evaluate the triple integral where is the solid tetrahedon with vertices (0,0,0), (9,0,0), (0,8,0), (0,0,2)

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

The probability that atleast one students is taking a language class is 0.7

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Let :

Spanish = S ; French = F ; German = G

SnFnG = 3

(SnF) only = 9 - 3 = 6

(SnG) only = 5 - 3 = 2

(FnG) only = 5 - 3 = 2

S only = 28 - (6+3+2) = 17

F only = 21 - (2+3+2) = 14

G only = 12 - (6+3+2) = 1

Student not taking any of the classes are;

(100 - (17+14+1+2+2+6+3))

100 - 45 = 55

Atleast 1 is taking a language class out of 2 selected

The probability that atleast one students is taking a language class :

(45/100 * 55/99) + (55/100 * 45/99) + (45/100 * 44/99)

= 0.7

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Answer:

5(10) + 31= 81

Step-by-step explanation:

x=110 So you plug in 10 for x and multiply 5x10 and then add 31

Probability distribution after two battles: Dark 1/3, Psychic 1/3, Fighting 1/3 Steady-state probability distribution: Dark 1/3, Psychic 1/3, Fighting 1/3. Probability distribution after two battles: Dark 1/4, Psychic 1/4, Fighting 1/4, Ghost 1/4. Steady-state probability distribution: Dark 1/6, Psychic 1/6, Fighting 1/2, Ghost 1/6

If Kecleon starts as the Fighting type and battles twice, the probability distribution of Kecleon's type is (1/3, 1/3, 1/3).

After many battles, the steady-state probability distribution of Kecleon's type is (1/3, 1/3, 1/3). This is because Kecleon has an equal chance of winning and losing battles against each of the other types, and so over time its type will converge to a uniform distribution.

If Kecleon starts as the Fighting type when Ghost Pokémon arrive and battles twice, the probability distribution of Kecleon's type is (1/4, 1/4, 1/4, 1/4).

After many battles, the steady-state probability distribution of Kecleon's type is (1/6, 1/6, 1/2, 1/6). This is because the presence of Ghost Pokémon alters the dynamics of the battles, causing Kecleon's type to converge to a non-uniform distribution where it is more likely to become a Psychic type due to the dominance of Ghost-type Pokémon over Fighting and Dark types.

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--The given question is incomplete, the complete question is given

" In a particular region of the Pokémon world, there are just three types of Pokémon: Dark, Psychic, and Fighting. Kecleon, the Color Change Pokémon, has the ability to change its type to blend into its surroundings. Its goal is to become the best type. It seeks to accomplish this goal by choosing a type of Pokémon to battle uniformly at random; it may choose a Pokémon of its own type. If it wins the battle, it will keep its old type. If it loses, it will take on the type of the Pokémon that defeated it. It continues this process indefinitely. For all questions assume that Dark Pokémon always defeat Psychic Pokémon, Psy- chic Pokémon always defeat Fighting Pokémon, and Fighting Pokémon always defeat Dark Pokémon. If two Pokémon of the same type battle, each has an equal chance of winning. a) Suppose that Kecleon starts as the Fighting type. After two battles, what is the probability distribution of Kecleon's type? (Your answer should be three numbers that sum to one.) b) After many (approaching infinity) battles, what is the steady-state probability distribution of Kecleon's type? (Your answer should be three numbers that sum to one.) A nearby graveyard is haunted! Ghost-type Pokemon invade the population. Assume that Ghost Pokémon always lose to Dark Pokémon, and always win against Psychic Pokémon and Fighting Pokémon. c) Suppose that Kecleon starts as the Fighting type when the Ghost Pokémon arrive. After two battles, what is the probability distribution of Kecleon's type? (Your answer should be four numbers that sum to one.) d) After many (approaching infinity) battles, what is the steady-state probability distribution of Kecleon's type? (Your answer should be four numbers that sum to one.)"--

The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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gj,xDGIDYOry

oFYORYODYIYDOCYODYODYODOYYDSOYSITTIsst.isti.ti.s.sitsi.ttsliyd.i.odygis.x.ittxi.x,jgxfj,.jtxtis.x.tii.ts.kdttic.

Answer:

24 hours for the following conditions. (Round your answers to the nearest whole number.) (a) No antibiotic is

Answer:

10\(\sqrt{3}\), or 17.32050

Step-by-step explanation:

Answer: 2 people in each hotel I think

Step-by-step explanation:

Hence,  when \(n=10\) the given inequality is true.

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.

So,

\(2(n + 2) < 5(n-1)\)

When

\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)

Hence,  when \(n=10\) the given inequality is true.

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Answer:

explantion

Step-by-step explanation:

exaplantion:

just a little bit but you can either

Other wise that is it

bonus ( in a way )

graphing.

Other wise that is it

                   The answer is this little thing on top↑↑↑↑

Answer:

y = x^2

Explanation:

Answer:

b. 5

Step-by-step explanation:

1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it is a prime number. While there are several prime numbers between 1 and 75, it is not guaranteed that the number she calls will be prime. However, given the range of numbers, the probability of calling a prime number is relatively high.

2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it is a perfect square. Perfect squares are numbers that can be expressed as the square of an integer. In the range of 1 to 75, there are only a few perfect squares, so the chances of calling one as the bingo number are relatively low, but not impossible.

3. An event that is certain to happen for the number Kenisha calls is that it will be an integer. Since the game is played with whole numbers from 1 to 75, the number called will always be an integer, as it represents a specific whole number in the given range.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The solution is given below.

1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it will be an odd number. Since there are 75 numbers in total and half of them are odd, there is a higher probability that the number called will be odd.

2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it will be a perfect square. There are only a few perfect square numbers between 1 and 75, so the chances of calling a perfect square number are lower compared to other numbers.

3. An event that is certain to happen for the number Kenisha calls is that it will be a number between 1 and 75. Since the numbers in the game range from 1 to 75, any number called by Kenisha will definitely fall within this range.

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Answer:

110000=p(1+0.019)^168

23.62p=110000

p=4660

credit: sqdancefan

Answer:

84330

Step-by-step explanation:

The compound interest formula gives the value of an investment.

 A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years. Using your given values, we can solve for P.

 110,000 = P(1 +0.019/12)^(12·14)

 P = 110,000/(1 +0.019/12)^(12·14) ≈ 110,000/1.00158333...^168

 P ≈ 110,000/1.30446

 P ≈ 84326.04 ≈ 84,330 . . . . dollars

The expressions  when simplified are x⁵x³x⁻² = x⁶ and (x⁻²y²)³(x²y³) = x⁻⁶y⁹

The solution to the equation 9 - x = 27 is x = -18

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

x⁵x³ˣ⁻²

Apply the law of indices

So, we have

x⁵x³x⁻² = x⁵ ⁺ ³ ⁻ ²

Evaluate the like terms

x⁵x³x⁻² = x⁶

Next, we have

(x⁻²y²)³(x²y³)

Open the brackets

So, we have

(x⁻²y²)³(x²y³) = (x⁻⁸y⁶)(x²y³)

Apply the law of indices

(x⁻²y²)³(x²y³) = x⁻⁶y⁹

Lastly, we have

9 - x = 27

This gives

x = 9 - 27

So, we have

x = -18

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Answer:

\(1156.8cm^3\)

Step-by-step explanation:

The volume of a cone is given as:

\(V =\frac{1}{3} \pi r^2h\)

where r = radius

h = height of cone

The height of the cone is 17.7 cm and its base radius is 7.9 cm (diameter is 15.8 cm).

Its volume is:

\(V = \frac{1}{3} * \pi = 7.9^2 * 17.7\\ \\V = 1156.8cm^3\)

Answer:

1157.3cm^3

Step-by-step explanation:

voume of a cone =V=πr^2h^3

Diameter = 15.8cm

Height = 17.7cm

Radius = diameter/2

= 15.8/2 = 7.9cm

Pi = 22/7

V = 22/7 ×7.9×7.9×17.7/3

= 22/7×62.41×5.9

V = 1157.25cm^3

Hence the volume of the cone is 1157.3cm^3

to the nearest 10th

The equation that represents the sentence "0.7 increased by a number is 3.8" is d) 0.7 + n = 3.8

To understand why this equation is the correct representation, let's break it down. The phrase "a number" can be represented by the variable n, which stands for an unknown value. The phrase "0.7 increased by" implies addition, and the number 0.7 is being added to the variable n. The result of this addition should be equal to 3.8, as stated in the sentence.

Therefore, we have the equation 0.7 + n = 3.8, which indicates that when we add 0.7 to the unknown number represented by n, we obtain a value of 3.8. This equation accurately captures the relationship described in the sentence, making option d, 0.7 + n = 3.8, the correct choice.

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Answer:

-2

Step-by-step explanation:

-5  -4  -3  -2  -1  0  1  2 3  4  5

The surface area of the new single-serving soup can, with a volume ratio of 24:8, will be approximately 11.164 square inches.

To determine the surface area of the new single-serving soup can, we can use the concept of ratios and proportions.

Let's assume the radius of the large can is represented by R and the radius of the single-serving can is represented by r.

The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.

We know that the large can has a volume of 24oz, so we have:

24 = πR^2h

Now, we need to find the height of the single-serving can. Since the large can and the single-serving can have the same height (we assume), we can set up a ratio of their volumes:

24/8 = πR^2h / πr^2h

Simplifying the equation, we have:

3 = (R^2h) / (r^2h)

Since the height cancels out, we can rewrite the equation as:

3 = R^2 / r^2

To find the ratio of the surface areas, we square both sides of the equation:

9 = (R^2 / r^2)^2

Now, we can find the surface area ratio:

100.48 / A = 9

Solving for A (the surface area of the single-serving can), we have:

A = 100.48 / 9

Calculating the value, we find that the new single-serving surface area will be approximately 11.164 in².

Therefore, the new single-serving soup can will have a surface area of approximately 11.164 square inches.

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Answer:

D. 4

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

Answer:

8.0

Step-by-step explanation:

Since we are trying to find the nearest tenth decimal place, we look at the hundredths place to figure it out. Since it is ≥5, we round up.

Answer:

The answer would be 8

Step-by-step explanation:

If you have a decimal and you need to round, if it is four and below, you would have just leave the number as it is if it is five and above, you round up.

Answer:

The expression representing the perimeter of the platter will be:

P = 10/3x units

Hence, option (D) is true.

Step-by-step explanation:

Let the length l of a rectangular platter will be =  x

As the width of a rectangular platter is 2/3 its length.

so the width w of a rectangular platter will be = 2/3x

As the perimeter of the platter is defined as:

P=2(l+w)

where l is the length, and w is the width

substituting length l = x and width w = 2/3x

\(P=2\left(x\:+\:\frac{2}{3}x\right)\)

    \(=2\cdot \frac{5}{3}x\)             ∵ \(x\:+\:\frac{2}{3}x=\:\frac{5}{3}x\)

    \(=\frac{10x}{3}\) units

Therefore, the expression representing the perimeter of the platter will be:

P = 10/3x units

Hence, option (D) is true.

The probability of selecting a boy from the given table is 0.4, and the probability of selecting a 7-year-old is 0.2.

To determine the probability of selecting a boy, we need to find the proportion of boys in the table. The table itself does not provide the total number of individuals, so we assume that the numbers represent the counts or frequencies. From the table, we see that there are 4 boys out of a total of 10 individuals. Therefore, the probability of selecting a boy is calculated as 4/10 or 0.4.

Similarly, to find the probability of selecting a 7-year-old, we look at the column for age. Among the 10 individuals, we see that 2 of them are 7-year-olds. Hence, the probability of selecting a 7-year-old is 2/10 or 0.2.

In summary, the probability of selecting a boy is 0.4, indicating that there is a 40% chance of choosing a boy from the given group. The probability of selecting a 7-year-old is 0.2, meaning there is a 20% chance of picking a 7-year-old from the group.

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We need to know about rate of change to solve the problem. The rate of change of volume of the sphere is 5026.55 sq/m.

Rate of change of a quantity is the rate at which it increases or decreases. It is given that the radius of the sphere increases at a rate of 1m/second. We need to find out the rate of change of volume of the sphere given the radius is 20m. We can calculate the rate of change of volume by calculating the derivative of volume with respect to time.

V=4/3\(\pi r^{3}\)

dV/dt=4\(\pi r^{2}\) dr/dt =4 x \(\pi\)x20x20x1=5026.55 sq m/ second

Therefore the volume of the sphere increases at  a rate of 5026.55 sq/m.

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The number of independent pieces of information used to calculate a statistic is called the degrees of freedom, which is frequently denoted by the letters v or df. I

Itbis determined by subtracting the number of restrictions from the sample size. Subtract the number of relations from the number of observations to determine degrees of freedom. You need to deduct one (1) from the total number of observations, n, in order to calculate the degrees of freedom for a sample mean or average.

The degrees of freedom for the chi-square are calculated as df = (r-1)(c-1) where

r = the number of rows

c = the number of columns.

If the observed chi-square test statistic is greater than the critical value, the null hypothesis can be rejected.

Note that an overview was given as the information you gave is incomplete.

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To determine the radii of the compound curve, we have a compound curve with a long chord of 150 m forming angles of 15∘ and 21∘ with the tangents. The common tangent is parallel to the long chord.

In a compound curve, the radii of the curves can be calculated using geometric relationships. Let's denote the radii as R1 and R2, where R1 is the smaller radius and R2 is the larger radius.

Using the given information, we can use trigonometry to relate the angles and radii. Since the common tangent is parallel to the long chord, the angles formed by the radii with the tangent are equal. Thus, we can set up the following equation:

tan(15∘) = R1 / (150/2)

Similarly, for the larger radius R2:

tan(21∘) = R2 / (150/2)

Solving these equations will yield the values of R1 and R2, which are the radii of the compound curve.

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The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.

The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.

For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:

Summing up these values gives us:

1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5

Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.

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Answer:

C or D, they look the same

Step-by-step explanation:

1. The graph passes through (2, -4) and (6, 0). You can use the rise over run formula to find the slope, so if you were to use the line to draw a triangle it would go to the right 2 spaces and up 1. Therefore the slope is 1/2.

2. Then you just need to see where the line crosses the y-axis (the vertical line). You can see here that it crosses at (0, -3).

3. Writing it in slope-intercept form is y = mx + (or -) b. Soooooo it would be y = 1/2x -3.

I hope this helped!

c. If all subsets of {A,B,C,D} are closed, every attribute determines itself and all other attributes. e. If only the closed subsets are {}, {B,C}, and {A,B,C,D}, it implies B and C determine themselves and each other, while A determines all attributes.

c. All subsets of {A,B,C,D} are closed.

If all subsets of {A,B,C,D} are closed, it implies that every attribute determines itself and all other attributes. This can be represented by the following set of functional dependencies:

{A → A, B → B, C → C, D → D, AB → AB, AC → AC, AD → AD, BC → BC, BD → BD, CD → CD, ABC → ABC, ABD → ABD, ACD → ACD, BCD → BCD, ABCD → ABCD}

d. The only closed subsets of {A,B,C,D} are {} and {A,B,C,D}.

If only the empty set {} and the set {A,B,C,D} are closed, it implies that no other attribute or combination of attributes determines any other attribute or combination of attributes. In this case, there are no non-trivial functional dependencies. Therefore, the set of functional dependencies consistent with this closure is:

{}e. The only closed subsets of {A,B,C,D} are {}, {B,C}, and {A,B,C,D}.

If only the empty set {}, the set {B,C}, and the set {A,B,C,D} are closed, it implies that the attribute B and C together determine themselves and each other, while the attribute A determines all attributes. This can be represented by the following set of functional dependencies:

{A → A, A → B, A → C, A → D, BC → B, BC → C, B → B, B → C, C → B, C → C, D → D}

These functional dependencies ensure that the only closed subsets are {}, {B,C}, and {A,B,C,D}.

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