some pair (a,b) in A, which means the function is onto. As the function is one-to-one and onto, it is a bijection.

(a) The function f(x)=x-1 from A=B=Z is one-to-one, not onto and not a bijection.

The given function f(x) subtracts 1 from each element of the set A. Since each element of A has only one unique predecessor in A, the function is one-to-one. However, there exists no element in B that can be mapped to by f(x) for any negative integer in A, which means the function is not onto. As the function is not onto, it is not a bijection.

(b) The function f(x)=|x| from A=R and B={x:x∈R,x≥0} is not one-to-one, not onto, and not a bijection.

The absolute value function f(x) maps every element of A to a non-negative value in B. Since both positive and negative numbers in A are mapped to the same non-negative value in B, the function is not one-to-one. Additionally, there are no negative values in B that can be mapped to from A, which means the function is not onto. As the function is not one-to-one and not onto, it is not a bijection.

(c) The function f((a,b))=a from A=R×R and B=R is not one-to-one, onto, and not a bijection.

The function f((a,b))=a maps each element of A to its first component. Since different pairs in A can have the same first component, the function is not one-to-one. However, every real number in B can be mapped to by f(x) for some element (a,b) in A, which means the function is onto. As the function is not one-to-one and onto, it is not a bijection.

(d) The function f((a,b))=(a+b,a−b) from A=B=R×R is one-to-one, onto, and a bijection.

The function f((a,b))=(a+b,a−b) maps each element of A to a unique element in B. Since each pair (a,b) in A corresponds to a unique pair of values in B, the function is one-to-one. Additionally, every pair of real numbers in B can be mapped to by f(x) for some pair (a,b) in A, which means the function is onto. As the function is one-to-one and onto, it is a bijection.

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Using capital budgeting techniques, the project's NPV is approximately $1,335,172.66.

To calculate the NPV of the project, we need to discount the cash flows to their present value and then subtract the initial investment.

Step 1: Calculate the annual depreciation

The initial fixed asset investment of $3.9 million falls into Class 10 for tax purposes with a CCA rate of 30% per year. Therefore, the annual depreciation expense is:

Depreciation = 30% x $3.9 million = $1.17 million per year

Step 2: Calculate the annual cash flows

The annual cash flows are the difference between the annual sales and costs, minus the depreciation expense, and then taxed at the corporate tax rate of 35%.

Year 0:

Initial Investment = -$3.9 million

Year 1:

Cash Inflow = $2,650,000 - $840,000 - $1,170,000 = $640,000

Tax = $640,000 x 35% = $224,000

After-Tax Cash Flow = $640,000 - $224,000 = $416,000

Year 2:

Cash Inflow = $2,650,000 - $840,000 - $1,170,000 = $640,000

Tax = $640,000 x 35% = $224,000

After-Tax Cash Flow = $640,000 - $224,000 = $416,000

Year 3:

Cash Inflow = $2,650,000 - $840,000 - $1,170,000 = $640,000

Tax = $640,000 x 35% = $224,000

After-Tax Cash Flow = $640,000 - $224,000 = $416,000

Salvage Value = $3,900,000 - $1,170,000 = $2,730,000

Tax on Salvage Value = $0

After-Tax Salvage Value = $2,730,000

Step 3: Calculate the NPV

The NPV is the sum of the present values of the cash flows, discounted at the required rate of return of 12%.

NPV = - $3,900,000 + ($416,000 / 1.12) + ($416,000 / 1.12²) + ($3,146,000 / 1.12³)

NPV = $1,335,172.66

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Answer:

DSC

Step-by-step explanation: