What
is the image of (-5, 3) after a reflection over the x-axis?

The function f(x) = (3/2)e^(-3x/2) on the interval [0, ∞) is not a valid probability density function because its integral over the entire domain does not equal 1.

The given function f(x) = (3/2)e^(-3x/2) on the interval [0, ∞) is a probability density function (PDF) of a continuous random variable.

To verify that f(x) is a valid PDF, we need to check the following properties:

Non-negativity: The function f(x) is non-negative for all x in its domain. In this case, f(x) = (3/2)e^(-3x/2) is always positive for x ≥ 0, satisfying the non-negativity condition.

Integrates to 1: The integral of f(x) over its entire domain should equal 1. Let's calculate the integral:

∫[0, ∞) f(x) dx = ∫[0, ∞) (3/2)e^(-3x/2) dx.

To evaluate this integral, we can make a substitution u = -3x/2 and du = -3/2 dx. When x = 0, u = 0, and as x approaches infinity, u approaches negative infinity. Thus, the limits of integration become 0 and -∞.

∫[0, ∞) f(x) dx = ∫[0, -∞) -(2/3)e^u du.

Applying the limits of integration and simplifying, we get:

∫[0, ∞) f(x) dx = -(2/3) ∫[-∞, 0) e^u du.

Using the properties of the exponential function, we know that ∫[-∞, 0) e^u du equals 1. Therefore:

∫[0, ∞) f(x) dx = -(2/3) * 1 = -2/3.

Since the integral of f(x) over its entire domain is -2/3, it is not equal to 1. Therefore, the given function f(x) does not satisfy the property of integrating to 1, and thus, it is not a valid probability density function.

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Answer:

y ≤ 1/2x + 5

Step-by-step explanation:

-3x + 6y ≤ 30

add 3x on both sides:

6y ≤ 3x + 30

divide 6 on both sides:

y ≤ 3/6x + 30/6

This is simplified to:

y ≤ 1/2x + 5

Answer:

3

Step-by-step explanation:

divide one side of the bigger triangle by the corresponding side of the smaller one

Answer:

3

Step-by-step explanation:

Divide the bigger triangle by the little one

3/1=3

then 12/4=3

Answer:

9/5

Step-by-step explanation:

Answer:

m= 9/5

Step-by-step explanation:

Explanation:

The first step is to identify the time units you're interested in.

If your number is a number of hours, and you want the value in hours, then you already have 1/50 hours, and no conversion is necessary. Of course, you may want to express that as a decimal: 0.02 hours.

If you have 1/50 years, and you want to convert to days, then you need to use a conversion factor. We generally write those as a fraction with the same value in numerator and denominator, but with units chosen to give the ones we want.

  (1/50 years) × (365 days)/(1 year)

  = (365/50) (years·days/years) = 7.3 days

__

Often, there is some difficulty with hours, minutes, and seconds. The same process as above is used for each of the various time divisions.

Using our example of 1/50 years, we now have 7.3 days. Continuing the conversion to finer units of time, we recognize that ...

  0.3 days = (0.3 days) × (24 hours)/(1 day)

  = (0.3×24) days·hours/days = 7.2 hours

and

  0.2 hours = (0.2 hours) × (60 minutes)/(1 hour)

  = (0.2×60) hours·minutes/hour = 12 minutes

In the end, we have ...

  1/50 year = 7 days 7 hours 12 minutes.

Answer: The equation can also be used to find the perimeter of the rectangle  P = 4 × ( l + w).

Step-by-step explanation:

Given data,

A rectangle has a length of 6 feet and a width of 4 feet.

The perimeter of the rectangle can be found using the equation =2×6+2×4.

                        P = 2×6+2×4

Let l be the length and w be the width of a rectangle.

Since there four sides of a rectangle, the perimeter is given by adding all the sides.

Therefore perimeter of the rectangle is given by

                    = l + l + b + b

                    = 2×l +2×w

                    = 2 × ( l + w).

The equation given by 2 × ( l + w) can also be used to find the perimeter of any given rectangle.

We can use,

                          P = 4x4x6

Therefore perimeter of the rectangle is given by

                           = l + l + b + b

                           = 4×l +4×w

                           = 4 × ( l + w).

substitute l and w values,

Then,

                           = 4 × ( l + w)

                        P = 4 × ( 6 + 4).

The equation given by 4 × ( l + w) can also be used to find the perimeter of any given rectangle.

Therefore,

The equation can also be used to find the perimeter of the rectangle P = 4 × ( l + w).

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Aira should must score a total of 179 combined in her next two quizzes in order to make the average of all the marks of the quizzes as 83.

Aira has got 76, 85, 81 and 77 marks in her 4 quizzes.

I have to give two more quizzes and the marks obtained in those two quizzes should be such that the average of all the quizzes should be 83.

We know that we can find the average of the data by taking the sum of all the given values and dividing that particular value by the number of data given to us.

Here in this case let assume that she obtained X marks in her next to test combined. Now this way total number of observation are 6.

Now, we can simply apply the formula to find the average of the data.

Average = (76 + 85 + 81 + 77 + X)/6

83 = (76 + 85 + 81 + 77 + X)/6

X = 179

So, Aira should obtain 179 marks in her next to quizzes in order to make the average of all the score equal to 83.

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Answer:

20. a

21. d

22. c

Step-by-step explanation:

20. linear function

if x changes by 1, y changes by -3 => the slope is constant

21. y = 4(1/2)^x

if x = 0, y = 4, so c is false

if x = 1, y =2, so a is false

if x = -1, y = 8, so b is false

then d is the correct answer

22. y = 8 x 2^x

if x = 0, y = 8, so d is false

if x = 2, y = 32, so a is false

if x = -2, y = 2, so b is false

then c is the correct answer

The valid conclusion is  A.  We can be 90% ... the mean amount ... is between $217 and $677.

The confidence interval used by the student researcher refers to the probability that the university's population parameter (average amount that students spent on sporting events last year) will fall between $217 and $677 for 90% of the time.

A confidence interval is the mean of your estimate plus and minus the variation in that estimate. This is the range of values you expect your estimate to fall between if you redo your test, within a certain level of confidence. Confidence, in statistics, is another way to describe probability.

Thus, the interval measurement gives the researcher some degree of certainty that the calculated sample mean falls within the population mean most of the time.

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The complete question is:-

marketing student is estimating the average amount of money that students at a large university spent on sporting events last year. He asks a random sample of 50 students at one of the university football games how much they spent on sporting events last year. Using this data he computes a 90% confidence interval, which turns out to be ($217, $677). Which one of the following conclusions is valid? We can be 90% confident that the mean amount of money spent at sporting events last year by all the students at this university is between $217 and $677. 90% of the sample said they spent between $217 and $677 at sporting events last year. No conclusion can be drawn.

Answer:The answer is ≥ greater than or equal to

can you mark me Brainliest please

The domain of the function exists \($(-\infty, \infty)$\) range be \($[0, \infty]$\).

The components of a function are its Domain and Range. In contrast to a function's range, which is the set of all potential outputs, a function's domain is the set of all possible inputs.

All x-values, or inputs, and all y-values, or outputs, make up a function's domain and range, respectively. When viewing a graph, the domain consists of all of the graph's values from left to right. The graph's entire range, from the bottom to the top, is the range.

By listing all of the values in the column that corresponds to the input values on a mapping diagram, the domain of the function may be identified.

In general, the domain of any polynomial is \($(-\infty, \infty)$\).

The range of a positive polynomial \($y=x^a$\) where a is even is \($[0, \infty]$\).

Therefore, the domain exists \($(-\infty, \infty)$\)

Range exists \($[0, \infty]$\).

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Answer:

x = 2

Step-by-step explanation:

3x - x = 4

2x = 4

x = 2

Answer:

x=2

Step-by-step explanation:

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

$1.60

Step-by-step explanation:

20% of $8.00 is actually 0.20 x 8

0.20 x 8 = 1.60

Answer:

$1.60

Step-by-step explanation:

First, convert the 20% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 20%) by 100%.So, the conversational term "20%" becomes 20% / 100% = 0.20

Second, you need to find out what 20% of your $8.00 meal cost is.This is always done by multiplying 0.20 by $8.00, or

0.20 x $8.00=$1.60.

So, the amount of tip you are going to leave is $1.60.

The exact value of the expression is -1.

The expression involves tan 25° and tan 110°. The expression you provided is:

tan 25° + tan 110° / (1 - tan 25° tan 110°)

First, we need to recognize that tan (180° - x) = -tan x. Since 110° = 180° - 70°, we have:

tan 110° = -tan 70°

Now, we can rewrite the expression as:

tan 25° - tan 70° / (1 + tan 25° tan 70°)

Next, we can apply the tangent addition formula, which is:

tan (a - b) = (tan a - tan b) / (1 + tan a tan b)

Comparing this formula with our expression, we see that a = 25° and b = 70°. So, the expression simplifies to:

tan (25° - 70°) = tan (-45°)

Since tan (-x) = -tan x, we have:

tan (-45°) = -tan 45°

Lastly, we know that tan 45° = 1, so:

-tan 45° = -1

Therefore, the exact value of the expression is -1.

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Answer:

-0.099

Step-by-step explanation:

0.9 × -0.11 = -0.099

Your pfp is giving me a seizure

You're like 12

And your cringy

""Sorry to be mean XD""

Answer:A) -16

Step-by-step explanation:

Answer:

36/5 as a decimal is 7.2

Step-by-step explanation:

In the fraction 36/5, 36 is the numerator and 5 is the denominator, the fraction bar means "divided by". Therefore, the fraction 36/5 is same as "36 divided by 5" or "36 ÷ 5".

When we calculated 36 divided by 5, we found that 36/5 in decimal form is:

36 ÷ 5 = 7.2

Therefore, the decimal form of 36/5 is 7.2

Answer:

Step-by-step explanation:

If there were 8 glasses of juice, and 350 ml was poured into each glass, then the total amount of juice poured into the glasses would be 8 x 350 = 2800 ml.

After pouring this much juice, John was still left with 200 ml juice in the jar.

Therefore, the capacity of the jar would be the total amount of juice poured into the glasses plus the amount remaining in the jar, which is 2800 ml + 200 ml = 3000 ml.

To convert this volume to liters, we can divide by 1000. Therefore, the capacity of the jar in liters would be 3000 ml / 1000 = 3 liters.

So, the capacity of the jar is 3 liters.

There are 2 common factors of 9 and 24, that are 1 and 3. Therefore, the greatest common factor of 9 and 24 is 3.

In mathematics, the greatest common divisor of two or more nonzero integers is the largest positive integer that divides each integer

. The greatest common divisor (GCF) of a set of numbers is the greatest factor of division of all numbers.

GCF by listing factor method :-

Factors of 9: 1, 3, 9

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

There are 2 common factors of 9 and 24, that are 1 and 3. Therefore, the greatest common factor of 9 and 24 is 3.

other two methods are attached below .

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The total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

In the given power system depicted in Figure 1, there are three units that are always running. Each unit has specific characteristics regarding their minimum power output (Pmin), maximum power output (Pmax), and incremental cost (Ci). Let's discuss the characteristics of each unit and calculate the total cost of power generation for a given load demand.

Unit 1:

Pmin = 200 MW

Pmax = 500 MW

Ci = $50/MWh

Unit 2:

Pmin = 150 MW

Pmax = 400 MW

Ci = $40/MWh

Unit 3:

Pmin = 100 MW

Pmax = 300 MW

Ci = $30/MWh

To calculate the total cost of power generation for a given load demand, we need to determine the optimal power output for each unit. We start by considering the units with the lowest incremental cost first.

Suppose the load demand is D MW. We allocate the load demand to the units as follows:

Step 1: Check if Unit 1 can meet the load demand within its power range. If yes, allocate the load demand to Unit 1 and calculate the cost:

Cost1 = Ci * P1, where P1 is the power output of Unit 1.

Step 2: If there is still remaining load demand, allocate it to Unit 2:

Cost2 = Ci * P2, where P2 is the power output of Unit 2.

Step 3: If there is still remaining load demand, allocate it to Unit 3:

Cost3 = Ci * P3, where P3 is the power output of Unit 3.

Finally, the total cost of power generation, Cost_total, is the sum of Cost1, Cost2, and Cost3:

Cost_total = Cost1 + Cost2 + Cost3

To find the optimal power output for each unit, we consider the load demand and compare it to the minimum and maximum power output limits for each unit. The power allocation is based on meeting the load demand while minimizing the overall cost of power generation.

In summary, given the characteristics of the three units in the power system (Pmin, Pmax, and Ci), the total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

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Answer:

y = 3x + 2 because there are no value for x.

Step-by-step explanation:

The crucial value (z) relies on the desired level of confidence and is predicated on a normal distribution when creating a confidence interval for a proportion (p) with a confidence level of 93%.

A 93% confidence level in this instance translates to an alpha level of 0.07 (1 - 0.93 = 0.07) that is split evenly between the two tails. In the usual normal distribution table, we search for the value that falls within the range of 0.07 to find the proper z-value. A 93% confidence level corresponds to a z-value of roughly 1.81. The confidence interval for the proportion p may be calculated using this number and provides a range where the genuine proportion is like to fall.

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The required value is $1\frac{1}{3}$ or $\frac{4}{3}$.

The given function is $f(x)=\frac{(x-5)}{3}$ and it is stated that lim x-->6 f(x) = 3. Find lim x-->6 (2f(x) - 1).We know that if lim x-->a f(x) = L, then lim x-->a cf(x) = cL, where c is a constant .So, lim x-->6 f(x) = lim x-->6 [2 * (x-5)/3 - 1] = lim x-->6 [(2x - 16)/3] = 2 * lim x-->6 (x/3) - 16/3Now, lim x-->6 f(x) = 2 * lim x-->6 (x/3) - 16/3 = 2(6/3) - 16/3 = 4/3 = 1.33 (approx)Thus, the value of lim x-->6 (2f(x) - 1) is 1.33 (approx).  We can thus conclude that the limit of $(2f(x)-1)$ at $x=6$ is $\frac{4}{3}$ or $1.33$. Hence, the required value is $1\frac{1}{3}$ or $\frac{4}{3}$.

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Answer:

$51.06 and $976.06

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2.3%/100 = 0.023 per year.

Solving our equation:

A = 925(1 + (0.023 × 2.4)) = 976.06

A = $976.06

The total amount accrued, principal plus interest, from simple interest on a principal of $925.00 at a rate of 2.3% per year for 2.4 years is $976.06.

Answer:

17.) A   18.)   4

Step-by-step explanation:

A Venn Diagram is a diagram of 2 circles overlapping.  It is used for comparing and contrasting.  Each section is labled and there is a number in each section.  

The number in the section of circle is the number that indicates how much of something there is.

The middle section in the Venn Diagram is for if the 2 things you are comparing include both sides.  

Question 17:

The secions in the diagram is having a brother, sister, or both

Josh only has a brother, so he would put his name in section A

Question 18:

This is looking for the amount of kids that has had both type of phone, so you would look in the middle section.  There are 4 kids who have had an iphone or android.  

Hope this helps!  : )

The relative minimum point occurs at x = -5 since F''(-5) > 0, indicating concavity upwards. The relative minimum point is (-5, F(-5)). The relative maximum point occurs at x = -3 since F''(-3) < 0, indicating concavity downwards. The relative maximum point is (-3, F(-3)).

To find the relative maximum and relative minimum points of the function \(F(x) = -1/3x^3 - 4x^2 - 15x - 12\), we need to find the critical points.

First, let's find the derivative of F(x):

\(F'(x) = -x^2 - 8x - 15\)

Setting F'(x) = 0 to find potential critical points:

\(-x^2 - 8x - 15 = 0\)

We can solve this quadratic equation by factoring:

(x + 3)(x + 5) = 0

From this, we get two critical points: x = -3 and x = -5.

To determine whether these critical points are relative maximum or relative minimum points, we need to check the concavity using the second derivative.

Let's find the second derivative of F(x):

F''(x) = -2x - 8

Now, let's evaluate F''(-3) and F''(-5):

F''(-3) = -2(-3) - 8

= 6 - 8

= -2

F''(-5) = -2(-5) - 8

= 10 - 8

= 2

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Answer:

5kg

Step-by-step explanation:

Here the given force is 2500N and

acceleration is 500m/s²

Now,

F = ma

m = F/a = 2500/500 = 5kg

Thus, The mass is 5kg

-TheUnknownScientist

Answer: 140%

Step-by-step explanation:

1 can be written as 100%

2/5 can be written as 40/100 which can be written as 40%

100%+40%=140%

The statement "Conductors of opposite polarities which are run in close proximity to one another produce a heating effect on ferrous metal" is true.

Ferrous metals are metal alloys based on iron. They include a broad range of iron-based alloys, which are commonly used in construction and manufacturing. Some common ferrous metals include cast iron, carbon steel, wrought iron, and alloy steel.

The heating effect of current is the generation of heat due to the flow of electric current in a conductor. It is proportional to the square of the current and the resistance of the conductor, as well as the time the current flows through it.

The Joule's law of heating states that the heat produced in a conductor is proportional to the square of the current passing through it multiplied by the resistance of the conductor. Therefore, the given statement is true.

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