What is the equation of the line in standard form which
has slope - 4/5and y - intercept -3?

Approximately 2.28% of people are less assertive than Frank.

To find the percentage of people who are less assertive than Frank, we need to calculate the cumulative probability up to Frank's score using the normal distribution.

First, we need to standardize Frank's score using the formula:

z = (x - μ) / σ

where:
- x is Frank's score (30),
- μ is the mean of the distribution (20), and
- σ is the standard deviation (5).

Substituting the values into the formula:

z = (30 - 20) / 5
z = 10 / 5
z = 2

Now, we need to find the cumulative probability for a z-score of 2. We can look up this value in a standard normal distribution table or use a calculator. The cumulative probability for a z-score of 2 is approximately 0.9772.

To find the percentage of people who are less assertive than Frank, we subtract the cumulative probability from 1 and multiply by 100:

Percentage = (1 - 0.9772) * 100
Percentage ≈ 2.28%

Therefore, approximately 2.28% of people are less assertive than Frank.

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The answer that would best tell the combination of shapes that could make a piano are: 3 cylinders and a rectangular prism

The shape of a piano can be gotten from the way that the piano is built. A piano is known to have a shape that is like a chord, it also has the parts that is built like a rectangular prism.

In order to get the volume of the object, the different shapes that it has would be calculated individually using their formula.

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Answer:

Step-by-step explanation:

Therefore the required probability as a total number of the expected draw of blue tiles will be 16.

Probability = the number of possible paths to success / The total number of outcomes. That is a chance of getting an event

The formula for calculating an event's probability is the ratio of favorable outcomes to the total number of outcomes. Probabilities are always between 0 and 1. Probability = Number of Favorable Outcomes / Total Number of Outcomes is the general probability formula.

Given:

Number of red tiles = 14

Number of blue tiles = 20

Number of green tiles = 16

total number of tiles = 14+20+16=50

P(blue) = number of blue tiles / total number of tiles

            = 20/50

             =2/5

40 times the procedure is repeated

so, answer=(2/5)*40 = 16

Therefore the required probability as a total number of the expected draw of blue tiles will be 16.

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The 90% confidence interval for the population mean amount spent on lunch by college students is approximately $9.02 to $11.58.

To find the 90% confidence interval for the population mean amount spent on lunch by college students, we can use the formula:

Confidence Interval = sample mean ± (critical value * standard deviation / square root of sample size)

In this case, the sample mean is $10.30, the standard deviation is $2.21, and the sample size is 10.

Step 1: Find the critical value for a 90% confidence level.
Since the sample size is small (n < 30), we need to use a t-distribution instead of a z-distribution. The degrees of freedom for a sample size of 10 is 10 - 1 = 9. By looking up the critical value in the t-distribution table with 9 degrees of freedom and a confidence level of 90%, we find the critical value to be approximately 1.833.

Step 2: Calculate the standard error.
The standard error is the standard deviation divided by the square root of the sample size.
Standard Error = $2.21 / √10 ≈ $0.699

Step 3: Calculate the margin of error.
The margin of error is the critical value multiplied by the standard error.
Margin of Error = 1.833 * $0.699 ≈ $1.28

Step 4: Calculate the confidence interval.
The confidence interval is the sample mean plus or minus the margin of error.
Confidence Interval = $10.30 ± $1.28

Putting it all together, the 90% confidence interval for the population mean amount spent on lunch by college students is approximately $9.02 to $11.58.

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a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

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Answer:

Step-by-step explanation:

perimeter of first square = 4 × side = 60 m

∴ side = 60/4 = 15 m

so area = s × s = 15 × 15 = 225 m^2

perimeter of second square = 4 × side = 144 m

∴ side = 144/4 = 36 m

so area = s × s = 36 × 36 = 1296 m^2

Perimeter of the third square = sum of areas of the first and second triangle

= 225 + 1296

= 1521 m

hope this helps

plz mark as brainliest!!!!!

Answer:

Perimeter of new square =  156 m

Step-by-step explanation:

First square:

 Perimeter = 60 m

 4 * side = 60 m

side = 60/4

side = 15 m

Area of first square = side * side = 15 * 15 = 225 m²

Second square:

 Perimeter = 144 m

 4 * side = 144 m

side = 144/4

side = 36 m

Area of second square = side * side = 36 * 36 = 1296 m²

New square:

Area of new square = area of first square + area of second square

                                  = 225 + 129

Area of new square = 1521 m²

   side * side = 1521

    side = √1521 = √39*39

     side = 39 m

Perimeter of new square = 4 * 39 = 156 m

The equation of a line that includes the point (5,10) and has a slope of 2 in slope- intercept form is given by y=2x.

As given in the question,

The equation of a line that includes the point (x₁, y₁)=(5,10) and has a slope 'm' of a line is equal to 2  in slope-intercept form is given by

(y - y₁)/( x - x₁ )=m

⇒( y-10 )/(x -5)=2

⇒(y-10 )=2 (x -5)

⇒(y -10)=2x -10

⇒y=2x - 10 +10

⇒y=2x

Therefore, the equation of a line that includes the point (5,10) and has a slope of 2 in slope-intercept form is given by y=2x.

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Answer:

450,000 pounds

Step-by-step explanation:

to round off to the nearest hundred thousand, look at thousand figure - If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

to be rounded off to 500,000, it means that the thousand figure has to be between 50,000 - 99,000

the least figure would thus be 450,000

The probability that a randomly selecting a college student at Washington who either a male or a female is 33.3%

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event might occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Classical: (equally probable outcomes) (equally probable outcomes) Let S be the sample space (the collection of all unique outcomes that might occur).

Subjective Probability. Definition of Relative Frequency.

Considering there are males, females and other genders

The probability that a randomly selecting a college student at Washington who either a male or a female is 33.3%

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Answer:

a) m || n

b) p || q, and m must be perpendicular to both p and q.

c) p || q

d) p || q

e) m || n and p || q

Yes, the mysteries equal 0.06 of the total books.

Marcella said that the mysteries equal 0.06 of the total books.

To check the mysteries equal 0.06 of the total books is correct or not.

We can follow these steps:

1. Identify the total number of books and the number of mysteries: Marcella read 100 books, and 60 of them were mysteries.

2. Calculate the fraction of mysteries: Divide the number of mysteries (60) by the total number of books (100) to find the fraction of mysteries.

3. Compare the fraction with Marcella's claim: If the calculated fraction equals 0.06, then she is correct.

Now let's perform the calculations:

60 mysteries ÷ 100 total books = 0.6

Since 0.6 ≠ 0.06, Marcella's claim that the mysteries equal 0.06 of the total books is incorrect. In reality, mysteries make up 0.6 or 60% of the total books she read.

A model to support this answer could be a pie chart, where the circle represents the 100 books, and the mysteries portion is shaded in. By dividing the circle into 10 equal sections, the mysteries would fill 6 of those sections, which represents 60% of the total books.

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Answer:

I graphed it for you in the image below.

Step-by-step explanation:

Graph the logarithmic function f(x) = log2(x - 1) + 2 is attached below.

The function is referred to as a particular kind of relationship, every value in the domain is associated with exactly one value in the range. They have a set perimeter and territory.

It is given that the logarithmic function is, f(x) = log2(x - 1) + 2.

The first step in graphing a logarithmic function is to locate some points on the exponential f. (x). The graph will look better as we plot more points, and we can flip the x and y values to get points on the opposite axis. locate the asymptote. The following logarithmic functions can be graphed. Specify the domain and the range.

Thus, the graph is attached below.

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a) This is a valid recursive definition of a function f from the set of nonnegative integers to the set of integers. The formula for f(n) is f(n) = f(n-1) for n ≥ 1. To prove that this formula is valid, we can use mathematical induction.

Base case: f(0) = 1, which is true.

Inductive step: Assume that f(k) = f(k-1) for some k ≥ 1. Then f(k+1) = f(k) = f(k-1) = f(k+1-1), which is true.

Therefore, the formula is valid.

b) This is a valid recursive definition of a function f from the set of nonnegative integers to the set of integers. The formula for f(n) is f(n) = 2f(n-3) for n ≥ 3. To prove that this formula is valid, we can use mathematical induction.

Base case: f(0) = 1, f(1) = 0, f(2) = 2, which are all true.

Inductive step: Assume that f(k) = 2f(k-3) for some k ≥ 3. Then f(k+1) = 2f(k+1-3) = 2f(k-2) = 2(2f(k-3)) = 2f(k), which is true.

Therefore, the formula is valid.

c) This is not a valid recursive definition of a function f from the set of nonnegative integers to the set of integers because the recursive step does not define f(n) for all n ≥ 0.

d) This is a valid recursive definition of a function f from the set of nonnegative integers to the set of integers. The formula for f(n) is f(n) = 2f(n-1) for n ≥ 1. To prove that this formula is valid, we can use mathematical induction.

Base case: f(0) = 0, f(1) = 1, which are both true.

Inductive step: Assume that f(k) = 2f(k-1) for some k ≥ 1. Then f(k+1) = 2f(k+1-1) = 2f(k) = 2(2f(k-1)) = 2f(k+1-1), which is true.

Therefore, the formula is valid.

e) This is a valid recursive definition of a function f from the set of nonnegative integers to the set of integers. The formula for f(n) is f(n) = f(n-1) if n is odd and n ≥1 and f(n) = 2f(n-2) if n≥ 2. To prove that this formula is valid, we can use mathematical induction.

Base case: f(0) = 2, which is true.

Inductive step: Assume that f(k) = f(k-1) if k is odd and k ≥ 1 and f(k) = 2f(k-2) if k ≥ 2.

If k is odd, then f(k+1) = f(k) = f(k-1) = f(k+1-1), which is true.

If k is even, then f(k+1) = 2f(k+1-2) = 2f(k) = 2(2f(k-2)) = 2f(k+1-2), which is true.

Therefore, the formula is valid.

a) The formula for f(n) is (-1)ⁿ and b) The formula for f(n) is f(n) = 2k.

a) The proposed definition of function f is a valid recursive definition as it defines f(0) as 1 and then uses the previous value of f(n-1) to determine the value of f(n) for all n greater than or equal to 1. To find the formula for f(n), we can use induction. We can see that f(1) = -f(0) = -1, f(2) = -f(1) = 1, f(3) = -f(2) = -1, and so on. Thus, we can see that f(n) alternates between 1 and -1, depending on whether n is odd or even. Therefore, the formula for f(n) is (-1)ⁿ.

b) The proposed definition of function f is also a valid recursive definition as it defines f(0), f(1), and f(2), and then uses the previous value of f(n-3) to determine the value of f(n) for all n greater than or equal to 3. To find the formula for f(n), we can again use induction. We can see that f(3) = 2f(0) = 2, f(4) = 2f(1) = 0, f(5) = 2f(2) = 4, f(6) = 2f(3) = 4, f(7) = 2f(4) = 0, and so on.

Thus, we can see that f(n) alternates between 0 and 2, depending on whether n is congruent to 1 or 2 mod 3. Therefore, the formula for f(n) is f(n) = 2k, where k is the number of times n-3 can be divided by 3 before reaching a number less than or equal to 2. This formula is valid as it agrees with our observations and satisfies the recursive definition.

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Answer:

subtract 2y

Step-by-step explanation:

x= 5-2y or x= -2y+5

The correct answer for the equation is  \(h = -2cos(\pi t) + 5\) . The correct option is (1)

Given:

\(h= -2sin(\pi\tfrac{t}{2} )\)

Examine the answer choices:

\(h = -2cos(\pi t) + 5\)

Amplitude: |-2| = 2 (same as the given equation)

Frequency: π (same as the given equation)

Phase Shift: None (different from the given equation)

\(h = -2cos(\pi (t/2)) + 5\)

Amplitude: |-2| = 2 (same as the given equation)

Frequency: π/2 (different from the given equation)

Phase Shift: None (different from the given equation)

\(h = 2cos(\pi t) + 5\)

Amplitude: |2| = 2 (different from the given equation)

Frequency: π (same as the given equation)

Phase Shift: None (different from the given equation)

\(h = 2cos(\pi(t/2)) + 5\)

Amplitude: |2| = 2 (different from the given equation)

Frequency: π/2 (different from the given equation)

Phase Shift: None (different from the given equation)

The correct equation is \(h = -2cos(\pi t) + 5\)  .The correct option is (1).

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The correct statement regarding David's claim is given as follows:

David’s claim is incorrect because the interquartile range for his scores is greater than the interquartile range for Elise’s scores.

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

The interquartile range is a metric of consistency, and the lower the interquartile range, the more consistent the data-set is.

The interquartile range for David is greater than for Elise, hence his claim is incorrect.

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Answer:

5w^22

Step-by-step explanation:

The composite of functions f(x) and g(x) is given by:

\((f \circ g)(x) = -60x + 383\)

\((f \circ g)(x) = f(g(x))\)

In this problem, the functions are:

\(f(x) = 30x - 7\)

\(g(x) = 13 - 2x\)

Hence, the composite function is:

\((f \circ g)(x) = f(g(x)) = f(13 - 2x) = 30(13 - 2x) - 7 = -60x + 383\)

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The false statement is: "The researchers would come to the conclusion that the programme was successful if they used a significance level of 1%."

What is significance level?

A significance level, denoted by α, is the threshold chosen by researchers to determine the level of evidence required to reject the null hypothesis. It represents the maximum acceptable probability of making a Type I error (incorrectly rejecting the null hypothesis when it is true).

In this case, the given p-value is 0.003. If the null hypothesis is true, the p-value represents the likelihood of obtaining a test statistic that is equally extreme to or more extreme than the one that was observed. It offers proof that the null hypothesis is false.

We can conclude that there is strong evidence to reject the null hypothesis in favour of the alternative hypothesis because the p-value is 0.003, which is lower than any often used significance level like 0.05 or 0.01. Thus, if the researchers apply a 5% level of significance, they would draw the conclusion that the programme was successful.

However, if the researchers use a significance level of 1%, they would require even stronger evidence to reject the null hypothesis. Since the p-value of 0.003 is greater than 0.01, they would not be able to reject the null hypothesis at the 1% significance level and would not conclude that the program was effective.

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Answer:

the anwser is 13.75

Step-by-step explanation:

If you divide 33.00 by 2.4 you will get your anwser

Answer:

a(11) = 4^10 = 1048576

Step-by-step explanation:

The first term of this geometric sequence, a(1), is 1, and the common ratio, r, is 4.  Each new term is 4 times the previous term.  Thus,

a(n) = 1*4^(n - 1), and

a(11) = 4^10 = 1048576

Answer:

The 11th term is  1048576

Step-by-step explanation:

Thus we only take the positive root:x = 27/8 = 3.375Answer: 3.375 feet.

The problem states that a rectangular garden that measures 50 feet wide and 45 feet long is enclosed by a uniform width of x feet paved path. To solve the problem,

we can use the formula of the combined area of the garden and the paved path and equate it to 2646 square feet. The combined area is computed by adding the area of the garden and the area of the paved path.

Garden area:Length of garden = 45 ftWidth of garden = 50 ftArea of garden = Length x Width= 45 x 50= 2250 square feet

Paved path:

If the garden has a uniform width of x feet paved path, then the width of the paved path would be x + 2x + x= 4x. The width is multiplied by 2 because there are two widths surrounding the garden.

Length of paved path = length of garden + 2 (width of paved path)= 45 + 2 (4x)= 8x + 45Width of paved path = width of garden + 2 (width of paved path)= 50 + 2 (4x)= 8x + 50

The area of the paved path is computed by subtracting the area of the garden from the combined area.Area of paved path = Combined area - Garden area2646 square feet

= (8x + 45) (8x + 50) - 2250= 64x² + 760x + 675

We then solve for the value of x by factoring the quadratic equation.2646 square feet = 64x² + 760x + 6752646 - 2646

= 64x² + 760x + 675 - 264664x² + 760x - 1971

= 0(8x - 27) (8x + 73) = 0

The value of x cannot be negative,

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Answer:

6 or A

Step-by-step explanation:

Let's say n is equal to f(x). So "n is equal to g(x) and g(x) is equal to 3c + f(x) - 15 so when

n = 9 and c = 4 when I substitute I get 3(4) + (9) - 15 = 12 + 9 -15 = 21 - 15 = 6

The information in the table represents a proportional relationship because there is a consistent ratio between the number of hours worked and the amount of money earned.

In a proportional relationship, as one quantity increases, the other quantity also increases or decreases by the same factor. Joslyn earns $6 per hour

To determine if the information in the table represents a proportional relationship, we need to check if the ratio of the amount earned to the number of hours worked remains constant. Let's analyze the table:

Number of Hours Worked (x) Amount Earned (y)

   5                              $30

  10                             $60

  15                             $90

  20                            $120

To check if it's a proportional relationship, we calculate the ratio of the amount earned to the number of hours worked for each row:

For the first row:

Ratio = $30 / 5 = $6 per hour

For the second row:

Ratio = $60 / 10 = $6 per hour

For the third row:

Ratio = $90 / 15 = $6 per hour

For the fourth row:

Ratio = $120 / 20 = $6 per hour

As we can see, the ratio of the amount earned to the number of hours worked remains constant at $6 per hour throughout all the rows. This constant ratio indicates that the relationship between the amount earned and the number of hours worked is proportional.

Therefore, Joslyn earns $6 per hour.

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Answer:

1. C

2. A (maybe?)

Step-by-step explanation:

The files that allows us to retrace a material requirement upward in the product structure through each level, identifying each parent item that created the demand is e. Peg record file.

Product structure  can be described as the hierarchical decomposition of a product, which can be regarded as the bill of materials (BOM).

It should be noted that the  business becomes more responsive to unique consumer tastes  thjrough the meeting the unique configurations, hence in the files that allows us to retrace a material requirement upward in the product structure is the Peg record file.

Therefore, option E is correct.

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Answer:

  33 1/3% profit

Step-by-step explanation:

Suppose Krishna buys 60 oranges at each price. At the first price, Krishna pays ...

  60·(Rs 200)/10 = Rs 1200

At the second price, Krishna pays ...

  60·(Rs 300)/12 = Rs 1500

At the selling price, Krishna receives ...

  120·(Rs 450)/15 = Rs 3600

__

Krishna has paid a total of 1200 +1500 = 2700 for the oranges, and sold them for 3600. His profit percentage is ...

  (3600/2700 -1) × 100% = 33 1/3%

Answer:

18 hrs

Step-by-step explanation:

6hrs is 25%, so 6 times 3 is 18, Hope This Helps!

75% of a 24-hour day is 18 hour.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

75% of a 24-hour day

let 75% of 24 hour day be x.

So, 75% of 24 = x

x= 75/100 x 24

x= 3/ 4 x 24

x= 18 hours

Hence, 75% of a 24-hour day is 18 hour.

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Answer:

(11,2)

Step-by-step explanation:

Answer:

its actually (5,8)

Step-by-step explanation: