Let X is uniformly distributed over (0,1) and Y is exponentially distributed with parameter λ=1. Furthermore assume X and Y are independent.The cumulative distribution of Z=X+YisP{Z≤a}=P{X+Y≤a}= for 0

Okay, here we have this:

Considering the provided triangle which is a right triangle, we are going to use the pythagorean theorem to find the measure of the missing side, so we obtain the following:

Finally we obtain that the correct answer is the first option.

Answer:

\( \purple {\bold {m\angle PTR=136\degree}} \)

\( \orange {\bold {m\angle PQR=68\degree}}\)

Step-by-step explanation:

PS and RS are tangents to the circle with center T at points P and R. (given)

TP and TR are radii of the given circle.

\( \therefore PS\perp TP\: \&\: RS\perp TR\)

(radius is perpendicular to the tangent)

\( \therefore m\angle TPQ= m\angle TRS =90\degree \)

In quadrilateral SPTR

\( m\angle TPQ+ m\angle TRS+m\angle PSR +m\angle PTR=360\degree \)

\( 90\degree+ 90\degree+44\degree +m\angle PTR=360\degree \)

\( 224\degree +m\angle PTR=360\degree \)

\( m\angle PTR=360\degree - 224\degree\)

\( \purple {\bold {m\angle PTR=136\degree}} \)

By inscribed angle theorem:

\( m\angle PQR=\frac{1}{2} \times m\angle PTR\)

\( m\angle PQR=\frac{1}{2} \times 136\degree\)

\( \orange {\bold {m\angle PQR=68\degree}}\)

Answer:

18.75

Step-by-step explanation:

You add all the numbers together, then divide that total by the amount of numbers you added together.

The distance it would take to travel across the river on the bridge than to take the ferry is 4√6 units.

In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given end points into the distance formula, we have the following;

Distance AC = √[(-4 - 0)² + (2 - 2)²]

Distance AC = √[(-4)² + (0)²]

Distance AC = √[16 + 0]

Distance AC = √16

Distance AC = 4 units.

Distance AB = √[(2 - 0)² + (0 + 2)²]

Distance AB = √[(2)² + (2)²]

Distance AB = √[4 + 4]

Distance AB = √8

Distance AC = 2√2 units.

From Pythagorean Theorem, the length of BC is given by;

BC² = (2√2)² + 4²

c² = 8 + 16

c = √24

c = 4√6 units.

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f'(0) is the derivative of the function f(x) evaluated at x = 0, and it provides information about the instantaneous rate of change of the function at that specific point.

In the context of calculus, the derivative measures the rate of change of a function at a specific point. By taking the limit as h approaches 0, we are considering the instantaneous rate of change or the slope of the tangent line at x = 0.

The expression f'(0) represents the value of the derivative of the function f(x) at x = 0. This value indicates how the function is changing at that particular point. The limit h→0 ensures that we are approaching the point of interest as closely as possible, allowing us to capture the exact rate of change at x = 0.

Overall, f'(0) is the derivative of the function f(x) evaluated at x = 0, and it provides information about the instantaneous rate of change of the function at that specific point.

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The CIV of each customer is:
- Amber: 20 - Ashley: 20 - Joe: 20 - Lauren: 30 - Jung: 20 - Maria: 30 - Jose: 30

To calculate the CIV (customer lifetime value) of each customer, we can use the formula provided in the hint for Ashley and then apply the same formula for the rest of the customers:

CIVAshley = [CLVMaria + 0.5CLVJose] + [CIVMaria + 0.5CIVJose]

Plugging in the values given in the table:
CIVAshley = [10 + 0.5(15)] + [10 + 0.5(10)] = 20

Therefore, the CIV of Ashley is 20.

Using the same formula for the other customers:
CIVAmber = [10 + 0.5(15)] + [10 + 0.5(10)] = 20
CIVJoe = [10 + 0.5(15)] + [10 + 0.5(10)] = 20
CIVLauren = [25 + 0.5(10)] + [10 + 0.5(15)] = 30
CIVJung = [10 + 0.5(15)] + [10 + 0.5(10)] = 20
CIVMaria = [10 + 0.5(15)] + [20 + 0.5(10)] = 30
CIVJose = [10 + 0.5(15)] + [20 + 0.5(10)] = 30

Therefore, the CIV of each customer is:
- Amber: 20
- Ashley: 20
- Joe: 20
- Lauren: 30
- Jung: 20
- Maria: 30
- Jose: 30

Note that the CIV represents the total value a customer is expected to bring to a company over the course of their relationship, taking into account the frequency and monetary value of their purchases.

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Answer:

it is linear

Step-by-step explanation:

sorry if i'm late but i did it on khan

if the area of a rectangle is 80 square units, the perimeter must be lesser than or equal to 35. 9 units.

What is a conjecture?

A conjecture is a conclusion or a proposition that is made tentatively and without supporting evidence.

The conjecture for the given question is:

if the area of a rectangle is 80 square units, the perimeter must be lesser than or equal to 35. 9 units.

Greater than → Lesser than or equal to

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Answer:

Step-by-step explanation:

8+(2+4)²=                    REMEMBER PEMDAS

8+6²=

8 + 36=

44

The 10 workers can produce 625 chairs in a day.To determine how many chairs can be produced by 10 workers in a day, we can use the concept of worker productivity.

Given that 8 workers can produce 500 chairs in a day, we can calculate the productivity of each worker per day by dividing the total number of chairs produced (500) by the number of workers (8).

This gives us the productivity per worker, which is 500 chairs / 8 workers = 62.5 chairs per worker per day.

To find the number of chairs that can be produced by 10 workers in a day, we can multiply the productivity per worker by the number of workers.

Thus, the number of chairs that can be produced by 10 workers in a day is 62.5 chairs/worker/day × 10 workers = 625 chairs.

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Answer:

Step-by-step explanation:

If Jen ran 34 miles over the last 2 weeks and only 18 miles the second week, she would've had to have run 16 miles the first week.

34= 18+x

I hope this helps!

Answer:

15

Step-by-step explanation:

2 and 1/2 divided by 1/6

To find a power series representation for the function f(x) = 4x/(x^2 + 2), we can use partial fraction decomposition.

First, we write f(x) as:

f(x) = 4x/(x^2 + 2) = A/(x + √2) + B/(x - √2),

where A and B are constants to be determined. To find A and B, we can multiply both sides of the equation by (x^2 + 2) and then equate the numerators:

4x = A(x - √2) + B(x + √2).

Expanding the right side and collecting like terms, we get:

4x = (A + B)x + (B√2 - A√2).

Comparing coefficients of like powers of x, we have:

A + B = 4, B√2 - A√2 = 0.

From the second equation, we can rearrange it as B√2 = A√2 and divide both sides by √2 to obtain B = A.

Substituting this into the first equation, we get:

A + A = 4, 2A = 4, A = 2.

Therefore, B = 2 as well.

Now we can write f(x) in the form of partial fractions:

f(x) = 2/(x + √2) + 2/(x - √2).

Using the geometric series expansion, we can express each term as a power series:

f(x) = 2(1/√2)(1/(1 + x/√2)) + 2(1/√2)(1/(1 - x/√2)).

Expanding each term using the geometric series formula, we have:

f(x) = 2(1/√2)(1 - x/√2 + (x/√2)^2 - (x/√2)^3 + ... ) + 2(1/√2)(1 + x/√2 + (x/√2)^2 + (x/√2)^3 + ... ).

Simplifying and combining like terms, we obtain the power series representation:

f(x) = ∑[n=0 to ∞] ((-1)^n + 1)x^n/2^(n+1).

To determine the interval of convergence, we can use the ratio test. Let's compute the limit:

lim[n→∞] |((-1)^(n+1) + 1)x^(n+1)/2^(n+2)| / |((-1)^n + 1)x^n/2^(n+1)|.

Simplifying the expression, we have:

lim[n→∞] |x/2| = |x|/2.

For the series to converge, we require |x|/2 < 1. This gives us the interval of convergence:

-2 < x < 2.

Therefore, the power series representation of f(x) converges for x values in the interval (-2, 2), and the radius of convergence is 2.

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Answer:

8

Step-by-step explanation:

Answer:

50 = 25% of 200

Step-by-step explanation:

I don't fully get what is being asked

40/3 days, (13.33 days)

Step-by-step explanation:

Set up the equation, 15/20 = 10/x, and then use cross mutiply to solve it.

10 * 20 = 15x, x = 200/15 = 40/3

Why?

b/c if each pig eats the same amount of food, then the ratio between the number of pigs and days should remain constant.

Answer: y = (7/4)x - 3

Step-by-step explanation:

m = (-10 - (-3))/(-4 - 0) = -7/(-4) = 7/4

y-intercept = (0, -3)

y = (7/4)x - 3

The solution to the system of equations (0.4, 1).

Given equations according to the question,

y = -5x+3

y = 1

Now we can use y = 1 and substitute the value of y in y = -5x+3

After substituting we get, the value of y we get,

= 1 = -5x+3

Now given points according to the questions are

(0.4, 1) , (0.8, 1), (1, 0.4), (1, 0.8).

We substitute these points in the equation to see which points satisfy the equation, the point satisfying the equation is our point.

First, we will use (0.4, 1)

= 1 = -5x+3

= 1 = -5×0.4 + 3

= 1 = -2+3

= 1 = 1

Hence (0.4, 1) is our first solution of the equation.

Then we will use (0.8 ,1)

= 1 = -5x+3

= 1 = -5×0.8 + 3

= 1 = -4+3

= 1 = -1

Hence (0.8, 1) is not out the solution to the equation.

Then we will use (1,0.4)

= 1 = -5x+3

= 1 = -5×1 + 3

= 1 = -5+3

= 1 = -2

Hence (1, 0.4) is not the solution to the equation.

Then we will use (1,0.8)

= 1 = -5x+3

= 1 = -5×1 + 3

= 1 = -5+3

= 1 = -2

Hence (1, 0.8) is not the solution to the equation.

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Answer:

4.35 or 87/20

Step-by-step explanation:

try desmos scientific calculator to help with other question.

Answer:

  b.  √3

Step-by-step explanation:

Given a point on the unit circle that represents the position of the terminal ray of an angle, the tangent of that angle is the ratio of the y-coordinate to the x-coordinate.

  tan(4π/3) = y/x = (-√3/2)/(-1/2) = √3/1

  tan(4π/3) = √3

_____

Additional comment

A calculator can confirm this for you.

Answer:

0 ≤ t ≤ 18

Step-by-step explanation:

The cost of renting the boat without any discount is $8 per hour. However, Leila has a discount coupon for $3 off, so the effective cost per hour would be $8 - $3 = $5.

Let's assume Leila rents the boat for t hours. The total cost of renting the boat for t hours would be $5 multiplied by t, which is 5t.

According to the problem, Leila wants to spend at most $93. Therefore, we can set up the following inequality:

5t ≤ 93

This inequality represents the condition that the total cost of renting the boat (5t) should be less than or equal to $93.

Simplifying the inequality:

5t ≤ 93

Dividing both sides by 5 (since the coefficient of t is 5):

t ≤ 93/5

t ≤ 18.6

Since we cannot rent the boat for a fraction of an hour, we can round down the decimal value to the nearest whole number:

t ≤ 18

0 ≤ t ≤ 18

Answer: 0≤t≤12

Step-by-step explanation:

(I’m not sure if it’s 5 dollars off per hour, or total, but here’s what I did!)

If Leila has a $3 coupon, than she can spend +$3 because when you get a coupon, you can spend more, so 93+3 is equal to 96, now we just divide by 8 (because a boat costs $8 per hour) and we get 96/8=12.

Then, in inequality form it’s t≤12, because she can rent the boat for at most 12 hours, you could also do 0≤t≤12, because you can’t rent it for a negative amount of time, but either works.

The capacity of fish tank in quarts is 246.

Therefore the answer is 246.

A pint is a unit of volume in the US customary system of measurement and is equal to 16 fluid ounces. A quart is also a unit of volume in the US customary system of measurement and is equal to 32 fluid ounces or 2 pints.

There are 2 pints in 1 quart, so to convert from pints to quarts, we need to divide by 2.

The capacity of the fish tank in pints is 492.

Therefore, the capacity of the fish tank in quarts is

= 492 pints / 2 pints per quart

= 246 quarts

So, the capacity of the tank in quarts is 246 quarts.

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Answer: 6000

Step-by-step explanation:

For the numbers you choose, there are 10, then 20, then 30 possible numbers to choose from.

To find the total amount of possible combinations with repetition, you just do 10x20x30 = 6000.

The equation of the function g(x) is g(x) = |x + 5|

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

The functions f(x) and g(x) on the graph

Also, we have

f(x) = |x|

The function f(x) is translated to the left by 5 units to get the function g(x)

This is represented as

g(x) = |x + 5|

Hence, the function g(x) is g(x) = |x + 5|

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Answer:

A) 60 girls B)80 boys

Step-by-step explanation:

Pretend that the ratio is a fraction. If there are 4 boys for every 4 girls, than pretend that you add the 4 and the 3 together, thus giving you 7 as your denominator. Start with the girls, giving you a fraction of 3/7, multiply by 140, you get 60 as the number of girls. 140-60=80, giving you 80 boys.

The two possible functions is F(x)= \frac{x^4}{12}+3x^2 and F(x)= \frac{x^4}{12}+3x^2+x.

The derivative of the first derivative of the given function is known as the second order derivative. We can learn about the slope of the tangent at a particular position or the instantaneous rate of change of a function at that point from the first-order derivative at that point.

F”(x)= x^2+6

F’(x)= \int f"(x) dx

       = \int( x^2+6) dx

       = \frac{x^3}{3}+6x+c_1                                  c_1 is the integral constant.

F(x)= \int f\prime(x) dx

      = \int f (\frac{x^3}{3}+6x+c_1) dx

      = \frac{x^4}{12}+3x^2+c_1x+c_2

(i) if c_1=0 , and c_2=0

   F(x)= \frac{x^4}{12}+3x^2

(ii) if c_1=1, and c_2=0

        F(x)= \frac{x^4}{12}+3x^2+x

Therefore the two possible functions is F(x)= \frac{x^4}{12}+3x^2 and F(x)= \frac{x^4}{12}+3x^2+x

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The equality given as x² = -x  is true when x = 0 and x = -1

From the question, the equation is given as

x^2=-x

Rewrite the equation properly as follows

So, we have

x² = -x

Add x to both sides of the equation

So, we have the following equation

x² + x = 0

Factor out x from the equation

This gives

x(x + 1) = 0

So, we have

x = 0 and x + 1 = 0

Solve for x

x = 0 and x = -1

Hence, the equality is true when x = 0 and x = -1

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Answer:

6:05 PM

Step-by-step explanation:

Answer:

6:05 P. M.

Step-by-step explanation:

3 hours after 2:45 pm is 5:45 pm. 20 minutes after 5:45 pm is 6:05 pm.