II. Find the present value of $10,000 received at the start of every year for 20 years if the interest rate is J1 = 12% p.A. And if the first payment of $10,000 is received at the end of 10 years

The median remains unchanged at $55,000 even after the change in the largest number.

The median is a measure of central tendency that represents the middle value in a data set when arranged in ascending or descending order. It is not affected by extreme values or outliers.

In the given scenario, we have 10 employees with salaries originally ranging from the lowest to the highest. The original median is $55,000.

If the largest number on the list is changed from $100,000 to $1,000,000, it becomes an extreme value or outlier. However, since the median is not affected by extreme values, the median remains the same as $55,000 even after the change.

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The -1 part is not inside the natural log.

==============================================

Work Shown:

1 + 2*e^(x+1) = 9

2*e^(x+1) = 9-1

2*e^(x+1) = 8

e^(x+1) = 8/2

e^(x+1) = 4

x+1 = Ln(4)

x = Ln(4) - 1

a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Answer:

parallelogram

Step-by-step explanation:

opposite angles and sides are congruent

Answer: b. (6,27)

Step-by-step explanation:

y=5x- 3     x=6<---- put in the equation

y=5(6)-3 <------- mulitply 5 and 6

y=30-3 <---- subtracted

y= 27. <---- y value.

Answer being (6,27)

Hope it helps :)

Answer:

1350 is the answer I got hope it helps and remember of means multiply

Answer:

for the graph all you do is graph the points

the slope is 2

y-intercept is 8

equation- y=2x+8

and 18 dollars for 5 pizzas

Step-by-step explanation:

To evaluate the iterated integral ∭W fdV, where f(x, y, z) = xz + y^2 + z^2 and W is the bottom half of a sphere with radius 6, we can use spherical coordinates. The integral can be expressed as ∫AB ∫CD ∫EF ρ^2 sin(ϕ) f(ρ, ϕ, θ) dρ dϕ dθ, and the limits of integration need to be determined based on the geometry of the region.

In spherical coordinates, the integral ∭W fdV can be written as ∫AB ∫CD ∫EF ρ^2 sin(ϕ) f(ρ, ϕ, θ) dρ dϕ dθ, where ρ represents the radial distance, ϕ represents the polar angle, and θ represents the azimuthal angle.

Since W is the bottom half of a sphere with radius 6, the limits of integration need to be determined accordingly. The radius, ρ, varies from 0 to 6, as it represents the distance from the origin to the surface of the sphere. The polar angle, ϕ, ranges from 0 to π/2, as we are considering the bottom half of the sphere. The azimuthal angle, θ, can span the full range of 0 to 2π.

To evaluate the integral, we substitute the function f(ρ, ϕ, θ) = ρz + y^2 + z^2 into the integral expression and calculate the iterated integral ∫AB ∫CD ∫EF ρ^2 sin(ϕ) (ρz + y^2 + z^2) dρ dϕ dθ using the determined limits of integration. The resulting value will be the evaluation of the integral.

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To find the side lengths of a triangle using angles, you can employ trigonometric ratios like sine, cosine, and tangent

To find the side lengths of a triangle using angles, you can follow these steps:

Identify the given information: Determine which angles are known and which angles are unknown. Let's assume you have the measures of angles A, B, and C.

Apply the angle sum property: In a triangle, the sum of the interior angles is always 180 degrees. So, if you have the measures of two angles, you can find the measure of the third angle by subtracting the sum of the known angles from 180 degrees.

Determine the relationship between angles and side lengths: In a triangle, the lengths of the sides are related to the angles through the trigonometric ratios. The most common ratios are sine (sin), cosine (cos), and tangent (tan).

Use the trigonometric ratios: Depending on the given information, you can use the appropriate trigonometric ratio to find the side lengths. For example:

If you know an angle and the length of the side opposite to that angle, you can use the sine ratio: sin(A) = opposite/hypotenuse.

If you know an angle and the length of the adjacent side, you can use the cosine ratio: cos(A) = adjacent/hypotenuse.

If you know an angle and the lengths of the two sides that form that angle, you can use the tangent ratio: tan(A) = opposite/adjacent.

Solve for the unknown side lengths: Once you have the trigonometric equation involving an angle and side lengths, you can solve for the unknown side length using algebraic manipulations or a calculator.

Repeat these steps for the other angles to find the lengths of the remaining sides. Remember to consider the units of measurement (degrees or radians) and apply the appropriate trigonometric functions based on the given information.

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if I did it right then it's $32.38.

The breakeven point in the CVP (Cost-Volume-Profit) graph indicates the point where a company's total revenue equals its total costs, resulting in zero profit or loss. In this case, the correct answer is option A) Step 5.

Step 5 on the CVP graph represents the point where the total revenue line intersects the total cost line. At this point, the company has sold enough units to cover all its fixed and variable costs, resulting in neither profit nor loss. It is the point of equilibrium for the company's operations.

To better understand this concept, let's consider an example. Suppose a company manufactures and sells a product. The fixed costs include expenses like rent and salaries, while variable costs include the cost of raw materials and direct labor. The total revenue is determined by multiplying the selling price per unit by the number of units sold.

As the company increases its sales volume, it moves from step 1 to step 2, step 3, and so on, until it reaches step 5, which represents the breakeven point. Beyond the breakeven point, the company starts generating profit.

In summary, the breakeven point in the CVP graph is indicated by step 5, where total revenue equals total costs. It is the point at which a company neither makes a profit nor incurs a loss.

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Answer:

52

Step-by-step explanation:

If ABCD ~ EFGH

AND AB = 15 and EF = 18 and ABCD = 40

then

each side of ABCD should be 3cm less then side of EFGH

AB + BC + CD + DA = 40

AB + 3 + BC + 3 + CD +3 + DA + 3= P(EFGH)

40+12 = 52 = P(EFGH)

Answer:

2.08

Step-by-step explanation:

99/7.8=13.56

13.56/3.14=4.32

the square root of 4.32 is 2.08

If people show up at rate of 1 person every minute , then the probability that on a random minute , at least 3 people show up is 0.084  .

The number of people showing up at bar in San Diego during any random minute is a Poisson process with an average rate of 1 person per minute.

Let X = number of people who show up during a random minute.

Then X will  follows a Poisson distribution with parameter λ = 1.

So , probability of at least 3 people showing up in a random minute is:

⇒ P(X ≥ 3) = 1 - P(X < 3)

⇒ 1 - (P(X = 0) + P(X = 1) + P(X = 2))

By using Poisson probability mass function for finding P(X = k) for k = 0,1,2   ;

⇒ P(X = k) = (\(e^{-\lambda}\))×(\(\lambda ^{k}\))/k!

Substituting in λ = 1, we get ;

⇒ P(X = 0) = (\(e^{-1}\))×(\(1 ^{0}\))/0! = 1/e  ;

⇒ P(X = 1) =  (\(e^{-1}\))×(\(1 ^{1}\))/1! =  1/e  ;

⇒  P(X = 2) =  (\(e^{-1}\))×(\(1 ^{2}\))/2! = 1/2e  ;

So, the probability of at least 3 people showing up in a random minute is:

⇒  P(X ≥ 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2))

= 1 - (1/e + 1/e + 1/2e) = 1 - (2/e + 1/2e)

= 1 - (5/2e)

= 0.083019 ≈ 0.084  .

Therefore , the required probability is 0.084  .

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The given question is incomplete , the complete question is

Your friend sings every Saturday night at your favorite bar in San Diego. During his show, people show up at the rate of 1 person every minute.

What is the probability that on a random minute, at least 3 people show up ?

Thus, a sample size of 615 is necessary in order to have a 95% confidence interval for the population mean that is within +/- 0.1 of the sample mean, given a normal random variable x with mean 36 and variance 16.

Use the formula for the standard error of the mean:

SE = σ / sqrt(n)

where σ is the standard deviation of the population, which is the square root of the variance (in this case, σ = sqrt(16) = 4), and n is the sample size.

We want to find the sample size n that will give us a 95% confidence interval for the population mean that is within +/- 0.1 of the sample mean. This means we need to find the z-score for a 95% confidence interval, which is 1.96 (from a standard normal distribution table).

So we have:
0.1 = 1.96 * SE
0.1 = 1.96 * (4 / sqrt(n))
0.1 = 7.84 / sqrt(n)
sqrt(n) = 78.4
n = 614.2

Rounding up to the nearest integer, we get a sample size of n = 615.

Therefore, a sample size of 615 is necessary in order to have a 95% confidence interval for the population mean that is within +/- 0.1 of the sample mean, given a normal random variable x with mean 36 and variance 16.

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Answer:

16

Step-by-step explanation:

10+6=16 sheeesh

Answer: -4

Step-by-step explanation:

Count back 6 times from -10 towards 0.

Answer:

-5

Step-by-step explanation:

x=-3-2

x=-5

+2 GOES ON RIGHT AND IT BECOMES -2 And then -×-is=+but 3 is greater so the sign becomes-

Answer:

-0.96126 but this isn't rounded so you will need to round yourself

Answer:

The answer is

Step-by-step explanation:

Answer:

Step-by-step explanation:

0

Answer:

Hi im filipino :))

Step-by-step explanation:

Thanks for the points

Answer:

If two triangles are mathematically similar, their corresponding sides are proportional, and their areas are proportional to the square of the corresponding sides.

Let's say that the corresponding sides of triangles ABC and DEF are:

AB:DE = BC:EF = AC:DF = k

Then the ratio of their areas is:

(area of ABC)/(area of DEF) = (ABBC)/2 / (DEEF)/2 = (AB/DE)*(BC/EF) = k^2

We know that the area of triangle ABC is 34 cm², so:

(area of ABC)/(area of DEF) = 34/(area of DEF) = k^2

We need to find the length of triangle DEF, which is the same as finding the value of k. To do that, we need to find a pair of corresponding sides. Let's say that the length of AB is 4 cm, and the length of BC is 17 cm.

Then, using the ratio of corresponding sides, we can find the lengths of DE and EF:

DE = (AB/DE)DE = k4

EF = (BC/EF)EF = k17

Now we can find the area of triangle DEF:

(area of DEF) = (area of ABC) / (k^2) = 34 / (k^2)

(area of DEF) = (DEEF)/2 = (k4)(k17)/2 = 34k²

Now we can equate the two expressions for the area of triangle DEF:

34/(k^2) = 34k²

Dividing both sides by 34 gives:

1/(k^2) = k²

Taking the square root of both sides gives:

k = 1

Therefore, the corresponding sides of triangles ABC and DEF are equal in length, and the area of triangle DEF is also 34 cm²

Answer:

It would be 6$ each person

Answer:

Interpolation and extrapolation are two methods used to estimate data points within or beyond a given set of values.Interpolation is the process of estimating a data point within the given range of values, based on the relationship between the known data points. For example, suppose we have the following data points: (1, 3), (2, 5), and (4, 9). If we want to estimate the value of y for x = 3, we can use interpolation to calculate it based on the trend of the data points within the given range. In this case, we can see that the slope of the line between (2, 5) and (4, 9) is the same as the slope of the line between (1, 3) and (2, 5). Therefore, we can estimate the value of y for x = 3 to be 7, using the trend of the known data points.Extrapolation, on the other hand, is the process of estimating a data point beyond the given range of values, based on the trend of the known data points. For example, suppose we have the same data points as before: (1, 3), (2, 5), and (4, 9). If we want to estimate the value of y for x = 5, we can use extrapolation to calculate it based on the trend of the known data points. In this case, we can see that the slope of the line between (2, 5) and (4, 9) is the same as the slope of the line between (1, 3) and (2, 5). Therefore, we can estimate the value of y for x = 5 to be 11, assuming that the trend of the known data points continues beyond the given range.Here is a graph that shows both interpolation and extrapolation:

{graph attached below}

In the graph, the blue dots represent the known data points. The red line represents the trend of the known data points, which can be used for interpolation and extrapolation. The green dot represents an interpolated data point, while the purple dot represents an extrapolated data point.In summary, interpolation and extrapolation are similar in that they both involve estimating data points based on the trend of the known data points. However, they differ in that interpolation estimates data points within the given range of values, while extrapolation estimates data points beyond the given range of values.

hope this helps!

Answer:

sum of interior angles is 1440

Step-by-step explanation:

sum=(n-2)180

=(10-2)180

=8*180=1440

Answer:

C. 69 (nice)

Step-by-step explanation:

Sine: Opposite side over hypotenuse

Cosine: Adjacent side over hypotenuse

Tangent: Opposite side over adjacent side

Respective to angle O, we are given the adjacent side, 5, and the hypotenuse 14, so we can use cosine.

cos(O)=5/14

O=arcsin(5/14)≈69.0752

The answer is 69.

Yes, the equation of velocity is rearranged to find the area under the curve.

The equation of velocity in general is v = d/t

where v = velocity, d = distance, and t = time.

We rearrange this equation to create an equation for distance and the equation of distance determines the area under the curve.

Our motive is to isolate the variable whose equation we want to create. So, in this case, isolate 'd' and move all other variables to the other side.

1. Multiply both sides by t

v × t = d/t × t

2. Cancel the t where appropriate

v × t = d

3. We get the equation for d

d = v × t

Now, this equation is used to find the area under the curve.

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