Credit card payment terms. paul's credit card closes on the 6th of the month, and his payment is due on paul’s credit card closes on the 6th of the month, and his payment is due on the 24th. if paul purchases a stereo for $300 on june 8th,


how many interest-free days will he have? when will he have to pay for the stereo in full in order to avoid finance charges? (hint: assume that paul pays off his credit


card each month.)


if paul purchases a stereo for $300 on june 8th, the number of interest-free days he will have is i. (round to the nearest whole number.)

a. The probability that between 59 and 61 passengers arrive in 2 minutes can be calculated using the Poisson distribution. The Poisson distribution describes the probability of a given number of events occurring within a fixed interval of time or space, given the average rate of occurrence. In this case, the rate is 30 passengers per minute.

To calculate the probability, we need to find the cumulative probability of 59, 60, and 61 passengers. Let's denote λ as the average rate:

P(59 ≤ X ≤ 61) = P(X = 59) + P(X = 60) + P(X = 61)

              = (λ^59 * e^(-λ)) / 59! + (λ^60 * e^(-λ)) / 60! + (λ^61 * e^(-λ)) / 61!

Substituting the rate of 30 passengers per minute into λ, we get:

P(59 ≤ X ≤ 61) = (30^59 * e^(-30)) / 59! + (30^60 * e^(-30)) / 60! + (30^61 * e^(-30)) / 61!

b. To find the expected number of passengers arriving in 1 hour, we can use the formula for the mean of a Poisson distribution. The mean is equal to the rate of occurrence (λ) multiplied by the length of the interval. In this case, the rate is 30 passengers per minute, and the interval is 60 minutes:

Expected number of passengers = λ * interval

                            = 30 passengers/minute * 60 minutes

                            = 1800 passengers

Therefore, we can expect approximately 1800 passengers to arrive at the main train station in Hamburg in 1 hour.

c. The distribution of passenger interarrival times follows an exponential distribution. The exponential distribution models the time between events occurring in a Poisson process. It is characterized by a single parameter, λ, which represents the average rate of occurrence.

In this case, the average rate is 30 passengers per minute. Therefore, the distribution of passenger interarrival times follows an exponential distribution with a parameter of λ = 30.

d. The expected inter-arrival time between consecutive passengers can be calculated using the formula for the mean of an exponential distribution. The mean inter-arrival time (μ) is equal to the reciprocal of the rate (λ) in the exponential distribution.

Expected inter-arrival time = 1 / λ

                         = 1 / 30 minutes

                         = 0.0333 minutes (or approximately 2 seconds)

Therefore, we can expect an average inter-arrival time of approximately 0.0333 minutes (or 2 seconds) between consecutive passengers.

e. To find the probability that there are more than 5 seconds between the arrivals of two passengers, we can use the cumulative distribution function (CDF) of the exponential distribution. The CDF gives the probability that the inter-arrival time is less than or equal to a given value. In this case, we want the probability of an inter-arrival time greater than 5 seconds.

P(X > 5 seconds) = 1 - P(X ≤ 5 seconds)

                = 1 - (1 - e^(-λ * 5))

Substituting the rate of 30 passengers per minute into λ, we get:

P(X > 5 seconds) = 1 - (1 - e^(-30 * 5))

By calculating this expression, we can find the probability that there are more than 5 seconds between the arrivals of two passengers.

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V2 = (6/0.1)×100 = 600 gallons, V1 = 100 gallons, Rin = 5 gallons/min, and Rout = 5 gallons/min. T = (V2 – V1)/(Rin – Rout) where T is the time, V2 is the final volume, V1 is the initial volume.

The amount of salt in a 100 gallon tank filled with a salt solution can be calculated using the equation: V = (M/C) × 100 where V is the volume of the salt solution, M is the mass of the salt, and C is the concentration of the salt. In this case, M is 10 lbs and C is 0.1 lbs/gal. Therefore, V is 100 gallons. When pure water is pumped in at a rate of 5 gallons per minute and pumped out at the same rate, the concentration of the salt will decrease as the volume of the salt solution decreases. To calculate how many minutes it will take the amount of salt to drop to 6 lbs, we can use the following equation: T = (V2 – V1)/(Rin – Rout) where T is the time, V2 is the final volume, V1 is the initial volume, Rin is the rate of inflow, and Rout is the rate of outflow. In this case, V2 = (6/0.1)×100 = 600 gallons, V1 = 100 gallons, Rin = 5 gallons/min, and Rout = 5 gallons/min

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Answer:

12.5

Step-by-step explanation:

-3\4÷[-0.06]

convert -0.06to fraction

-3\50

then divide

-3\4÷-3\50

sign changes

-3\4 ÷ 50\3

=50\4

=12.5

The translated triangle is A'B'C', and its vertices are (-3, -1), (-3, -5), and (-1.5, -5). (option b)

To translate the triangle two units to the left, we need to subtract 2 from the x-coordinates of each vertex, while leaving the y-coordinates unchanged. This is because moving the triangle left means we're decreasing its x-values.

So, let's apply this transformation to each point.

The first point, (-1, -1), becomes (-1 - 2, -1), which simplifies to (-3, -1).

The second point, (-1, -5), becomes (-1 - 2, -5), or (-3, -5).

The third point, (0.5, -5), becomes (0.5 - 2, -5), or (-1.5, -5).

These new coordinates give us the vertices of the triangle after it has been translated two units to the left.

Now that we have the new vertices, we can label them A', B', and C' to distinguish them from the original vertices. So, the translated triangle is A'B'C', and its vertices are (-3, -1), (-3, -5), and (-1.5, -5).

This is the second option in the answer choices given.

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Answer:

4/2

Step-by-step explanation:

A rational number is the ratio of two whole numbers, where the second one is not equal to zero. Integers are a subset of Rational Numbers because all Integers are Rational Numbers.

4/2 is an integer and a rational number

4/3 is not an integer.

Integers are a subset of rational numbers.

 Total volume of the salt shaker is 56.52+706.5=763.02 cm³

The volume of a Right Circular Cylinder. In general, the volume of a right cylinder is the area of the base times the height of the cylinder. The area of the circular base is given by the formula A = πr2. Substitute to get V = πr²h.

Given here: The volume of a salt shaker  

The radius of the salt shaker which is 5 cm

Thus the volume of the cylinderical salt shaker is = π×3²×5²

                                                                                  =706.5 cm³

and the volume of the hemisphere at the top is=  (2/3)πr³

                                                                               =56.52 cm³

Hence, Total volume of the salt shaker is 56.52+706.5=763.02 cm³

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The complete question is Which is a better estimate for the volume of a salt shaker? where radius =3 cm and height =5 cm

The expression represents the number of coins Arthur is x + 80 cents.

The term expression in math refers a sentence with a minimum of two numbers or variables and at least one math operation.

Here we have given that Arthur has x pennies. His father gave him 6 dimes, and his mother gave him 4 nickels.

And we need to find expression represents the number of coins Arthur has now.

From the given question, here we have to convert the pennies, dimes and nickels into same unit before adding to get the expression for the number of coins Arthur will have in total.

AS we know that one penny = 1 cent, one dime = 10 cents, one nickel = 5 cents and

Therefore, x pennies = x cents

Then 6 dimes = 60cents

Then 4 nickels = 20 cents

Therefore, the Arthur's coins in total is written as,

=> (x + 60 + 40) cents

=> (x + 80) cents.

Therefore, the resulting expression is written as (x + 80) cents.

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Answer: G

Step-by-step explanation:

Since Jody bought envelopes at 9:00 a.m. and left his stamps at the library, it is safe to assume he was after that 9:00 a.m.

The post office opening at noon is not directly relevant to when Jody was at the library.

Therefore, the correct answer would be:

G) between 9:00 a.m. and 12 noon.

Based on the information, this is the most reasonable time frame for Jody to have been at the library.

Answer: 10

Step-by-step explanation:

6-5 = 1

-2 x 1 = -2

-2 x -5 = 10

The critical value of t with df as 7 is 2.36, and the critical value of t with df as 102 is 2.62

In a hypothesis test, the critical value is a value that is used to decide whether to accept the null hypothesis or not. It is based on the level of significance that was selected, which is the highest likelihood that a Type I error could occur.

a)

On referring to the t-distribution table, which is statistical software, or a calculator to find the critical value of t for a 95% confidence interval with degrees of freedom (df) = 7. The two-tailed confidence level of 0.95 is the essential value. We discover that the crucial value of t for a 95% confidence interval with df = 7 is roughly 2.365 using a t-distribution table or program.

b)

The t-distribution table, statistical software, or a calculator are used in a similar manner to estimate the critical value of t for a 99% confidence interval with df = 102. The crucial value is equal to the 0.99 two-tailed confidence level. The crucial value of t for a 99% confidence interval with df = 102 is roughly 2.62, according to a t-distribution table or computer programme.

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Answer:

y=-2 if 2y+4=0

Step-by-step explanation:

Generally when solving for variables there should always be a equation, and this is an expression so there is no correct answer. But if this expression is equal to 0 you would solve it like this:

2y+4=0

-> Carry the 4 to the other side

2y=-4

-> Divide expression by 2 to get y alone

y=-2

Answer:

2y + 4 = 0. y = -2.

So this is the answer

The scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

A dilation is a stretch or a shrink in the size and location of a figure or point.

The scale factor in a dilation is the amount by which the figure is stretched or shrunk.

The center of dilation is a reference point used to appropriately scale the dilation of a figure. Given a point on the pre-image, \((x_1, y_1)\)and a corresponding point on the dilated image \((x_2, y_2)\)and the scale factor,

k, the location of the center of dilation, \((x_0,y_0)\) is

\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\)

Hence, the scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

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Answer:

\(\angle N\cong \angle Z\)

Step-by-step explanation:

Given:

In ΔLMN and ΔXYZ, \(MN=3\,,\,LN=2\,,\,YZ=9\,,\,XZ=6\)

To find: criteria that needs to be shown to prove ΔLMN \(\sim\) ΔXYZ using SAS similarity theorem

Solution:

According to SAS Similarity Theorem, if two sides in one triangle are proportional to two sides in another triangle and the included angle between the sides are congruent, then the two triangles are said to be similar.

In ΔLMN and ΔXYZ,

\(\frac{LN}{XZ}=\frac{2}{6}=\frac{1}{3}\\\frac{MN}{YZ}=\frac{3}{9}=\frac{1}{3}\\\therefore \frac{LN}{XZ}=\frac{MN}{YZ}\)

So, ΔLMN \(\sim\) ΔXYZ by SAS similarity theorem if \(\angle N\cong \angle Z\)

For both triangles to be proven to be similar by the SAS similarity theorem, the additional information needed to be shown is a pair of congruent included angles, which is: a. ∠N ≅ ∠Z

The SAS Similarity Theorem states that two triangles are similar to each other if they have two pairs of corresponding sides that are proportional to each other and a pair included angles that are congruent.

△LMN and △XYZ have:

two pairs of corresponding sides that are proportional (YZ/MN = XZ/LN = 3)

Therefore, for both triangles to be proven to be similar by the SAS similarity theorem, the additional information needed to be shown is a pair of congruent included angles, which is: a. ∠N ≅ ∠Z

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The fundamental theorem of arithmetic states that every natural number greater than 1 can be written as a product of primes. Using strong induction, we can prove this.

Let's proceed with the strong induction proof. We start by considering the base case, where m = 2. Since 2 is prime, it can be written as a product of primes itself.

Next, we assume that for all natural numbers k such that 2 ≤ k ≤ m, the statement holds true, i.e., k can be expressed as a product of primes. Now, we aim to prove that m+1 can also be expressed as a product of primes.

We know that m+1 is either prime itself or composite. If m+1 is prime, then it can be written as a product of a single prime, satisfying the theorem.

On the other hand, if m+1 is composite, it can be written as a product of two positive integers a and b, where 2 ≤ a ≤ b ≤ m. Since a and b are both less than or equal to m, we can apply the inductive hypothesis to express a and b as products of primes. Therefore, we can write m+1 as a product of primes by combining the prime factorizations of a and b.

By strong induction, we have shown that for any natural number m greater than 1, it can be expressed as a product of primes. This completes the proof of the fundamental theorem of arithmetic.

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An algebraic expression like (3+5) x (4-1) is a combination of numbers and at least one operation.

The total expected time taken for the ant to reach the farthest corner of the cube is E(Total) = √3 + E(T) = √3 + 1.

The ant has to travel along the surface diagonal of the cube to reach the farthest corner, which is a distance of √3. Since the ant moves with constant speed 1, the time taken to reach the farthest corner is simply the distance divided by the speed, i.e., t = √3/1 = √3. However, since the ant can only move along the edges of the cube and each edge has length 1, the ant has to make a series of right-angled turns to reach the farthest corner. The probability of the ant taking each of the three possible directions (x,y,z) is 1/3. Since each right-angled turn takes the ant 1 unit of time, the expected time taken to make the three turns is E(T) = 3(1/3) = 1. Therefore, the total expected time taken for the ant to reach the farthest corner of the cube is E(Total) = √3 + E(T) = √3 + 1.

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Answer:

86$

Step-by-step explanation:

Answer:

187*

Step-by-step explanation:

167 plus 20 is 187

hope this helps

Answer:

m∡AOC is 147 degrees

Step-by-step explanation:

m∡AOB = m∡AOC + m∡COB

Subtract m∡COB from both sides.

m∡AOB - m∡COB = m∡AOC

167° - 20° = m∡AOC

147°  =  m∡AOC

The independent variable in either a before/after t-test or a within-subjects ANOVA is always measured on a nominal or categorical scale.

This is because these statistical tests are used to compare means of two or more related groups, where the independent variable represents the different conditions or time points in which the dependent variable is measured.

For example, in a before/after t-test comparing the effectiveness of a medication, the independent variable would be the two time points (before and after), which are categorical in nature. Similarly, in a within-subjects ANOVA comparing three different treatment conditions, the independent variable would be the three treatment conditions, which are nominal in nature.

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Answer:

x=9

Step-by-step explanation:

Subtract 8 from both sides.

−5x=−37−8

Subtract 8 from −37 to get −45.

−5x=−45

Divide both sides by −5.

x= -45/-5

Divide −45 by −5 to get 9.

x=9

Answer:

9

Step-by-step explanation:

Step 1:

8 - 5x = - 37       Equation

Step 2:

8 = - 37 + 5x     Add 5x on both sides

Step 3:

45 = 5x      Add 37 on both sides

Step 4:

x = 45 ÷ 5     Divide

Answer:

x = 9

Hope This Helps :)

Answer:

y =   –3 x +   (–0.25)

Step-by-step explanation:

Well, the edge thing said it was right.

Answer:

y =   –3 x +   (–0.25)

Step-by-step explanation:

just finished the thing on edge 2021

The solution of the inequality is, x ∈ (- ∞, 5) ∪ (10, ∞)

Where, x represent the number of totts.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

My friend Raw has either no more than 5 toots and more than 10 toots.

Now, Let number of toots = x

Hence, We get;

⇒ x < 5

And, x > 10

Thus, The solution of the inequality is,

⇒ x ∈ (- ∞, 5) ∪ (10, ∞)

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Let the original price of the item be X.

In one week, the price is halved and becomes (1/2)X.

In two weeks, the price is halved again and becomes (1/4)X, which is only 75% off.

Answer:

By showing your work, you can do 18 divided by 15 to see what the answer would be then you can get the answer then divide the answer by 2.5 which will give you the answer to h.

Hope it helps..

The ounces of soda consumed by an adult next month are examples of a discrete random variable,  False

A discrete random variable are known as counts. This is because it takes on only a countable number of distinct values. This means a random variable can only be considered to be discrete if it can take on values that are countable in an interval, otherwise it can be continuous.

Now on the question of ounces of soda consumed by an adult next month is considered not to be discrete random variable. This is because ounces of soda or volume of soda consumed are countless and infinite in number.  

Hence, the statement that says ounces of soda consumed by an adult next month are an example of a discrete random variable is False.

Choice b(False) is correct.  

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Answer:

(3,−4),(7,−2),(0,−1),(−3,4),(−7,11)

How to find?

Inverse the \(x x\) and \(yy\) in each of the points location.

Want some pictures?

Look below, there will be a screenshot of a graph I made.

Thanks!

Answered by: FieryAnswererGT

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Answer:

B. X

Step-by-step explanation:

the answer is X because access that is -2/5 and we are looking for 6 2/5 so that means that it has to be that one.

The interior angle of any triangle sum to 180° in measure, so that angle ACB has measure

m∠ACB = 180° - 67° - 35° = 78°

Angles ACB and BCD are supplementary because they occur on the same ray AD, which means they also sum to 180° in measure. Then angle BCD has measure

m∠BCD = 180° - 78° = 102°

Answer:

102 degrees

Step-by-step explanation:

for this problem, add the angles given to 180 degrees to find the remaining angle ACB in the triangle. Once you have that angle, you can subtract it from 180 degrees to find BCD, because side ACD is straight. By adding Angle CAB (67 degrees) and Angle ABC (35 degrees), you end up with the missing 98 degrees to reach 180 degrees. thus, when subtracting to find BCD on the straight of ACD, a value of 102 degrees remains for Angle BCD

Answer:

35

hope this helps you!!