The value of a certain investment over time is given in the table below. Answer the
questions below to determine what kind of function would best fit the data, linear or
exponential.
Number of
Years Since
Investment
Made, x
Value of
Investment
(8), f(x)
11.486.36
9,181.76
values change
function is approximately
3
6,890.96
4.581.76
function would best fit the data because as x increases, the y
The
of this

The correct answer is d. standard error.the standard deviation of a sampling distribution of sample means is referred to as the standard error.

The standard deviation of a sampling distribution of sample means is commonly referred to as the standard error. It represents the variability or dispersion of the sample means around the population mean. The standard error quantifies the precision of the sample mean as an estimate of the population mean.

The sampling distribution of sample means is a theoretical distribution that shows the distribution of sample means obtained from multiple random samples of the same size taken from a population. It is an essential concept in inferential statistics, particularly when estimating population parameters.

The standard error is calculated by dividing the standard deviation of the population by the square root of the sample size. Mathematically, it is represented as:

Standard Error = (Population Standard Deviation) / √(Sample Size)

The standard error measures the average amount of deviation or error between the sample means and the population mean. A smaller standard error indicates less variability and greater precision in estimating the population mean. On the other hand, a larger standard error implies more variability and less precision.

Learn more about distribution here:

https://brainly.com/question/29664127

#SPJ11

Answer:

Step-by-step explanation:

Given, a n = 6n + 2. ∴ a 1 = 6 (1) + 2 = 6 + 2 = 8

Answer: n=0

Step-by-step explanation: -5n-2n=-7n. -7/0=0

Answer:

n=0

Step-by-step explanation:

0=-3n

-3*?=0

so n=0

Answer:

$1200 gross pay

Step-by-step explanation:

if you worked 40 hours normally and had 10 hours over time, that equation for the gross pay would be X = 20(40) + 30(10)

X = 20(40) + 30(10)

X = 800 + 300

X = 1200

The probability that abby, barry, and sylvia win the 1st, 2nd, 3rd prizes resprctively, in a drawing of 200 people in contest that no one win the prize is equals to 0.0000001269.

Total number of people present= 200

so, total possible outcomes= 200

We have to determine the probability that abby, barry, and sylvia win the 1st, 2nd, 3rd prizes resprctively.

The number of favourable outcomes for winning first prize = 1

So, probability that abby win the first prize = \(\frac{1}{200} \)

The number of favourable outcomes for winning second prize = 1

So, probability that barry win the second prize = \(\frac{1}{199} \)

The number of favourable outcomes for winning third prize = 1

So, probability that sylvia win the third prize = \(\frac{1}{198} \)

Now, total probability that no one can win more than one prize = \(\frac{1}{200} × \frac{1}{199} × \frac{1}{198} \)

= 0.0000001269

Hence, required probability value is 0.0000001269.

For more information about probability, visit:

https://brainly.com/question/25870256

#SPJ4

Complete question :

what is the probability that abby, barry, and sylvia win the 1st, 2nd, 3rd prizes resprctively, in a drawing of 200 people enter the contest no one can win more than one prize.

The correct formula for the revenue generated by the item is Revenue = 200p - 5p^2.

The revenue generated by the item can be calculated by multiplying the price (p) by the unit sales (200 - 5p). Therefore, the correct formula for the revenue generated by the item is:

Revenue = Price x Unit Sales
Revenue = p(200 - 5p)
Revenue = 200p - 5p^2

The revenue generated by the item is a quadratic function of the price (p). To find the maximum revenue, we need to differentiate the function with respect to p and set it equal to zero:

dRevenue/dp = 200 - 10p = 0
10p = 200
p = 20

Therefore, the maximum revenue is generated when the price of the item is $20. Substituting p = 20 in the revenue formula, we get:

Revenue = 200(20) - 5(20^2) = $2000

Hence, the correct formula for the revenue generated by the item is Revenue = 200p - 5p^2, and the maximum revenue is achieved when the price of the item is $20, generating a revenue of $2000.

Know more about revenue here,

https://brainly.com/question/29567732

#SPJ11

The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.

The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.

Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.

The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.

In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

Know more about Standard deviation here,

https://brainly.com/question/29115611

#SPJ11

D.

Explanation:

a landscape of farmland bisected by long straight roads"

divide into two parts.

hope I help you ☺️❤️

:) :>

The average speed on the winding road was 45 mph.

The bus traveled for 3 hours on the winding road, so the distance covered can be calculated using the formula: Distance = Speed × Time. Let's assume the average speed on the winding road as 'x' mph. Therefore, the distance covered on the winding road is 3x miles.

On the straight road, the bus traveled for 3 hours at an average speed that was 12 mph faster than its average speed on the winding road. So the average speed on the straight road can be expressed as 'x + 12' mph. The distance covered on the straight road can be calculated as 3(x + 12) miles.

The total distance covered in the entire trip is given as 210 miles. Therefore, we can write the equation:

3x + 3(x + 12) = 210

Simplifying the equation:

3x + 3x + 36 = 210

6x + 36 = 210

6x = 174

x = 29

So the average speed on the winding road was 29 mph.

The problem states that the bus traveled for 3 hours on both the winding road and the straight road. Let's assume the average speed on the winding road as 'x' mph. Since the bus traveled for 3 hours on the winding road, the distance covered can be calculated as 3x miles.

On the straight road, the average speed was 12 mph faster than on the winding road. Therefore, the average speed on the straight road can be expressed as 'x + 12' mph. The distance covered on the straight road can be calculated as 3(x + 12) miles.

The total distance covered in the entire trip is given as 210 miles. This allows us to set up the equation 3x + 3(x + 12) = 210 to solve for 'x'. Simplifying the equation leads to 6x + 36 = 210. Solving for 'x', we find that the average speed on the winding road was 29 mph.

In summary, the average speed on the winding road was 29 mph.

Learn more about distance

brainly.com/question/13034462

#SPJ11

The length of the side of the smaller square is 7 inches.

Let x be the length of the side of the smaller square.

The length of each side of a square is 3 inches more than the length of each side of a smaller square. Thus the length of the side of the larger square is

(x + 3) inches.

The area of the smaller square is

x^2 square inches.

The area of the larger square is

(x + 3)^2 square inches.

We can set up the equation:

x^2 + (x + 3)^2 = 149

Expanding and simplifying the equation gives:

x^2 + x^2 + 6x + 9 = 149

Combining like terms:

2x^2 + 6x - 140 = 0

Using the quadratic formula, we can solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a

x = (-6 ± √(6^2 - 4 * 2 * (-140))) / 2 * 2

x = (-6 ± √(36 + 1120)) / 4

x = (-6 ± √(1156)) / 4

x = (-6 ± √(596)) / 4

x = (-6 ± 34) / 4

x = -10 or x = 7

The side length of the smaller square can't be negative, so x = 7 inches.

To know more on quadratic formula

https://brainly.com/question/11540485

#SPJ4

Answer:

x = 4, JL = 2

Step-by-step explanation:

Given that MN bisects JL at K , then

JK = KL , substitute values

x - 3 = 13 - 3x ( add 3x to both sides )

4x - 3 = 13 ( add 3 to both sides )

4x = 16 ( divide both sides by 4 )

x = 4

Thus

JL = JK + KL = x - 3 + 13 - 3x = 10 - 2x = 10 - 2(4) = 10 - 8 = 2

The cost function for having x board feet of lumber delivered by Alumberyard is C(x) = 4x + 20. This function includes a charge of $4 per board foot of lumber, multiplied by the quantity x, and a fixed delivery charge of $20.

The cost of delivering lumber consists of two components: the cost per board foot and the fixed delivery charge. The cost per board foot is given as $4, so multiplying it by the quantity x gives the variable cost for the lumber. Adding the fixed delivery charge of $20 to this variable cost gives the total cost, which is represented by the function C(x) = 4x + 20.

Learn more about Alumberyard here:

https://brainly.com/question/15483460

#SPJ11

Answer:

4-5 ounces or 113-142 grams

Step-by-step explanation:

The solution to the given quadratic equation by using the quadratic formula is x = -4 + i, -4 - i.

The quadratic formula can be used to solve any quadratic equation. It is represented by the formula;

\(x = (-b \± \sqrt{b^2 - 4ac)} / (2a)\)

where x is the variable that we want to solve for, and a, b, and c are coefficients of the quadratic equation. The quadratic equation in this case is;

x² + 8x + 17

Therefore, a is 1, b is 8, and c is 17.

Substituting these values into the quadratic formula, we have;

\(x = (-8 \± \sqrt{8^2 - 4(1)(17))} / (2(1))\)

This simplifies to;

\(x = (-8 \± \sqrt{(64 - 68))} / 2\)

This further simplifies to;

\(x = (-8 \± \sqrt{(-4))} / 2\)

Therefore, the answer is x = (-8 + 2i) / 2, (-8 - 2i) / 2.

Simplifying this equation by factoring 2 in the numerator, we get;

x = -4 + i, -4 - i.

This concludes the solution to the given quadratic equation by using the quadratic formula.

To know more about quadratic visit

https://brainly.com/question/18269329

#SPJ11

Answer:

p-65=114

Step-by-step explanation:

In this equation, "p" is the amount of pencils in the box before he starts drawing. he removes 65 pencils from the box, leaving 114 in the box. What he needs with 65 pencils at once, I can't fathom.

The two-tailed test seeks evidence that the population parameter

(1) is not equal to the population parameter (2).

In a two-sample hypothesis test, a two-tailed test is employed to determine if there is evidence that the population parameter (1) differs from the population parameter (2).

This test is useful when we want to examine whether the two populations have significantly different means, proportions, or other relevant parameters.

The two-tailed test considers two possible alternative hypotheses: the population parameter (1) is either greater than the population parameter (2), or it is smaller than the population parameter (2). By considering both directions of the difference, we can evaluate the possibility of a significant difference in either direction.

In a two-tailed test, the null hypothesis assumes that the population parameters (1) and (2) are equal. The alternative hypothesis, on the other hand, states that there is a significant difference between the two population parameters. By conducting the test, we gather evidence to either support or reject the null hypothesis.

To perform a two-tailed test, we follow a standardized process. We calculate the test statistic, such as the t-statistic or z-statistic, and compare it to the critical value(s) from the appropriate distribution. If the test statistic falls in the rejection region, we reject the null hypothesis and conclude that there is evidence of a significant difference between the population parameters.

Hypothesis testing, specifically two-sample hypothesis testing, can provide a deeper understanding of statistical analysis. By exploring the various types of tests, their assumptions, and applications, researchers and analysts can make informed decisions based on reliable evidence. Additionally, understanding the nuances of hypothesis testing contributes to the development of robust experimental designs and accurate interpretation of results.

Learn more about Null Hypothesis

brainly.com/question/30484892

#SPJ11

Answer:

sin (π/3)= √3/2

cos (π/6) =√3/2

Answer:

The x-intercepts of the function are \(x = 3\) and \(x = -5\).

Step-by-step explanation:

We are given the function \(\displaystyle f(x) = x^2 + 2x - 15\).

In order to find the x-intercepts of the equation, we need to solve this quadratic. We can use factoring methods to solve it.

The parent function for a quadratic is \(f(x) = ax^2 + bx + c = 0\).

We can use this information to determine what factoring technique we want to use.

There are several different methods, including using the quadratic formula, but because this is easily factorable, we can avoid using it.

We see that our a is equal to 1 (there is no coefficient in front of x²), so we can use the easier of the techniques:

Therefore, let's determine what our c is: 15.

Now, let's label the factors for 15.

Therefore, our two factors are 3 and 5 since they cannot be broken down any further (they are prime numbers - we just performed prime factorization).

Now, we need to pay attention to the sign for c. It's negative, so one of our factors needs to be negative. Therefore, we can test this out:

Now, we check for which one matches the sign for b. This is positive 2, so our two factors are 5 and -3.

Finally, to factor, we add or subtract the factors from x depending on the sign. If the factor is positive, we add it. If the factor is negative, we subtract it. Therefore, we can set up our equations.

\(x + 5 = 0\\\\x = -5\)

\(x - 3 = 0\\\\x = 3\)

Therefore, for when x = 3 or x = -5, the line crosses the x-axis. These are the x-intercepts of the function.

Our answers are x = -5 and x = 3.

Answer: 164 sq. meters

Step-by-step explanation:

first two columns are both 5 by 8 m so 5 * 8 = 40.

To find the top part, you do 15 - 8 to find the remaining portion on top. Multiply that with 12 to get 84.

Answer:

164 sq. meters.

Step-by-step explanation:

area of big square minus area of small square

Solution:

Give the following below

To find the cosine function, we will apply the general formula for cosine function below

To find the value of b

Substitute the values of the variables into the general formula for cosine function

Applying a graphing tool,

The graph of one cycle of the function is shown below

Mr. McMahon expected a semi-annual probability of default of 35.7% on the bond.

How to solve?

To solve this problem, we can use the formula for the present value of a bond:

PV = (C/r) ×[1 - 1/(1+r)²n] + F/(1+r)²n

where PV is the present value of the bond, C is the semi-annual coupon payment, r is the semi-annual yield rate, n is the number of semi-annual periods, and F is the face value or redemption value of the bond.

We know that Mr. McMahon paid $880 for a $1000 bond, so the present value of the bond is PV = $880. The redemption value of the bond is F = $1000, and the yield rate that he desired was r = 8% per year, compounded semi-annually. Therefore, the semi-annual yield rate is:

i = 0.08/2 = 0.04

We can use the formula to solve for the number of semi-annual periods:

PV = (C/i) ×[1 - 1/(1+i)²n] + F/(1+i)²n

$880 = ($45/i) ×[1 - 1/(1+0.04)²(220)] + $1000/(1+0.04)²(220)

Solving for i gives:

i = 0.0517 or approximately 5.17%

This is the semi-annual yield rate that Mr. McMahon actually received on the bond. To find the semi-annual probability of default that he expected, we can use the formula for the expected yield rate of a bond:

yield = (1 - probability of default) ×(yield rate on the bond) + (probability of default) ×(recovery rate)

where the recovery rate is the percentage of the face value that would be recovered in the event of default.

Assuming that the recovery rate is zero (meaning that in the event of default, Mr. McMahon would receive nothing), we can solve for the probability of default:

0.08 = (1 - p) ×0.0517 + p ×0

Solving for p gives:

p = 0.357 or approximately 35.7%

Therefore, Mr. McMahon expected a semi-annual probability of default of 35.7% on the bond.

To know more about Compound Interest related question visit:

https://brainly.com/question/14295570

#SPJ1

There is a 0.091125 probability that all three randomly chosen houses have dogs.

In light of this, imagine that a recent survey of American homes regarding pet ownership revealed that 45% of households with pets were dog-owning, 34% were cat-owning, and 10% were bird-owning households.

• Three families are chosen at random, replaced, and with mutually exclusive ownership.

The calculation of probability is as follows based on the facts above:

=0.43^3

= 0.091125

Learn more about probability here

https://brainly.com/question/14210034

#SPJ4

Answer:

c = 40degrees

Step-by-step explanation:

the sum of a triangle should be 180 degrees

you need to ad 80+60 which is 140 then minus 140 from 180 which is 40 so 40 degrees is the measurement of angle c

The stem-and-leaf display of the data is

Stem | Leaves

1 | 2

2 | 2

3 | 3

4 | 5, 8

To start, let's assume we have a set of data values, such as 12, 22, 33, 45, 48, 53, 61, 62, 72, 83, 91, 96, 99.

The stem-and-leaf display consists of two parts: the "stem" and the "leaf." The stem represents the leading digit(s) of the data values, and the leaf represents the trailing digit(s). For example, the number 12 has a stem of 1 and a leaf of 2.

Now, let's organize the data values into their corresponding stems:

Stem 1: 12

Stem 2: 22

Stem 3: 33

Stem 4: 45, 48

Next, we list the leaves corresponding to each stem. The leaves are listed in ascending order next to their respective stems:

Stem 1: 2

Stem 2: 2

Stem 3: 3

Stem 4: 5, 8

To know more about stem and leaf plot here

https://brainly.com/question/32053953

#SPJ4

Answer:

$10.90

Step-by-step explanation:

Hmm... this question can be tricky. Don't get caught up! The formula is simple once you know what you're doing. Let's figure it out!

So, from the word problem we can determine that the weight is 2.5 pounds with a price of 4.36 a pound.  

The formula we will be using for this question is \(2.5(4.36)\). This may seem complicated, but all its saying is 2.5x4.36. You may be wondering, why are we using this formula? Well, for every pound of roast he buys, he pays 4.36 dollars. He is buying 2.5 pounds of roast, so we can do 4.36 2 times and 4.36 .5 times, which translates into 2.5 times 4.36. You with me so far? I hope so, because here comes the tricky part. Let's multiply:

4.36

x 2.5

--------

10.9

And there you have it! $10.90.

Please consider giving this response a brainliest. It took plenty of effort and time

Answer:

28

Step-by-step explanation:

Tan-1(8 / 15)

A (-3, -1) B (9, -1)

Step-by-step explanation:

start at B (9,- 1) move 13 units end at A (-3, -1)

K = -1

Because the lines have different slopes, we conclude that there is only one intercept, and thus, the system of linear equations has only one solution.

Remember that a system of equations has as many solutions as intercepts are when we graph both equations in the same coordinate axis.

Now, in this case, we have a system of linear equations:

y = m1*x + b

y = m2*x + b

Remember that linear equations are parallel only if the two lines have the same slope, in this case, we know that  m1 ≠ m2, so the slopes are different.

Then the lines are not parallel, which means that intersect only one time, so we conclude that the system of equations has one solution.

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Answer:

the correct is D. 280

Step-by-step explanation: