Continued questions:
g. For the data set: {12, 6, 9, 5, 11} find the interquartile range?
h. For the data set: (10, 8, 14, 17, 7} find the third quartile.
i. For the data set: (14, 11, 9, 3, 12} find the third quartile.
For the data set: {3, 8, 9, 11, 5} find the interquartile range.

In the function f(2)= -5, 2 is the preimage of the function and 5 is an image of the function.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

Suppose that f(a) = b

In that case, element "b" is the image of element "under the function," while element "a" is the preimage of element "under the function."

In the given function f(2)= -5

2 is the preimage of the function and 5 is an image of the function.

Hence, the 2 is the preimage of the function and 5 is an image of the function.

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D. 12,386, if you do the math thats what is equals

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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The probability that no two passengers gets off at the same floor will be 0.15.

As per the question statement, an elevator in a building starts with five passengers and stops at 7 floors where each passenger is equally likely to get off at any floor and all the passengers leave independently of each other.

We are required to calculate the probability that no two passengers gets off at the same floor.

Here, since repetition is not allowed,

That is, the total number of ways for 5 passengers are to be assigned to seven floors but no two passengers on the same floor

= 7P5 = [(7!)/(7 - 2)!] = [(7!)/(2!)] = (7 * 6 * 5 * 4 * 3) = 2520

And, the total number of ways to assign 5 passengers to 7 floors, with repetition being allowed will be

= (7)⁵ = 16807.

Therefore, the probability that no two passengers gets off at the same floor will be = (2520/16807) = 0.14993 ≈ 0.15

Probability: It is that branch of Mathematics which deals with the numerical descriptions concerning the extent to which an event is likely to occur, or how likely it is for a proposition to be true, and is measured by the ratio of the favorable cases to the whole number of cases possible.

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Answer:

-27/7

Step-by-step explanation:

Plug in 19 as x.

3/19+2 is simplified to 3/21 ---> 1/7

19-3 is 16, the square root of that is 4.

1/7 - 4

1/7 - 28/7

there we have -27/7

Answer:

The second set

Step-by-step explanation:

The second set is not a function because there is an input with more than one output.

Answer:

Hola hablo alemana

Step-by-step explanation:

hablo alemana

7 + 4x

4/5=3x

Answer:

my name is currently

Step-by-step explanation:

jeff joe jang

If a bicyclist in motion increases his speed by 30 percent and then increases this speed by 10% , 43%. percent of the original speed is the total increase in speed

To find the total increase in speed, we first need to find the new speed after the first increase of 30%.

If the original speed is represented as 100%, then the new speed after the first increase is

100 + (30% of 100) = 100 + 30 = 130.

Next, we find the new speed after the second increase of 10%.

The new speed after the second increase is

130 + (10% of 130) = 130 + 13 = 143.

Finally, we find the percent increase in speed compared to the original speed of 100%.

The percent increase in speed is

(143 - 100) / 100 * 100 = 43%.

Therefore, the total increase in speed is 43%.

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By identifying the maximum value (75) and the minimum value (59) in the data set, we can determine the range, which is 16 inches .

The range of a data set measures the spread or variability of the data. It is calculated by subtracting the minimum value from the maximum value. In this case, the minimum value is 59 (the shortest height) and the maximum value is 75 (the tallest height) in the given data set.

Range = Maximum value - Minimum value

Substituting the values, we have:

Range = 75 - 59 = 16

Therefore, the range of the given data set is 16. This means that the heights of the students in the high school class range from a minimum of 59 inches to a maximum of 75 inches, with a difference of 16 inches between them.

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Answer:

18/2

Step-by-step explanation:

First you need to convert the improper fraction then multiply the 4 by 2 and add 1 to it then it would be 9/2 and the whole number that is 3 you put it in a fraction then it would be 3/1 and then you multiply 9 by 3 and 2 by 1 and would be 2/18

The value of the midsegment(SR) of the Triangle KJI  is 7 .

The Mid Segment Theorem states that , the line segment joining the mid points , of the the other two sides of the triangle is parallel to and half the length of the third side .

In the question ,

it is given that

In triangle KJI , SR is the mid segment of the triangle KJI and IK is the base

So , by mid segment theorem ,

we get ( 2x - 5 ) = (1/2)(x + 8)

2*(2x-5) = x+8

4x - 10 = x + 8

3x = 10 + 8

3x = 18

x = 6

so , SR = 2x-5 = 2(6)-5 = 12-5 = 7

Therefore , The value of the midsegment(SR) of the Triangle KJI  is 7 .

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Answer:

A. 106

Step-by-step explanation:

Use the correct order of operations.

(8 + 2)² + (6 − 4) × 3 =

= 10² + 2 × 3

= 100 + 6

= 106

the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).

To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.

Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.

Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.

Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

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Answer:

-10

Step-by-step explanation:

h(-4) = 2(-4)+7 which equals -1

g(h(-4)) = -1²-9 which equals -10

We have demonstrated that x² ≥ x for all integers x. Therefore, the statement x² ≥ x for all x ∈ Z is true.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

To prove that x² ≥ x for all x ∈ Z, we need to show that the inequality holds true for any arbitrary integer value of x.

We can prove this by considering two cases:

Case 1: x ≥ 0

If x ≥ 0, then x² ≥ 0 and x ≥ 0. Therefore, x² ≥ x.

Case 2: x < 0

If x < 0, then x² ≥ 0 and x < 0. Therefore, x² > x.

In either case, we have shown that x² ≥ x for all integers x. Therefore, the statement x² ≥ x for all x ∈ Z is true.

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The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).

The difference of two expressions is determined by subtracting one from the other.

Find the difference of each of the expressions given to determine which will give us 5.

-3 - (-8)

= -3 + 8

= 5

-2 - 3 = -5 [this is not the same as 5]

1 - (-4)

= 1 + 4

= 5

7 - (-2)

= 7 + 2

= 9

-3 - (-8) and 1 - (-4) will give us a difference of 5.

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Answer:

(3, 2).

Step-by-step explanation:

It must be in the area containing  the squares

The missing term in the equation (x + 9)² = x² + 18x + is 81. The simplified form of the (x + 9 )² = x² + 18x + 81. The correct option is C.

Given

(x + 9)² =  x² + 18x +----

Required to find the missing term =?

It is given the form of ( a + b)² = a² + 2ab + b²

Putting the given values in the above form we get the value of the missing term from the equation

(x + 9 )² = x² + 2 × x ×9 + 9 × 9

              = x² + 18x + 81  

A quadratic equation is a second-order polynomial equation in one variable that goes like this: x ax2 + bx + c=0, where a 0. Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution. Real or complicated solutions are both possible.

Thus, we get the value of the missing term as 81.

Thus, the ideal selection is option C.

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To find Martin's average total income, we need to add his average weekly wage to his average weekly tips:

$240 (weekly wage) + $356 (weekly tips) = $596 (average total income)

Therefore, Martin's average total income is $596 per week.

Answer:

it mean

Step-by-step explanation:

asap skekdkdke

i am joking

Answer:

30%

Step-by-step explanation:

your monthly payment for borrowing $15,000 over 5 years with an annual interest rate of 5.9% and monthly payments will be approximately $283.89.

To calculate the number of months required to pay off the loan, we can use the loan repayment formula:

n = -log(1 - (r * PV) / PMT) / log(1 + r)

Where:

n = Number of months

PV = Loan amount (purchase price of the car)

PMT = Monthly payment

r = Monthly interest rate (APR divided by 12)

Substituting the given values, the formula becomes:

n = -log(1 - (0.04/12 * 12000) / 300) / log(1 + 0.04/12)

Simplifying this expression, we find:

n ≈ 40

Therefore, it will take approximately 40 months to pay off the loan for the used car.

Moving on to the second question, to calculate the monthly payment for borrowing $15,000 over 5 years with an annual interest rate of 5.9% and monthly payments, we can use the loan payment formula:

PMT = PV * (r *\((1 + r)^n\)) / (\((1 + r)^n\) - 1)

Where:

PMT = Monthly payment

PV = Loan amount

r = Monthly interest rate (annual interest rate divided by 12)

n = Number of months (5 years * 12 months per year)

Substituting the given values, the formula becomes:

PMT = 15000 * (0.059/12 * (\((1 + 0.059/12)^(5*12)\))) / (\((1 + 0.059/12)^(5*12)\) - 1)

Calculating this expression, we find:

PMT ≈ $283.89

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y = -5x/3 + 10/3

y = 2x/3 - 3

The average value of a set of numbers is calculated by summing all the values and then dividing the sum by the total number of values. In this case, we have the following set of values: 8.7, 9.1, 17.2, and 14.7.

To calculate the average, we add up all the values: 8.7 + 9.1 + 17.2 + 14.7 = 49.7.

Next, we divide the sum by the total number of values, which is 4 in this case: 49.7 / 4 = 12.425.

Therefore, the average value of the given set of values, rounded to three decimal places, is 12.425.

In conclusion, the average value of the set (8.7, 9.1, 17.2, 14.7) is 12.425.

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Correlations are used both as a hypothesis test to check the relationship between two variables, and also as internal reliability check, again to check the relationship between two items is true.

To evaluate a hypothesis about a population, hypothesis testing uses sample data. A hypothesis test evaluates the result's unusualness, determining if there is a reasonable amount of random variation or whether the result is too extreme to be accounted for by chance.

Reliability can be measured by internal consistency. When a measurement is said to be reliable, it means that it will always produce the same result, given all other factors being equal.

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Answer:

y = √(1×8) = 2√2

z = √(8×9) = 6√2

Answered by GAUTHMATH

Answer:

\(y=2\sqrt{2}\)

\(y\approx 2.82843\)

Step-by-step explanation:

The given triangle is a right triangle, this is indicated by the box around one of the angles in the triangle. The Pythagorean theorem is a property that applies to right triangles, this property comes in the form of an equation, which can be simply put as the following:

\(a^2+b^2=c^2\)

Where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle of the right triangle. The parameter (c) indicates the hypotenuse or the side opposite the legs of the right triangle.

Look at the smallest triangle in the entire image. Using the Pythagorean theorem, one can form an equation and solve for the unknown parameter, (y).

\(a^2+b^2=c^2\)

Substitute,

\((1)^2+(y)^2=(3)^2\)

Simplify,

\((1)^2+(y)^2=(3)^2\)

\(1+y^2=9\)

\(y^2=8\)

\(y=\sqrt{8}\)

\(y=2\sqrt{2}\)

\(y\approx 2.82843\)

Given data:

The amount Rosa earned per hour is 12.25$.

The expression for the given statement is,

Multiply the above expression by 19 1/2 on both sides.

Thus, the amount earned by Rosa in 19 1/2 hours is $238.87.

Answer:

the answer is C

Step-by-step explanation:

its making write more so yeah

Answer:

x=6.5

Step-by-step explanation:

subtract 3.5 from 10 and it gives you 6.5

:)