Quadrilateral A B C D is translated up and to the right and then is rotated 180 degrees about point Q to form quadrilateral X Y Z W. Quadrilateral ABCD is translated up and to the right, and then rotated about point Q. Which congruency statement is correct? ABCD ≅ WXYZ ABCD ≅ ZYXW ABCD ≅ WZYX ABCD ≅ ZWXY.

The average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

Given,

Benny's arcade has five video game machines

The average time between failures = 34 hours

The maintenance engineer can repair a machine in about = 13 hours

The failure time and repair times are both exponentially distributed

The formula for the mean of an exponential distribution is mean = 1/λ where λ is the rate parameter of the distribution.

In this problem, the rate parameter of both the failure time and repair time is the reciprocal of their respective averages. Therefore,

λ_f = 1/34λ_r = 1/13

Now, let's find the average time from when a machine breaks until it is fixed using the fact that the sum of two independent exponential distributions with rate parameters λ1 and λ2 is itself an exponential distribution with rate parameter λ1+λ2.

So, the rate parameter for the time from when a machine breaks until it is fixed is λ_f+λ_r = 1/34+1/13

= 0.0885 hours⁻¹ (approximately)

Hence, the average time from when a machine breaks until it is fixed is mean = 1/λ= 1/0.0885 ≈ 11.3 hours (approximately).

Therefore, the average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

To know more about average visit:

https://brainly.com/question/897199

#SPJ11

Answer:

24

Step-by-step explanation:

-6*(-4)

The negative signs cancel:

6*4

24

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

To find the profit-maximizing conditions with third-degree price discrimination, we need to equate the marginal revenue (MR) to the marginal cost (MC) for each market segment.

Given the demand equations and the total cost function:

Market 1: Q1 = 160 - 10P1 or P1 = 16 - 0.1Q1

Market 2: Q2 = 200 - 20P2 or P2 = 10 - 0.05Q2

Total Cost: TC = 120 + 4Q

To find the profit-maximizing prices and quantities, we equate MR to MC for each market segment:

MR1 = MC:

16 - 0.2Q1 = 4

0.2Q1 = 12

Q1 = 60

MR2 = MC:

10 - 0.1Q2 = 4

0.1Q2 = 6

Q2 = 60

Substituting the quantities back into the demand equations, we find:

P1 = 16 - 0.1(60) = 10

P2 = 10 - 0.05(60) = 7

The total revenue (TR) can be calculated by multiplying the price by the quantity for each market segment:

TR = P1 * Q1 + P2 * Q2

TR = (10 * 60) + (7 * 60)

TR = 600 + 420

TR = 1020

The total cost (TC) is given by the total cost function:

TC = 120 + 4Q

TC = 120 + 4(60 + 60)

TC = 120 + 480

TC = 600

Finally, the profit (π) can be calculated by subtracting total cost from total revenue:

π = TR - TC

π = 1020 - 600

π = 420

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

Learn more about absence here:

https://brainly.com/question/30062518

#SPJ11

The minimum is 23, maximum is 60, Q1 is 30, Q2 is 49 and Q3 is 55.5 in box plot.

Arrange the data in ascending order: 23, 26, 34, 37, 49, 51, 52, 59, 60.

Find the median (middle value) of the data set.

Since there are an odd number of data points (9), the median is the middle value, which is 49.

Find the lower quartile (Q1). This is the median of the lower half of the data set. In this case, the lower half is {23, 26, 34, 37}.

The median of this subset is (26 + 34) / 2 = 30.

Find the upper quartile (Q3). This is the median of the upper half of the data set. In this case, the upper half is {51, 52, 59, 60}.

The median of this subset is (52 + 59) / 2 = 55.5.

The minimum is 23, and the maximum is 60.

To learn more on Box plot click:

https://brainly.com/question/14277132

#SPJ1

The region in the plane for points with polar coordinates 2 < r < 3 and 5π/3 ≤ θ ≤ 7π/3.


Identify the range of r and θ: In this case, 2 < r < 3 and 5π/3 ≤ θ ≤ 7π/3. Draw the polar coordinate plane (with an origin, labeled "O") and radial lines representing the angles θ.Mark the angle 5π/3 on the plane, which is located in the fourth quadrant (5π/3 = 300°). Draw a radial line from the origin to represent this angle.

Mark the angle 7π/3 on the plane, which is also located in the fourth quadrant (7π/3 = 420°, but since 360° brings us back to the origin, it is equivalent to 60°). Draw a radial line from the origin to represent this angle.Draw two concentric circles around the origin with radii 2 and 3. These represent the range of r values.

Shade the region in the plane that is bounded by the radial lines, as well as the circles with radii 2 and 3. This is the region consisting of points whose polar coordinates satisfy the given conditions.

Your sketch should now show the region in the plane for points with polar coordinates 2 < r < 3 and 5π/3 ≤ θ ≤ 7π/3.

To know more about polar coordinates, refer to the link:

https://brainly.com/question/11657509#

#SPJ11

The 20 ft/sec is the timing of the string when 500 ft of string has been let out for the kite at a height of 300 ft, the wind carrying the kite horizontally away from her at a rate of 25 ft/sec.

Let dd be the real distance among the kite and the female, vv be the vertical distance among the female and the kite, and hh horizontal distance. Since the vertical distance is a constant (v = 300v=300) we understand that:

v^2 + h^2 = d^2 quad Rightarrow quad 300^2 + h^2 = d^2v 2 +h 2 =d 2 ⇒300 2 +h 2 =d 2

wherein dd and hh are capabilities of time tt, this means that that:

2hdfrac = 2ddfrac2h dtdh =2d dtdd

Since the vertical distance is v=300v=300, and the real distance is d = 500d=500, we understand that:

300^2 + h^2 = 500^2 quad h = sqrt = 400300 2 +h 2 =500 2 ⇒h= 500 2 −300 2 =four hundred

We're inquisitive about the price of extrade of the real distance dd so we have:

begin color dfrac &= dfrac cdot h cdot dfrac = dfrac cdot four hundred cdot 25 = color 20 text enddtdd = d1 ⋅h⋅ dtdh = 5001 ⋅four hundred⋅25=20 ft/sec

Read more about distance;

https://brainly.com/question/17273444

#SPJ4

The equation in slope-intercept form that represents the situation is y = 7x - 598

The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.

The ordered pair are ( 98, 88) and (107, 151)

Equation of line in slope-intercept form is y = mx + c

at x = 98, y =88

so that by substituting we have,

88 = 98m + c -------------------1

at x = 107, y = 151 and by substituting we have

151 = 107m + c -----------------2

subtract equation 1 from 2

63 = 9m

m = 63/9

m = 7

substitute m = 7 in equation 1

88 = 98(7) + c

c = 88 - 686c

c = -598

substitute m and c for their values equation becomes

y = 7x - 598

In conclusion, the equation in slope-intercept form is y = 7x - 598

Learn more about slope: https://brainly.com/question/3493733

#SPJ1

The mood of the argument is categorical and the figure is EIO. To determine the mood and figure of the given argument, we'll first identify the premises and conclusion, and then assign the appropriate categorical proposition to each statement.

The argument can be rewritten as:

Premise 1: Some dictators are not warmongers. (Some D are not W)
Premise 2: No dictators are egomaniacs. (No D are E)
Premise 3: Some egomaniacs are warmongers. (Some E are W)
Conclusion: Some dictators are not warmongers. (Some D are not W)

Now, let's assign the categorical propositions to each statement:
Premise 1: I (Some D are not W)
Premise 2: E (No D are E)
Premise 3: I (Some E are W)
Conclusion: O (Some D are not W)

The mood of the argument is IEO.

Next, we'll determine the figure by looking at the placement of the middle term (E) in the premises:
Premise 2: No D are E (subject-middle term)
Premise 3: Some E are W (middle term-predicate)

The figure is 1 because the middle term is the subject of one premise and the predicate of the other premise.

So, the mood and figure of the argument are IEO-1. Therefore, the correct answer is:

IEO - 1

Learn more about warmongers at: brainly.com/question/28860305

#SPJ11

Answer:

Yes, I think. I could be wrong but hopefully not!

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

it follows a pattern so it is a function. I am pretty sure about this because I learned about functions and non functions a few classes ago.

-27 is an integer

It's not a whole number because a whole number is all POSITIVE whole numbers and ZERO.

It could be rational number but integer is more specific, so the answer is A. integer

Answer:

-2 or basement

Step-by-step explanation:

there maybe a basement on the building

The number of hot cocoas the Ai Mi would be expected to sell with a high temperature of 64 ºF is given as follows:

60.

As the graph of the linear function is given, the most practical way to define the function is using the slope-intercept format, as follows:

y = mx + b.

In which the coefficients are given as follows:

From the graph, when x = 0, y = 111, hence the intercept b is given as follows:

b = 111.

When x increases by 5, from 0 to 5, y decays by four, from 111 to 107, hence the slope m is obtained as follows:

m = -4/5

m = -0.8.

Hence the function that predicts the amount of hot cocoa sold for a high temperature of x ºF is given as follows:

y = -0.8x + 111.

The prediction for a high temperature of x = 64 is given as follows:

y = -0.8(64) + 111

y = 60 hot cocoas, rounded.

The graph is given by the image presented at the end of the answer.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Greek number prefixes are employed in the naming of molecular (covalent) substances.

Greek number prefixes are employed in the naming of molecular (covalent) substances. Prefixes are always combined in order of size (left-to-right in the table below). For instance, "heptadecatetracta" (7 + 10 + 400) would be the prefix for the number 417.

We utilise prefixes (mono-, di-, tri-, etc.) at the beginning of each element in molecular compounds to denote the element's subscript, but we only use the prefix mono- for the compound's second element.

To know more about naming of compound, visit,

https://brainly.com/question/30914899

#SPJ4

Answer:

1254 Dont use this answer sorry

Step-by-step explanation:

The correct answer is option b. The random variable in this experiment is the number of days out of 3 that Pete catches fish.

Pete's probability of catching fish on any given day is.8, and the number of days for which he is fishing is three. This experiment has no bearing on the number of fish in the water.

The mathematical discipline of the probability is concerned with numerical descriptions of the likelihood of an event or proposition being true. A number between 0 and 1 indicates the likelihood of an event, with 0 representing impossibility and 1 representing the certainty.

Learn more about Probability here:

https://brainly.com/question/251701

#SPJ4

Complete Question:

the probability pete will catch fish when he goes fishing is .8. pete is going fishing 3 days next week.

what is the random variable in this experiment?

a. the .8 probability of catching fish

b. the number of days out of 3 that peter catches fish

c. the 3 days

d. the number of fish in the body of water

It is given that the radius increases at the rate of 7 cm per second, that is 7 cm in 1s.

It follows that after 4s since backing away, the increase in radius is:

Add the increase to the initial length of the radius:

Hence, the radius 4s after you start backing away is 33 cm.

After 7s, the increase in radius will be:

Add this increase to the initial length of the radius:

Hence, the radius 7s after you start backing away is 54 cm.

Answer:

Width = 5.91m

Length: 7.1m

Step-by-step explanation:

Width: x

Length: 1.2x

2x + 2(1.2x) = 26m

2x + 2.4x = 26m

4.4x = 26m

x = 26m/4.4

x = 5.91

According to the Pythagorean Theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs of a right triangle.

In other words, \(a^2 + b^2 = c^2\) for the triangle depicted below.

The right triangle's legs, a and b, are perpendicular sides, and the hypotenuse, c, is the side that faces away from the right angle.

Construction projects and almost anything involving right triangles, such as roofing for homes, are common uses for this application.

Hypotenuse² = Base² + Perpendicular²

The Pythagorean Theorem is used in a variety of computations. For instance, it may be used to determine the height and distance of straight and fallen trees, as well as the steepness of hills and mountains.

For such more question on Pythagorean theorem.

https://brainly.com/question/343682

#SPJ4

Answer:

\( \sqrt{9 } = 3 \)

The value of the sample statistic is used to estimate the value of the population parameter.

The population parameter is found by using the population statistic to predict the population estimate.

This is because the sample statistic is based on the sample produced from the population so it can therefore be used to find out more on the population.

Options for this question are:

Find out more on population parameters at https://brainly.com/question/2292917

#SPJ4

The translations performed are

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

f(x) = ln(x)

g(x) = -ln(x + 1) - 3

First, we have the transformation to be:

From f(x) = ln(x) to f(x) = -ln(x)

This means a reflection across the x-axis

Next, we have

From f(x) = -ln(x) to f(x) = -ln(x + 3)

This means the function is translated left by 3 units

Next, we have:

From f(x) = -ln(x + 3) to f(x) = -ln(x + 3) - 3

This means the function is translated down by 3 units

Hence, the translation is 3 units left and 3 units down

Read more about transformation at

brainly.com/question/27224272

#SPJ1

Answer:

Chemical Change-

Answer:

5

Step-by-step explanation:

First let turn 25 into a fraction

\(\frac{25}{1}*\frac{1}{5}\)

Multiply

\(\frac{25}{5}\)

Divide/Simplify

\(=5\)

Answer = 5

[RevyBreeze]

Answer:

attached

Step-by-step explanation:

Please try to create table yourself. just plug in the x value to calculate the y value, such as x=-5, y=-2; x=-6, y=-2... or x=-1, y=-1-3=-4 ...etc

Using the binomial distribution, it is found that she should expect to roll the number cube 46 times.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected number of trials until q successes is:

\(E_s(X) = \frac{q}{p}\)

In this problem:

Then:

\(E_s(X) = \frac{23}{0.5} = 46\)

She should expect to roll the number cube 46 times.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

answer is 46.

Step-by-step explanation:

Answer:

5.5, 6, and 7.25

Step-by-step explanation:

3 numbers equal 18.75 tells us:

a + b + c = 18.75, where a, b, and c are the 3 unknown numbers respectively.

Next, we know that the range is 1.75. Let us consider that c is the greatest value and a is the smallest value. Thus, we can write

c - a = 1.75

Lastly, we know that there is a median of 6. This tells us that the "middle" number (which in this case would be b if c is greatest and a is smallest) should be 6.

b = 6.

Substituting we can write,

a + c + 6 = 18.75

a + c = 12.75

Also,

c - a = 1.75

c = a + 1.75

Substituting back into the other equation we get,

a + ( a + 1.75) = 12.75

2a + 1.75 = 12.75

2a = 11

a = 5.5

Now, we can find the last number.

c = (5.5) + 1.75

c = 7.25

Plug all 3 numbers back into the original equation to verify if our numbers are correct:

5.5 + 6 + 7.25 = 18.75

Thus, we know we are correct.

⭐ Please consider brainliest! ⭐

Given:

Given that

Required:

To find the other five trig ratio.

Explanation:

Now the hypotenuse is,

Now,

Final Answer:

The six trig ratio are

It is said that speeds up at a rate of 3 m/s each second for 10 seconds.

Acceleration is the change in velocity or speed per second. The change in velocity is the same for every second for the car, which is 3m/s. So, since the change in velocity per second is the same, the car is in constant acceleration. The answer is option D.