Use the display of data items to find the mean, median, mode, and midrange.

Stems

Leaves

4

6 2 8

7 6 6 5

9

0 7

The mean of the data is _ (Round to the nearest tenth as needed.)

The median of the data is D. (Round to the nearest tenth as needed.)

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

O A. The mode is of the data is

(Use comma to separate answers as needed.)

• B. There is no is mode for the given data.

The midrange of the data is . (Round to the nearest tenth as needed.)

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Answer:

true

Step-by-step explanation:

To this answer the answer is A.

Answer:

c

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

hope it helps

answer:

x • y = 1

explanation:

\(\left(7^x\right)^y\:=\:7\)

\(\left(7^x\right)^y=7\)

\(xy=1\)

Answer: 7 hundreds are in 700

Step-by-step explanation: because if you divide 700 by 100 it equals 7.

On the basis of given informations and values the angle of elevation of the ramp is calculated to be approximately 22 degrees.

We can use the tangent function to find the angle of elevation of the ramp. Let's call the height of the ramp "h" and the horizontal distance from the bottom of the ramp to the building "d". Then the tangent of the angle of elevation θ is given by:

tan θ = h/d

Substituting the given values, we get:

tan θ = 6/15

Simplifying this expression, we get:

tan θ = 0.4

To find the angle θ, we can take the inverse tangent (or arctan) of both sides of the equation:

θ = tan⁻¹ (0.4)

Using a calculator, we get:

θ ≈ 21.8 degrees

Therefore, the angle of elevation of the ramp to the nearest degree is 22 degrees.

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The total amount of meals in dollars served by Jerome is equals to $1150.

Total amount Jerome earned this weekend = $252.50.

Jerome earned every weekend = $80.

Jerome earned cost of meals as tips by serving them = 15%

Let us consider the dollar amount of the meals that Jerome served 'x'.

Jerome earned a total of $252.50 for the weekend,

which consists of his earnings from the meals and his flat rate earnings.

Set up an equation to represent this,

x × 0.15 + 80 = 252.50

Simplifying this equation by subtracting 80 from both sides, we get,

⇒ 0.15x = 172.50

⇒ x = 1150

Therefore, the dollar amount of the meals that Jerome served was $1150.

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The above question is incomplete, the complete question is:

The weekend Jerome earned 252. 50 in all. What was the dollar amount of the meals that Jerome served? Jerome served worth meals this weekend. Jerome earns 15%percent off all the costs of meal on all meals and he earns 80 dollars every weekend

To achieve better accuracy when adding the numbers from 0.01 to 1.00, it is recommended to add the numbers in ascending order (from smallest to largest) to minimize the accumulation of rounding errors and maintain higher precision during intermediate calculations. Thus, starting with 0.01 and ending with 1.00 would provide better accuracy.

To achieve better accuracy when adding the numbers from 0.01 to 1.00, it is generally recommended to use an order that minimizes the accumulation of rounding errors. In this case, it is advisable to start with the smaller numbers and progress towards the larger ones.

By adding the numbers in ascending order (from 0.01 to 1.00), the rounding errors at each step will have a smaller impact on the overall result. This is because adding smaller numbers together first helps maintain a higher level of precision during intermediate calculations.

Therefore, to achieve better accuracy, you should add the numbers in ascending order, starting with 0.01 and ending with 1.00.

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The first-order derivative of \(y=(lnx)^2\) with respect to x is \(y'= \frac{2lnx}{x}\)

To find the derivative, we can use the power rule and the chain rule. The power rule states that if \(y=u^n\), where u is a function of x and n is a constant, then \(\frac{dy}{dx}= nu^{n-1} \frac{du}{dx}\).

In this case, our function is \(y=(lnx)^2\) where \(u=ln x\) and n=2.

Applying the power rule, we have   \(\frac{dy}{dx}= 2(lnx)^{2-1} \frac{d(lnx)}{dx}\).

The derivative of ln x with respect to x can be found using the chain rule. The chain rule states that if  \(y=f(g(x))\), then  \(\frac{dy}{dx} = f'(g(x)) . g'(x)\).

In our case, f(u)= u² and g(x)= ln x.

Taking the derivative of f(u)=u² with respect to u gives f'(u)= 2u.

The derivative of g(x)=ln x with respect to x is g'(x)= 1/x.

Applying the chain rule, we have  \(\frac{dy}{dx}= 2(lnx)^{2-1} \frac{1}{x} =\frac{2(lnx)}{x}\).

Therefore, the first order derivative of y=(lnx)² is  \(y'= \frac{2lnx}{x}\).

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Answer:

$1.75

Step-by-step explanation:

4.5-2.75=1.75

Answer:

1¾ dollars

Step-by-step explanation:

4.5 - 2.75 = 1.75

Answer:

-1

Step-by-step explanation:

put numbers in order

-5 , -4.5 , -2 , -1.5 , -0.5 , 2 , 2.5 , 3

add two middle numbers up

- 1.5 + - 0.5 = -2

-2/2 = -1

Steps per mile is a measure of how many steps a person takes to walk one mile, Which is 2000 steps.

It takes over 2,000 steps to walk one mile and 10,000 steps would be almost 5 miles, as the average person has a stride length of approximately 2.1 to 2.5 feet.

The number of steps required to walk a mile can vary from person to person depending on their height, weight and stride length. And Generally, taller people with longer strides take fewer steps per mile, while shorter people with shorter strides take more steps per mile.

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Answer:

34 degrees

Step-by-step explanation:

Answer: 16−32

Step-by-step explanation:

(2−4)⋅8

1) Reorder terms  (2−4) ⋅8 = 8(2−4)

2) Apply the distributive law  

8(2−4)= 8 . 2m -8 . 4

3) Simplify

8 . 2m -8 . 4 = 16m-32

The equation that expresses WXY = 138° - YXZ by the angle is WXY = WXZ - YXZ.

In Trigonometry, an aspect is a shape that is composed of two rays, referred to as the angle's sides, which thus converge at a central point known as the angle's vertex. Several rays can create an angle inside this plane where they are connected. Additionally, when jets collide, an angle is created. Dihedral angles are what they are called. An perspective is a possible shape given two wavelengths or lines with both a common termination in planar geometry. The English term "angle" derives from the Latin verb "angulus," which meaning "horn." The vertex is the common ending of the two rays, also know as the sides of the angle.

given

An angle can be divided like ordinary numbers .

Here ,

Line XY divides ∠WXZ into ∠WXY & ∠YXZ

Therefore

∠WXZ = ∠WXY + ∠YXZ

The equation that expresses WXY = 138° - YXZ by the angle is WXY = WXZ - YXZ.

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Answer:

Answer:

C. The balloon starts at a height of 500 ft  and rises at a rate of 150 ft.

Step-by-step explanation:

We have been given a graph which represents the height of the balloon over time.

We can see from our graph that y-intercept, which represents the height of the balloon (in thousand feet) at time equals zero, is 0.5. To find the correct y-intercept we will multiply 0.5 by 1000 as height of the balloon is given in thousand feet.

Therefore, y-intercept represents that the balloon starts at a height of 500 feet.  

Now let us find slope of our given line using slope formula.

is vertical change or rise.

is horizontal change or run.

Upon substituting given values in above formula we will get,

Now let us multiply 0.15 by 1000 as height of balloon is given in thousand feet.

Therefore, slope of our line is 150 which means that height of balloon is increasing 150 feet per second or balloon is rising at a rate of 150 feet per second.

Upon looking at our given options we can see that option C is the correct choice.

Step-by-step explanation:

The slope is (change in y)/(change in x). Taking (0, 0.5) and (10, 2) since the x axis is horizontal and the y axis vertical, we get the slope to be (2-0.5)/(10-0)=

1.5/10=3/20=0.15. Since it's based off of 1000 feet, we multiply 0.15 by 1000 to get 150 as the rate of change for every x value. In addition, since we start at 0.5, 1000*0.5=500 and we therefore start at 500 ft. Using the information we have, we therefore have C as our answer

Answer:

Let me get my notes real quick. Give me a few seconds. Ok, in order to dermine propability you first do:
1: Determine the event (Like picking out 2 red marbles from a bag.) with 1 outcome (In this case, getting the marbles.)

2: Find the total amount of outcomes, like 1 7 2 9 1 2 2 2, (Example: What is the propability of geeting a 2? 4/8/50%)

3: Divide the number of events (How many times you've done it.) by the number of possible outcomes.

That's all there is.

We can start by placing the center at (-5,1).

The radius of the circle will be the distance between the center and the point (-2,-3).

If we graph this two points, we can use an angle protractor to draw the circle passing through point P(-2,-3) and centered at (C(-5,1):

Using sampling concepts, it is found that stratified sampling is used.

Samples may be classified as:

In this problem, the population is divided into groups according to their ages, then equal proportions of each group are taken, hence stratified sampling is used.

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Because the sample statistic centers around a different value than the population parameter, the sample mean absolute deviation is a biased estimator of the population mean absolute deviation.

Reason Behind a Biased Estimator

The expected value (average) of all the sample absolute deviations must match the population absolute deviation in order for the absolute deviation to function as an unbiased estimator. It does not, however, which makes the values of sample mean absolute deviation behave as a  biased estimator.

Brief Description of Sample Mean Absolute Deviation

The average of the absolute deviations from a central point makes up the average absolute deviation of a data collection. It is a statistical summary of statistical variability or dispersion.

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Answer:

70 days

Step-by-step explanation:

We solve using Lowest Common Denominator method

Find and list multiples of each number of days for a walk until the first common multiple is found. This is the lowest common multiple.

Jeanne goes to the city park every 7 days for walk. Susan goes to the park every 10 days.

Hence:

Multiples of 7:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90

Therefore,

LCM(7, 10) = 70

Therefore, the number of days in which they will they be in the park and meet again is 70 days

Answer:

Step-by-step explanation:

If you are asked to evaluate the expression 3(z + 9), you can simplify it using the distributive property to get the answer of 3z + 27.

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.

The distributive property is a fundamental rule in algebra that allows you to simplify expressions that contain parentheses. It says that when you multiply a number by a sum (in this case, z + 9), you can distribute the multiplication to each term inside the parentheses. This means you multiply the first term in the parentheses (z) by the number outside the parentheses (3), and then you multiply the second term (9) by the same number (3).

So, when we apply the distributive property to the expression 3(z + 9), we get:

3(z + 9) = 3z + 3(9)

We can then simplify 3(9) by multiplying 3 and 9 together to get:

3(z + 9) = 3z + 27

Therefore, this means that 3(z + 9) is equivalent to 3z + 27.

Therefore, if you are asked to evaluate the expression 3(z + 9), you can simplify it using the distributive property to get the answer of 3z + 27.

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Answer:

Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity.

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…

Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…

All integers belong to the rational numbers. A rational number is a number

ab,b≠0

Where a and b are both integers.

Example

The number 4 is an integer as well as a rational number. As it can be written without a decimal component it belongs to the integers. It is a rational number because it can be written as:

41

or

82

or even

−8−2

Whereas

15=0.2

is a rational number but not an integer.

A rational number written in a decimal form can either be terminating as in:

15=0.2

Or repeating as in

56=0.83333...

All rational numbers belong to the real numbers.

If you look at a numeral line

picture05

You notice that all integers, as well as all rational numbers, are at a specific distance from 0. This distance between a number x and 0 is called a number's absolute value. It is shown with the symbol

|x|

If two numbers are at the same distance from 0 as in the case of 10 and -10 they are called opposites. Opposites have the same absolute value since they are both at the same distance from 0.

|10|=10=|−10|

Step-by-step explanation:

Answer:

quadratic function can find and write with the vertex and function the graph better.

Step-by-step explanation:

Part A: Approximation of f(2) using Euler's method with two steps of equal size is (1 + 9k) + k(1 + 9k)(1 - 9k). Part B: f "(0) in terms of k and y is 8k.

Part A: To approximate f(2) using Euler's method with two steps of equal size, we need to find the values of f(x) at x = 0, x = 1, and x = 2.

Given the differential equation:

y' = ky(10 - y)

Using Euler's method with a step size of h, the approximation formula is:

f(x + h) ≈ f(x) + hf'(x)

Let's calculate the values using two steps of equal size (h = 1):

x = 0, f(0) = 1 (given initial condition)

f'(0) = k(1)(10 - 1) = 9k

f(1) ≈ f(0) + hf'(0) = 1 + 1(9k) = 1 + 9k

x = 1, f(1) ≈ 1 + 9k

f'(1) = k(1 + 9k)(10 - (1 + 9k)) = k(1 + 9k)(1 - 9k)

f(2) ≈ f(1) + hf'(1) = (1 + 9k) + 1(k)(1 + 9k)(1 - 9k) = (1 + 9k) + k(1 + 9k)(1 - 9k)

Therefore, the approximation of f(2) in terms of k using Euler's method with two steps is (1 + 9k) + k(1 + 9k)(1 - 9k).

Part B: To find f "(0) in terms of k and y, we need to differentiate the given differential equation with respect to x.

Differentiating y' = ky(10 - y):

y" = k(10 - y) + ky(-1)

Simplifying:

y" = 10k - ky - ky

y" = 10k - 2ky

Substituting the initial condition f(0) = 1 into the equation:

f "(0) = 10k - 2k(1) = 10k - 2k = 8k

Therefore, f "(0) in terms of k and y is 8k.

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Answer:

3p - q = 3(2-5) - (8x3) = -9 - 24 = -33. Therefore, 3p-q=-33.

After performing some mathematical operations, we can conclude that the car would take 199 seconds that is 3 minutes and 19 seconds to travel a distance of 3.6 miles.

So, in seconds the car would take to travel 3.6 miles:

Then, calculate as follows to get in how many seconds the car will travel 3.6 miles:

Therefore, after performing some mathematical operations, we can conclude that the car would take 199 seconds that is 3 minutes and 19 seconds to travel a distance of 3.6 miles.

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Answer:

Here, is the answer in the above attachment.

Solution is, (4, -3)

Answer:

C. 7 * (2 * 2)

Step-by-step explanation:

Figure out the original expression to see the equivalent expression.

(7 * 2) * 2

14 * 2

28

We have to look for an expression that equals 28.

A is (7 + 2) * 2.

(7 + 2) * 2

9 * 2

18

A equals 18, so it's not equivalent to the original expression.

Now B, which is (2 * 2) + 7

(2 * 2) + 7

4 + 7

11

B equals 11, so it is also not equivalent.

Now C; that is 7 * (2 * 2)

7 * 4

28

C equals 28, so that is equivalent. Although we have found our answer, we need to make sure it's right by evaluating D. ((2 * 7) + (2 * 2))

(2 * 7) + (2 * 2)

14 + 4

18

D, like A, equals 18, so it is also incorrect.

C is the only expression that is equivalent to (7 * 2) * 2, so it is the answer.