A student uses the division shown to divide -3x^4 + 15x^3 - x + 5 by x - 5, and concludes that x -5 is not a factor of the polynomial. Describe two errors the student made. Is x - 5 a factor? Explain.

Answer: X is exponentially distributed

Step-by-step explanation:

Given that P(X > s + t|X > s) = P(X > t), we can say that X is a memoryless random variable. This is because the probability of X being greater than s + t given that it is greater than s is the same as the probability of X being greater than t. This property is characteristic of the exponential distribution.

To prove this, let us assume that X is not exponentially distributed. Then, there exists some other distribution that satisfies the given condition. Let F(x) be the cumulative distribution function (CDF) of X. Then, we have:

P(X > s + t|X > s) = P(X > s + t)/P(X > s) = [1 - F(s + t)]/[1 - F(s)]

P(X > t) = 1 - F(t)

Using the given condition, we can write:

[1 - F(s + t)]/[1 - F(s)] = 1 - F(t)

Simplifying this expression, we get:

F(s + t) = F(s)F(t)

This is the functional equation of the exponential distribution. Therefore, we can conclude that X is exponentially distributed.

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The Complete value for the Table is

x               f(x)                   g(x)

1                8                         1.1

5               20                  1.61051

10              35                  2.5937

20             65                   6.7274

The function f(x) grows with faster rate.

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

We have f(x) = 3x+ 5 and g(x) = \((1.1)^x\)

The Complete value for the Table is

x                   f(x)                                           g(x)

1               3x+ 5 = 3(1) +5= 8                         1.1

5              3x+ 5 = 3(5) +5= 20                      \((1.1)^5\)= 1.61051

10             3x+ 5 = 3(10) +5= 35                    \((1.1)^{10}\)= 2.5937

20            3x+ 5 = 3(20) +5= 65                    \((1.1)^{20}\)= 6.7274

So, the function f(x) grows with faster rate.

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The probability that the average length of a randomly selected bundle of steel rods is 155.8 then P = 0.174 cm

Given sample size 'n' = 30 steel rods

Mean of the Population = 155.1 cm

Standard deviation of the Population = 1.4 cm

Given x⁻ be the random variable of Normal distribution

Let x₁⁻ =  155.8cm

The probability that the average length of a randomly selected bundle of steel rods is  155.8-cm.

P(x⁻₁ < x⁻ <x⁻₂) = P(Z₁ < Z <Z₂)

                      = P(Z <Z₂) - P(Z<Z₁)

                     = 0.5 +A(1.629) - (0.5 +A(0.7541)

                     = A(1.629) - A(0.7541)

                     = 0.4474 - 0.2734

                     = 0.1

The probability that the average length of a randomly selected bundle of steel rods is 155.8 cm = 0.174

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According to data from the Pew Research Center, there were approximately 10.5 million unauthorized immigrants living in the United States in 2017. This number represents around 25% of the total foreign-born population in the country. In conclusion, out of the 41.3 million foreign-born individuals in the U.S., about 10.5 million are considered unauthorized immigrants.

Unauthorized immigrants, also known as undocumented immigrants, are individuals who enter the United States without legal permission or overstay their visas. They are not eligible for most government benefits and are often subject to deportation if caught.

The Pew Research Center estimates that there were 41.3 million foreign-born individuals living in the United States in 2017, which includes both authorized and unauthorized immigrants. Of this population, around 10.5 million were unauthorized immigrants.

Unauthorized immigration is a complex and contentious issue in the United States, with many different opinions on how to address it. Understanding the size and characteristics of this population is an important part of any discussion or policy debate.

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Answer:

The electric train produces no smoke.

Step-by-step explanation:

Hope this helped! :>

Answer:

There is no smoke.  This is because the train is electric so it does not even matter the direction.

The expression to represent the total amount Dave spends on hats (h) is: h = $28 * Number of hats bought.

To represent the total amount Dave spends on hats, we can use the following expression:

Total amount Dave spends on hats (h) = Number of hats (n) * Cost per hat ($28)

In this case, since Dave buys multiple hats, we need to consider the number of hats he purchases. If we assume that Dave buys "x" hats, the expression can be written as:

h = x * $28

Now, whenever we want to calculate the total amount Dave spends on hats, we simply multiply the number of hats he buys by the cost per hat, which is $28.

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Answer:

B

Step-by-step explanation:

If two figures are the same shape and the same size, then the figures are Congruent.

Those figures that are exactly the same size and shape are said to be congruent.

Additionally, if the dimensions of one of the figures match those of its mirror image, it will also be true.

Additionally, two figures are said to be congruent if they entirely overlap when one is placed over the other and the top figure cannot be seen through the bottom.

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Answer:

-9

Step-by-step explanation:

\(KL=|7-23|=16\\JK = KL = 16\\\\J = K-JK = 7-16 = - 9\)

Step-by-step explanation:

58 +38 = 96 degree

so we do 180 - 96 = 84 degree valur of x for one triangle

so opposite side angke x will be 96

so again we do 96 +15 = 111 degree

180 - 111 = 69 degree

We have the equation:

Given the slope-intercept formula for the equation of the line, we have the following:

Now, since we have that t is the number of hours the electrician spends working, the slope of the function represents the hourly rate charged.

Answer:

1.) 27a^11 + 18a^9 -72a^7

2.) 6p^4q^3 - 10p^3q + 4p^2q3

Step-by-step explanation:

1.) Distribute and do the math

-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2

27a^11 + 18a^9 -72a^7

2.)  Distribute and do the math

2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2

6p^4q^3 - 10p^3q + 4p^2q3

Answer:

Shortest distance of first mantel should be 3 ft from left end and shortest distance of second mantel should be 3 ft from right end

Step-by-step explanation:

Length of the mantel = 12 ft

Since first vase is 1/4 of the distance from one end of the mantel, then let's choose left end;.

Distance of first vase from left end = 1/4 × 12 = 3 ft

Also, distance of second vase from left end = 3/4 × 12 = 9 ft

This second vase is 9 ft from left end. Which means it is 3 ft from right end since the mantel is 12 ft in length.

Thus,shortest distance of first mantel should be 3 ft from left end and shortest distance of second mantel should be 3 ft from right end.

(a) The sequence is neither arithmetic nor geometric.

(b) The sequence is neither arithmetic nor geometric.

(c) The sequence is arithmetic.

(d) The sequence is neither arithmetic nor geometric.

(a) The sequence 1, 1, 2, 3, 5, 8, 13 does not have a common difference or a common ratio, making it neither arithmetic nor geometric. Instead, it follows the pattern of the Fibonacci sequence, where each term is the sum of the two preceding terms.

(b) The sequence 2, 1, 1, 111, 2:47, 16 does not exhibit a clear pattern that can be categorized as arithmetic or geometric. The terms seem to be unrelated and do not follow a consistent rule.

(c) The sequence 17, 13, 9, 5, 1, -3 is an arithmetic sequence. It has a common difference of -4, as each term is obtained by subtracting 4 from the previous term.

(d) The sequence 3, 2, 5, 4, 7, 6 does not have a constant difference between terms, so it is not arithmetic. Additionally, the terms do not have a common ratio, making it not geometric either. The sequence does not follow a clear pattern and is not categorized as arithmetic or geometric.

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The work done by F over the curve C in the direction of increasing t is 1.

We can find the work done by F over the curve using the line integral:

Work = int_C F . dr

where C is the curve defined by r(t) = ti + t^2 j + tk, 0 <= t <= 1, and dr is the differential vector along the curve.

To compute the line integral, we need to first find the differential vector dr and the dot product F . dr. We have:

dr = dx i + dy j + dz k = i dt + 2t j + k dt

F . dr = (2xy dx + 2y dy - 2yz dz) = (2xy dt + 4ty dt - 2yz dt) = (2xy + 4ty - 2yz) dt

Thus, the line integral becomes:

Work = int_0^1 (2xy + 4ty - 2yz) dt

To evaluate this integral, we need to express x, y, and z in terms of t. From the equation for r(t), we have:

x = t

y = t^2

z = t

Substituting into the integral, we get:

Work = int_0^1 (2t*t^2 + 4t*t^2 - 2t^2*t) dt = int_0^1 (4t^3 - 2t^3) dt = int_0^1 2t^3 dt

Evaluating the integral, we get:

Work = [t^4]_0^1 = 1

Therefore, the work done by F over the curve C in the direction of increasing t is 1.

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The volume of grain in the silo when it is 60% filled is approximately 1178.1 cubic yards.

A closed surface or object's volume is determined by its three dimensions and is represented mathematically.

The following formula determines a cylinder's volume:

V = πr²h

where r is the radius of the cylinder and h is the height.

The diameter of the silo is 10 yards, so the radius is 5 yards. The height of the silo is 25 yards.

To find the volume of the silo, we need to first calculate its total capacity, which is the volume of a completely filled cylinder:

V_total = πr²h

V_total = π(5²)(25)

V_total = 625π

To find the volume of grain in the silo when it is 60% filled, we need to find 60% of the total capacity:

V_grain = 0.6V_total

V_grain = 0.6(625π)

V_grain ≈ 1178.1 cubic yards (rounded to the nearest tenth)

Therefore, the volume of grain in the silo when it is 60% filled is approximately 1178.1 cubic yards.

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9514 1404 393

Answer:

  4x +14 . . . feet

Step-by-step explanation:

The perimeter is given by ...

  P = 2(L+W)

  P = 2((x +4) +(x +3)) = 2(2x +7)

  P = 4x +14

The perimeter of the garden is 4x +14 feet.

The answer is: a. Yes, the forecast fails the bias test.

To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.

If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.

In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.

Therefore, the answer is:

a. Yes, the forecast fails the bias test.

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The probability that the number of people who show up will exceed the capacity of the plane is 60.1%.

Let X be the number of people who show up for the flight. We want to find the probability that X exceeds the capacity of the plane, which is 76.

Since the airline estimates that 96% of people booked on their flights actually show up, we can model X as a binomial random variable with n = 78 and p = 0.96. The probability mass function for X is:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.

To find the probability that X exceeds 76, we need to calculate the following sum:

P(X > 76) = P(X = 77) + P(X = 78)

Using the binomial distribution, we can calculate these probabilities as follows:

P(X = 77) = (78 choose 77) * 0.96^77 * 0.04^1 = 0.381

P(X = 78) = (78 choose 78) * 0.96^78 * 0.04^0 = 0.220

Therefore, the probability that the number of people who show up will exceed the capacity of the plane is:

P(X > 76) = P(X = 77) + P(X = 78) = 0.381 + 0.220 = 0.601

Thus, there is a 60.1% chance that the number of people who show up for the flight will exceed the capacity of the plane.

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Answer:

4.8 servings

Step-by-step explanation:

What you do is you do 4/5x6/1 and you get 4.8 or 4 4/5.

Answer:

The answer is 0.02

Step-by-step explanation:

1/50=0.02

The normal curve with a mean of 0 and standard deviation of 1 is called (D)  the z-value.

Therefore, the normal curve with a mean of 0 and standard deviation of 1 is called (D)  the z-value.

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Answer:

A. B. D. C.

Step-by-step explanation:

Answer:

2,276 ≤ 2,336.6 < 60.6

Step-by-step explanation:

I. When m is combined mass of car and person which is

2,276 + 60.6 = 2,336.6

II. Write into the interval a <= m < b

So we can write as

2,276 ≤ 2,336.6 < 60.6 will return to False.

or

60.6 ≤ 2,336.6 < 2,276 will return to False.

That makes 2,276 ≤ 2,336.6 < 60.6 is the right answer.

Hope that help :)

Since we know that a varies directry with b, this means that

where k is a proportional constant.

If we plugg in the values we have we can find k. Then

Therefore, in our case

Now we want to know the value of a when b=14.5, plugging the value in the last equation we have

Now we solve for a

Therefore, when b=14.5 than a=2.8.

Answer:

the answer is: y= -x²+6x+2

Answer:

25

Step-by-step explanation:

d=2r

2r=25+25=50

d=50

Radius =25

Answer:

25 yds

Step-by-step explanation:

2*radius=diameter

radius=d/2

r=50/2

r=25yds

An MIS differs from a TPS in that it creates databases is True.

An MIS (Management Information System) does indeed differ from a TPS (Transaction Processing System) in that it creates databases. The main purpose of an MIS is to collect, process, store, and disseminate information to support managerial decision-making within an organization. It involves the use of technology and various information systems to manage and analyze data for strategic planning, monitoring, and control.

One of the key components of an MIS is the creation and management of databases. Databases are structured collections of data that are organized, stored, and accessed in a systematic way. They serve as a central repository for storing relevant information that can be utilized by the MIS. These databases can contain data from various sources within the organization, such as sales records, customer information, inventory data, financial data, and more.

On the other hand, a TPS focuses primarily on the processing of transactions. It is designed to capture, process, and record day-to-day operational transactions, such as sales transactions, inventory updates, customer orders, and so on. While a TPS may store and retrieve data related to these transactions, its main focus is on efficiently processing and ensuring the accuracy and integrity of transactional data.

In summary, an MIS goes beyond the functionalities of a TPS by not only processing transactions but also creating and managing databases to support the informational needs of managers.

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