determine if the following is an example of descriptive or inferential statistics. 85 randomly selected fifty-year-old americans were asked how much money they had saved for their retirement. the average for these respondents was $25,000, the minimum was $0 and the maximum was $1,200,000.

The general antiderivative of the rate of change function s(m) = 500m + 8 DVDs per month is [tex]S(m) = 250m^2/2 + 8m + C[/tex].

The general antiderivative of a rate of change function is calculated by integrating the rate of change expression over the given interval. In this case, the rate of change of DVD orders is given by s(m) = 500m + 8 DVDs per month. We can calculate the general antiderivative of this expression by integrating it over the given interval from m = 0 (the beginning of the year) to some arbitrary value m. This gives us the following expression for the general antiderivative: [tex]S(m) = 250m^2/2 + 8m + C[/tex], where C is the constant of integration. To calculate the value of S(m) for any given value of m, we simply plug the value of m into the expression above and solve for S(m). For example, if m = 5, then [tex]S(5) = 250(5)^2/2 + 8(5) + C = 1250 + 40 + C = 1290 + C[/tex]

The general antiderivative of the rate of change function s(m) = 500m + 8 DVDs per month is [tex]S(m) = 250m^2/2 + 8m + C[/tex].

Learn more about general antiderivative here:

https://brainly.com/question/26412188

#SPJ4

The value of the segment a for the similar triangles is equal to 6.

The triangles MNO and YXO are similar, this implies that the length OX of the smaller triangle is similar to the length ON of the larger triangle

and the length OY of the smaller triangle is similar to the length OM of the larger triangle

so;

a/(a + 18) = 4/(4 + 12)

16a = 4(a + 18) {cross multiplication}

16a = 4a + 72

16a - 4a = 72 {collect like terms}

12a = 72

a = 72/12 {divide through by 12}

a = 6.

Therefore, the value of the segment a for the similar triangles is equal to 6.

Know more about similar triangles here:https://brainly.com/question/14285697

#SPJ1

Answer: 2621.92

Step-by-step explanation:

The addition of the numbers 2610 and 11.7 and 0.22 is 2621.92.

Hence the correct option is given by (D).

Addition is a mathematical operation to sum up between two or more than two mathematical quantities or numbers specially.

Here given the numbers are 2610 and 11.7 and 0.22.

So the addition of the numbers 11.7 and 0.22 is given by,

= 11.7 + 0.22

= 11.92

So the sum of 2610, 11.7 and 0.22 is given by,

= 2610 + 11.7 + 0.22

= 2610 + 11.92

= 2621.92

Hence the correct option is given by (D).

To know more about addition here

https://brainly.com/question/29560851

#SPJ2

Accordingly, x0 = 0, x1 = 3, x2 = 0, and x3 = 3 are the first three iterations of f ( x) = -2x + 3 when x0 = 0.

A loop is described as a section of code that runs repeatedly. The procedure in which a code fragment is run just once is referred to as iteration. One iteration is the single time a loop is run. A loop may run through numerous iterations.

x1 = f(x0) = f(0) = -2 * 0 + 3 = 3

x2 = f(x1) = f(3) = -2 * 3 + 3 = 0

x3 = f(x2) = f(0) = -2 * 0 + 3 = 3

So the first 3 iterates of the function f(x) = -2x + 3 when x0 = 0 are:

x0 = 0, x1 = 3, x2 = 0, x3 = 3

To know more about Iterates visit :
https://brainly.com/question/15208678

#SPJ1

The linear function that represents the relationship is given as follows:

y = 2x + 3.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

From the table, when x increases by 2, y increases by 4, hence the slope m is found as follows:

m = 4/2

m = 2.

Hence:

y = 2x + b

When x = 5, y = 13, hence the intercept b is obtained as follows:

13 = 2(5) + b

b = 3.

Meaning that the function is given as follows:

y = 2x + 3.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

The product  of two numbers 2.8 × 10³ and 9.7 × 10³ can be represented in scientific notation as, 2.716 x 10⁷

The standard form for a number is a method by which we write number in a format like b×10ˣ. The value of b should be in between 0 to 10.

Given that,

The numbers,

2.8 × 10³

And  9.7 × 10³

the product in scientific notation = ?

the product in scientific notation = 2.8 × 10³ x 9.7 × 10³

It is known that,

if same numbers are in multiplication form,

their powers can be added

the product in scientific notation = 27.16 x 10³⁺³

                                                       = 27.16 x 10⁶

It can be further written as,

multiplied and divide by 10

the product in scientific notation = 27.16 x 10⁶x10/10

                                                       = 2.716 x 10⁷

Hence, the product is 2.716 x 10⁷

To know more about scientific notation check:

https://brainly.com/question/4953486

#SPJ1

P(A) = 11/18

P(B) = 5/18

P(C) = 1/9

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

Explanation:

Check out the diagram below. I have marked your given diagram with fractions. The red fractions 1/3, 1/3, and 1/3 are probabilities that correspond to picking the left-most set of 3 branches. Each has 1/3 chance of randomly being selected. This assumes any of the branches are equally likely.

The blue fractions 1/2 and 1/3 are the probabilities for the next set of sub-branches. For instance, the upper pair of branches each have probability 1/2 of being randomly selected, since we have two of them.

The green fractions are the result of multiplying the red and blue fractions along a particular pathway. Eg: The upper-most pathway has (1/3)*(1/2) = 1/6

---------------

The diagram below shows that:

In summary

Side notes:

The equation for a parabola that has x-intercepts (5,0) and (6,0) and y-intercept (0,1) is: [tex]y =[/tex] [tex]a(x + 0.5)^2 - 1[/tex]

The equation of a parabola can be found by using the vertex form of a parabolic equation, which is given by:[tex]y = a(x - h)^2 + k[/tex], where (h, k) is the vertex of the parabola. In this case, the x-intercepts (5, 0) and (-6, 0) can be used to find the value of h, which is the midpoint between the x-intercepts and is equal to (-6 + 5) / 2 = -0.5.

The y-intercept (0, -1) can be used to find the value of k. So, the equation is:[tex]y = a(x + 0.5)^2 - 1[/tex], where a is a constant that can be determined by substituting the vertex coordinates (h, k) into the equation.

Learn more on Parabola:

https://brainly.com/question/28747870

#SPJ4

The combinations of items he can buy are:

1 popcorn balls and 1 candy stick.

2 candy sticks

Zeg has $9.20 left

First, calculate the price of items in his shopping basket:

2 giant lollipops = 2 * $1.75 = $3.5

3 popcorn balls = 3 * $0.5 = $1.5

1 candy bar = 1 * $0.99 = $0.99

5 candy sticks = 5 * $0.45 = $2.25

Total price =  $3.5 + $1.5 + $0.99 + $2.25 = $8.24

Amount left = $9.20 - $8.24 = $0.96

Since the price of 1 popcorn balls and 1 candy stick = $0.5  + $0.45 = $0.95

Also, 2 candy sticks = 2 * $0.45 = $0.90.

Notice that these two are still within $0.96 we have left

Learn more about combinations on:

brainly.com/question/11732255

#SPJ1

The value of c does not affect the covariance of Y and Z.

The covariance of Y and Z can be calculated as Cov(Y, Z) = E[YZ] - E[Y]E[Z]. Since X is Bernoulli with parameter p and E[X] = p, we have E[Z] = pE[Y]. Hence,

Cov(Y, Z) = E[YZ] - E[Y]E[Z]

= E[YXY] - pE[Y]^2

= pE[Y^2 X] - pE[Y]^2

= p(E[Y^2]E[X] + Var[Y]p) - pE[Y]^2

= p(1 * p + 1 * p^2) - p^2

= p - p^2

It can be seen that the value of c does not affect the covariance of Y and Z.

learn more about covariance: https://brainly.com/question/21287720

#SPJ1

The dimensions of the rectangular region that will maximize the total area are 20ft x 50ft.

The goal is to find the dimensions of a rectangle that will maximize the total area when it is divided into 6 smaller rectangles.

Let the length of the rectangle be x and the width be y.

The total length of the fencing used to enclose the rectangle is 100 feet, so 2x + 2y = 100.

To divide the rectangle into 6 smaller rectangles, we need 5 partitions,

so we have x/6 = y, or y = x/6.

Substituting y = x/6 into 2x + 2y = 100 gives 2x + 2x/3 = 100, or x/3 = 50.

Solving for x, we find x = 150.

Then y = x/6 = 150/6 = 25.

The maximum area of the rectangle is 150 * 25 = 3750 square feet.

To maximize the area of the rectangular region, the width and length should be in the ratio of 1:2. This allows the rectangular region to be split into six smaller rectangles of equal area by placing five fences parallel to the width.

Learn more about maximum area of the rectangle here:

https://brainly.com/question/11790289

#SPJ4

The student council is selling t-shirts to increase awareness for the local animal shelter. For each t-shirt they sell, they will donate $5.00 to the shelter.

This means that the amount of money the student council will donate to the shelter will be directly proportional to the number of t-shirts they sell. The more t-shirts they sell, the more money they will donate to the shelter.

By selling t-shirts, they are taking a proactive step to help raise awareness and support for the local animal shelter.

Directly proportional: as one amount increases, another amount increases at the same rate. The symbol for "directly proportional" is ∝

(Do not confuse it with the symbol for infinity ∞)

To know more about Animal Awareness:

https://brainly.com/question/15080648

#SPJ4

the proportionality ratio of the given Data is solved below.

the property of having suitable proportions in terms of size, number, degree, harshness, etc. If a defensive action against an unfair attack results in destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

Given a figure where Two lines are intersecting three individual parallel lines.

Since Proportionality in Lengths is When quantities have the same relative size. In other words, they have the same ratio.

thus,

as we can observe the proportionality ratio for the given figures:

Therefore, the proportionality ratio of the given Data is solved above.

Learn more about proportionalities here:

https://brainly.com/question/3254974

#SPJ1

Answer:

The width of the walkway is 5ft long

Answer:

[tex]\mbox {\large \boxed{\sqrt[12]{v^{11} }}}\\[/tex]

Step-by-step explanation:

[tex]\textrm{We are asked to simplify\:$\dfrac{\sqrt[4]{v^9}}{\sqrt[3]{v^4}}$}[/tex]

Using the fact that [tex]\sqrt[n]{x} = n^{{1/n}}[/tex]

[tex]\mbox{\large {\sqrt[4]{v^9}} =\left(v^9)^{1/4} = v^{9/4}}\\\\[/tex]

[tex]\mbox{\large {\sqrt[3]{v^4}}} = (v^4)^{1/3} = v^{4/3}}[/tex]

[tex]\mbox{\large $\dfrac{\sqrt[4]{v^9}}{\sqrt[3]{v^4}}$}[/tex] [tex]= \mbox{\large \dfrac{v^{9/4}}{v^{4/3}}}[/tex]

Using the fact that [tex]\dfrac{x^a}{x^b} = x^{a-b}[/tex]

[tex]\mbox{\large \dfrac{v^{9/4}}{v^{4/3}} = v^{9/4 - 4/3}}[/tex]

[tex]\dfrac{9}{4} - \dfrac{4}{3} = \dfrac{9 \cdot 3 - 4 \cdot 4}{12} = \dfrac{27-16}{12} = \dfrac{11}{12}[/tex]

[tex]\mbox{\large \dfrac{v^{9/4}}{v^{4/3}} = v^{9/4 - 4/3}= v^{11/12} } = \sqrt[12]{v^{11} }}[/tex]

Answer
[tex]\mbox {\large \boxed{\sqrt[12]{v^{11} }}}\\[/tex]

if you wanted to visualize the change in the mean test score for the same exam over multiple semesters line chart will be used.

A line chart connects a number of data points with a continuous line to graphically depict the historical price movement of an item. The simplest sort of chart used in finance, it often merely shows the closing prices of a security over time.

A line chart, also known as a line graph or a line plot, uses a line to link a group of data points. This type of graph uses sequential values to show trends. The x-axis (horizontal axis) often shows a succession of numbers in consecutive order.

Know more about line chart

https://brainly.com/question/1639884

#SPJ4

Answer:

The Panthers soccer team does not like to lose because they always try to be their best. One day, they were embarrassed when all their shirts were so loose they started to fall off during a game. Guess who did not win that day?

The solutions to the equations -³/₄x + 2¹/₄ = (¹/₂)ˣ + 1 are; -1 and 1

The functions are given as:

f(x) = -³/₄x + 2¹/₄

g(x) = (¹/₂)ˣ + 1

The solution to these two simultaneous equations will be the point where they both intersect each other.

From attached graph, both functions intersect at at two coordinates that have their x-coordinates as x = -1 and x = 1

This means that- 1 and 1 represent the solutions to f(x) = g(x) or

-³/₄x + 2¹/₄ = (¹/₂)ˣ + 1

Read more about Linear Equation Solutions at; https://brainly.com/question/16863577

#SPJ1

The probability that a randomly chosen high school student who took the SAT in 2015 will have a mathematics SAT score of more than 700 points is 5.8%.

The distributed samples can be solved using the z-score formula:

We can set with mean  and standard deviation, the z-score of a measure X is given by:

[tex]Z=\frac{X-u}{sd}[/tex]

The Z-score defines how many standard deviations will be measured from the mean. After finding the Z-score, we should see the z-score table and find the p-value included with this z-score.

This p-value is the probability of the value measuring smaller than X, that is, the percentile of X. by Subtracting 1 from the p-value, we get the probability of the value of the measure is greater than X.

In this problem, we have that:

u=511 sd=120.

This is 1 subtracted by the value of Z when X = 700.

[tex]Z=\frac{X-u}{sd}\\\\Z=\frac{700-511}{120}[/tex]

Z=1.575.

Z=1.575 has a p-value of 0.942

1 - 0.942 = 0.058.

5.8% probability that a randomly chosen high school student who took the SAT in 2015 will have a mathematics SAT score of more than 700 points.

To know more about P-values:

https://brainly.com/question/16336330

#SPJ4

Yes, we would be more intrigued by looking so at mean, median, or mode for the below type of data set.

Choose the proper center measurement first, and then decide how to support your decision.

Correct center measurement

Justification:

To know more about the center measurement, here

https://brainly.com/question/15214370

#SPJ4

The correct question is-

For the following type of data set, would you be more interested in looking at the mean, median, or mode? State your reasoning.

The price of cars on a car lot-

The required complete table for the given function f(x) = 2x - 1 is given as,
  x =  1      0    -1     2
f(x) =  1     -1     -3    3

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Given function,
f(x) = 2x - 1

To complete the table,
Put x = 1
f(1) = 2(1) - 1
f(1) = 1

Similarly
f(0) = -1
f(-1) = -3
f(2) = 3

Thus, the required complete table for the given function f(x) = 2x - 1 is given as,
  x =  1      0    -1     2
f(x) =  1     -1     -3    3

Learn more about function here:

brainly.com/question/21145944

#SPJ1

The graph of a proportional relationship can be described as a graph that always starts at point zero and is always a straight line graph.

A straight line graph is defined as the type of graph that is also called a linear graph which shows a relationship between two or more quantities that uses a graphical form of representation.

There are some characteristics that shows that a graph is of proportional relationship which include the following:

Learn more about graph here:

https://brainly.com/question/25184007

#SPJ1

The equation of this circle in standard form is (x + 21)² + (y + 19)² = 849.

The center of the circle is at the point (-21, -19), and its radius is √849 units.

The general form of the equation of a circle that has the same radius as the above circle is x² + y² - 50x - 30y + 1 = 0.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²

Where:

In order to transform the general form of the equation of a circle to a standard form, you can either make use of completing the square method or convert the equation x² + y² + Dx + Ey + F = 0 to x² + y² + (-2h)x + (-2k)y + (h² + k² - r²) = 0.

By using the following expression x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0, we would determine the center (h, k) and radius of this circle as follows;

-2h = 42

h = 42/2

h = -21

-2k = 38

k = 38

k = -19

For the radius (r), we have:

-47 = h² + k² - r²

-47 = (-21)² + (-19)² - r²

r² = 849

Radius, r = √849

Read more on equation of a circle here: brainly.com/question/17028215

#SPJ1

The functions for this problem are classified as follows:

a) q(x) is an odd function.

b) r(x) is an even function.

More can be learned about odd and even functions at https://brainly.com/question/2284364

#SPJ1

Continuous random variable is a random variable that can take on a continuum of worth. In alternative words, a random variable is said to be continuous if it supposes a value that falls between a particular interval.

A continuous random variable can be described as a random variable that can take on an infinite number of possible values. Due to this, the probability that a continuous random variable will take on a fixed value is 0.

The probability density function of a continuous random variable can be explained as a function that gives the probability that the value of the random variable will drop between a range of values. Let X be the continuous random variable, then the formula for the pdf, f(x).

To know more about Continuous random variable:

https://brainly.com/question/17238189

#SPJ4

Answer: The function f(x) = √x + 4 describes a radical function that maps a real number x to its square root, shifted to the right by 4 units. The graph of this function is an upward-opening parabola that intersects the x-axis at x = -4.

Here are four points on the graph of the function:

The leftmost point: (0, 4)

An additional point to the right of the leftmost point: (1, 4.5)

Another additional point: (2, 5)

The third additional point: (9, 5.5)

Note: The values of x used in these examples are arbitrary and can be any real numbers. These points are only intended to give you an idea of what the graph of the function might look like

Step-by-step explanation:

The solution of the linear equations −2x + 3y = 15 and x + y = 10 will be (3. 7). Then the correct option is B.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The system of linear equations is given below.

−2x + 3y = 15         ....1

x + y = 10

2x + 2y = 20           ...2

Add equations 1 and 2, then we have

5y = 35

y = 7

Then the value of the variable 'x' is given as,

x + 7 = 10

x = 3

The solution of the linear equations −2x + 3y = 15 and x + y = 10 will be (3. 7). Then the correct option is B.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1