Solve the compound inequality: 4 < 3x – 1 < 20​

a. The sampling method that I would use for the given scenario is stratified random sampling.

b. The sampling method that I would use for the given scenario is systematic sampling.

Stratified random sampling is the most effective way to get accurate results in this situation. The university wants to conduct a mail survey of its alumni to collect information about their current employment status to justify charging a higher tuition rate than other universities. Stratified random sampling divides the population into strata based on certain characteristics.

In this case, strata would be the alumni that have different degrees from the university. The information collected through this method will be more representative of the population than simple random sampling. It ensures that each stratum is represented accurately in the sample. It also minimizes the variability within each stratum. It is an effective way of ensuring that each stratum is properly represented.  

Systematic sampling involves selecting every kth element from a list of the population. In this situation, the Environmental Protection Agency (EPA) wants to inspect a sample of 1000 containers from the 40,000 containers known to be in landfills to determine if leakage from the containers has occurred. As the exact location of the containers is no longer known, systematic sampling can be used.

EPA can select every 40th container from the list of the population, as 40,000/1000 = 40. In this way, they will have a random sample of 1000 containers from the 40,000 containers. This sampling method is less time-consuming and more cost-effective than other sampling methods. It also ensures the sample is representative of the entire population.

Learn more about systematic sampling here:

https://brainly.com/question/28963265

#SPJ11

A child weighing 19 pounds should receive approximately 432.7 milligrams of cough medicine in one day, assuming a dosage of 5.0 milligrams of medicine per kilogram of body weight.

Step 1: Convert the weight from pounds to kilograms.

To convert pounds to kilograms, we multiply the weight in pounds by the conversion factor 0.4536.

19 pounds × 0.4536 = 8.6184 kilograms

Step 2: Calculate the amount of cough medicine based on the dosage.

Multiply the weight in kilograms by the dosage per kilogram.

8.6184 kilograms × 5.0 milligrams/kg = 43.092 milligrams

Therefore, a child weighing 19 pounds should receive approximately 43.092 milligrams of cough medicine in one day, using the given dosage of 5.0 milligrams of medicine per kilogram of body weight.

Learn more about kilograms here:

https://brainly.com/question/29761698

#SPJ11

The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A.

The above statement is True.

Eigenvalue:

An eigenvalue is a special set of scalar values ​​associated with the most probable system of linear equations in a matrix equation. Eigenvectors are also called eigenvalues. It is a non-zero vector which can be modified by at most its scalar factor after applying a linear transformation.

According to the Question:

If the geometric multiple of the eigenvalues ​​is greater than or equal to 2, the linearly independent set of eigenvectors is no longer unique to the multiple as before. For example, for the diagonal matrix A=[3003], one could also choose the eigenvectors [11] and [1−1], or any pair of two linearly independent vectors.

Sometimes vectors are simply expanded to vector times matrix. If this happens, this vector is called the eigenvector of the matrix and the "stretch factor" is called the eigenvalue. Example: Given a square matrix A, λ is the eigenvalue of A, and the corresponding eigenvector x is

Ax = λx.

Learn more about Eigenvalue:

https://brainly.com/question/29749542

#SPJ4

The product of the slopes of two non-vertical perpendicular lines is always -1.

It is NOT possible for two perpendicular lines to both have a positive slope because the product of two positives is positive. So for the product of the slopes to be -1, one of the slopes must be positive and the other negative.

The definition of perpendicular lines is lines that intersect and at the point of intersection they form a right angle of 90°.

In determining the gradient of two mutually perpendicular when multiplied it will produce the number -1. So the formula used is:

y = mx + c

Meanwhile, the gradient formula is m1 = -1/m2.

Learn more about Perpendicular lines at

https://brainly.com/question/18271653

#SPJ4

Answer:

\( { \rm{3x + 5}}\)

• when x is 5

\({ \rm{ = (3 \times 5) + 5}} \\ \\ { \rm{ = 15 + 5}} \\ \\ = { \rm{20}}\)

Answer:

The interior angle of a regular hexagon (a hexagon in which all sides are equal in length and all angles are equal) is 120 degrees because the sum of the interior angles in any polygon can be calculated using the formula:

(n-2) * 180

where n is the number of sides in the polygon.

So for a hexagon, which has 6 sides, the formula would be:

(6-2) * 180 = 4 * 180 = 720

This means that the sum of the interior angles in a hexagon is 720 degrees. Since there are 6 interior angles in a hexagon, and the sum of all of them is 720 degrees, each angle must measure 720/6 = 120 degrees.

I hope this helps! Let me know if you have any more questions.

Step-by-step explanation:

Answer:

A) F

B) B

C) C

Step-by-step explanation:

circle AB represents sectors

circle CD represent segments

circle EF represent arcs

Answer:

The answer is B.

Step-by-step explanation:

I am taking the test on edge

Answer:

b

Step-by-step explanation:

Answer: \(527\ ft^2\)

Step-by-step explanation:

Given

Cost of paint is \(\$12.34\ \text{per gallon}\)

Dimension of room is \(11\times 13\times 8\ ft^3\)

There are five side of wall to be painted leaving only the floor

Area is given by

\(\Rightarrow 2[8\times 11+8\times 13]+11\times 13\\\Rightarrow 2\times 8[24]+143\\\Rightarrow 384+143\\\Rightarrow 527\ ft^2\)

Option-A is correct that is has a mean of 0 and standard deviation of 1 is the standardized form of the normal distribution.

Given that,

We have to find what is the standardized form of the normal distribution.

We know that,

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

Therefore, Option-A is correct that is has a mean of 0 and standard deviation of 1 is the standardized form of the normal distribution.

To learn more about distribution visit: https://brainly.com/question/29062095

#SPJ4

Given the logistic growth model

we want to find the initial amount of bacteria in this problem. If we are talking about the initial amount, we have t = 0 since time doesn't lapse yet for the growth of the bacteria. Hence, for t = 0, the amount of bacteria will be

Answer:

365/1,000 or .365

Step-by-step explanation:

HTH :)

Three hundred sixty five thousand in standard form is 365000.

The standard form of numbers is when we have to write the number in digits according to it's place and face value.

Word form of numbers is that when we have to write numbers given in numerical form to words by determining place and face value.

According to the given question we have to write  three thousand sixty five thousand in standard form.

We know thousand has three zeroes.Suppose we have to write one thousand in standard form which is 1000.

Given we have to write three hundred sixty five thousand in standard form which is 365000.

learn more about numbers here :

https://brainly.com/question/17264364

#SPJ2

246 (approx) is the minimum sample size when we want to construct.

What does a statistical sample distribution mean?

The process of regularly sampling a certain population yields a sampling distribution, which is an accurate probability distribution of a statistic. It displays a range of possible outcomes for a statistic, such as the mean or mode of a variable for a population. With each selected random sample, a different value may be assigned to the statistic under inquiry.

MOE = z*s.d/√(n)

95% CI, z = 1.96

s.d = √(0.64*0.36) = 0.48

0.06 = 1.96*0.48/√(n)

So n = 245.86 = 246 (approx)

Learn more about  sampling distribution

brainly.com/question/13501743

#SPJ1

Answer:

  III, II, IV, I

Step-by-step explanation:

One way to look at this is as an ordering problem.

You can't put the compass point at X until you have drawn point X. (III comes before IV -- eliminates A and C)

You can't label the intersection point until you have drawn the arc. (IV comes before I -- eliminates D)

The only reasonable ordering is that shown in B: III, II, IV, I.

Answer:

20

Step-by-step explanation:

i did this on a hw equation

Answer:

28

Step-by-step explanation:

4=5

?=35

35×4 ÷5

140÷5

=28

Answer:

A. and D.

Step-by-step explanation:

Hey there!

In order to to find the point at which these two equations intersect at, you need to first rewrite the equations if needed so that they are in the form:

\(y=mx+b\)

or

\(y=ax^2+bx+c\)

The first equations needs to be rewritten

\(3x+5=y+4x\)

make \(y\) by itself

\(3x+5-4x=y\)

Simplify LHS

\(y=-x+5\)

Now we have it in slope-intercept form

Looking at the equation, we can tell that the slope of the line is \(-1\) and the y-intercept is 5

Now you can graph this equation easily (image down below)

The second equation is already in form so there is no need to rewrite anything

We can go straight to graphing (image down below)

Now plot both equations on the same graph (image down below)

Answer:

When you need to convert a mixed number into a whole number followed by a decimal, simply keep the whole number, then perform the division indicated by the fraction to figure out what goes to the right of the decimal point.

The overall percentage increase in price is 1.5, which means that the price of the solution has increased by 150%. This means that if the original price of the solution was $300, the new price after the increase would be $750.To find the overall percentage increase in price, we need to use the ratio of ingredients a and b, which is 2:1.

This means that for every 2 units of ingredient a used, 1 unit of ingredient b is used.

Let's assume that the original unit price of ingredient a was $100 and the original unit price of ingredient b was $200. After the increase, the unit price of ingredient a would be $110 (10% increase) and the unit price of ingredient b would be $250 (25% increase).

To find the overall percentage increase in price, we need to calculate the weighted average of the two ingredients based on their ratios. This can be done by multiplying the percentage increase in each ingredient by its weight in the ratio and adding them together.

The weighted average percentage increase in price can be calculated as follows:

[(2/3) x 10%] + [(1/3) x 25%] = (20/30) + (25/30) = 45/30 = 1.5

Therefore, the overall percentage increase in price is 1.5, which means that the price of the solution has increased by 150%. This means that if the original price of the solution was $300, the new price after the increase would be $750.

learn more about percentages here: brainly.com/question/29142213

#SPJ11

Answer:

mdndmdkdkdkdkd

Step-by-step explanation:

kdkdkdjfjfk

Data:

• 5 males

• 8 females

• Just 1 male and 1 female will be chosen.

Procedure:

• Number of ways for 1 male:

• Number of ways for 1 female:

• Number of ways to select one female and one male:

Answer: 40

The exact values of the trigonometric ratio sinθ, cosθ, tanθ, cscθ, secθ and cotθ are 4/5, 3/5, 4/3, 5/4, 5/3 and 3/4 respectively.

The figure in the image is right triangle.

To find the trigonometric values, we use the trigonometric ratio.

Sine = Opposite / Hypotenuse

sinθ = 4/5

Cosine = Adjacent / Hypotenuse

cosθ = 3/5

Tangent = Opposite / Adjacent

tanθ = 4/3

Cosec = 1/sin

cscθ = 1/sinθ

cscθ = 1/(4/5)

cscθ = 5/4

sec = 1/cos

secθ = 1/cosθ

secθ = 1/(3/5)

secθ = 5/3

cot = 1/tan

cotθ = 1/tanθ

cotθ = 1/(4/3)

cotθ = 3/4

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

Answer:

29 = (x/12) +6

Step-by-step explanation:

29 is the final result, so setting it up, you would be dividing the unknown number by 12 and then adding 6 to get 29. To find x you would do the reverse and subtract 6 from 29 and then multiply by 12

The sum of two monotonically increasing functions, h(x) = f(x) + g(x), is also monotonically increasing.

To prove that the sum of two monotonically increasing functions is also monotonically increasing, we can use the concept of the derivative. Let's assume that both functions, f(x) and g(x), are defined on the interval I.

First, let's consider the function h(x) = f(x) + g(x). To prove that h(x) is monotonically increasing, we need to show that h'(x) ≥ 0 for all x in the interval I. Here, h'(x) represents the derivative of h(x).

Using the sum rule of derivatives, we have:

h'(x) = [f(x) + g(x)]'

By applying the rule to each term separately, we get:

h'(x) = f'(x) + g'(x)

Since both f(x) and g(x) are monotonically increasing, their derivatives, f'(x) and g'(x), are both non-negative for all x in the interval I.

Now, let's consider any two points a and b in the interval I such that a < b. We want to show that h(a) ≤ h(b) to prove that h(x) is monotonically increasing.

By integrating h'(x) over the interval [a, b], we obtain:

∫[a to b] h'(x) dx = ∫[a to b] [f'(x) + g'(x)] dx

Using the linearity of integration, we can split the integral into two parts:

∫[a to b] f'(x) dx + ∫[a to b] g'(x) dx

Since both f'(x) and g'(x) are non-negative on the interval [a, b], their integrals over the same interval will also be non-negative:

∫[a to b] f'(x) dx ≥ 0 and ∫[a to b] g'(x) dx ≥ 0

Therefore, the sum of these integrals is also non-negative:

∫[a to b] f'(x) dx + ∫[a to b] g'(x) dx ≥ 0

This implies that:

∫[a to b] [f'(x) + g'(x)] dx ≥ 0

Applying the fundamental theorem of calculus, we find that:

h(b) - h(a) = ∫[a to b] h'(x) dx ≥ 0

Since h(b) - h(a) is non-negative for any two points a < b in the interval I, we conclude that h(x) is monotonically increasing.

Learn more about monotonically from:

https://brainly.com/question/7912882

#SPJ11

Answer:

1,317

Step-by-step explanation:

Answer:

c?

Step-by-step explanation:

Stem-and-leaf plots contain original data values where histograms do not. Therefore, option B is the correct answer.

The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.

The "stem" is used to group the scores and each "leaf" shows the individual scores within each group.

The advantage of a stem leaf diagram is it gives a concise representation of data. The advantage of a frequency histogram is, that it is visually strong. Histograms are usually preferable to stem and leaf diagrams in large data sets. The disadvantage of a stem leaf diagram is not visual.

Therefore, option B is the correct answer.

Learn more about the stem-and-leaf plot here:

https://brainly.com/question/12857419.

#SPJ2

Answer:

I don't know if I can you go outside and I can go to the store and get a little

Hello there! (:

y-y1=m(x-x1)

y-3=6(x-8)

Hope it helps!

#CarryOnLearning

\(SparklingFlower\)