Which of the following is not one of the Counting Rules. O a. The Range Rule O b. The Combination Rule O c. The Permutation Rule O d. Fundamental Counting Rule

Answer:1,grams 2,b 3, id k srry

Step-by-step explanation:

Answer:

theres your answer click on it for the full image hope this helps

The Z score that is equivalent to the raw score 92.5 is B. -1.25.

A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.

Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:

Z = (92.5 - 100) / 15

Z = -7.5 / 15

Z = -0.5

Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.

The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.

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Answer:

Where is this sequence that is shown below ?

The error made in subtracting the two rational expressions 1/(x - 2) - 1/x is that the common denominator is not correctly identified and applied.

To subtract rational expressions, we need to find a common denominator and then subtract the numerators. In this case, the common denominator should be (x - 2) * x. However, the error lies in neglecting the parentheses in the first expression, leading to a miscalculation of the common denominator.

The correct subtraction of the given expressions should be: (x - 2)/(x - 2) - 1/(x * (x - 2)). Simplifying this expression further would result in (x - 2 - 1)/(x * (x - 2)), which can be simplified as (x - 3)/(x * (x - 2)).

Therefore, the error made in the subtraction lies in incorrectly identifying and applying the common denominator, which resulted in an inaccurate calculation of the expression.

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Answer:

3333.4

Step-by-step explanation:

bc i said so

Answer:

ion lolz 7.4

Step-by-step explanation:

pj is a subspace of pk.

To show that pj is a subspace of pk, we need to show that it satisfies the three properties of a subspace:

1 Closure under addition: If f(x) and g(x) are polynomials in pj, then their sum f(x) + g(x) is also a polynomial in pj.

2 Closure under scalar multiplication: If f(x) is a polynomial in pj and c is a scalar, then cf(x) is also a polynomial in pj.

3 Contains the zero vector: The zero polynomial, which is a polynomial of degree less than or equal to k, is in pj.

To prove the closure under addition property, let f(x) and g(x) be polynomials in pj. Since f(x) and g(x) are polynomials of degree less than or equal to j, their sum f(x) + g(x) is also a polynomial of degree less than or equal to j. Thus, f(x) + g(x) is in pj.

To prove the closure under scalar multiplication property, let f(x) be a polynomial in pj and c be a scalar. Since f(x) is a polynomial of degree less than or equal to j, cf(x) is also a polynomial of degree less than or equal to j. Thus, cf(x) is in pj.

Finally, since the zero polynomial is a polynomial of degree less than or equal to k, it is also a polynomial of degree less than or equal to j. Therefore, the zero polynomial is in pj.

Since pj satisfies all three properties of a subspace, we can conclude that pj is a subspace of pk.

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Answer:

360

Step-by-step explanation:

Because since 6 inches represents 240 miles, and 9 minus 6 is 3, and 3 is half of 6, 3 inches represent 120 miles. 6 plus 3 is 9, so the answer is 360 miles.

240 + 120 = 360.

1. The percentage of CEOs who are 59 years or younger: 57.5% 2. The relative frequency for ages 65 to 69: 0.1096 3. The cumulative frequency for CEOs over 55 years in age: 51

To answer these questions, we need to calculate the total number of CEOs and perform some calculations based on the given data. Let's proceed step by step:

Step 1: Calculate the total number of CEOs.

The total number of CEOs is the sum of the frequencies for each age group:

Total CEOs = 4 + 3 + 15 + 20 + 21 + 8 + 2 = 73

Step 2: Calculate the percentage of CEOs who are 59 years or younger.

To determine the percentage, we need to find the cumulative frequency up to the age group of 59 years and divide it by the total number of CEOs:

Cumulative frequency for CEOs 59 years or younger = Frequency for age 40-44 + Frequency for age 45-49 + Frequency for age 50-54 + Frequency for age 55-59

= 4 + 3 + 15 + 20 = 42

Percentage of CEOs 59 years or younger = (Cumulative frequency for CEOs 59 years or younger / Total CEOs) * 100

= (42 / 73) * 100

≈ 57.53%

Rounded to the nearest tenth, the percentage of CEOs who are 59 years or younger is 57.5%.

Step 3: Calculate the relative frequency for ages 65 to 69.

To find the relative frequency, we need to divide the frequency for ages 65 to 69 by the total number of CEOs:

Relative frequency for ages 65 to 69 = Frequency for age 65-69 / Total CEOs

= 8 / 73

≈ 0.1096

Rounded to four decimal places, the relative frequency for ages 65 to 69 is approximately 0.1096.

Step 4: Calculate the cumulative frequency for CEOs over 55 years in age.

The cumulative frequency for CEOs over 55 years in age is the sum of the frequencies for the age groups 55-59, 60-64, 65-69, and 70-74:

Cumulative frequency for CEOs over 55 years = Frequency for age 55-59 + Frequency for age 60-64 + Frequency for age 65-69 + Frequency for age 70-74

= 20 + 21 + 8 + 2

= 51

The cumulative frequency for CEOs over 55 years in age is 51.

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The complete question is:

Forbes magazine published data on the best small firms in 2012. These were firms which had been publicly traded for at least a year, have a stock price of at least $5 per share, and have reported annual revenue between $5 million and $1 billion. The table below shows the ages of the chief executive officers for the first 73 ranked firms

Age:

40-44

45-49

50-54

55-59

60-64

65-69

70-74

Frequency:

4

3

15

20

21

8

2

1. What percentage of CEOs are 59 years or younger? Round your answer to the nearest tenth.

2. What is the relative frequency of ages 65 to 69? Round your answer to 4 decimal places.

3. What is the cumulative frequency for CEOs over 55 years in age? Round to a whole number. Do not include any decimals.

Answer:

15 marks

Step-by-step explanation:

If the average mark obtained by 3 students is 15, then the total marks are

⇒ 3 x 15 = 45

Let x be the marks obtained by the third student.

If two students obtained 12 and 18 marks, then

⇒ 12 + 18 + x = 45

⇒ 30 + x = 45

⇒ x = 45 - 30

⇒ x = 15

Solution:

We can clearly say that "mean" has been used.

In this case, we are given three numbers, 12, x, and 18.

The marks obtained by the third student is 15 marks.

Answer:

The correct option is;

Exactly 3 of the 12 soccer players practiced for at least 75 hours last week,

Step-by-step explanation:

The given information are;

The number of soccer players that practiced = 12 soccer players

The first quartile of the data of the recorded number of hours each soccer player practiced = 75

Therefore, given that that there are 12 soccer players, the number of data points = 12

The value of the 1st quartile is the value of the (n + 1)/4th term

When n = 12, we have;

The 12th quartile = (12 + 1)/4 = 3.25 th term with the values arranged in increasing order;

Therefore, the first quarter has the values for the first 3 players, with the lower practiced hour recorded while the recorded time for the remaining 9 players come after the first quartile;

The correct option is therefore that it must be true that exactly 3 (since we do not represent a player with the remaining fraction of 0.25 in 3.25) of the 12 soccer players practiced for at least 75 hours last week.

The slope of the line through the points is 45, which simply means that it would take one (1) minute to read 45 words.

Mathematically, the slope of a straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

From the information provided, we have the following points:

Substituting the given points into the formula, we have the following;

Slope, m = (225 - 135)/(5 - 3)

Slope, m = 90/2

Slope, m = 45

This ultimately implies that, 45 words would take one (1) minute to read.

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The fractions 2/7 and 5/7 sum to 1.

We have,

2/7, 4/7, 5/7, 7/7, 1/7, 2/7

To identify the fractions that sum to 1, we need to find a pair of fractions whose numerators (the numbers on top) add up to the same value as their denominators (the numbers on the bottom).

In this case, the fractions 2/7 and 5/7 meet this criterion.

When we add the numerators 2 and 5, we get 7.

Similarly, when we add the denominators 7 and 7, we also get 7.

So, 2/7 + 5/7 equals 7/7, which simplifies to 1.

Thus,

The fractions 2/7 and 5/7 sum to 1.

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The complete question:

Circle the two fractions that, when added together, sum to 1, from the following options:

a) 2/4, 5/7, 7/1, 2/7

b) 6/2, 3/6

c) 516/116, 215/5, 8/12, 12/12

The statement that best describes "willing suspension of disbelief" is: A dynamic in which the audience agrees to accept the fictional world of the play on an imaginative level while knowing it to be untrue.

The concept of "willing suspension of disbelief" is an essential element in experiencing and appreciating works of fiction, particularly in theater, literature, and film. It refers to the voluntary act of temporarily setting aside one's skepticism or disbelief in order to engage with the fictional narrative or performance. It involves consciously accepting the imaginative world presented by the creator, even though it may contain unrealistic or fantastical elements. By willingly suspending disbelief, the audience allows themselves to become emotionally invested in the story and characters, making the experience more enjoyable and meaningful. This dynamic acknowledges the inherent fictional nature of the work while acknowledging that the audience is aware of its fictional status. It creates a mutual understanding between the audience and the creators, enabling the audience to fully immerse themselves in the narrative and connect with the intended emotions and themes of the work.

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Answer:

x + y = 29

5x + 2y = 100

Step-by-step explanation:

Here, we want to set up equations

There are 29 problems, so adding up the number of individual problem types will give 29

x + y = 29 ••••••(i)

Let us work with points now;

x is worth 5 points, y is worth 2 points

Thus, mathematically;

5x + 2y = 100 ••••••••••(ii)

Answer: A. x + y = 29, 5x + 2y = 100 and the other one is B. 14 problems worth 5 points and 15 problems worth 2 points

Answer:

t greater than or equal to 9.25

And

t less than or equal to 10.75

Step-by-step explanation:

Inequality shows a relationship between two numbers or two expressions.

The inequality of the range of acceptable weights is 0.1 ≤ x ≤ 9.25

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

Example:

2 > 1

3x > 6, x values will be greater than 3.

We have,

The targeted weight of the bag = 10 pounds

The weight of each bag differs from 10 pounds at most by 0.75 pounds.

The acceptable weight of the bag can be:

0.1 pound to 9.25 pounds.

i.e,

10 - 9.25 = 0.75

Let x = acceptable weights

The inequality of the range of acceptable weights is 0.1 ≤ x ≤ 9.25

Thus,

The inequality of the range of acceptable weights is 0.1 ≤ x ≤ 9.25

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Answer:

6

Step-by-step explanation:

To calculate x+10, we first need to find x. To do this, we can use the first equation.

We are given the equation:

\(x^2-8x=48\)

To solve for x, turn one side of the equation into 0 and solve. Therefore:

\(x^2-8x=48\\x^2-8x-48=0\\(x-12)(x+4)=0\\x=-4, 12\)

So, the possible values for x are -4 and 12.

However, we are also told that x<0. In other words, x must be negative. Thus, we can remove 12. That leaves us with: x=-4.

So:

\(x+10\\(-4)+10\\=6\)

Answer:

B and E

Step-by-step explanation:

i took the test

Answer: The solution set is the interval (5, 14). & The ordered pair (32, 3) could be included in the table.

Step-by-step explanation:

The proportion of baby boys in the United States that are born with low birth weight is 0.0495

In a set with mean  u and standard deviation σ , the z score of a measure X is given by:

Z= X - u / σ

Z = 2.5- 3.41/ 0.55

Z= -1.6545

Z= -1.65 has a p value of 0.0495

The proportion of baby boys in the United States that are born with low birth weight is 0.0495.

the complete question is

In the United States, the mean birth weight for boys is 3.41 kg with a standard deviation of 0.55 kg. Assume that the distribution of birth weight is approximately normal. A baby is considered of low birth weight if it weighs less than 2.5 kg. What proportion of baby boys in the United States are born with low birth weight

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Using the formula for the surface area of a rectangular prism, the surface area of the composite solid is: C. 162m²

Surface area of a rectangular prism = 2(wl+hl+hw)

Surface area of the composite shape = surface area of the larger prism + surface area of the smaller prism - area of the face both prisms are joined together

Surface area of the larger prism = 2(wl+hl+hw) = 2(2×3 + 9×3 + 9×2) = 102 m²

Surface area of the smaller prism = 2(wl+hl+hw) = 2(2×8 + 2×8 + 2×2) = 72 m²

Area of the face both prisms are joined together = 2(l×w) = 2(3 × 2) = 6 m²

Surface area of the composite shape = (102 + 72) - 12 = 162m²

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Answer:

its c

Step-by-step explanation:

i took the test

Answer:

I think you forgot the context or image of that.

Answer:

nice ?

Step-by-step explanation:

The error sum of squares (SSE) is a measure of the variability or dispersion of the observed values around the regression line.

It is calculated by summing the squared differences between the observed values and the predicted values from the regression line. The formula for SSE is given by: SSE = Σ(yᵢ - ŷᵢ)². where yᵢ represents the observed values and ŷᵢ represents the predicted values from the regression line. In this case, the standard error of estimate (Se) is provided as 21, which is the square root of the mean squared error (MSE). Since the MSE is equal to SSE divided by the degrees of freedom (n - 2) for a simple regression problem, we can use this information to calculate SSE. Se² = MSE = SSE / (n - 2). Rearranging the equation: SSE = Se² * (n - 2). Substituting the given values: SSE = 21² * (12 - 2).SSE = 441 * 10. SSE = 4410. Therefore, the error sum of squares is 4410. Option a) is the correct answer.

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CBT (Computer-Based Training) or WBT (Web-Based Training) are highly recommended courses for individuals preparing for certification exams. These interactive and accessible courses provide a flexible learning experience tailored to the needs of exam candidates.

CBT and WBT courses offer numerous advantages for certification exam preparation. Firstly, they allow learners to study at their own pace and convenience, as the materials are available online and can be accessed from anywhere with an internet connection. These courses often include interactive elements such as quizzes, simulations, and practice exams, enabling candidates to assess their knowledge and track their progress. Additionally, CBT and WBT courses are often designed by experts in the field, ensuring the content is comprehensive and up-to-date.

By utilizing CBT or WBT courses, certification exam candidates can enhance their understanding of the exam topics, improve their retention of key information, and develop essential skills required for success. The interactive nature of these courses promotes active learning, engagement, and the opportunity to apply theoretical knowledge in practical scenarios. Ultimately, CBT and WBT courses empower individuals to approach certification exams with confidence and increase their chances of achieving positive outcomes.

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Answer:

V = 108

Step-by-step explanation:

B = 9 x 4 = 36 Height of Triangular prism is 3 so 36 x 3 = 108

The shape of the base of a right circular cylinder is circle.

What is right circular cylinder?

The definition of a right circular cylinder is a cylinder with a closed circular surface, two parallel bases on either end, and elements that are perpendicular to the base. Right cylinder is another name for it. The distance between each point on the closed circular surface of a right circular cylinder and the cylinder's axis, which is a straight line, is constant. The two circular bases of the right circular cylinder are parallel to one another and have the same radius. It is a certain geometric shape that is widely utilised in everyday life.

The diagram of a right circular cylinder is attached below and it can be observed that the base is circular in shape.

Hence, the shape of the base of a right circular cylinder is circle.

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Answer:

\(k=-3\)

Step-by-step explanation:

Since the line passes through the origin, it must be a proportional/direct variation equation.

Direct variation equations have the form:

\(y=ax\)

Where a is the constant of proportionality.

Let’s solve for a. We know that when x=5, y=40. So:

\(40=5a\)

Divide both sides by 5:

\(a=8\)

Therefore, our equation is:

\(y=8x\)

We want to find the value of k such that y=-24. So, subsitute -24 for y and k for x:

\(-24=8k\)

Divide both sides by 8:

\(k=-3\)

Hence, the value of k is -3.