PLZ HELP! Oliver is 8 feet above the surface of the water. There is a school of fish 10 feet below the surface. A ledge with some seashells is 18 feet below the​ surface, and even​ deeper, there is a shipwreck 32 feet below the surface. Answer parts a and b.
a. How many feet will Oliver have to travel to get to the​ seashells?
Oliver will have to travel ? feet down

Given the joint probability density function (PDF) of two continuous random variables X and Y, we need to find their marginal PDFs, determine if X and Y are independent, find the conditional PDF of X given Y = y, and calculate the conditional expectation E(X|Y = y) for a specific range of y.

a) To find the marginal PDF of X, integrate the joint PDF with respect to Y over the entire range of Y: fx(x) = ∫(0 to 1) 6xy dy. Evaluate the integral and simplify to obtain the marginal PDF of X.

b) To find the marginal PDF of Y, integrate the joint PDF with respect to X over the entire range of X: fy(y) = ∫(0 to ∞) 6xy dx. Evaluate the integral and simplify to obtain the marginal PDF of Y.

c) To determine if X and Y are independent, check if the joint PDF can be factored into the product of the marginal PDFs: fx.y(x, y) = fx(x) * fy(y). If they can be factored, X and Y are independent; otherwise, they are dependent.

d) To find the conditional PDF of X given Y = y, use the conditional probability formula: fxy(x|y) = fx.y(x, y) / fy(y). Substitute the joint PDF and the marginal PDF of Y into the formula to obtain the conditional PDF.

e) To calculate the conditional expectation E(X|Y = y), integrate the product of X and the conditional PDF of X given Y = y over the range of X: E(X|Y = y) = ∫(0 to ∞) x * fxy(x|y) dx. Evaluate the integral to find the conditional expectation.

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The statement is True. According to the Central Limit Theorem, in a sufficiently large random sample, the distribution of a random variable X, with mean μ and standard deviation σ, is a normal distribution with mean μ and standard deviation σ/sqrt(n).

1. The Central Limit Theorem states that the distribution of the sample means of a large sample size will approach a normal distribution, regardless of the original distribution of the population from which the sample is drawn.
2. For a sufficiently large sample size, the mean of the sample means will approach the population mean (μ) and the standard deviation of the sample means will approach the population standard deviation divided by the square root of the sample size (σ/sqrt(n)).
3. Therefore, in a sufficiently large random sample, the distribution of a random variable X, with mean μ and standard deviation σ, is a normal distribution with mean μ and standard deviation σ/sqrt(n).

This is the case because the Central Limit Theorem states that the distribution of sample means is approximately normal, regardless of the original distribution of the population from which the sample is drawn.

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Answer:

I am just assuming that anything below 50% (or 5/10 or .5) is unlikely, and anything above 50% is likely. If your instructor uses a different comparison, please use his or her notes to check.

.89 is likely

17% is unlikely

8/16 is neither likely nor unlikely

.37 is unlikely

An expression equaivalent to -3(x + 4) - 2x + 8 is -5x - 4.

There are three types of basic arithmetic laws of operation.

Commutative law for addition and multiplication states,

a + b = b + a.

a×b = b×a.

Distributive law states,

a(b ± c) = ab ± ac.

Associative law states,

a + (b + c) = (a + b) + c.

An expression equaivalent to -3(x + 4) - 2x + 8 is.

= - 3x - 12 - 2x + 8.

= -5x - 4.

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Answer:10.6

Step-by-step explanation:

Answer: 5.6; not 10.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the distance be d

Average speed

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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Answer:

12x+20y

Step-by-step explanation:

x=students y=adults

12(students)+20(adults)

Answer:

c

Step-by-step explanation:

:)

Answer:

66.59 is the answer

Answer:

66.95

Step-by-step explanation:

Answer is 66.95

To determine which group will listen to classical music, Pam will use random sampling so that anyone can participate. This ensures an unbiased selection process and allows for a diverse range of individuals to be included in the study.

To investigate whether listening to classical music makes people relax, it is important to eliminate any potential bias in the selection process. By using random sampling, Pam ensures that participants from various backgrounds and demographics are included, allowing for a more representative sample.

Random sampling involves selecting participants in a way that each individual in the target population has an equal chance of being included. This helps minimize selection bias and increases the generalizability of the findings.

Since Pam's research assistant knows nothing about her hypothesis, they can carry out the random sampling process without any preconceived notions or bias. This ensures that the group listening to classical music will be selected randomly from the pool of potential participants, allowing for an unbiased evaluation of the impact of classical music on relaxation.

By employing random sampling, Pam can obtain a diverse group of participants, which strengthens the validity and generalizability of her study. It allows for a more comprehensive understanding of the relationship between classical music and relaxation, as the results can be applied to a broader population.

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The station of Point of Curvature (PC) is 319+50.

A horizontal curve on a 4-lane highway (i.e., 2-lanes in each direction) has a superelevation of 6% and central angle of 40 degrees. The pt and pi are located at stations 322 50 and 320 08, respectively. The roadway has 10 feet lanes and 8 feet shoulders on both sides with high retaining walls going up immediately next to shoulders.

What is the highest safe speed of this curve and at what station is the PC located? Solution:The following is a solution to the problem discussed above.

We know that, Maximum Safe Speed = Vmax = √Rf Where,Rf = G x f (Radius of Flair)G = 32.2 ft/s2 (Acceleration due to Gravity)

f = Superelevation of the RoadwayVmax = √RfG= √(160f) ft/s

Equation 1 Where

Now, Maximum Safe Speed = Vmax = 3.10 ft/s The Central Angle is given to be 40 degrees.

The Station of the PT and PI is given to be 322+50 and 320+08 respectively. Also, the roadway has 10 feet lanes and 8 feet shoulders on both sides with high retaining walls going up immediately next to shoulders.

To calculate the station of the Point of Curvature (PC), let's use the following formula:

PC = PI - (LC x sin ∆)

Where,

PC = 320+08 - (LC x sin 0.698)

Equation 2Let's calculate the Length of Curve (LC) for the curve.

LC = (Deg. of Curvature/ 360°) x 2πRWhere, 2L = Width of Pavement= 10 x 2 + 8 x 2= 36 feet

R = (2L/ sin ∆) + (2L/ tan 2∆)R = (18/ sin 0.698) + (18/ tan 1.397)R = 362.61 feet

LC = (40/ 360) x 2π x 362.61 feet= 80.14 feet

Now, substitute the value of LC and ∆ in Equation 2 and calculate the value of PC.

PC = 320+08 - (80.14 x sin 0.698)= 320+08 - 58.12= 319+50Hence, the station of Point of Curvature (PC) is 319+50.

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Answer:

Step-by-step explanation:

To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.

So,

3.9 m² = 3.9 × (100 cm / 1 m)²

3.9 m² = 3.9 × 10,000 cm²

3.9 m² = 39,000 cm²

Therefore, 3.9 square meters is equal to 39,000 square centimeters.

The largest possible value of n can be calculated using factorials and the largest value would be 3628800

The concept of factorials is used to calculate the value of n.

Factorials are defined as mathematical expression that is the product of the given number down to 1. It is denoted with the symbol n! which means that if n is given as 5, then its factorial would be =5×4×3×2×1 = 120.

Factorial of n!= nx(n-1)(n-2)........x2x1

Factorials are used in mathematics or statistics to denote the possibilities of an event in an outcome.

The total numbers of the two groups = 10

The factorials of 10! = 10×9×8×7×6×5×4×3×2×1

= 3,628,800.

Therefore, The largest possible value of n can be calculated using factorials and the largest value would be 3628800

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The saying "government who governs less governs best" is accurate, therefore yes.

Given that,

What does the statement from paragraph 12 that "the government that rules the least, governs the best" mean, in your opinion? Which of the following statements, based on your knowledge of history, is true.

According to the aforementioned claim, governments that strive to have less bureaucratic and autocratic control over the country prefer to give their inhabitants more freedom and civil rights.

Therefore, in order to keep peace, the government should not interfere too much in social and economic affairs through restrictive laws and regulations unless it is absolutely required for the good of the country.

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The graph showing the plotted points are attached accordingly.

In discrete mathematics, and more   particularly in graph theory, a graph is a structure consisting of a set of objects, some of which are "related" in some way.

The items  correspond to mathematical  abstractions known as vertices, and each pair of connected vertices  is known as an edge  

To plot and label the lines y = 1,   y = - 3, x = 2, and x = -4, we can create a simple coordinate system and mark the corresponding points.

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Answer:

The expression (8-i)/(2+i) in standard form is, 3 - 2i

Step-by-step explanation:

The expression is,

(8-i)/(2+i)

writing in standard form,

\((8-i)/(2+i)\\\)

Multiplying and dividing by 2+i,

\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)

Hence we get, in standard form, 3 - 2i

The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.

The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:

(8-i)/(2+i) * (2-i)/(2-i)

Using the distributive property, we can expand the numerator and denominator:

(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))

Simplifying further:

(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)

Since i^2 is equal to -1, we can substitute -1 for i^2:

(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))

Combining like terms:

(15 - 10i) / (3 + 4i)

Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

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Answer:

the money should be split as per each girl sold. total boxes sold is 100.

Step-by-step explanation:

total boxes sold is 100. Mia sold 57/100 keela 28/100 and Michelle 15/100.

mia=456$

keela=224$

michelle=120$

calculated as boxes sold/100 x 800$

Answer:

the third one 5(4-x)<3x+1

Answer:

number 3 hope this helps one year later

Step-by-step explanation:

By using the substitution property, the value of f(-2) is -4.

What is the substitution property of equality?

In an expression or equation, one value can be substituted for another and the result will still be the same. This is known as the substitution property of equality. If the values of x and y are the same, then x and y can be substituted for one another.

Given, f(x) = x² + 3x - 2

To find the value of f(-2), apply substitution property

f(-2) = (-2)² + 3(-2) - 2 = 4 - 6 - 2 = -2-2 = -4

Hence, the value of f(-2) is -4.

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Answer:

For question 2, Ethan needs 3 cups of milk to make the batter for 3 times as many cakes.

For question 3, Isabella needs 5/4 of a gallon of the food to make 5 gallons of the mixture.

The main answer is that the infinite number of types of matter arises from the unique combinations of elements and their arrangements in terms of composition and geometry.

While the number of elements is limited, their combinations and arrangements allow for an infinite number of types of matter. Elements can combine in different ratios and configurations, forming various compounds and structures with distinct properties.

Additionally, the arrangement of atoms within a molecule or the spatial arrangement of molecules within a material can create different types of matter. These factors, along with the possibility of isotopes and different states of matter, contribute to the vast diversity and infinite types of matter despite the limited number of elements.

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Step-by-step explanation:

I think is 4.5 because when nine is being divided it's result is 4 remender 1,so maybe the answer options are incorrect

The car will travel a distance of 33.34 meter in 2 sec.

The definition of velocity is a vector estimate of the rate & direction of motion.

Some features abut the velocity are-

Now according to the question-

A car is driving at 60 kilometers per hour.

That means car is travelling 60 km in 1 hour.

Velocity of the car = 60km/hr

convert the velocity in m/s

1 km = 1000 m

1 hour = 3600 second.

velocity = (60×1000m)/3600s

velocity = 100/6  m/s

Now, the distance covered by the car in 2 seconds

Distance = velocity×time

Distance = (100/6)×2

Distance = 100/3

Distance = 33.24 (approx)

Therefore, distance covered by the car in 2 second is 33.34 meters.

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Answer:

f(x) = ¼ x² + ⁵/₂ x + ²⁵/₄

Step-by-step explanation:

b² = 4ac, so the discriminant is 0.  That means the quadratic has a repeated root, which is the vertex.

f(x) has an axis of symmetry of x = -5.  That means the x-coordinate of the vertex is -5.

So f(x) = a (x + 5)².

f(-1) = 4, so the value of a is:

4 = a (-1 + 5)²

4 = 16a

a = ¼

The function is  f(x) = ¼ (x + 5)².  Converting to standard form:

f(x) = ¼ (x² + 10x + 25)

f(x) = ¼ x² + ⁵/₂ x + ²⁵/₄

Answer:

n = 24 m

Step-by-step explanation:

n²   +   10² = 26²

n²    + 100 = 676

n²   =  576

n = 24 m

Answer:

-15

Step-by-step explanation:

Set up the composite function and simplify

Answer:

230

Step-by-step explanation:

V = Base x hight

2070 = Base x 9

Base = 2070/9

Base = 230

Area = base

Area = 230

Replacing the values in the equation, we have:

D(t) = (200 ft/s)*t + 0.5*(100 ft/s2)*t^2

D(t) = (200 ft/s)*t + (50 ft/s2)*t^2 (Multiplying)

The answer is:

D(t) = (200)*t + (50)*t^2 (Distance in ft)