What would the answer be?

The probability that fewer than two machines will be inoperative during a particular day is 0.29753.

Poisson distribution tells us the probability that exactly k events happen in a given time period, given that we expect of those events during that time period, and the chances of two or more events occurring are independent of each other.

For a Poisson distribution as described above, the probability of exactly k events during the given time period is:

P(X=k) = (k.e-)/(k!)

In this case we have one day as time period, we have 200 machines in use, and the probability of machine being inoperative on a given day is 0.009

No of machines being inoperative on any day = 0.009 x 200 = 1.8

The probability of fewer than two machines being inoperative is equal to the sum of probability of zero machines being inoperative and one machine being inoperative.

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

On using the formula,

P(X<2) = (1.80.e-1.8)/(0!) + (1.81.e-1.8)/(1!)

On simplifying it,P(X<2) = e-1.8 +1.8*e-1.8  = 2.8*e-1.8

The probability is 2.8*e-1.8 which is approximately equal  to 0.29753.

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Answer:

(1, 7.5)

(2, 9)

(3, 10.5)

Step-by-step explanation:

-6x+4y=24

first we want to put the equation in slope intercept form which is y=mx+b

-6x+4y=24

first we add 6x to both sides

4y=24+6x

now we divide everything by 4

y=6+6/4x

simplified

y=3/2x+6

now we input our x values to find the y values (x,y)

y=3/2(1)+6

y=15/2 or 7.5

y=3(2)+6

y=9

y=3/2(3)+6

y=21/2 or 10.5

with this information, our points to plot on the graph are

(1, 7.5)

(2, 9)

(3, 10.5)

i hope this helped! if you have any questions just ask!

The error represented in this scenario is an inappropriate task allocation or a mismatch between job responsibilities and the assigned task during the interview process.

The primary role of a customer service representative is to interact with customers, address their concerns, and log calls professionally and efficiently. In contrast, performing a detailed analysis of call-in data falls under the domain of data analysis or business intelligence roles.

By asking the candidate to perform a task unrelated to their potential job responsibilities, the company may not accurately assess the candidate's aptitude for customer service tasks. This error could lead to selecting a candidate who may excel in data analysis but may not possess the necessary communication and problem-solving skills required for a customer service representative position.

To avoid this error, the company should focus on evaluating candidates based on their skills, experience, and performance in tasks directly relevant to the customer service role.

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The main answer is that the infinite number of types of matter arises from the unique combinations of elements and their arrangements in terms of composition and geometry.

While the number of elements is limited, their combinations and arrangements allow for an infinite number of types of matter. Elements can combine in different ratios and configurations, forming various compounds and structures with distinct properties.

Additionally, the arrangement of atoms within a molecule or the spatial arrangement of molecules within a material can create different types of matter. These factors, along with the possibility of isotopes and different states of matter, contribute to the vast diversity and infinite types of matter despite the limited number of elements.

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The power density spectral of X(t), denoted as Sxx(w), is obtained by taking the Fourier transform of the auto-correlation function Rxx(T). The power of X(t) is the area under the power density spectral.

The power density spectral, Sxx(w), of X(t) can be calculated by taking the Fourier transform of the auto-correlation function Rxx(T). It represents the distribution of power across different frequencies in the random process. The power of X(t) is obtained by integrating the power density spectral over all frequencies. In this case, since Rxx(T) is given as A - rect(T/T), the power density spectral can be determined by applying the Fourier transform to this expression.

The power density spectral provides information about the distribution of power in the random process at different frequencies. By integrating the power density spectral, the total power of the process can be determined. In the case of the drifting small boat, the power density spectral and power of X(t) will depend on the constants A and T. A larger A would indicate higher power overall, while a larger T would result in a wider spread of power across frequencies.

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Answer:

Step-by-step explanation:

Given:

Let's first try to simplify ∠CAB in ΔABC. Then we can find the 'x' in ΔFDE with the help of ΔABC.

ΔABC = 108 + 48 + ∠CAB = 180°

=> 156 + ∠CAB = 180°

=> ∠CAB = 24°

=> 48 + 108 + 2x - 48 = 180°

=> 108 + 2x = 180°

=> 2x = 72°

=> x = 36°

So, after working on this problem, we can conclude that 'x = 36°' and 'y = 48°'. Hoped this helped.

Answer: x=36, y=48

Step-by-step explanation:

The sum of the angles in a triangle is 180.  From triangle ABC we see that:

108 + 48 + Z = 180, where Z is the unknown third angle.

156  + Z = 180

Z= 24 (angle CAB).

Since the triangles are similar, we can say angle EDF(y) is equal to angle CAB (48).  Thus,

y = 48

we can also say that angle CAB is the same as angle DFE:

24 = (2x-y)  

24=2x-48

72=2x

x=36

Answer:

The p-value is 0.07, which is more than 0.05. Fail to reject the null hypothesis.

Step-by-step explanation:

Answer:

V ≈471.24 mm^3

Step-by-step explanation:

The formula for cylinder volume is πr^2 x h, so ((π x 25) x h). That's just 25π x 6. That is about 471.238898, which rounded is almost 471.24. Or, in terms of π, you could leave your answer as 150π mm^3

The answer is to round up 221.45 mm to 220 mm.

The question asks us to round up a number to the nearest whole number. Since the number in question is 221.45 mm, when we round it up to the nearest whole number, it will be 222 mm.

To the upper bound 221.45 ≈ 222

The question is asking to round the number 221.45 mm to the nearest article rounded. An article rounded is the unit size of smallest components used in manufacturing.

The nearest article rounded to 221.45 mm would be 220mm.

To the lower bound 221.45 ≈ 220

Therefore, the answer is to round up 221.45 mm to 220 mm.

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f(x) and g(x) are inverse functions as they intersect at y = x.

Given,  f(x) = x³, g(x) = 3√x(a) Algebraically f(g(x)) = f(3√x) ⇒ f(g(x)) = (3√x)³= 27x¹/²g(f(x)) = g(x³) ⇒ g(f(x)) = 3√(x³)⇒ g(f(x)) = 3x^(3/2)

Verify graphically:

We have to show that the composition of these two functions is the identity function: f(g(x)) = x and g(f(x)) = x

We can use the graph of f and g to verify graphically.

Given, f(x) = x³, g(x) = 3√xThe graph of f(x) and g(x) are as follows:

Graph of f(x)Graph of g(x)

To verify graphically, we need to make sure that the two curves intersect at y = x.

Since we are given the function that defines each curve, we can set them equal to each other to see where they intersect:

f(x) = g(x)⇒ x³ = 3√x^3⇒ x³ = 3x^(3/2)⇒ x^(1/2) = 3⇒ x = 9  (x cannot be negative since g(x) only takes positive values)

Therefore, the intersection of the two curves occurs at the point (9, 9).

Thus, f(x) and g(x) are inverse functions as they intersect at y = x.

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To find an invertible matrix P and a diagonal matrix D such that P^(-1)AP = D, we need to diagonalize matrix A. The diagonal elements of D will be the eigenvalues of A, and the columns of P will be the corresponding eigenvectors.

To diagonalize matrix A, we need to find its eigenvalues and eigenvectors. Let λ1, λ2, ..., λn be the eigenvalues of A, and v1, v2, ..., vn be the corresponding eigenvectors. We arrange the eigenvectors as columns in matrix P, and the eigenvalues as diagonal elements in matrix D.

Then, we can calculate P^(-1) to obtain the inverse of P. Finally, we have:

P^(-1)AP = D

This equation implies that A can be transformed into a diagonal matrix D by using the invertible matrix P.

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Answer:

Find answers below

Step-by-step explanation:

First know that any value raise to power zero is 1 and also according to the inverse law;

a⁻ⁿ = 1/aⁿ

Given the following

a) (-123)⁰ = 1 ()Note that any value raise to zero is 1

b) 43⁻⁵ = 1/43⁵

1/43⁵ = 1/147,008,443

c) 1/15⁻⁶ = 1/(1/15⁶)

1/(1/15⁶) = 1*15⁶/1

1/(1/15⁶) = 15⁶

d) -(1353348)⁰

= -1 (anything raise to zero is 1)

e) 13⁻⁴ = 1/13⁴

= 1/28,561

Answer:

f(x)=382-3x+11

f(-2)=382-3(-2)+11

f(-2)=382+6+11

f(-2)=399

Answer:

399

Step-by-step explanation:

f(-2) = 382 - 3x + 11

382 - 3(-2) + 11 : plug it in

382 + 6 + 11

388 + 11

399

Answer:

Step-by-step explanation:

The first is if the corresponding angles, the angles that are on the same corner at each intersection, are equal, then the lines are parallel. The second is if the alternate interior angles, the angles that are on opposite sides of the transversal and inside the parallel lines, are equal, then the lines are parallel.

Answer:

1,000

Step-by-step explanation:

i to the test djdjsjsjsj

Answer: 9x + 17

Step-by-step explanation: Add 4x and 5x and you get 9x. Next take away 15 from 32 and you get 17 therefore the answer wuld be 9x + 17.

Answer:

V = (1/3) Bh,

Step-by-step explanation:

Hope its Help!

\(\tt\displaystyle\ P(1+r)!= r*(r-1) *(r-2)*(r-3) ..... *1\)

Answer: 19,11,17 and 13,22,14

Step-by-step explanation:

The two smallest numbers (11, 17) added together must be a bigger number than the biggest number (19)...... 11 + 17 = 28

28> 19 :)

The function is conformal everywhere except at infinity since e^(az) is an entire function.

1. For the functions f(z) = u + iv:
(a) f(z) = 1/2: Since the function is a constant, there are no level curves. It is not conformal since it doesn't preserve angles.
(b) f(z) = 1/22: Similarly, this function is a constant, and there are no level curves. It is not conformal.
(c) f(z) = 20: As another constant function, there are no level curves. It is not conformal.
2. For f(2) = Log z = u + iv:
The level curves of u (real part) are concentric circles centered at the origin, while the level curves of v (imaginary part) are radial lines emanating from the origin. This sketch corresponds to a complex logarithm function and is conformal everywhere except at the origin, where it is undefined.
3. For the functions f(z) = u + iv:
(a) f(z) = e^z: The level curves of u and v are orthogonal (intersect at right angles) and create a grid pattern. The function is conformal everywhere except at infinity, as e^z is an entire function.
(b) f(z) = e^(az), where a is complex: The level curves of u and v create a grid pattern, which is rotated and scaled according to the value of a. The function is conformal everywhere except at infinity since e^(az) is an entire function.

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Answer:

Volume of space in cylinder = 572.27 cm³ (Approx.)

Step-by-step explanation:

Given:

Height of cylinder = 27 cm

Diameter of cylinder = 9 cm

Radius of cylinder = 9 / 2 = 4.5 cm

Number of sphere ball = 3

Radius of sphere ball = 4.5 cm

Find:

Volume of space in cylinder

Computation:

Volume of space in cylinder = Volume of cylinder - Volume of 3ball

Volume of space in cylinder = πr²h - 3[(4/3)πr³]

Volume of space in cylinder = [22/7][4.5]²[27] - 3[(4/3)[22/7][4.5]³]

Volume of space in cylinder = [(3.14)(20.25)(27)] - [(4)(3.14)(91.125)]

Volume of space in cylinder = 1,716.795 - 1,144.53

Volume of space in cylinder = 572.265

Volume of space in cylinder = 572.27 cm³ (Approx.)

The correct statement among the options depends on the specific details of the regression model and hypothesis being tested. Let's analyze each option:

a. The statement mentions rejecting because the standard error of is approximately 0.128. However, it does not provide any information about the hypothesis being tested or the test statistic. Therefore, we cannot determine if this statement is correct without further information.

b. This statement suggests rejecting because the maximum of the p-values associated with and is larger than 0.05. Again, without knowing the specific hypothesis being tested or the test statistic used, we cannot determine the correctness of this statement.

c. The statement claims that we do not have sufficient evidence to reject because = 0.67. However, it does not provide any information about the hypothesis, test statistic, or critical values. Thus, we cannot assess the accuracy of this statement.

d. This statement mentions testing two restrictions jointly and the critical value for this test being 3. While it provides more information about the hypothesis being tested, without further context or details, we cannot evaluate the correctness of this statement.

e. The statement states that the F statistic for the test is 154.9, and it utilizes the F distribution with degrees of freedom 3 and 216. This statement provides specific information about the test statistic and degrees of freedom, suggesting that it is more likely to be the correct statement. However, we still need to consider the hypothesis being tested to confirm its accuracy.

Without additional information about the hypothesis being tested, we cannot definitively select the correct statement.

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Salma can therefore rent the vehicle for a maximum of 5 days and go 275 miles. When A rental car company charges $22. 50 per day to rent a car and $0. 10 for every mile driven. Salma wants to rent a car, knowing that: she plans to drive 275 miles. She has at most $140 to spend.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given

Although your question is incomplete, you might be referring to the following in its entirety: Renting a car from a rental car agency costs $22.50 per day plus $0.10 every mile driven. Salma wants to rent a car because she knows she will go 275 kilometres. She can only spend up to $140. The number of days Salma can rent the car for while staying within her budget can be calculated by writing and solving an inequality.

The formula that solves this issue is:

Let x represent how many days Salma can afford to rent the automobile for.

Inequality

22.5x + 0.10(275) ≤ 140

22.5x + 2.75 ≤ 140

22.5x ≤ 140 - 2.75

22.5x ≤ 137.25

x ≤ 5

automobile rental on a daily basis get x <= 5

Salma can therefore rent the vehicle for a maximum of 5 days and go 275 miles.

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Answer:

Step-by-step explanation:

\(\frac{-2}{5}(x-3)\geq 1-x\\\frac{-2x}{5} + \frac{6}{5} \geq 1-x\\\)

Multiply x5

-2x + 6 ≥ 5 - 5x / + 5x - 6

3x ≥ -1

x ≥ -1/3

Answer:

the answer is no

Step-by-step explanation:

Answer:

y = 114

Step-by-step explanation:

Answer:

Step-by-step explanation:

what do u mean i domt rlly inderdstnd

Explanation:

( ) . . . . stuff that is given

∠ABE ≅∠DEG . . . . corresponding angles at a transversal

∠ABC +∠CBE = ∠ABE . . . . angle addition postulate

∠CBE = ∠ABE -∠ABC . . . . subtraction property of equality

∠DEF +∠FEG = ∠DEG . . . . angle addition postulate

∠FEG = ∠DEG -∠DEF . . . . subtraction property of equality

∠FEG = ∠ABE -∠ABC . . . . substitution property of equality

∠CBE = ∠FEG . . . . substitution property of equality

CB║EF . . . . converse of corresponding angles theorem

The weight of Joey is 39kg. Then, he needs to take:

a) He needs to be given 0.39mg

b)On the other hand, 0.39mg in milliliters is:

So, he needs to take 0.78ml

Bond A: Maturity = 19 years, Yield = 14%, Price = $255.10

Bond B: Maturity = 5 years, Yield = 12%, Price = $608.00

Bond C: Maturity = 9 years, Yield = 8.61%, Price = $380.00

To calculate the price, maturity, and yield for each bond, we need to use the formula for present value of a zero-coupon bond:

Price = Face Value / \((1 + Yield/2)^{(2Maturity) }\)

For Bond A, with a face value of $1,000, a yield of 14% (or 0.14 in decimal form), and a maturity of 19 years, the calculation is:

Price = 1000 /\((1 + 0.14/2)^{ 38}\)= $255.10

For Bond B, we are given the price as $608.00, a yield of 12% (or 0.12 in decimal form), and we need to find the maturity. Rearranging the formula, we can solve for maturity:

Maturity = ln(Face Value / Price) / (2 × ln(1 + Yield/2))

Maturity = ln(1000/608) / (2 × ln(1 + 0.12/2)) = 5 years

For Bond C, we are given the price as $380.00, a maturity of 9 years, and we need to find the yield. Again, rearranging the formula, we can solve for yield:

Yield = 2 × ((Face Value / Price)^(1 / (2Maturity)) - 1)

Yield = 2 × ((1000/380)^(1 / (29)) - 1) = 8.61%

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