I think account has a balance of $120 on January 1. Describe a situation in which the account balance for each month February 1 March 1 forms the following sequences in exercise one and two. Write the first three terms of each sequence.

Answer:

El tanque tardará aproximadamente 48 minutos en llenarse.

Step-by-step explanation:

Podemos encontrar la tasa de llenado del depósito sumando las tasas de flujo de los tres grifos:

Tasa de llenado = 60 + 70 + 80 = 210 litros/minuto

Luego, podemos usar la fórmula:

Tiempo = Volumen / Tasa de llenado

Donde el volumen es 10.080 litros y la tasa de llenado es 210 litros/minuto. Sustituyendo estos valores, obtenemos:

Tiempo = 10.080 / 210 ≈ 48 minutos

Por lo tanto, tardará alrededor de 48 minutos en llenarse el depósito de capacidad 10.080 litros si recibe agua por tres grifos diferentes que arrojan 60 litros, 70 litros, 80 litros cada minuto.

¡Espero que esto ayude! Lo siento si no es así. ¡Si necesitas más ayuda, pregúntame! :]

Based on the given statement, the range of values of x is the values that do not exceed 82

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

The output of the operation cannot exceed 82

The range is teh set of the output values

This means that the range is all set of real values less than or equal to 82

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Answer:

Step-by-step explanation

The given statement is false. The solution has been obtained by using the concept of triangulation.

What is triangulation?

Based on the principles of trigonometry, triangulation is a technique used to locate a fixed point. According to these principles, it is possible to compute the other two sides and angle of a triangle if just one side and two angles of the triangle are known.

We are given a statement that to use the method of triangulation you need measurement from at least three locations.

The statement is false because for this, we need only two points.

Hence, the given statement is false.

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Question: To use the method of triangulation, you need measurements from at least three other locations.

A.True

B.False

The equation 8(x-9)=6(2x-12)-4x (option C) has an infinite number of solutions.

Let's simplify the given equation and solve for x:

8(x-9) = 6(2x-12) - 4x

8x - 72 = 12x - 72 - 4x // Distributing 6

8x - 72 = 8x - 72 // Simplifying

We can see that both sides of the equation are equal, and there is no variable 'x' present. This means that the equation is an identity and it will hold true for any value of x.

Therefore, this equation has an infinite number of solutions, since any value of x will satisfy the equation.

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Answer:

21

Step-by-step explanation:

The equation to find the area of a space is length x width. Divide the total area by the width to find the length.

The equation of the given line is expressed as:

y = x - 3

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

The formula for the equation of a line between two coordinates is:

(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)

The pair of coordinate points marked are:

(4, 1) and (5, 2)

Thus, the equation of the line is:

(y - 1)/(x - 4) = (2 - 1)/(5 - 4)

y - 1 = x - 4

y = x - 3

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The first student Z-score= 1.31, the second student= -0.82, the third student = 2.35, the fourth student = -0.37. None of these scores are unusual.

In statistics, a Z-score (also known as a standard score) is a measure of how many standard deviations a data point is from the mean of a population or sample. The Z-score is calculated by subtracting the mean from the data point and then dividing by the standard deviation.

A Z-score of 0 indicates that the data point is equal to the mean, while positive Z-scores indicate that the data point is above the mean and negative Z-scores indicate that the data point is below the mean.

Z-scores are often used in statistics to standardize data so that it can be compared across different populations or samples. Z-scores can also be used to identify outliers, which are data points that are unusually far from the mean and may skew the analysis of the data.

To find the z-score for each student, we use the formula:

z = (x - μ) / σ

where x is the student's score, μ is the mean test score, and σ is the standard deviation.

For the first student with a score of 1940:

z = (1940 - 1534) / 310

z = 1.31

For the second student with a score of 1280:

z = (1280 - 1534) / 310

z = -0.82

For the third student with a score of 2260:

z = (2260 - 1534) / 310

z = 2.35

For the fourth student with a score of 1420:

z = (1420 - 1534) / 310

z = -0.37

To determine if any of these values are unusual, we can use the rule of thumb that considers any z-score greater than 3 or less than -3 to be unusual.

None of the z-scores calculated above are greater than 3 or less than -3, so we can conclude that none of these scores are unusual.

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Answer:

Step-by-step explanation:

The answer to your question is a.

Answer:

2, 3

Step-by-step explanation:

When a point is reflected over the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Therefore, if you reflect the point (-2, 3) over the y-axis, it will become (2, 3).

(Sorry, I tried to provide a picture but I could not.)

Answer:

a)3,6,9,12,15

b)9,18,27,36,45

c)14,28,42,56,70

Step-by-step explanation:

multiply each of it with 1,2,3,4 and 5 :)

Answer:

3-3,6,9,12,15

9-9,18,27,36.45

14-14,28,42,56.70

Answer:

c) 113°

Step-by-step explanation:

Exterior angle is equal to the sum or the "remote" interior angles, that is the two angles that are not just next to the exterior angle. See image.

So the answer, quickly:

exterior angle

= 65° + 48°

= 113°

This is why:

(skip if you don't care)

The three angles in a triangle add up to 180° But also, a linear pair of angles also add up to 180°

So

x + 65° + 48° = 180°

x + y = 180°

y = 65° + 48°

See image.

Answer:

Step-by-step explanation:

The answer is not 855.3^2cm

Answer:

Fifty eight and twenty-three hundredths

Step-by-step explanation:

Answer:

720

Explanation:

[tex]2:125[/tex]

[tex]x:45000[/tex]

to go from 125 to 45000 we need to multiply by 360

that's why we will multiply 2 with 360 to balance both ratios

when we do that we get 720

2:125

[tex]\bold{720:45000}[/tex]

Answer:

720

Step-by-step explanation:

2

you divide 8 with 4 and the answer is 2

The statement "The Poisson distribution is always skewed right" is incorrect. Option A

The Poisson distribution is a discrete probability distribution that is used to model the probability of a given number of events occurring in a fixed interval of time or space, assuming that the events occur independently and at a constant rate.

The key features of the Poisson distribution include:

The statement "The Poisson distribution is always skewed right" is incorrect.

The Poisson distribution can be skewed left, right, or approximately symmetric depending on the value of its parameter lambda. If lambda is small, the distribution will be skewed right. If lambda is large, the distribution will be approximately symmetric.

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Enquire οf each pupil in yοur math class. --> b. Cοnvenience

chοοsing every 5th persοn οn a list  --> d. Systematic

pulling 50 names frοm a hat --> a. Simple Randοm

Chοοse twο cafeteria tables at randοm, then pοll every patrοn at thοse twο tables. --> e. Stratified

selecting 30 individuals frοm each gender after dividing the pοpulatiοn intο genders. --> c. Cluster

Samples can be categοrized intο:

Cοnvenient: Sample taken frοm a pοοl that is easily accessible.

Put all the pοssibilities intο a hat, and draw sοme οf them at randοm.

Every kth cοmpοnent is taken in a systematic manner. If yοu wanted tο survey anything οn the street, fοr instance, yοu may interview every fifth persοn.

Cluster: This pοpulatiοn is brοken dοwn intο grοups, οr clusters, and each cluster's cοnstituents are surveyed.

Further divides the peοple intο several grοups. After that, thοugh, just a small percentage οf the grοup gets quizzed.

Thus, cοrrect match οf the sampling methοd are:

enquire οf each pupil in yοur math class. --> b. Cοnvenience

chοοsing every 5th persοn οn a list  --> d. Systematic

pulling 50 names frοm a hat --> a. Simple Randοm

Chοοse twο cafeteria tables at randοm, then pοll every patrοn at thοse twο tables. --> e. Stratified

selecting 30 individuals frοm each gender after dividing the pοpulatiοn intο genders. --> c. Cluster

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Answer:    i am pretty sure it is 33

Step-by-step explanation:

The area of the shaded portion in the image of right triangle attached is solved to be 401.85 square millimeters

The area of the shaded portion is solved by subtracting the area of the smaller triangle from the area of the bigger triangle

The area of a triangle is solved using the formula

= 0.5 base * height

Information given in the problem  

base1 = 24.8

base2 = 15.9

height1 =  34.2 mm

height2 = 21.9

where

base1 and height1 are for the bigger triangle while

base2 and height2 is for smaller triangle

area of shaded portion = 0.5(24.8 * 34.2) - 0.5(15.9 * 21.9)

area of shaded portion = 418.95 - 174.105

area of shaded portion =401.845

area of shaded portion = 401.85 square millimeters

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Answer:

Here is the answer for the following question:

The probability that the alumni member is male and did not attend graduate school is (546-206)/1214, or 83.09%.

Probability is a measure of how likely an event is to happen. It is expressed as a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain. Probability is used to describe the likelihood of something happening and to make decisions when dealing with uncertain situations. Probability theory is the mathematics of predicting the outcomes of events when the exact outcome is unknown.

In conclusion, the probability that the alumni member is female is 8.55%, that the alumni member is male is 16.91%, that the alumni member is female and went on to graduate school is 8.55%, that the alumni member is male and went on to graduate school is 16.91%, that the alumni member is female and did not attend graduate school is 79.60%, and that the alumni member is male and did not attend graduate school is 83.09%.

The probability that the alumni member is female is 104/1214, or 8.55%. The probability that the alumni member is male is 206/1214, or 16.91%. The probability that the alumni member is female and went on to graduate school is 104/1214, or 8.55%. The probability that the alumni member is male and went on to graduate school is 206/1214, or 16.91%. Finally, the probability that the alumni member is female and did not attend graduate school is (668-104)/1214, or 79.60%.

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Answer:-7

Step-by-step explanation:

|-5 - 4| = -9

|1 + -3|= -2

|-9 - -2| = -7

Answer:

Step-by-step explanation:

[tex]|a-b|-|c+d|=|-5-4|-|1+(-3)|=|-9|-|-2|=9-2=7[/tex]

Absolute value is just the distance from 0 and therefore is always positive.

1. B.

2. C.

3. A.

4. C.

Answer: To calculate the standard deviation of a discrete random variable, we need to know the expected value and the variance. The variance of a discrete random variable X is given by:

Var(X) = Σ [ (x - E(X))^2 * P(X = x) ]

where the summation is taken over all possible values of X, and E(X) is the expected value of X.

We are given that the expected value of X is 1.95. Using the formula for the variance and the probabilities given in the table, we can calculate the variance as follows:

Var(X) = (0 - 1.95)^2 * 0.03 + (1 - 1.95)^2 * 0.31 + (2 - 1.95)^2 * 0.43 + (3 - 1.95)^2 * 0.14 + (4 - 1.95)^2 * 0.09

Var(X) = 1.1429

To find the standard deviation, we take the square root of the variance:

SD(X) = sqrt(Var(X))

SD(X) = sqrt(1.1429)

SD(X) ≈ 1.07

Therefore, the standard deviation of the number of cars owned by families in New York is approximately 1.07. None of the options given match this value exactly, but 0.99 is the closest.

Step-by-step explanation:

Answer:

To find how much yarn Tina used for the third doll, we can subtract the total amount of yarn used for the first two dolls from the total amount of yarn used.

Total amount of yarn used = 10 1/2 yards

Amount used for first doll = 3 1/2 yards

Amount used for second doll = 4 1/8 yards

To add 3 1/2 and 4 1/8, we need to find a common denominator:

3 1/2 = 7/2

4 1/8 = 33/8

Common denominator = 8

So, 3 1/2 = 28/8 and 4 1/8 = 33/8

Total amount used for first two dolls = 28/8 + 33/8 = 61/8

Subtracting the total amount used for the first two dolls from the total amount of yarn used:

10 1/2 - 61/8 = 84/8 - 61/8 = 23/8

Therefore, Tina used 23/8 yards of yarn for the third doll.

By induction, we can conclude that in a semigroup, all products of x1, x2, ...... xn (in that order) are equal.

A semigroup is a mathematical structure consisting of a set of elements along with an associative binary operation. The operation must be associative, meaning that the result of the operation is independent of the order of the operands.

We can prove this by induction. Let S be a semigroup and x1, x2, x3, ..., xn be the elements of S.
Base Case: When n = 2, then the product of x1 and x2 is x1x2.
Inductive Step: Assume that the product of x1, x2, ..., xn (in that order) is equal. Then we can prove that the product of x1, x2, ..., xn+1 (in that order) is also equal.
Let a be the product of x1, x2, ..., xn (in that order). Then a = x1x2x3....xn.
Now the product of x1, x2, ..., xn+1 (in that order) is a x xn+1. Since S is a semigroup, a x xn+1 = x1x2x3....xn x xn+1.
Since the product of x1, x2, ..., xn (in that order) is equal, a = x1x2x3....xn. Therefore, the product of x1, x2, ..., xn+1 (in that order) is also equal.
By induction, we can conclude that in a semigroup, all products of x1, x2, ...... xn (in that order) are equal.

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The length of the diagonal of the television screen is equal to 56 cm to the nearest centimeter using the Pythagoras rule.

The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

we shall represent the length of the diagonal with the letter x so by Pythagoras rule we can write:

x² = 34² + 45²

x² = 1156 + 2025

x² = 3181

x = √3181 {take square root of both sides}

x = 56.4004

Therefore, the length of the diagonal of the television screen is equal to 56 cm to the nearest centimeter using the Pythagoras rule.

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Answer:

x < 16

Step-by-step explanation:

The Consumer Price Index (CPI) for All Urban Consumers grew by 9.1%. The all items index rose 9.1%, the largest annual increase since the year that ended in November 1981.

A consumer price index can be defined as a measure of a market basket of goods and services that households have purchased at a weighted average price. The measured CPI fluctuates(differs) to reflect changes in prices over time.

The CPI is one of the most widely(popularly) used indicators of inflation and deflation.

[tex]Annual\ CPI = \frac{Value\ of Basket\ in \ Current \Year}{Value\ of Basket\ in \ Prior\ Year} *100[/tex]

[tex]Inflation\ Rate = \frac{New \ CPI - Prior\ CPI}{Prior\ CPI} *100[/tex]

It is one of the most used methods for measuring inflation and reveals the state and trajectory of the economy.

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Two consecutive number between [tex]2 \frac{3}{10}[/tex] and [tex]4 \frac{1}{2}$[/tex] are 3 and 4.

Composite number are those number which follow a particular sequence whether it is normal, even, odd or any other sequence.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         AP) is the best method to identify whether the number are consecutive or not.

So here, we can write as [tex]\frac{23}{10}=2.3[/t[/tex]                                                                                                                                                                                                                                                                                         ex] and we can write [tex]\frac{1}{2}[/tex] as [tex]frac| {9}{2}=4.5[/tex]

So, two composite number are 3 and 4.

Arithmetic Progression, (AP) A sequence can called in as AP when the difference between them are common which means the each previous is differ from its preceding one by a constant quantity.

[tex]a_n=a_1+(n-1) * d[/tex] where, [tex]a_1=[/tex] first termed= common difference [tex]a_n=[/tex] term in the sequence

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