What is the sum of 5/2 + 5/6 + 5/24?

Answer:

2

Step-by-step explanation:

2

The result of the expression [2−11−23−2(−15)11]÷(−13) is -22.23

The given expression is

[2−11−23−2(−15)11]÷(−13)

The expression is the mathematical statement that consist of different variables, numbers and mathematical operators. The mathematical operators are addition, subtraction, division and multiplication, In expression the equal sign will not be a part in the expression

Multiply the terms in the square bracket

[2-11-2+300] ÷ (-13)

Do the arithmetic operation in the square bracket

[2-11-2+300] ÷ (-13) = 289 ÷ (-13)

Divide the terms

When a positive number is divide by a negative number the result will negative number.

289 ÷ (-13) = -22.23

Hence, the result of the expression [2−11−23−2(−15)11]÷(−13) is -22.23

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The given statement "As the level of confidence increases the number of item to be included in a sample will decrease when the error and the standard deviation are held constant." is False because error increases.

As the level of confidence increases, the required sample size will increase when the error and standard deviation are held constant.

This is because as the level of confidence increases, the range of the confidence interval also increases, which requires a larger sample size to ensure that the estimate is precise enough to capture the true population parameter with the desired level of confidence.

For example, if we want to estimate the mean height of a population with a 95% confidence interval and a margin of error of 1 inch, we would need a larger sample size than if we were estimating the same mean height with a 90% confidence interval and the same margin of error.

The larger sample size ensures that the estimate is more precise and that we have a higher level of confidence that it captures the true population parameter.

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Answer:

To help you with solving of this multiplication pyramid game we created small help: if the digit on the top of the multiplication pyramid is greater than 100, the digit will be pre-filled. Press "Check it" to find out if the result is OK.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

từ O hạ đường vuông góc xuống các cạnh AB, AC, BC các đường vuông góc đó sẽ bằng nhau

The slope of the line passing through the point A(-2, -7) and B(-5, -5) is - 2 / 3.

The slope of a line is the change in dependent variable with respect to the change in the independent variable .

The slope of a line is change in y divided by the change in x.

The slope of a line can be represented as follows:

slope = m = Δy / Δx

Therefore,

slope = y₂ - y₁ / x₂ - x₁

Hence,

using (-2, -7) and (-5, -5)

x₁ = -2

x₂ = -5

y₁ = -7

y₂ = -5

Therefore,

slope = -5 + 7 / -5 + 2

slope = 2 / -3

slope = - 2 / 3

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(a) The firm's output supply function is given by q = (p + 199) / 2.

(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.

(c) Each firm sells 70 computers in the long run.

(39 - 0.009q) = (2q - 2) / q

Simplifying the equation, we find:

q = (p + 199) / 2

This represents the firm's output supply function.

p = 39 - 0.009((p + 199) / 2)

Simplifying and solving for p, we get:

p ≈ $32.56

Substituting this price back into the output supply function, we find:

q = (32.56 + 199) / 2 ≈ 115.78

Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:

Number of firms = q / 70 ≈ 10

70 * 10 = 700

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The token has eight possible moves: four cardinal directions (up, down, left, right) and four diagonal directions (left-up, right-up, left-down, right-down).

If we consider a token positioned on an arbitrary square of a grid, and we are allowed to move the token diagonally to the adjacent right-up square, we can determine the number of possible moves.

Let's assume the token is on a square in a grid, and let's label the directions as follows:

```

1  2  3

4  T  5

6  7  8

```

where T represents the token, and the numbers 1-8 represent the possible directions the token can move.

In this scenario, the token can move in the following ways:

1. Move left (direction 4)

2. Move right (direction 5)

3. Move up (direction 2)

4. Move down (direction 7)

5. Move diagonally left-up (direction 1)

6. Move diagonally right-up (direction 3)

7. Move diagonally left-down (direction 6)

8. Move diagonally right-down (direction 8)

Therefore, the token has eight possible moves: four cardinal directions (up, down, left, right) and four diagonal directions (left-up, right-up, left-down, right-down).

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A sample is said to be picked in such a way that any potential subset of the same size has an equal chance of being chosen is known as simple random sample.

What is  simple random sample ?

A simple random sample, also known as an SRS, is a subset of people (also known as a sample) taken from a larger group of people (also known as a population), where the subset is selected at random and with an equal probability. This procedure involves choosing a sample at random. In SRS, the probability of selecting any subset of k individuals as a sample is the same for all subsets of k individuals.

Therefore, A sample is said to be picked in such a way that any potential subset of the same size has an equal chance of being chosen is known as simple random sample.

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Answer:

\(x(x−3)+2=x.x−3x+2 \\ =x2−3x+2 \\F or x=1 \\ putting \:  x=1  \: in \: expression \\ x2−3x+2=(1)2−3(1)+2 \\ =1−3+2 \\ =3−3 \\ =0\)

\(Solve  \: 3y(2y−7)−3(y−4)−63 for y=−2 \\ First \: simplify \: it, \\ =6y2−21y−3y+12−63 \\ =6y2−24y−51 \\ Put \:  y=−2 \: =6(−2)2−24(−2)−51 \\ =6×4+48−51 \: 6×4+48−51 \\ 24+48−51 \\ =21\)

Answer:

\(4.14*10^{-6}\)

Step-by-step explanation:

Well scientific notation is (something*10^(other thing))

so we count have many zeroes there are, and there are 6, so we move the decimal point 6 times and get

\(4.14*10^{-6}\)

Answer: It would take 6 "jumps" the left of 4.14 x 10^-6 to move the decimal back to where it actually is when not in scientific notation.   0.00000414

Step-by-step explanation:

hope this helps you :)

The correct option that indicates how Christa sliced the rectangular pyramid is the second option.

Christa sliced the pyramid perpendicular to its base through two edges.

A rectangular pyramid is a pyramid with a rectangular base and four triangular faces.

The height of the cross section indicates that the location where Christa sliced the shape is lower than the apex of the pyramid.

The trapezoid shape of the cross section of the pyramid indicates that the top and base of the cross section are parallel, indicating that Christa sliced the pyramid parallel to a side of the base of the pyramid, such that it intersects two of the edges of the pyramid

The correct option is therefore the second option;

Christa sliced the pyramid perpendicular to its base through two edges

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Answer:

-440

Step-by-step explanation:

Simplify

2(-4)^2+(-4)^3+24-18(-12)2

2(16)+(-64)+24-432

32-64+24-432

-440

Based on the description, it is not possible to provide a specific answer without a visual representation of the dot plot. However, I can explain each term and help you identify the correct answer once you examine the dot plot.


a) Approximately normal: The dot plot would resemble a bell curve, with most points centered around the mean and symmetrically distributed on both sides.
b) Bimodal without a gap: The dot plot would have two distinct peaks, but the points are continuous and do not have a gap between them.
c) Bimodal with a gap: The dot plot would have two distinct peaks, with a clear gap separating them.
d) Skewed to the right without a gap: The dot plot would have a longer tail on the right side, indicating higher values, with no gap in the data.
e) Skewed to the right with a gap: The dot plot would have a longer tail on the right side, indicating higher values, and a clear gap in the data.

To determine the correct answer, examine the dot plot and identify its shape based on the explanations provided above. Then, choose the option that best describes the dot plot.

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Answer:

A: (x = length y = width) x = 2y-3

B: The width equals 7

Step-by-step explanation:

B explanation: using the formula from and the information from B x = 11, 11 = 2y - 3 we add 3 to both sides 14 = 2y and divide by two, 7 = y

The binomial distribution formula, we need to know the probability of a small business being owned by a woman and the total number of small businesses.

The questions using the binomial distribution formula, we need to know the probability of a small business being owned by a woman and the total number of small businesses.

Without this information, it is not possible to provide accurate calculations. The binomial distribution formula is used when we have a fixed number of independent trials (small businesses in this case) and each trial has two possible outcomes (owned by a woman or not).

We would need the probability of success (p) and the number of trials (n) to calculate the probabilities. Once we have these values, we can use the formula to find the desired probabilities, such as the expected number of small businesses owned by women, the standard deviation, and the probabilities for specific scenarios.

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The expression is (2x² - √1-x²) / √4x²+1  

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, sin(arctan 2x-arccos x),

Let arctan2x = α, arccosx = β,

tanα = 2x and cosβ = x

Let 0 ≤ x ≤ 1,

Therefore,

0 ≤ α, β ≤ π/2

sin(α-β) = sinα·cosβ - sinβ·cosα....(i)

tanα = 2x, sec²α = tan²α + 1 = 4x²+1

cosα = 1 / √4x²+1......(ii)

tanα = 2x, ∴ sinα / cosα = 2x

sinα = cosα × 2x = 2x / √4x²+1

Also,

cosβ = x, sinβ = √1-x² .....(iii)

Put the equations (iii) and (ii) in eq(i)

Therefore, the required equation is,

(2x² - √1-x²) / √4x²+1

Hence, the expression is (2x² - √1-x²) / √4x²+1  

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Answer: \(12\pi\)

Step-by-step explanation:

The formula for area of a circle is \(\pi r^2=A\)

The formula for circumference of a circle is \(2r\pi=C\)

Where r is the radius

A is area

C is circumference

Knowing this we can sub our values in and solve for r in the formula for area

Divide both sides by \(\pi\) to isolate r

\(\pi r^2=A\\\pi r^2=36\pi \\\frac{\pi r^2}{\pi } =\frac{36\pi }{\pi } \\r^2=36\)

Take the square root of both sides

\(r^2=36\\\sqrt{r^2} =\sqrt{36} \\r=6\)

Now sub the value of r into the formula for circumference

\(2r\pi =C\\2(6)\pi =C\\12\pi\)

Answer:

\(12\pi \: c \: m\)

step by step explanation:

\(area \: of \: a \: cirle = \pi \: r {}^{2} \\ circmferene \: of \: a \: circle = 2 \:\pi \: r \\ 36\pi = \pi \: r {}^{2} \\ 36 = r {}^{2} \\ r = 6 \\ for \: circmference \\ 2 \times \pi \: \times 6 = 12\ \: \pi \: cm \)

Answer:

i think 6 because it has 3 rows and 2 columns that's 3 rows with 2 elements and that equals up to 6 hope that help

The mean height of the hexagon is 21.33 in.

To find the length of the sides of a regular hexagon with a perimeter of 372 inches, you must divide the perimeter by 6. This gives you a result of 62 inches for the length of each side. The other steps are:

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TRUE: Basketball players' height is seen as a continuous variable.

Yes, as lengths are continuous variables, the random variable does indeed refer to length.

Thus, Basketball players' height is seen as a continuous variable

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The probability that the first reading to be taken will be on, or before, the 7th house visit is 0.97, the probability that the operative will be able to take exactly 3 readings in his first 7 visits is 0.29, the probability that the operative will be able to take his 3rd reading on his 7th visit is 0.12 and the probability that the operative will be able to take his 3rd reading on, or before his 7th visit is 0.58.

Probability that an electricity company operative will be able to take a reading from a house meter is 0.4.

So p = 0.4

We can use binomial distribution to solve.

Case 1: the probability that the first reading to be taken will be on, or before, the 7th house visit

= 1 - 7C0 × 0.4⁰ × (1 - 0.4)⁷

= 1 - 1×1×0.6⁷

≈ 0.97

Case 2:  the probability that the operative will be able to take exactly 3 readings in his first 7 visits.

= 7C3 × 0.4³ × (1 - 0.4)⁴

= 7!/ (3!4!) × 0.4³ × 0.6⁴

≈ 0.29

Case 3: the probability that the operative will be able to take his 3rd reading on his 7th visit.

= 6C2×0.4²×0.6⁴ × 1C1×0.4¹×0.6⁰

≈ 0.12

Case 4: the probability that the operative will be able to take his 3rd reading on, or before his 7th visit.

= 7C3×0.4³×0.6⁴ + 7C4×0.4⁴×0.6³ + 7C5×0.4⁵×0.6² + 7C6×0.4⁶×0.6¹ + 7C7×0.4⁷×0.6⁰

≈ 0.58

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Answer: its 41 dude

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

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Answer:450 is the intercept. We see it when t=0 (where the line cross the y axis). -20 is the slope

Step-by-step explanation: y = 20 is a thing no one would ever solve for but to do it, 20=450-20t -> y =20 when t=(20-450)/20. I don’t know why anyone would ever need to find this value

Answer:

1.1 × 10^ 4

Step-by-step explanation:

Answer:

2.7*10^4 - 3.7*10^3

=10^3[2.7*10-3.7]

=10^3 [27-3.7]

=10^3 *23.3

=2.33*10^4

Hope this helps!!