help with math hw, Domain and Range of quadratic functions.

The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.

Clark Property Management should expect to experience some consecutive years with higher compressor failure rates.

Let X represent the number of AC compressor failures. Thus, the probability distribution of X is as follows :

Number of Compressor Failures Probability (Relative Frequency)

0 0.061 0.132 0.253 0.284 0.205 0.076 0.01.

We will select two-digit random numbers from a table of random numbers. We will simulate 20 years of compressor failure.

As a result, there will be a total of 20 values of X, each representing a year's worth of data.

We may now determine whether it is typical to have three or more consecutive years with two or fewer compressor failures per year.

The Monte Carlo simulation is used to complete this task. We may use an online random number generator if a table of random numbers is not available.

Monte Carlo simulation is a statistical modeling method that employs random sampling techniques to simulate the output of a complicated system.

It is a stochastic modeling technique that allows for uncertainty and risk evaluation in complex systems where deterministic methods are insufficient.

Monte Carlo simulation generates random input values for a system with a mathematical model, allowing it to calculate possible outcomes.

These results are then used to generate probability distributions of potential results.

In essence, the Monte Carlo simulation is an experiment conducted on a computer that provides insight into the degree of risk related to decision-making.

1. Set up a model: Determine the system and create a mathematical model that will be utilized in the Monte Carlo simulation.

2. Define input values: Identify the variables that will affect the model's output and define input probability distributions for each.

3. Generate random numbers: Using the input probability distributions, generate random numbers for each variable

4. Run simulations: Run a large number of simulations using the random numbers generated in step 3.

5. Analyze the results: Using the outputs of the Monte Carlo simulation, estimate potential outcomes and the likelihood of different results.

6. Make decisions: Use the data and insights obtained from the Monte Carlo simulation to inform your decision-making.

After conducting the Monte Carlo simulation, it was determined that it is unusual to have three or more consecutive years with two or fewer compressor failures per year.

The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.

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My age is 2 years from the given condition.

Given that, if you square my age and subtract 28 times my age, the result is 60.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let x be my age.

Now, square my age is x²

28 times my age =28x

The square of my age and subtract 28 times my age, the result is 60.

x²-28x=60

⇒ x²-28x-60=0

⇒ x²+30-2x-60=0

⇒ x(x+30)-2(x+30)=0

⇒ (x+30)(x-2)=0

⇒ x=2

Hence, my age is 2 years from the given condition.

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The shortest distance ladder that will reach from the ground, over the fence (4 ft tall) to the wall of the building (2 ft away) is 8.04 ft long.

The first step is to calculate the total height that needs to be reached by the ladder. The height of the fence (4 ft) is added to the distance between the fence and the wall of the building (2 ft). This gives a total height of 6 ft.Next, the length of the ladder is calculated using the Pythagorean theorem, which states that a2 + b2 = c2. The equation is rearranged to solve for c, the length of the ladder. In this case, a is equal to the height (6 ft) and b is equal to half the height (3 ft). This gives a result of c = 8.24 ft. This result is rounded to the nearest hundredth, giving a final result of 8.04 ft.

a2 + b2 = c2

62 + 32 = c2

36 + 9 = c2

45 = c2

√45 = c

c = 6.708 ft (rounded to 8.04 ft)

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Answer:

465.81

Step-by-step explanation:

nsxididjdjdisusjsj

The answer of the question is 465.81

Answer:

they are congruent im pretty sure

Step-by-step explanation:

looks like they are congruent by SAS

Answer:

Nope.

Step-by-step explanation:

Answer:

y=5x

Step-by-step explanation:

If y is 25 and x is 5

25 = 5 (5)

25=25

True. The 3px, 3py, and 3pz orbitals are similar in shape but differ in their orientation or direction.

The p orbitals are one type of orbital that corresponds to the angular momentum number l = 1. These p orbitals are designated as 3px, 3py, and 3pz to indicate their orientations along the x, y, and z axes, respectively.

The p orbitals have a  shape with a node at the nucleus. They consist of two lobes of electron density, one on either side of the nucleus, separated by a region of zero electron density. The lobes are oriented along the designated axes. The 3px orbital points along the x-axis, the 3py orbital points along the y-axis, and the 3pz orbital points along the z-axis. Although they have different orientations, their shapes and sizes are the same.

So, while the 3px, 3py, and 3pz orbitals differ in their orientation in space, they share the same overall shape and size.

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Answer:

b and c

Step-by-step explanation:

Answer:

$17.50

Step-by-step explanation:

Original price= $35

50% off          = $35*50

                             100

                       =$17.50

An algebraic equation which represents this word description "Seven more than the quotient of a number b and 45 is greater than 5" is b > -90.

In Mathematics, a quotient can be defined as a mathematical expression that is simply used to represent the division of a number by another number.

In order to translate this word problem into algebraic equation, we would assign a variable to the unknown number and then translate the word problem into algebraic equation as follows:

Let the variable b represent the unknown number.

Translating the word problem into an algebraic equation, we have the following;

7 + b/45 > 5

By collecting like terms, we have the following:

b/45 > 5 - 7

b/45 > -2

By cross-multiplying, we have the following:

b > -2 × 45

b > -90

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The probability of event A, which is spinning an even number on the spinner can be determined by finding the number of favorable outcomes (even numbers) and dividing it by the total number of possible outcomes.

In order to find the probability of event A, we need to determine the number of favorable outcomes (even numbers) and divide it by the total number of possible outcomes.

On the spinner numbered 1-16, there are a total of 16 possible outcomes. Out of these 16 numbers, half of them are even numbers (2, 4, 6, 8, 10, 12, 14, 16).

Therefore, the number of favorable outcomes for event A is 8.

To find the probability of event A, we divide the number of favorable outcomes (8) by the total number of possible outcomes (16):

P(A) = favorable outcomes / total outcomes

P(A) = 8 / 16

P(A) = 1/2

Hence, the probability of spinning an even number (event A) on the spinner numbered 1-16 is 1/2.

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Answer:

Step-by-step explanation:

Area of top and bottom faces:

Area of front and back faces:

Area of left and right faces:

Total surface area:

Correct choice is C

Answer:

finite is numbers that stop at some point, like randomly... 23. infinite is numbers that go on forever like infinity.

Step-by-step explanation:

Answer:

3.75 hours

Step-by-step explanation:

Let us represent the number of hours = x

The price of Stock A at 9 A.M. Was ​$13.63. Since​ then, the price has been increasing at the rate of ​$0.06 each hour.

$13.63 + $0.06× x

= 13.63 + 0.06x

At noon the price of Stock B was ​$14.38. It begins to decrease at the rate of ​$0.14 each hour.

$14.38 - $0.14 × x

14.38 - 0.14x

If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Stock A = Stock B

13.63 + 0.06x = 14.38 - 0.14x

Collect like terms

0.06x + 0.14x = 14.38 - 13.63

0.20x = 0.75

x = 0.75/0.20

x = 3.75 hours

The prices of the two stocks will be the​ same after 3.75 hours

The probability of incurring a loss when it rains is:P (loss | raining) = 80%So, there is a 20% chance that the food truck will not have incurred a loss when it rains.

The P (not raining | not loss) = 90% × 30% = 27%.Thus, the probability that it had not rained on that randomly selected day given that the food truck did not incur a loss is 27%.

The chance of not raining on a given day in Seattle can be calculated as follows:When it does not rain, there is a 10% probability that the food truck will incur a loss, as given in the statement. Similarly, when it rains, there is an 80% chance that the food truck will incur a loss on that day.

To calculate the probability that the food truck will not have incurred a loss on that day, we must first calculate the probability that the food truck will have incurred a loss on that day.Suppose the probability of rain is 70%, so the chance that it won't rain will be: P (not raining) = 100% - 70% = 30%When it rains, there is a 80% probability that the food truck will have incurred a loss, as given in the statement.

The probability of not incurring a loss when it does not rain is:P (not loss | not raining) = 100% - 10% = 90%The probability of not raining when the food truck does not incur a loss can be calculated as follows:P (not raining | not loss) = P (not loss | not raining) × P (not raining)P (not loss | not raining) = 90%P (not raining) = 30%

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The closest point on the plane X-Y+zw7 to the point (2, 3, 5) is approximately (8.058, -1.058, 1.579).

To find the point on the plane X-Y+zw7 that is closest to the point (2, 3, 5), we need to find the projection of the vector from (2, 3, 5) to the plane X-Y+zw7 onto the normal vector of the plane.

First, we need to find the normal vector of the plane X-Y+zw7.

The coefficients of x, y, and z in the equation of the plane are 1, -1, and w respectively. So, the normal vector of the plane is (1, -1, w).
Next, we need to find the vector from the point (2, 3, 5) to any point on the plane.

We can choose a point on the plane by setting one of the variables to 0. Let's set z to 0, then we have x - y = 7w.

We can choose x = 7w and y = 0, then the corresponding point on the plane is (7w, 0, 0).
The vector from (2, 3, 5) to (7w, 0, 0) is (7w-2, -3, -5). To find the projection of this vector onto the normal vector of the plane, we can use the dot product:
(7w-2, -3, -5) · (1, -1, w) = (7w-2) - 3w - 5w = 2w - 2
The projection of the vector onto the normal vector is (2w-2)/(\(1^2\) + \((-1)^2\) + \(w^2\)) (1, -1, w) = [(2w-2)/(\(w^2\) + 2)] (1, -1, w).
To find the point on the plane that is closest to (2, 3, 5), we add the projection vector to the point (2, 3, 5):
(7w, 0, 0) + [(2w-2)/(\(w^2\) + 2)] (1, -1, w) = (7w + (2w-2)/(\(w^2\)+2), -(2w-2)/(\(w^2\)+2), w(2w-2)/(\(w^2\)+2))
To minimize the distance between this point and (2, 3, 5), we can differentiate the distance squared and set it to zero:
f'(w) = -56\(w^6\) + 12\(w^5\) - 96\(w^4\) + 56\(w^3\) + 48\(w^2\) - 32w - 8 = 0
This equation is difficult to solve analytically, but we can use numerical methods to find the value of w that minimizes the distance.

Using a calculator or a computer program, we find that the minimum occurs at w ≈ 1.092, and the corresponding point on the plane is:
(7w + (2w-2)/(w^2+2), -(2w-2)/(w^2+2), w(2w-2)/(w^2+2)) ≈ (8.058, -1.058, 1.579)

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The area of the square representing the imagined area is 1.20 cm².

Given the ratio of the squares is the same as the ratio in question 1,

we can express it as:4 : 9

Area of square with side 2 cm is given by (side)² = 2² = 4cm²

Area of square with side 3 cm is given by (side)² = 3² = 9cm²

Therefore, the ratio of areas of the square is 4 : 9For the ratio to be (2/15), we have to divide the areas by (4/9):

Therefore, the area of the square representing the imagined area = (2/15) × 9 = 6/5 cm² = 1.2 cm² (approx)

Rounding off the answer to the nearest hundredth of a cm², the area of the square representing the imagined area is 1.20 cm².

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The approximate area of the imagined square by substituting the appropriate values and rounding to the nearest hundredth of a cm\(^2\).

In question 1, the ratio given is \( \frac{2}{15} \), which represents the ratio of the areas of two squares. Let's assume the area of the first square is \( A_1 \) and the area of the second square is \( A_2 \).

We are given that the ratio of the squares' areas is \( \frac{A_1}{A_2} = \frac{2}{15} \).

Now, let's find the area of the square representing the imagined area. Let's call it \( A_{\text{imagined}} \).

Since the ratio of the squares' areas is the same as the ratio \( \frac{2}{15} \), we can set up the following equation:

\( \frac{A_{\text{imagined}}}{A_1} = \frac{2}{15} \)

To find \( A_{\text{imagined}} \), we can rearrange the equation as follows:

\( A_{\text{imagined}} = \frac{2}{15} \times A_1 \)

Now, we need the value of \( A_1 \) to calculate \( A_{\text{imagined}} \). Unfortunately, the specific value of \( A_1 \) is not provided in the question. Therefore, we cannot determine the exact area of the imagined square.

If you have the value of \( A_1 \), please provide it, and I can calculate the approximate area of the imagined square by substituting the appropriate values and rounding to the nearest hundredth of a cm\(^2\).

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Rate of change of given points is 3/2.

Given that

The values of x and y,

x values are 2, 4, 6, 8 and

y values are 5, 8, 11, 14.

To find

Rate of change = ...?

So, according to the question

we have,

The values of x =  2, 4, 6, 8

The values of y =  5, 8, 11, 14.

We know that,

Rate of change = (change in y )/(change in x)

 = \(\frac{8-5}{4-2}\)

  = \(\frac{3}{2}\)

The difference of other points are same, so the rate of change of given coordinates is 3/2.

Rate of change = 3/2

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Based on the histogram above, we will use median to describe this variable.

Hence, option (b) is correct choice.

A histogram is a graphical depiction of data distribution in statistics. The histogram is represented by a series of neighbouring rectangles, with each bar representing a different type of data. Statistics is a branch of mathematics that is used in a variety of areas.

The frequency distribution is represented graphically by a histogram.

The histogram may be analysed as a representation of frequencies and classes as linked rectangles.

Option B is the correct answer to this question.

Because the median is unaffected by big observations, we use it as a measure of central tendency while analysing the left skewed distribution.

The required image/ histogram is attached below:

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Th systems of Linear Inequalities are:

x>=-7,

y<6-2x/3,

y<=-1,

y>3/5x-5,

y<6+5x

Step1:

x>=-7,y<6-2x/3,y<=-1,y> 3/5x-5,y<6+5x: [x>=-7]

[y<6-2x/3]

[y<=-1]

[ y>3/5x-5]

[y<6+5x]

x>=-7

\(3y+2x < 6\sy < =-1\sy > \frac{3}{5}\)

x-5\sy-5x<6

Separate y for 3y+2x6 as follows: y6-2x/3 3y+2x6

Step2:

shuffle twice to the right side

Divide both sides by 3 using the formula 3y/6/3-2x/3.

simplify

3y/3<6/32x/3

Simplify 3y/3 by dividing it by y.

3/3=1

simplify 6/3-2x/3: 6-2x/3

6/3-2x/3

Apply the formula a/c + b/c = a+-b/c = 6-2x/3 y 6-2x/3

Identify y for y-5x6: y6+5x y-5x6.

Y=6+5x move the right side by 5x.

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Answer:

53.3333333333333

Step-by-step explanation:

I just divied 600 with 11.25

Please refer the attached pictures.

Hope this helps! :D

Answer:

See below

Step-by-step explanation:

a)

b)

c)

d)

e)

f)

1.2m - 0.2 = 3.8 + m

g)

Answer:

-15

Step-by-step explanation:

(5)(−2)−(21−(3−11)(−2))

=−15

HAve a wonderful day Brainliest Please.

Answer:

Step-by-step explanation:

The statement "z = 3.14, p < 0.05" suggests that a z-test was performed and the resulting z-value is 3.14, with a corresponding p-value less than 0.05.

Based on this information, the interpretation that is TRUE is:

b. There is a significant difference between the sample value and the population.

A p-value less than 0.05 indicates that the probability of obtaining a z-value as extreme or more extreme than 3.14 under the null hypothesis is less than 5%. This suggests strong evidence against the null hypothesis, which typically assumes no difference between the sample value and the population. Therefore, we can conclude that there is a significant difference between the sample value and the population.

The angles x of the right angle triangle is 36.87 degrees.

A right angle triangle is a triangle that has one angle as 90 degrees. The angles of a right angle triangle can be found using trigonometric ratios.

Therefore, let's find the angle M(x)

sin x = opposite / hypotenuse

where

Therefore,

sin x = 6 / 10

sin x = 0.6

x = sin⁻¹ 0.6

x = 36.8698976458

x = 36.87 degrees.

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The rectangle with:

Factorize the volume expression

If a > 4, then:

Since the longest dimension is the length, it is

The breadth is the middle dimension,  it is

The height is the smallest dimension, it is

The area of the floor is:

Answer:

i)  length > 9 ft

   breadth > 5 ft

   height > 3 ft

ii)  Area of floor > 45 ft²

Step-by-step explanation:

Volume of a rectangular prism

\(\textsf{V}=lbh\)

where:

Given:

Part (i)

To find expressions for the 3 dimensions of the tank, factor the expression for Volume.

Using the Factor Theorem, if V(x) = 0 then (a - p) is a factor:

\(\implies \sf V(1)=2(1)^3+(1)^2-2(1)-1=0\)

\(\implies \sf V(-1)=2(-1)^3+(-1)^2-2(-1)-1=0\)

Therefore  (a - 1)  and  (a + 1)  are factors:

\(\implies \sf 2a^3+a^2-2a-1=(a-1)(a+1)(2a+p)\)

(where p is a constant to be found)

To find the value of p, expand:

\(\implies \sf 2a^3+a^2-2a-1=2a^3+pa^2-2a-1\)

and compare coefficients:

\(\implies \sf a^2=pa^2 \implies p=1\)

Therefore:

\(\implies \sf 2a^3+a^2-2a-1=(a-1)(a+1)(2a+1)\)

If  l > b  and  b > h  then:

If a > 4 ft then:

Part (ii)

The area of the floor can be found by multiplying the found expressions for breadth and length:

\(\begin{aligned}\implies \sf Area\:of\:floor & =(a+1)(2a+1)\\& = 2a^2+3a+1\end{aligned}\)

If a > 4 ft then Area of floor > 45 ft²

We are given a table of temperatures that are being maintained at different times in a greenhouse . We are to consider that the temperatures increase at a constant rate and we are asked to create a graph for this.