cual es el interes que genera $600, colocados al 8% anual durante 1 año 4 meses?

Answer:

(-8,5) those are your new coordinates

a)  The probability that exactly 3 houses will be sold in the next 4 weeks is approximately 0.14.

(b)  The probability that more than 2 houses will be sold in the next 4 weeks is approximately 0.3233

For this question, we need to use Poisson distribution. Poisson distribution is used to find the probability of the number of events occurring within a given time interval or area.

Here, the average number of houses sold by an estate agent is 2 per week.

Let us denote λ = 2. Thus, λ is the mean and variance of the Poisson distribution.

(a) Exactly 3 houses will be sold.

In this case, we need to find the probability that x = 3, which can be given by:

P(X = 3) = e-λλx / x! = e-2(23) / 3! = (0.1353) ≈ 0.14

Therefore, the probability that exactly 3 houses will be sold in the next 4 weeks is approximately 0.14.

(b) More than 2 houses will be sold.

In this case, we need to find the probability that x > 2, which can be given by:

P(X > 2) = 1 - P(X ≤ 2)

Here, we can use the complement rule. That is, the probability of an event happening is equal to 1 minus the probability of the event not happening.

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)=

e-2(20) / 0! + 2(21) / 1! e-2 + 22 / 2! e-2

= (0.1353) + (0.2707) + (0.2707) = 0.6767

Therefore, P(X > 2) = 1 - P(X ≤ 2) = 1 - 0.6767 = 0.3233

Therefore, the probability that more than 2 houses will be sold in the next 4 weeks is approximately 0.3233, which is around 0.32 (rounded to two decimal places).

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Answer:

(-1,8)

Step-by-step explanation:

use formula

A(x,y) = A'(-y , -x)

coordinate point is

(-8,1)=(-1,8)

therefore the image of the (-8,1) after a reflection over the line y=-x is (-1,8)

Answer:

A'(-1,8)

Step-by-step explanation:

Initial point A(-8,1)

reflection about y=-x has the rule

x, y -> (-y, -x)

So

A(-8,1) -> A'(-1,8)

Answer:

Step-by-step explanation:

sinx=.342

then x is just so simple

\(x=sin^{-1} (.342)\\\\\)

put that in a calculator or something

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:

1

Step-by-step explanation:

so you want to input the numbers into variables so for (p+q)^2 you input p as 4 and q as 8 (4+8)^2 and then you add 4+8 which is 12. Then you have to do 12 to the power of 2 which is 12x12 and the answer to that is 144. For the bottom you input p as 4 and then for -2q you have to input the 8, -2(8) and that equals to -16 so then it's 4-16 so it equals to -12. Then you have to do -12 divided by 12 which equals to 1.

Answer:

I'm not 100% sure what this question is asking

Step-by-step explanation:

It looks like the triangle with the ' above each letter is a transformation from the blue triangle. In other words, the this transformation shows the original triangle being moved one space down and two spaces left.

False. A trigonometric equation with an infinite number of solutions is not necessarily an identity.

A trigonometric identity is an equation that holds true for all values of the variables involved. It is a fundamental property of trigonometric functions. On the other hand, a trigonometric equation with an infinite number of solutions means that there are multiple values of the variables that satisfy the equation, but it doesn't imply that the equation is true for all values.

For example, the equation sin(x) = 0 has an infinite number of solutions, which are x = 0, π, 2π, 3π, and so on. However, this equation is not an identity because it is not true for all values of x. It is only true when x is an integer multiple of π.

Therefore, it is important to distinguish between trigonometric identities that hold true for all values and trigonometric equations that have an infinite number of solutions but may not be true for all values.

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Answer:

see explanation

Step-by-step explanation:

(a)

given the arithmetic series 5 + a + 14 + b

the difference between consecutive terms is constant , that is

a₂ - a₂ = a₃ - a₂ ( substitute values )

a - 5 = 14 - a ( add a to both sides )

2a - 5 = 14 ( add 5 to both sides )

2a = 19 ( divide both sides by 2 )

a = 9.5

then

a₄ - a₃ = a₂ - a₁

b - 14 = a - 5 = 9.5 - 5 = 4.5 ( add 14 to both sides )

b = 18.5

(b)

the sum to n terms of an arithmetic series is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 5 and d = a₂ - a₁ = 14 - a = 14 - 9.5 = 4.5 , then

S₁₀ = \(\frac{10}{2}\) [ (2 × 5) + (9 × 4.5) ]

     = 5(10 + 40.5)

     = 5 ×  50.5

     = 252.5

(c)

\(S_{n}\) > 500 , that is

\(\frac{n}{2}\) (50.5) > 500 ( multiply both sides by 2 )

50.5n > 1000 ( divide both sides by 50.5 )

n > 19.80198... , that is

n = 20

The least distance traveled is \($240\sqrt{3}$\) feet.

Each boy shakes hands with the two boys who are not adjacent to him on the circle. Since there are six boys in total, each boy shakes hands with four other boys. We can represent these handshakes on a graph, where the six vertices represent the six boys and the edges represent the handshakes. Each vertex has degree 4, meaning that there are 12 edges in total.

To minimize the distance traveled, each boy should simply walk directly across the circle to shake hands with the two boys on the opposite side. This way, each boy walks a distance equal to the diameter of the circle, which is \(2 \times 40 = 80$ feet.\)

Since there are six boys, the total distance traveled is \(6 \times 80 = 480$ feet\). However, we have counted each handshake twice, so we need to divide by 2 to get the total distance traveled. This gives us \(240$ feet.\)

To express this answer in the simplest radical form, we can use the fact that an equilateral triangle with side length \(s$\) has height \(s\sqrt{3}/2$\). The six handshakes form an equilateral triangle with side length 80, so its height is \(80\sqrt{3}/2 = 40\sqrt{3}$ feet\). Therefore, the total distance traveled is \(240\sqrt{3}$\) feet.

Therefore, the correct answer is \(240\sqrt{3}$\)feet.

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Answer:

x=12

Step-by-step explanation:

_-----------------------

Question 4: Laura applies for the position of ambulance medic. To give her a job simulation (behavioral interview) screening test, the interviewer...

This question involves providing a job simulation or behavioral interview, which allows the interviewer to observe how the candidate performs in a simulated work situation. This type of question assesses the candidate's skills, abilities, and behavior in a real or simulated work scenario, providing a more accurate evaluation of their capabilities for the job.

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Answer:

See below.

Step-by-step explanation:

"Part A:

(1,5.5)

(2,5)

(3,4.5)

(4,4)

(5,3.5)

(6,3)

Every hour (x value) I subtracted 0.5 from the candle height (y value) since it burns at 0.5 inches per hour.

Part B:

Yes, this is a function because there is a constant relationship between the input and the output.

Part C:

Yes, this will continue to be a function because there is still a constant relationship, even though its different than the first one.

(1,5.7)

(2,5.4)

(3,5.1) ect."

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-hope it helps

On solving the provided query we have Therefore, assuming that order equation counts, there are 20,736 different ways to arrange 12 different books on four shelves.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

Using the permutation formula with repetition, we can determine how many different ways there are to arrange 12 books on 4 shelves.

\(n^r\)

where r is the number of empty spaces to be filled (in this example, 4 shelves) and n is the number of options to select from (12 distinct books in this case).

\(12^4 = 20,736\)

Therefore, assuming that order counts, there are 20,736 different ways to arrange 12 different books on four shelves.

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Answer:

C

Step-by-step explanation:

f(x) =0

when the curve intersects the x axis

goodluck :)

Step-by-step explanation:

- A single coin is known to have 2 sides (The head H and the tail T).

The total number of sample space for n number of coins is expressed as 2ⁿ where

n is the total number of coins flipped.

If a single coin is flipped four times, the total outcome will be expressed as;

2⁴ = 16

Hence there are 16 different possible outcomes.

- To construct the sample space (the 16 possible outcomes)

For one flipped coin, the sample space is represented by the set S₁

S₁ = {H, T}

H is Head

T is Tail

For two flipped coin, the sample space is represented by the set S₂

S₂ = S₁×S₁

S₂ = {H, T}×{H,T}

S₂ ={HH, HT, TH, TT}

For three flipped coin, the sample space is represented by the set S₃

S₃ = S₂×S₁

S₃ = {HH, HT, TH, TT}×{H,T}

S₃ = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

For four flipped coin, the sample space is represented by the set S₄

S₄ = S₃×S₁

S₄ = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}×{H,T}

S₄ ={HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}

Hence the sample space for a single coin flipped 4times is given by the set;

S₄ ={HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}  where;

n(S₄) = 16

The corresponding angle to angle 9, according to the figure  is

angle 11

Corresponding angles are a pair of angles that are formed on the same side of a transversal line and in the same relative position with respect to the parallel lines being intersected by the transversal.

In simpler terms corresponding angles are formed when a line crosses two parallel lines  and the angles are in corresponding positions on each of the parallel lines.

Using the figure, the parallel lines are l and m and angle 9 and angle 11  are at the vertex of he triangles formed.

The two triangles formed are congruent (parallel lines l and line m ensures equal length of sides), According  to CPCTC theorem

angle 9 ≅ angle 11

angle 20 ≅ angle 6

angle 16 ≅ angle 7

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complete question

What is/are two corresponding angles to angle 9?

If comparing means of two groups with equal sample sizes, always use a paired test. The statement is false.

A paired test is used when each observation in one sample is paired with a corresponding observation in the other sample. This pairing can occur naturally (e.g. before and after treatment in a clinical trial) or can be done by matching subjects based on relevant characteristics. Paired tests have greater power to detect differences between groups because they account for the individual variability in the observations and reduce the influence of extraneous factors that affect each observation similarly. However, they are only appropriate when there is a natural pairing or matching of observations. If the samples are independent, meaning that the observations in one sample are not paired with the observations in the other sample, then a paired test is not appropriate. In this case, an independent sample t-test is used to compare the means of the two groups. The sample size does not determine whether a paired test or an independent sample t-test should be used; rather, it depends on the nature of the observations and the research question being investigated.

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Answer:

D) x + y = 20

9x + 6y = 168

Step-by-step explanation:

x, y, is in pound, the weight

$168 is money, $9, $6

thankss for the point and i appreciate if mark my answer as brainliest <3

Answer:

Step-by-step explanation:

Given:

Required equations:

The square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500 square mils.

To find the square mil area for a 2 inch wide by 1/4 inch thick copper busbar, we need to multiply the width and thickness of the busbar in mils.

1 inch = 1000 mils

So, the width of the busbar in mils = 2 inches x 1000 mils/inch = 2000 mils

And, the thickness of the busbar in mils = 1/4 inch x 1000 mils/inch = 250 mils

Therefore, the square mil area of the copper busbar = width x thickness = 2000 mils x 250 mils = 500,000 square mils.

Hence, the square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500,000 square mils.

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The smallest number of eggs that could have been in the box is 1134

The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:

Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:

n ≡ 1 (mod 2)

n ≡ 1 (mod 3)

n ≡ 1 (mod 4)

n ≡ 1 (mod 5)

n ≡ 1 (mod 6)

n ≡ 0 (mod 7)

For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.

Plugging these values into the formula and simplifying modulo 5040, we get:

n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040

n = (−8946) mod 5040

n = (−3906) mod 5040

n = 1134 mod 5040

Therefore, the smallest number of eggs that could have been in the box is 1134

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Answer:

0.9

Step-by-step explanation:

The area of the figure is 528units²

The space enclosed by the boundary of a plane figure is called its area. The area is measured in square units.

The figure contains several rectangles by dividing it into different shapes.

The first part is a rectangle;

area = l×w

= 16×8 = 128 units²

for the second part ;

area = l× w

= 8× 24

= 192 units²

for the third part

The area of the whole rectangle

= l×w

= 8× 24

= 192 units²

area of the cut out section

= 12 × 4 = 48 units²

Therefore area of the figure = 128+192+192-48

= 528 units²

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Using the speed formula we know that the speed of the runner is 7.55 m/s.

Speed is calculated as follows: speed = distance/time.

Knowing the units for distance and time is necessary to calculate the units for speed.

The units will be in meters per second (m/s) in this example since the distance is measured in meters (m) and the time is measured in seconds (s).

For instance, if a car drives 120 miles in 2 hours, we may calculate the speed as 120 x 2 = 60 miles per hour.

So, we know that the speed formula is:

Speed = distance/time

Distance = 275-50 = 225 meters

Time = 29.8 sec

Now, place the values in the formula as follows:

Speed = distance/time

Speed = 225/29.8

Speed = 7.55 m/s

Therefore, using the speed formula we know that the speed of the runner is 7.55 m/s.

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Answer:

The elevation of town B is = -91

Step-by-step explanation:

From the question, we have the elevation of twin A as -13

The elevation of town B is 7 times lower than this

The equation representing this is as follows;

Elevation of town B = 7 * (-13)

= -91

Answer:

Yes it would be.

Greetings from Brasil...

We have a true sentence because:

4 + 5 = 2 + 7

and really nine is equal to nine

9514 1404 393

Answer:

  3.16 or -3.16

Step-by-step explanation:

Add 10 and take the square root.

  x^2 = 10

  x = ±√10 ≈ ±3.16

x is 3.16 or -3.16

The null hypothesis states that the population mean is equal to 100.

You want to know which statement represents the null hypothesis for a researcher testing if the mean IQ at a university is different from the average of 100.

The mean of this sample is 103.6 and the standard deviation is 15.0

The null hypothesis (H0) states that the population mean is equal to 100. This is because the null hypothesis typically represents the assumption of no difference or no effect.

To summarize, for this research question, the null hypothesis states that the population mean is equal to 100.

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Answer:

26!

Step-by-step explanation:

let's firstly convert the mixed fraction to improper fraction.

\(\stackrel{mixed}{4\frac{1}{3}}\implies \cfrac{4\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{13}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{13}{3}\cdot 6\implies \cfrac{13}{3}\cdot \cfrac{6}{1}\implies \cfrac{13}{1}\cdot \cfrac{6}{3}\implies \cfrac{13}{1}\cdot\cfrac{2}{1}\implies \text{\LARGE 26}\)