Here is a list of numbers.
32 29 30 37 34
34 33 31
Tanya thinks that to work out the median, she simply needs to find
the middle number. So she says that “37" is the median for this list of numbers.
Tanya's answer is not correct.
a) Describe what is wrong with her method.
b) Work out the median of the numbers in the list.

The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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Answer: B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i just got the biggest brain ever

The formula for the cost of a European call option can be derived in five lines as follows:

Start with the formula for the call option value: C = S(0)Φ(ω) - Ke^(-rt)Φ(ω - σ√t)

This formula represents the call option value (C) as the difference between two terms.

Use the notation S(0) to represent the current stock price at time 0.

S(0) is the starting price of the underlying asset (stock) at the beginning of the option contract.

Use Φ(ω) to represent the cumulative standard normal distribution of the random variable ω.

Φ(ω) represents the probability that the underlying asset price will be above the strike price (K) at expiration.

Use K to represent the strike price of the option.

K is the predetermined price at which the option holder can buy the underlying asset.

Use e^(-rt)Φ(ω - σ√t) to represent the present value of the expected payoff at expiration.

e^(-rt) is the present value factor that discounts the future payoff to its present value.

Φ(ω - σ√t) represents the probability that the option will be exercised based on the difference between the expected asset price and the strike price.

In summary, the formula C = S(0)Φ(ω) - Ke^(-rt)Φ(ω - σ√t) is derived to calculate the cost of a European call option. The formula combines the current stock price, strike price, time to expiration, risk-free interest rate, and volatility to estimate the value of the call option at a particular point in time.

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Answer:

Step-by-step explanation:

Any negative number starting from -4. The larger a negative number is, the smaller it becomes especially since it will be farther away from 0.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

10

Step-by-step explanation:

Intersecting Chords Formula:(segment piece) x (segment piece) =

       (segment piece) x (segment piece)

10x = 2*50

10x = 100

Divide by 10

10x/10 = 100/10

x = 10

Answer:

Okey the rate is 83.6/2 = 41.8 each minute.

Step-by-step explanation:

Well technically this is only after 2 minutes for each but if it were to say how much is filled after 3 minutes you”d say 125.4 miuntues

after 4 min you’d say 167.2 min

after 5 you’d say 209 min

you get the pattern

hope this helped :3

:3 byeeeeeeeeeeee

If a garden hose to fill a circular wading pool that is 83.6 cm deep. You measure the depth of the water in the pool every 2 minutes. Then 41.8 is answer.

The ratio of a space interval with a time interval .

Given that,

a garden hose to fill a circular wading pool that is 83.6 cm deep.

We measure the depth of the water in the pool every 2 minutes.

rate of change is

Eighty three point six divided by two equal to forty one point eight.

83.6/2 = 41.8 each minute

technically for after every 2 minutes for each

but if it were to say how much is filled after 3 minutes you”d say 125.4 miuntues

after 4 min we can say 167.2 min because 125.4+41.8

after 5we can say 209 min because 167.2+41.8

Hence 41.8 each minute is the answer for every two minutes.

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Answer:

√y = ¼ x² + 2

y = (¼ x² + 2)²

Step-by-step explanation:

dy / dx = x √y

Separate the variables:

dy / √y = x dx

Change radical to exponent:

y^-½ dy = x dx

Integrate both sides using power rule:

2 y^½ = ½ x² + C

2√y = ½ x² + C

Substitute initial condition:

2√9 = ½ (2)² + C

6 = 2 + C

C = 4

Therefore:

2√y = ½ x² + 4

√y = ¼ x² + 2

y = (¼ x² + 2)²

The range of the functions f(x) = |x| 9 and g(x) = –6 then (f+g)(x) will be equal  to (f+g)(x)\(\geq\)3 for all the values of x.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

It is given that

\(f(x)=|x|+9\)

\(g(x)=-6\)

So now

\((f+g)(x)=|x|+9-6=|x|+5\)

So from the above equation, we can see that (f+g)(x) describes the range  (f+g)(x)\(\geq\)3

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Answers 76:

Step-by-step explanation:

Answer:

Step-by-step explanation:

if r are roses, ben plants 6r

Answer:

(-1,3)

Step-by-step explanation:

You just need to see how the shape connects

Answer:

The answer is C

Step-by-step explanation:

HOPE it helps!!:))))

Answer:

Step-by-step explanation:

455

1. An exponential function to represent the spread of Ben's social media post is \(f(x) = 2(3)^x\)

2. An exponential function to represent the spread of Carter's social media post is \(f(x) = 10(2)^x\)

3. A graph of each function with three points for each curve is shown below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

Based on the table of values, the initial value is 2. Next, we would determine the common ratio (b) as follows;

Common ratio, b = a₂/a₁

Common ratio, b = 6/2 = 3.

Therefore, the required exponential function is given by;

\(f(x) = 2(3)^x\)

Part 2.

For Carter's social media post, we have the following exponential function:

\(f(x) = a(b)^x\\\\f(x) = 10(2)^x\)

Part 3.

In this scenario and exercise, we would use an online graphing calculator to plot the above exponential functions as shown in the graph attached below.

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The largest subset S on which the vector-valued function F is continuous is the interval (-3, ∞).

To find the largest subset S on which the given vector-valued function is continuous, we need to examine the individual component functions and identify any restrictions or conditions that could cause discontinuities.

Component 1: f1(t) = t/(9 + t^4)

This function is a rational function. It will be continuous for all real values of t except where the denominator equals zero: 9 + t^4 = 0. However, there are no real values of t that satisfy this equation, so f1(t) is continuous for all real values of t.

Component 2: f2(t) = 7t^2 - 7t + 1

This function is a polynomial function, and polynomial functions are continuous for all real values of t. Therefore, f2(t) is continuous for all real values of t.

Component 3: f3(t) = ln(t + 3)

The natural logarithm function is defined for the positive values of its argument. Therefore, t + 3 > 0, which implies t > -3. Hence, the function f3(t) is continuous for t > -3.

Taking all these considerations into account.The function is continuous for all values of t greater than -3.

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Answer:

The slope is -4/3

I hope this helps :)

We need to calculate the 4%

The raise will be $1614.44

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

The solution is, Ian walk in 4 1/2 days 81/4 = 20.25 miles.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

Ian walks 4 1/2 miles every day

i.e. in 1 day walks = 9/2 mile

so, Ian walk in 4 1/2 days is.

in 9/2 days walks = 9/2* 9/2 miles

                             =81/4 miles

Hence, The solution is, Ian walk in 4 1/2 days 81/4 = 20.25 miles.

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Answer:

=42+115x

10x

Step-by-step explanation:

3(7/5x+ 4) – 2( 3/2- 5/4)

=21/5x+12-2(6/4-5/4)

=21/5x+12-2×1/4

=21/5x+12-1/2

=21/5x+24/2-1/2

=21/5x+23/2

=42/10x+115x/10x

=42+115x

10x

Answer:

answer is equals to y = 700x + 600

Step-by-step explanation:

600 doesn't depend on anything hence it is b

Answer:

500 x 81% = 405

Step-by-step explanation:

In a:  Type 1 error = 0.05, In b: A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.  In C: Type 1 error

a) Type 1 error = 0.05

b) When you perform a hypothesis test in statistics, a p-value helps you determine the significance of your results. ... The p-value is a number between 0 and 1 and interpreted in the following way: A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.

0.03 < 0.05

c) Type I and type II errors. ... In statistical hypothesis testing, a type I error is the rejection of a true null hypothesis (also known as a "false positive" finding), while a type II error is failing to reject a false null hypothesis (also known as a "false negative" finding). so Type 1 error

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Answer:

q²(4-3)

q² is. common among them so q² comes out

q²(4-3)

We have determined the values of x1 and x2, we can proceed with evaluating the integral and finding the exact area enclosed by the curves.

To determine the area enclosed by the curves f(x) = x^3 - 3x^2 + 4x + 13 and g(x) = x + 1, we need to find the points of intersection between the two curves.

First, we set the two functions equal to each other:

x^3 - 3x^2 + 4x + 13 = x + 1

Simplifying the equation:

x^3 - 3x^2 + 3x + 12 = 0

Unfortunately, solving this equation for x analytically is quite difficult. We can approximate the solutions using numerical methods such as graphing or using software like Wolfram Alpha.

By graphing the two functions, we can estimate that there are two points of intersection within the interval [0, 10]. Let's denote these points as x1 and x2.

To find the area between the curves, we integrate the difference between the functions from x1 to x2:

Area = ∫[x1, x2] (f(x) - g(x)) dx

Once we have determined the values of x1 and x2, we can proceed with evaluating the integral and finding the exact area enclosed by the curves.

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The second derivative of f(x) = (ln x) / (4x) is given by f''(x) = (3ln x - 8) / (4x³).

To find the second derivative of f(x), we first need to find the first derivative. Using the quotient rule, we have:

f'(x) = [(4x)(1/x) - (ln x)(4)] / (4x)²

f'(x) = (4 - ln x) / (4x²)

To find the second derivative, we differentiate f'(x) with respect to x:

f''(x) = d/dx [(4 - ln x) / (4x²)]

f''(x) = [(d/dx)(4 - ln x)(4x²) - (4 - ln x)(d/dx)(4x²)] / (4x²)²

f''(x) = [(0 - 1/x)(4x²) - (4 - ln x)(8x)] / (4x²)²

f''(x) = (-4x + ln x + 4) / (4x³)

Therefore, the second derivative of f(x) is given by f''(x) = (3ln x - 8) / (4x³).

b) The second derivative of f(x) = 2e^(-x²) is given by f''(x) = 4x²e^(-x²)(2x² - 3).

To find the second derivative of f(x), we first need to find the first derivative. Using the chain rule, we have:

f'(x) = d/dx [2e^(-x²)]

f'(x) = -4xe^(-x²)

To find the second derivative, we differentiate f'(x) with respect to x:

f''(x) = d/dx [-4xe^(-x²)]

f''(x) = -4e^(-x²) + (-4x)(-2xe^(-x²))

f''(x) = -4e^(-x²) + 8x²e^(-x²)

f''(x) = 4x²e^(-x²)(2 - 3x²)

Therefore, the second derivative of f(x) is given by f''(x) = 4x²e^(-x²)(2x² - 3).

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Answer:

$100

Step-by-step explanation:

100 bills in each bag

$100 in 10 bags

The answer option that matches the graph I drew include the following: D. graph D.

In Mathematics, the following rules are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a graph:

In this context, we can logically deduce that the most appropriate graph to represent the solution to the given inequality y ≤ - 2x is graph D because the solid boundary lines must be shaded below.

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Answer:

$342

Step-by-step explanation:

[Total books] 6 + 9 + 4 = 19 books

[Price] 19 * 18 = $342

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather