the weight of the heaviest fish was _____Ib.

The joint PDF of X and Y is fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.

The joint probability density function (PDF) of X and Y can be obtained by multiplying the individual PDFs of X and Y, as they are independent random variables.

Given:

X ~ Exponential(λ), with mean 1 (λ = 1)

Y ~ Uniform(0, X), for 0 < y < x

To find the joint PDF, we first need to express the PDFs of X and Y.

PDF of X:

fX(x) = λ * exp(-λx) for x > 0 (Exponential distribution with parameter λ)

PDF of Y:

fY(y|x) = 1 / x for 0 < y < x (Uniform distribution on interval [0, x])

Now, we can find the joint PDF by multiplying these individual PDFs:

fx.x (x, y) = fX(x) * fY(y|x)

Substituting the PDFs:

fx.x (x, y) = (λ * exp(-λx)) * (1 / x)

fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x

Therefore, the fully specified joint PDF of X and Y is:

fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.

To know more about joint PDF, refer here:

https://brainly.com/question/31064509

#SPJ4

Answer:

Step-by-step explanation:

With the markings on each triangle you are being told 2 sides are identical and that 1 angle is identical.

You would use B. SAS

Therefore, Andrea has 25 dimes in 37 coins, all nickels and dimes and the value of the 37 coins is $3.10.

Let's represent the number of nickels by "n" and the number of dimes by "d".

From the problem, we know that:

n + d = 37 (equation 1) ---(the total number of coins)

0.05n + 0.1d = 3.10 (equation 2) ---(the total value of the coins in dollars)

To solve for d, we can rearrange equation 1 to get:

n = 37 - d

Substitute this expression for n into equation 2 and simplify:

0.05(37-d) + 0.1d = 3.10

1.85 - 0.05d + 0.1d = 3.10

0.05d = 1.25

d = 25

To know more about dimes,

https://brainly.com/question/31110261

#SPJ11

Answer:

Might be D

Step-by-step explanation:

took the test and that was the other one i was thinking

Answer: D: The function is odd because it is symmetric with respect to the origin.

Step-by-step explanation:

The statement is true.

When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.

When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.

The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.

To know more about equilibrium refer here:

https://brainly.com/question/14281439?#

#SPJ11

Answer:

a line segment is an object with two endpoints , a ray is a  part of a line that has no fixed starting point

Step-by-step explanation:

The initial population at time t = 0 was 0.39 while the size of the bacteria population after 4 hours was 6553600

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the bacteria population at time t. a represent the initial population at t = 0. Since the doubling period of a bacteria population is 10 minutes, hence:

\(y=a(2)^\frac{t}{10}\)

At time t = 110 minutes, the bacterial population was 800. Hence:

\(800=a(2)^\frac{110}{10} \\\\a = 0.39\)

At 4 hours (240 minutes):

\(y=0.39(2)^\frac{240}{10} =6553600\)

The initial population at time t = 0 was 0.39 while the size of the bacteria population after 4 hours was 6553600

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Types of cardioid are Standard cardioid, Nephroid, Limacon, Deltoid, astroid, hypocycloid, and epitrochoid, each with its own unique properties and applications in mathematics and science.

A cardioid is a geometric shape that is formed by tracing a point on a circle as it rotates around another circle of the same size. There are several types of cardioids, each with its own unique properties and characteristics.

Standard cardioid: This is the most common type of cardioid and is formed by tracing a point on a circle as it rotates around another circle of the same size, with the point always being twice as far from the center of the second circle as it is from the center of the first circle.

Nephroid: This is a type of cardioid that is formed by tracing a point on a circle as it rotates around another circle that is twice its size. The name "nephroid" comes from the Greek word "nephros," which means kidney, as the shape of the curve resembles a kidney.

Limacon: This is a type of cardioid that is formed by tracing a point on a circle as it rotates around another circle that is slightly larger than itself. The shape of the curve resembles a figure eight.

Deltoid: This is a type of cardioid that is formed by tracing a point on a circle as it rotates around another circle that is three times its size. The shape of the curve resembles a triangle.

To learn more about cardioid click on,

https://brainly.com/question/29556891

#SPJ4

The rate of change of the cube's surface area when its edges are 20mm long is 120 mm²/s.

Rate of change of volume = -60 mm³/s (negative sign indicates decreasing volume)

Edge length of the cube (a) = 20 mm

To find the rate of change of the cube's surface area, we can use the formulas for volume and surface area of a cube.

The volume of a cube is given by V = a³, where a is the edge length.

Differentiating both sides with respect to time (t), we get dV/dt = 3a²(da/dt).

Given that dV/dt = -60 mm³/s and a = 20 mm, we can solve for da/dt:

-60 = 3(20²)(da/dt)

-60 = 3(400)(da/dt)

da/dt = -60 / (3*400)

da/dt = -1/20 mm/s

Now, let's find the formula for the surface area of a cube:

Surface area (A) = 6a²

Differentiating both sides with respect to time, we get dA/dt = 12a(da/dt).

Substituting the given values of a and da/dt, we have:

dA/dt = 12(20)(-1/20)

dA/dt = -12 mm²/s

However, since we are interested in the rate of change with respect to time, and the surface area is always positive, we take the absolute value:

|dA/dt| = |-12|

|dA/dt| = 12 mm²/s

Therefore, the rate of change of the cube's surface area when its edges are 20mm long is 12 mm²/s.

For more questions like Area click the link below:

https://brainly.com/question/27683633

#SPJ11

Answer:

B.) 600

Step-by-step explanation:

if you are rounding to the nearest hundred value you would get 600 because the 3 in 638 will round down to 600

it can not be A because it is to far down from the number line

it can not be C or D because they are to far up on the number line

So the correct answer has to be B-600

if the 2nd number is 5 or more you will always round up.

if the 2nd number is 4 or less you will have to round down.

After rounding off Jaime has (B) 600 blocks with him.

So, rounding off 636:

We can easily tell that after rounding off, the number of blocks will be:

Therefore, after rounding off Jaime has (B) 600 blocks with him.

Know more about rounding off here:

https://brainly.com/question/28128444

#SPJ2

The correct question is given below:

Jaime has 636 blocks. after rounding off how many blocks does he have?

A. 500

B.600

C.700

D.800

Answer:

where is the questionss

By solving the given equation we know that $32.7 credit is left on the phone.

The definition of an equation in algebra is a logical statement that proves two formulas are equal.

Take the equation 3x + 5 = 14, wherein 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

So, we have the equation:

C(x)-35.50-0.07x

As Henry use it for 40 minutes:

Now, calculate the amount left as follows:

C(x) = 35.50 - (0.07 x 40)

C(x) = 35.50 - 2.8

C(x) = $32.7 left

Therefore, by solving the given equation we know that $32.7 credit is left on the phone.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ1

Complete question:

Henry purchased a prepaid phone card for $35.50. Calls cost 7 cents a minute using this card. The credit, C(in dollars), left on the card after it is used for x minutes of calls is given by the following function. C(x)-35.50-0.07x . How much credit is left on the card after Felipe uses it for 40 minutes of calls?

Answer:

1/6

Step-by-step explanation:

1/2 ÷ 3 = 1/2 × 1/3 = 1/6

Answer:

m=3

Step-by-step explanation:

subtract the e from both sides so you now have 15=5m divide each by 5 and you get 3=m

Answer:

m = 3

Step-by-step explanation:

-5m + 18 = 3

-5m = 3 - 18

-5m / -15 = 3

Answer: m = 3

Hope this helped

Brainliest is aprreciated.

Answer:

0

5

3

becos i know UwU

To find the height of the regular hexagonal prism, we need to use the formula for its surface area. The surface area of a regular hexagonal prism is given by:

Surface Area = 6 × Area of Base + Lateral Area

Since the base of the prism is a regular hexagon, we can find its area using the formula:

Area of Base = (3√3/2) × s^2

where s is the length of one side of the hexagon.

Let's assume that the side length of the hexagon is x, then we can write:

Area of Base = (3√3/2) × x^2

And since the prism has a surface area of approximately 244.8 square inches, we can write:

244.8 = 6 × (3√3/2) × x^2 + Lateral Area

We know that the lateral area of the prism is just the area of the six rectangles that make up the sides of the prism. Each of these rectangles has a height equal to the height of the prism, and a base equal to the perimeter of the regular hexagon.

The perimeter of a regular hexagon with side length x is given by:

Perimeter = 6x

So, the base of each rectangle is 6x, and the lateral area of the prism is:

Lateral Area = 6x × h

where h is the height of the prism.

Now we can substitute these values into the formula for the surface area:

244.8 = 6 × (3√3/2) × x^2 + 6x × h

Simplifying this equation, we get:

244.8 = 27√3 × x^2 + 6x × h

Solving for h, we get:

h = (244.8 - 27√3 × x^2) / (6x)

We don't know the value of x, but we do know that the prism is regular, which means all of its sides are equal. Therefore, we can use the formula for the area of a regular hexagon to find x:

Area of Base = (3√3/2) × x^2 = 244.8 / 6

Simplifying this equation, we get:

x^2 = 244.8 / (6 × 3√3/2)

x^2 = 244.8 / (9√3)

x^2 = 9.728

x ≈ 3.12

Now we can substitute this value of x into the equation we found for h:

h = (244.8 - 27√3 × 3.12^2) / (6 × 3.12)

h ≈ 7.2 inches

Therefore, the approximate height of the regular hexagonal prism is 7.2 inches.

know more about regular hexagonal prism here

https://brainly.com/question/23646357

#SPJ11

The recursive formula that represents the same sequence of numbers as the explicit formula an = 3n + 4 is an = an-1 + 3, with the initial term a1 = 7.

A recursive formula defines a sequence by expressing each term in terms of previous terms. In this case, the explicit formula an = 3n + 4 gives us a direct expression for each term in the sequence.

To find the corresponding recursive formula, we need to express each term in terms of the previous term(s). In this sequence, each term is obtained by adding 3 to the previous term. Therefore, the recursive formula is an = an-1 + 3.

To complete the recursive formula, we also need to specify the initial term, a1. We can find the value of a1 by substituting n = 1 into the explicit formula:

a1 = 3(1) + 4 = 7

Hence, the complete recursive formula for the sequence is an = an-1 + 3, with the initial term a1 = 7. This recursive formula will generate the same sequence of numbers as the given explicit formula.

Learn more about recursive formula here:

https://brainly.com/question/1470853

#SPJ11

Two swimmers start swimming the length of a ninety-foot pool, one at a speed of 3 feet per second and the other at a speed of 2 feet per second. They swim back and forth for twelve minutes, the two swimmers pass each other 8 times during the twelve minutes they swim back and forth.

To solve this problem, we can break it down into smaller steps:

Step 1: Find the total distance each swimmer covers in twelve minutes.
- The first swimmer is swimming at a speed of 3 feet per second, so in twelve minutes, they cover a distance of 3 * 12 * 60 = 2160 feet.
- The second swimmer is swimming at a speed of 2 feet per second, so in twelve minutes, they cover a distance of 2 * 12 * 60 = 1440 feet.

Step 2: Determine how many times they cross each other.
- When the swimmers are swimming in the same direction, the faster swimmer (the first swimmer) will eventually catch up to the slower swimmer (the second swimmer). They will pass each other once during this process.
- The time it takes for the first swimmer to catch up to the second swimmer is given by the equation: (Distance between the swimmers) / (Difference in their speeds).
- In this case, the distance between the swimmers is the length of the pool, which is 90 feet. The difference in their speeds is 3 - 2 = 1 foot per second.
- Therefore, the time it takes for the first swimmer to catch up to the second swimmer is 90 / 1 = 90 seconds.
- Since there are 60 seconds in a minute, the swimmers pass each other once every 90 / 60 = 1.5 minutes.

Step 3: Calculate how many times they cross each other in twelve minutes.
- In twelve minutes, there are 12 / 1.5 = 8 intervals of 1.5 minutes each.
- So, the swimmers cross each other 8 times during the twelve-minute period.

Therefore, the two swimmers pass each other 8 times during the twelve minutes they swim back and forth.

To know more about swimmers refer here:
https://brainly.com/question/29012493#

#SPJ11

Answer:

203,549 !!!

Step-by-step explanation:

The two equations to set up to solve the equation are 3x - 2 = 19 and 3x - 2 = -19

The equation is given as

|3x - 2| = 19

The above equation is an absolute value equation.

When it is split, the constant would be represented as positive and negative

So, the equivalent equations are

3x - 2 = 19 and 3x - 2 = -19

Hence, the two equations to set up to solve the equation are 3x - 2 = 19 and 3x - 2 = -19

Read more about equations at

https://brainly.com/question/1429964

#SPJ1

If the surface area of the original pyramid is 6400 square yards and the new dimensions are 1/8 of the original size, the surface area of the new pyramid will be 100 square yards.

Let's denote the original surface area of the pyramid as S1 and the new surface area as S2. We know that the new dimensions are 1/8 of the original size, which means the linear dimensions (height, base length, and base width) are also 1/8 of the original dimensions.

The surface area of a pyramid is given by the formula S = 2lw + lh + wh, where l, w, and h represent the base length, base width, and height, respectively.

Since the new dimensions are 1/8 of the original size, we can say that the new base length (l2), base width (w2), and height (h2) are equal to (1/8) * original base length (l1), (1/8) * original base width (w1), and (1/8) * original height (h1), respectively.

Therefore, the new surface area (S2) can be calculated as:

S2 = 2 * (1/8 * l1) * (1/8 * w1) + (1/8 * l1) * (1/8 * h1) + (1/8 * w1) * (1/8 * h1)

= 1/64 * (2l1w1 + l1h1 + w1h1)

Since we are given that S1 (the original surface area) is 6400 square yards, we can equate it to S2:

6400 = 1/64 * (2l1w1 + l1h1 + w1h1)

Simplifying the equation, we get:

2l1w1 + l1h1 + w1h1 = 6400 * 64

2l1w1 + l1h1 + w1h1 = 409600

Therefore, we can conclude that the surface area of the new pyramid (S2) is 100 square yards.

Learn more about surface area here:

https://brainly.com/question/29298005

#SPJ11

The missing side length of the triangle is:

UT = 54

Here we can assume that the two triangles are similar triangles, that means that the quotient between the correspondent sides must be equal.

That means that:

KL/UV = ML/UT

And we know that:

KL = 130

ML = 117

UV = 60

UT = ?

Replacing that we can write:

130/60 = 117/?

Solving for the missing value we will get:

? = 117*(60/130) = 54

That is the missing side length.

Learn more about similar triangles at:

https://brainly.com/question/14285697

#SPJ1

Answerapples

Step-by-step explanation:

Answer:

400 meters

Step-by-step explanation:

Answer:

x=24

Step-by-step explanation:

Step 1: Add 3 to both sides: 1/2x-3+3=9+3

Simplify that: 1/2x=12

Step 2: Multiply both sides by 2: 1/2x*2=2*12

Simplify: x=24

Hope this helped! :)

The function f(x) = x^4 + bx^2 + 1 has an inflection point at x = 0,

What is the inflection point?

An inflection point of a function is a point on the graph of the function where the concavity (curvature) of the graph changes. In other words, an inflection point is a point where the curve switches from being concave up to concave down, or vice versa.

The function f(x) = x^4 + bx^2 + 1 has an inflection point at x = 0, because the concavity of the graph changes at that point. To find the value of b such that the function has at least one inflection point over the interval (1,2), we can set x = 1 and x = 2 in the function and solve for b.

If we set x = 1, we get the equation f(1) = 1 + b + 1 = 0. Solving for b, we find that b = -2.

If we set x = 2, we get the equation f(2) = 16 + 2b + 1 = 0. Solving for b, we find that b = -9.

Since the function has an inflection point at x = 0 for any value of b, it will have at least one inflection point over the interval (1,2) for any value of b.

Therefore, the value of b can be any real number.

To learn more about Inflection point, Visit

brainly.com/question/10352137

#SPJ4

Answer

100 times 3.14=314 times 360=113,040

Step-by-step explanation:

Answer:

When  x =  -16, y = -1.

Step-by-step explanation:

Let's plug in y = -1 into this equation

-1 = 1/4x + 3

Now, we need to solve the equation for x. To do so, we want x to be by itself on one side of the equation. We will use inverse operations to get the x by itself. First, subtract 3 from either side to under the +3 on the right side of the equation.

-1 - 3 = 1/4x + 3 - 3

-4 = 1/4x

Next, we will divide by 1/4 to undo the *1/4. Dividing by 1/4 is the same as multiplying by 4, so we will multiply each side by 4.

-4 * 4 = 1/4x * 4

-16 = x

bye now

im tyler

The work done by the force vector field is 8π.

To find the work done by the force vector field F in moving a particle counterclockwise around the given curve, we can use the line integral formula:

W = ∮ F · dr

where F = (4x - 5y)i + (5x - 4y)j represents the force vector field and dr is the differential displacement vector along the curve.

The curve C is described as the circle \((x - 1)^2 + (y - 1)^2 = 4.\)

To compute the line integral, we need to parameterize the curve C. We can use the parameterization:

x = 1 + 2cos(t)

y = 1 + 2sin(t)

where t is the parameter that varies from 0 to 2π to traverse the circle counterclockwise.

Now, we can compute the differential displacement vector dr:

dr = dx i + dy j

  = (-2sin(t)) i + (2cos(t)) j

Substitute the parameterized values into the force vector field F:

F = (4(1 + 2cos(t)) - 5(1 + 2sin(t)))i + (5(1 + 2cos(t)) - 4(1 + 2sin(t)))j

Simplify:

F = (4 + 8cos(t) - 5 - 10sin(t))i + (5 + 10cos(t) - 4 - 8sin(t))j

 = (8cos(t) - 10sin(t))i + (10cos(t) - 8sin(t))j

Now, we can compute the line integral:

W = ∮ F · dr

 = ∫[0, 2π] (8cos(t) - 10sin(t))(-2sin(t)) + (10cos(t) - 8sin(t))(2cos(t)) dt

Simplifying and evaluating the integral:

W = ∫[0, 2π] (-16cos(t)sin(t) + 20\(sin^2\)(t) + 20\(cos^2\)(t) - 16sin(t)cos(t)) dt

 = ∫[0, 2π] 4\(sin^2\)(t) + 4\(cos^2\)(t) dt

 = ∫[0, 2π] 4 dt

 = 4t |[0, 2π]

 = 4(2π) - 4(0)

 = 8π

Therefore, the work done by the force vector field F in moving the particle counterclockwise around the given curve is 8π.

Learn more about work done by force vector field

brainly.com/question/31964623

#SPJ11

\(\cfrac{89.40~~ - ~~\stackrel{ \textit{minus the tax of each} }{0.50-0.50-0.50-0.50-0.50-0.50}}{6}\implies \cfrac{86.40}{6}\implies \stackrel{ each }{14.40}\)