Is the graph linear or non-linear?

The mean time to repair (MTTR) is 20 hours.

What is  MTTR?

Mean time to repair = Total hours spent on corrective maintenance / Number of maintenance actions completed

Mean time to repair = 1,200/60

Mean time to repair = 20 hours

Therefore, the mean time to repair is 20 hours.

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Step-by-step explanation:

I am in class 7 If I know I tell you I am go to ask my teacher

Answer:

Domain:(−∞,5)∪(5,∞),{x|x≠5}

Range:(−∞,3)∪(3,∞),{y|y≠3}

Step-by-step explanation:

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P = 2(a+b)

a = side

b = base

The perimeter of the parallelogram is \(\sqrt[2]{29}+ \sqrt[6]{6}\)

Since the coordinates are  (2,10), (4,2), (7,8) and (-1,4).​

Now for determining the perimeter first we have to calculate the distance of AB and BC

So,

For AB, the distance is

\(= \sqrt{(2-7)^2 + (10-8)^2}\\\\ = \sqrt{29}\)

Now

For BC, the distance is

\(= \sqrt{4-7)^2 + (2-8)^2}\\\\ = \sqrt{54}\\\\= 3\sqrt{6}\)

Now the perimeter is

= 2(AB + BC)

= \(2(\sqrt29 + 3\sqrt 6)\)

= \(\sqrt[2]{29}+ \sqrt[6]{6}\)

Therefore, The perimeter of the parallelogram is \(\sqrt[2]{29}+ \sqrt[6]{6}\)

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Answer:

5\(x^{2}\) = 344.45

\(x^{2}\) = 68.89

x = ± \(\sqrt{68.89}\)

x = 8.3, −8.3

Answer: 421.1

Step-by-step explanation:

Area of parallelogram \(= lenth*perpendicular\) \(height\) \(=12*22=264\)

Area of semicircle \(=\frac{1}{2}\pi r^{2}=\frac{1}{2} \pi \frac{20}{2}x^{2} =\frac{1}{2}\pi *10x^{2} = \frac{1}{2}\pi *100 = 50\pi =157.079632679\)

We know that 20 is the diameter of the semicircle since it is a trapezium

Add together the area of the semicircle and parallelogram to get the total area: \(264+157.079632679=421.079632679=421.1 (1dp)\)

Answer:

Sorry if i'm wrong.

=6x² + 16x - 2

Answer:14.33

Step-by-step explanation:

Answer:

Step-by-step explanation:

For the first one you can round 156 to 160 because 16 divided by 8 is 2 so 160 divided by 8 is 20. For the second one you can round 48 to 50 and 32 to 30 because 50 times 30 is 1,500. For the last one, add the 12 to the -8 which is 4. b=4.

Variance and Standard deviation can tell us the variation of data within a group of samples.

What is a variance?

Variance is a term used in probability theory and statistics to measure how far a group of numbers are spread out from their mean value.

In the context of hypothesis testing, the variance of two groups of data is compared to see if they are statistically significant.

A smaller variance indicates that the data points are closer together, whereas a larger variance indicates that the data points are farther apart.

What is Standard deviation?

The standard deviation is the square root of the variance, and it is used to express the average distance that data points deviate from the mean in a group of samples.

It is used in statistics to measure how tightly a set of data is clustered around its mean.

What is Mean?

The average value of a group of numbers is referred to as the mean.

It is calculated by adding all of the numbers together and then dividing by the total number of numbers.

What is T-value?

The t-value is used to test the null hypothesis, which states that there is no significant difference between two groups of data.

The t-value is calculated by subtracting the mean of one group from the mean of the other group and then dividing by the standard deviation of the two groups combined.

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Answer:

4

Step-by-step explanation:

Hello There!

To find the slope we can use the slope formula

let m = slope

\(m = \frac{y_2-y_1}{x_2-x_2}\)

now lets find two points so we can plug the values into the formula

the points chosen is optional but the points i chose were

(5,20) and (15,60)

remember when plugging in the values into the formula we plug in the second ordered pair first so

also remember that the y values go on top and the x values go on the bottom

\(m = \frac{60-20}{15-5} \\60-20=40\\15-5=10\\m=\frac{40}{10} or 4\)

So we can conclude that the slope of the line is 4

Plot the circle on a coordinate plane, with the center at (-1, -2) and a radius of 7 units.

To graph the equation of the circle x^2 + y^2 + 2x + 4y - 44 = 0, we can follow these steps:

1. Complete the square for the x-terms:

  Rearrange the equation to group the x-terms together:

  x^2 + 2x + y^2 + 4y = 44

  To complete the square for the x-terms, add (2/2)^2 = 1 to both sides of the equation:

  x^2 + 2x + 1 + y^2 + 4y = 44 + 1

  Simplify:

  (x + 1)^2 + y^2 + 4y = 45

2. Complete the square for the y-terms:

  To complete the square for the y-terms, add (4/2)^2 = 4 to both sides of the equation:

  (x + 1)^2 + y^2 + 4y + 4 = 45 + 4

  Simplify:

  (x + 1)^2 + (y + 2)^2 = 49

3. Identify the center and radius:

  The equation is now in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2

  Comparing this with our equation, we can see that the center of the circle is (-1, -2) and the radius is √49 = 7.

4. Plot the graph:

  The center of the circle is (-1, -2), which represents the point where the circle is centered. From this point, we can draw a circle with a radius of 7 units in all directions.

By following these steps, we can plot the circle on a coordinate plane, with the center at (-1, -2) and a radius of 7 units.

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Answer:

Ste p-by-step explanation:

Answer: 8=4+4, 50=25+25

Answer:

8hr=480min

30min=1800sec

15hr=900min

5yr=1825d

Step-by-step explanation:

The statement "If x = -10, then x² = 100" is false. When we square -10, we get 100, so the correct statement would be "If x = -10, then x² = 100."

The statement that is NOT true is:

If x = -10, then x² = 100.

The other three statements are all true:

If x² = 100, then x = 10.This is true because the square root of 100 is ±10, and when we take the square root, we consider the positive square root, which is 10.

If x = 10, then x² = 100. This is also true because when we square 10, we get 100.The statement x² = 100 if and only if x = 10 or x = -10 is true.

This statement is based on the fact that the square root of 100 is ±10, so when we square either 10 or -10, we get 100.

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Boi it easy:

40 x 6 = 240

100 x 6 = 600

Step-by-step explanation:

24+240+600 = 864

6x144 = 864

Answer:

the second graph is likely the continuous one because the first graph stops on the x-axis

Answer:

n term=a+(n-1)r

Step-by-step explanation:

l do not understand question clearly.

Answer:

AAA

Step-by-step explanation:

There's no angle angle angle (AAA) because all triangle's angles add up to 180

Step-by-step explanation:

let the total weight of 15 boys is x

x/15=65

x=975

now one more boy joins the group whose weight is 45 kg

975+45/16=1020/16

the average weight of all boys is 63.75

Answer:

63.75 kg

Step-by-step explanation:

First of all, find the total weight of the 15 boys. you then add the weight of the new boy and divide by 16

Let the total weight of the 15 boys be x

x / 15 = 65 kg

To find the total, multiply 65 kg by 15 which is equal to 975kg

The total weight of the sixteen boys = 975 + 45 = 1020 kg

Average weight of all the boys = 1020 ÷ 16 = 63.75 kg

Answer: 31 miles per gallon

Step-by-step explanation:

The 8 gallons divided among the 248 miles; simplifying this ratio of 248:8, which is a whole number, leaves the answer as 31 miles per gallon. In other words, every 31 miles a gallon of gas is consumed.

The correlation coefficient between history and math exam scores is of -0.1321, which means that there is a weak negative correlation between history grades and math grades.

Using a calculator, inserting the history and math scores, the coefficient is of -0.1321, which means that there is a weak negative correlation between history grades and math grades.

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Answer:

-13 - 5i

Step-by-step explanation:

\(( - 1 + 2i) - (12 + 7i) \\ - 1 + 2i - (12 + 7i) \\ - 1 + 2i - 12 - 7i \\ - 13 + 2i - 7i \\ = - 13 - 5i\)

Answer:

\(→( - 1 + 2i) - (12 + 7i) \\ = - 1 + 2i - 12 - 7i \\=-1-12+2i-7i \\ = \boxed{ - 13 - 5i}✓\)

Answer:

\(y = \frac{3}{2} x + 5\)

Step-by-step explanation:

\(y = mx + b\)

m = slope

b = y intercept

\(y \: = \frac{3}{2} x + 5\)

Ranking the functions in order of how quickly they grow as x approaches infinity:

y = \(2^{x\)

y = \(3^x\)

y = \(e^{(x/2)\)

y = \(e^{(x/3)\)

To rank the functions in order of how quickly they grow as x approaches infinity, let's analyze the exponential growth rates of each function:

y = \(2^{x\):

As x approaches infinity, the function \(2^{x\) grows exponentially. Each increase in x by 1 results in a doubling of the function's value. For example, \(2^1\) = 2, 2² = 4, 2³ = 8, and so on. This exponential growth makes y = \(2^{x\) grow the fastest among the given functions.

y = \(3^x\):

Similar to the previous function, as x approaches infinity, the function \(3^x\)also grows exponentially. Each increase in x by 1 results in a tripling of the function's value. For instance, \(3^1\) = 3, 3² = 9, 3³ = 27, and so forth. However, the growth rate  \(3^x\) is slightly slower than that of \(2^{x\), placing it in the second rank.

y = \(e^{(x/2)\):

In this function, e represents Euler's number, approximately equal to 2.71828. As x approaches infinity, the function \(e^{(x/2)\) exhibits exponential growth, but at a slower rate than the previous two functions. The exponent x/2 acts as a divisor, causing the growth rate to be slower compared to y = \(2^{x\) and y = \(3^x\).

y = \(e^{(x/3)\):

Similarly, this function also involves Euler's number e, but with an exponent x/3. As x approaches infinity, the function \(e^{(x/3)\) experiences the slowest growth rate among the given functions. The exponent x/3 acts as a larger divisor than x/2, resulting in a significantly slower growth rate.

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A substitute is a good or service that buyers can quickly swap out for another. For instance, a one-dollar bill can be used in place of another dollar bill.

In business and economics, a replacement, or substitutable good, is a good or service that consumers perceive as just being substantially the same as or reasonably similar to some other good. Consumers are given options and alternatives through substitutes, which also spur competition and lower prices in the market.

Here are a few examples of replacement goods:

1. A $1 bill can be exchanged for four quarters.

2. Coke against Pepsi

3. Regular vs. premium gas

4. Butter and lard

5. Tea and coffee

6. Apples and oranges

7. Comparing driving a car to riding a bike

8. Books in general and e-books

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You hiked a total distance of 4 1/4 to get to the overlook

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:

Total hike = Initial hike + Distance hiked when turned right

substitute the known values in the above equation, so, we have the following representation

Total hike = 1 3/4 + 2 1/2

Evaluate the expression

So, we have

Total hike = 4 1/4

Hence, the total distance hiked is 4 1/4

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a) An exponential growth equation or function representing the price y of a new HD television t years from now is y = 2500(1 + 0.04)^t.

b) Using the exponential growth equation above, the time when a new HD television will $3,000, based on the current cost of $2,500, is 4.65 years.

c) If the couple decides to save $2,200 in a savings account with 4.7% interest compounded continuously, the time when the amount n their savings will exceed the cost of a new television is after 6 years and 7 months.

An exponential growth equation is one of the two exponential functions, including exponential decay equation.

An exponential growth equation is written in the form of f(x) =a(1+r)^x, where:

f(x) = exponential growth function

a = initial amount

r = growth rate

{x} = number of time intervals.

An exponential growth equation shows the increase of a value at a consistent periodic rate.

The current cost of HD television = $2,500

The increasing annual rate = 4% or 0.04

a) Exponential growth function, y = 2500(1 + 0.04)^t

b) 3,000 = 2500(1.04)^t

I/Y (Interest per year) = 4%

PV (Present Value) = $2,500

PMT (Periodic Payment) = $0

FV (Future Value) = $-3,000

Results:

N = 4.65

= 4 years and 8 months

Principal = $2,200

Interest rate = 4.7%

Future Value = A = P(1 + r/n)^nt

2,200 x 2.718^0.047t

t = 6 years and 7 months

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