The volume of this cone is 157 cubic yards. What is the height of this cone?

Since girls and boys have equal probability, iin a family with four children, they have probability equal to

so, the probability of having 3 boys and 1 girls is

that is, the answer is 3/16 which is equal to 0.19.

Answer:

9

Step-by-step explanation:

5'4 to 6'0 is 8

6'0 to 6'1 is 9

i think im right i dont use inches tho

The height difference between 5’4 and 6’1 is 9 inches.

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object.

There are two heights given.

5’4 and 6’1.

5'4 means that 5 feet and 4 inches.

1 feet = 12 inches

5 feet = 60 inches

5'4 = 60 inches + 4 inches = 64 inches

Similarly,

6'1 = 6 feet + 1 inch

    = (6 × 12) inches + 1 inch

    = 73 inches

Height difference = 73 inches - 64 inches = 9 inches

Hence the height difference is 9 inches.

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The null hypothesis (H0) states that the average age is equal to or greater than 30.8 years, while the alternative hypothesis (Ha) states that the average age is less than 30.8 years.

In hypothesis testing, we set up the null hypothesis (H0) and the alternative hypothesis (Ha) to investigate a claim or conjecture. In this case, the conjecture is that the average age of a senior surgical resident in the United States is less than 30.8 years old.

The null hypothesis (H0) assumes that the average age is equal to or greater than 30.8 years, and any difference observed in the sample is due to random chance or sampling variability. Therefore, the null hypothesis can be stated as:

H0: The average age of senior surgical residents in the United States is greater than or equal to 30.8 years.

The alternative hypothesis (Ha) represents the claim or the opposite of the null hypothesis. In this case, the alternative hypothesis states that the average age is less than 30.8 years, indicating that there is a significant difference or evidence against the null hypothesis. Therefore, the alternative hypothesis can be stated as:

Ha: The average age of senior surgical residents in the United States is less than 30.8 years.

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The correct answer is D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance).

1a. C: 101 to calculate the speedup, we need to consider the computing load distribution among the processors. In this case, 10 processors carry 20% of the load, which means each of these processors handles 2% of the load. The remaining 90 processors share the rest of the load evenly, so each processor among these 90 handles (100% - 20%) / 90 = 0.8889% of the load.

The speedup can be calculated using Amdahl's Law, which states that the speedup is limited by the portion of the program that cannot be parallelized. In this case, the matrix subtraction is fully parallelizable, so the only portion that cannot be parallelized is the sum of the scalar variables.

The speedup formula is given by: Speedup = 1 / [(1 - p) + (p / n)], where p is the portion that can be parallelized and n is the number of processors.

In this case, p = 0.02 (for the 10 processors) and n = 100. Substituting these values into the formula, we get: Speedup = 1 / [(1 - 0.02) + (0.02 / 100)] = 1 / 0.99 = 1.0101.

Therefore, the correct answer is C: 101.

1b. A:

mul.d $v1, $v0, $f1

add.d $v3, $v1, $v2

The code snippet performs the DAXPY operation, which multiplies a scalar value (a) with a vector (x) and adds the result to another vector (y). The blank instructions should be filled with the above choices.

1c. C: In fine-grained multithreading, switching between threads happens after every instruction.

In fine-grained multithreading, switching between threads happens after every instruction, which is an incorrect statement. Fine-grained multithreading allows switching between threads at a much finer granularity, such as cycle-by-cycle or instruction-by-instruction, to improve resource utilization.

1d. B: Peak Floating-Point Performance

In the roofline model, the attainable GFLOPs/sec is set by the peak floating-point performance of the processor. The roofline model is a performance model that visualizes the performance limitations of a system based on the memory bandwidth and arithmetic intensity of the code. The attainable performance is determined by the lower value between the peak memory bandwidth and the peak floating-point performance. Therefore, the correct answer is B: Peak Floating-Point Performance.

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c)  based on the p-value, we would compare it to α = 0.05 and make a conclusion accordingly.

a. To test whether the population mean daily number of texts for 25-34 year olds differs from the population mean daily number of texts for 18-24 year olds, we can state the following null and alternative hypotheses:

Null Hypothesis (H0): The population mean daily number of texts for 25-34 year olds is equal to the population mean daily number of texts for 18-24 year olds.

Alternative Hypothesis (Ha): The population mean daily number of texts for 25-34 year olds differs from the population mean daily number of texts for 18-24 year olds.

b. Given:

Sample mean (x(bar)) = 118.6 texts per day

Population standard deviation (σ) = 33.17 texts per day

Sample size (n) = 30

To compute the p-value, we can perform a one-sample t-test. Since the population standard deviation is known, we can use the formula for the t-statistic:

t = (x(bar) - μ) / (σ / √n)

Substituting the values:

t = (118.6 - 128) / (33.17 / √30)

Calculating the t-value:

t ≈ -2.93

To find the p-value associated with this t-value, we need to consult a t-distribution table or use statistical software. The p-value represents the probability of obtaining a t-value as extreme as the one observed (or more extreme) under the null hypothesis.

c. With α = 0.05 as the level of significance, we compare the p-value to α to make a decision.

If the p-value is less than α (p-value < α), we reject the null hypothesis.

If the p-value is greater than or equal to α (p-value ≥ α), we fail to reject the null hypothesis.

Since we do not have the exact p-value in this case, we can make a general conclusion. If the p-value associated with the t-value of -2.93 is less than 0.05, we would reject the null hypothesis. If it is greater than or equal to 0.05, we would fail to reject the null hypothesis.

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The  integer coordinates will be strictly inside the rectangular region is 80.

We can find the dimensions of the rectangle by taking the absolute value of the difference between the x-coordinates and y-coordinates of two adjacent vertices. In this case, the dimensions are |5 - (-5)| = 10 and |4 - (-4)| = 8.

To find the number of integer coordinates strictly inside the rectangle, we can count the number of lattice points (points with integer coordinates) inside the rectangle using Pick's theorem. Pick's theorem states that the area of a lattice polygon (a polygon whose vertices have integer coordinates) can be found using the formula A = I + {B}\{2} - 1, where A is the area of the polygon, I is the number of lattice points strictly inside the polygon, and B is the number of lattice points on the boundary of the polygon.

In this case, the area of the rectangle is 10 \times 8 = 80. The boundary of the rectangle consists of 10 lattice points on the top and bottom sides and 8 lattice points on the left and right sides, for a total of 36 lattice points on the boundary.

Using Pick's theorem, we can solve for I:

80 = I + {36}÷{2} - 1

80 = I + 18 - 1

I = 63

Therefore, there are 63 lattice points strictly inside the rectangle.

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Answer:

It should be 75.4

Step-by-step explanation:

The formula for a cylinders volume is V=\(\pi\)r^2h

so plugging those in would be

V=\(\pi\)(2)^2(6)= 75.4

Hope this helps!

Answer:

x = 5 and y = 22

Step-by-step explanation:

See attached image.

Answer:

$6.80

Step-by-step explanation:

1.79 x 3.8 = 6.802

So $6.80

Answer:

4.767857142857143

You need to revise the question, most likely.

Step-by-step explanation:

The required remainder and the quotient is 86 and 4 respectively.
None of the options are correct.

To determine the quotient and remainder by dividing 534÷112.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
112 ]  534  [4
      -448
   --------------
       086

Remainder = 86

Quotient = 4

Thus, the required remainder and quotient is 86 and 4 respectively.

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Answer:

2

Step-by-step explanation:

Given

< x₁, y₁ > and < x₂, y₂ > , then

the dot product is calculated as

x₁ x₂ + y₁ y₂

Given u = < 7, 4 > and v = < 2, - 3 > , then

u • v

= (7 × 2 ) + (4 × - 3 )

= 14 + (- 12)

= 14 - 12

= 2

Answer:

2.48$

Step-by-step explanation:

You can say that the tip is ? of of 13.75 and written as

\(\frac{?}{13.75}\) and .18 is \(\frac{18}{100}\) cross multiply these so

13.75 x 18 = 100?

247.5 = 100?

2.475 = ?

then round up

Answer:

1 1/2 miles

Step-by-step explanation:

(aka option A on edge)

Answer:

E

Step-by-step explanation:

NO

The likelihood event:

Player 1 is more likely to hit the ball than Player 2 because P (Player 1) > P (Player 2).

The correct option is A.

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Given:

Three softball players discussed their batting averages after a game.

Probability:

Player 1 = six tenths = 6/10

Player 2 = five ninths = 5/9

Player 3 = four sevenths = 4/7

To find better batting averages:

LCM of 10, 9 and 7.

10 = 2 x 5. 9 = 3 x 3, 7 = 7

So, the LCM (10, 9, 7) = 630

Now we have the number of chances are equal for each of the three players.

So, the P(Player 1) = 6/10 = 378/630

P(Player 2)= 5/9 = 350/630

P(Player 3)= 4/7 = 360/630

The Player 1 has better batting average than Player 2 and Player 3.

Therefore, Player 1 is more likely to hit the ball than Player 2 because P (Player 1) > P (Player 2).

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Answer:

B

Step-by-step explanation:

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

To solve the quadratic equation 3x^2 - 9x - 12 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a),

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 3, b = -9, and c = -12. Substituting these values into the quadratic formula, we have:

x = (-(-9) ± √((-9)^2 - 4 * 3 * (-12))) / (2 * 3)

= (9 ± √(81 + 144)) / 6

= (9 ± √(225)) / 6

= (9 ± 15) / 6.

We have two possible solutions:

For the positive root:

x = (9 + 15) / 6

= 24 / 6

= 4.

For the negative root:

x = (9 - 15) / 6

= -6 / 6

= -1.

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

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To find the change in y, Δy, we can substitute the given values of x and Δx into the equation y = 4√x and calculate the resulting values.

When x = 2, we have y = 4√2.

Next, we can calculate the value of y when x = 2 + 0.3 by substituting it into the equation:

y = 4√(2 + 0.3).

By evaluating these expressions, we can find the change in y, Δy, which is given by:

Δy = y(x + Δx) - y(x) = 4√(2 + 0.3) - 4√2.

For the second part of the question, to find the differential dy, we can use calculus notation. The differential dy is represented by dy, and it can be calculated using the derivative of y with respect to x multiplied by the differential dx.

In this case, the derivative of y = 4√x with respect to x is given by:

dy/dx = (4/2√x) = 2/√x.

Substituting x = 2 and dx = 0.3, we can find the value of the differential dy:

dy = (2/√2) * 0.3 = (2/√2) * (3/10) = 3/√2 * 3/10 = 9/(√2 * 10).

Therefore, the values are:

Δy = 4√(2 + 0.3) - 4√2

dy = 9/(√2 * 10).

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Answer:

The answer is -285

Step-by-step explanation:

Answer:

15/2

Step-by-step explanation:

hope it helps (•‿•)

The number of games, the friends have to play is an illustration of combination.

They have to play 28 games to ensure that they all play

Given

\(n = 8\) --- number of friends

\(r = 2\) --- only two friends can play at a time

For everyone else to play, we will make use of the following combination formula;

\(^nC_r = \frac{n!}{(n - r)!r!}\)

So, we have:

\(^8C_2 = \frac{8!}{(8 - 2)!2!}\)

\(^8C_2 = \frac{8!}{6!2!}\)

Expand

\(^8C_2 = \frac{8 \times 7 \times 6!}{6! \times 2 \times 1}\)

\(^8C_2 = \frac{8 \times 7}{2 \times 1}\)

\(^8C_2 = 4 \times 7\)

\(^8C_2 = 28\)

Hence, the 8 friends have to play 28 games to ensure that everyone else plays

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Dr. Brown used a randomized controlled trial (RCT) research design.

A randomized controlled trial (RCT) is a type of scientific experiment in which two or more groups of patients are subjected to various clinical treatments, interventions, or exposures. In an RCT, subjects are randomly allocated to either a treatment group or a control group, and the treatment group receives the new intervention being tested, while the control group receives the standard intervention or placebo.

Therefore, Dr. Brown used a randomized controlled trial (RCT) research design in which participants were randomly assigned to either the treatment condition or a comparison treatment condition, and their symptoms were measured before treatment, during treatment, and now 3-months post-treatment.

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The sum of the measures all the interior angles of a polygon having 14 sides is 2160°.

The formula we use for this is

Sum of interior angles of a polygon

= ( n-2)*180

Where “n” is the number of sides of the polygon.

Here n=14

So, sum = (14–2)*180 = 2160 degrees

Therefore, the sum of the measures all the interior angles of a polygon having 14 sides is 2160°.

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What will be the sum of the measures all the interior angles of a polygon having 14 sides?

The equilibrium price is the price at the equilibrium price is the price that brings supply and demand into balance, ensuring that the market clears and there is neither a shortage nor a surplus of goods.

The equilibrium price is the price at which the quantity demanded by consumers equals the quantity supplied by producers in a market. It is the point of balance between supply and demand.

At the equilibrium price, there is no shortage or surplus of goods in the market. The quantity demanded by consumers at that price matches the quantity supplied by producers, resulting in a state of market equilibrium.

If the price is set above the equilibrium price, there will be a surplus of goods because the quantity supplied exceeds the quantity demanded. Producers will be left with excess inventory, and they may need to lower the price to sell their goods.

On the other hand, if the price is set below the equilibrium price, there will be a shortage of goods because the quantity demanded exceeds the quantity supplied. Consumers will be willing to buy more goods at the lower price, and producers may need to raise the price to meet the increased demand.

Therefore, the equilibrium price is the price that brings supply and demand into balance, ensuring that the market clears and there is neither a shortage nor a surplus of goods.

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The angle between the ladder and the ground is - 0.075 rad/s.

Pythagoras' theorem is a essential relation in Euclidean geometry among the 3 facets of a proper triangle. It states that the region of the rectangular whose aspect is the hypotenuse (the aspect contrary the proper angle) is identical to the sum of the regions of the squares on the alternative  facets.

cosθ = x/10

On differentiating the above equation,

- sinθdθ/dt = (1/10)dx/dt

dθ/dt = -(1/10)dx/dt/sinθ

sinθ = y/10

= √(100 - 36)/10

= 0.8; dθ/dt

= -(1/10)·0.6 ft/s/0.8

= - 0.075 rad/s

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To find formulas for the entries of \( M^n \), we need to compute the matrix \( M^n \) for different values of \( n \) and observe the pattern.

Let's calculate \( M^2 \) first:

\( M^2 = M

\cdot M =

\left[\begin{array}{cc}

5 & 2 \\ -1 & 8

\end{array}\right] \cdot

\left[\begin{array}{cc}

5 & 2 \\ -1 & 8

\end{array}\right] =

\left[\begin{array}{cc}

(5 \cdot 5) + (2 \cdot -1) & (5 \cdot 2) + (2 \cdot 8) \

\ (-1 \cdot 5) + (8 \cdot -1) & (-1 \cdot 2) + (8 \cdot 8)

\end{array}\right] = \left

[\begin{array}{cc}23 & 34 \\ -13 & 62

\end{array}\right] \)

Now let's calculate \( M^3 \):

\( M^3 = M \cdot

M^2 = \left

[\begin{array}{cc}5 & 2 \

\ -1 & 8

\end{array}\right]

\cdot \left

[\begin{array}{cc}23 & 34 \

\ -13 & 62\end{array}\right] = \left

[\begin{array}{cc}

(5 \cdot 23) + (2 \cdot -13) &

(5 \cdot 34) + (2 \cdot 62) \

\ (-1 \cdot 23) + (8 \cdot -13) &

(-1 \cdot 34) + (8 \cdot 62)\end

{array}\right] = \left

[\begin{array}{cc}99 & 198 \

\ -121 & 474\end{array}\right] \)

By continuing this process, we can find formulas for the entries of \( M^n \):

\( (M^n)_{11} = 5^n - (-1)^n \)
\( (M^n)_{12} = 2 \cdot 5^{n-1} + 8^n \)
\( (M^n)_{21} = -5^n + (-1)^n \)
\( (M^n)_{22} = -2 \cdot 5^{n-1} + 8^n \)

These formulas hold true for any positive integer \( n \).

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The correct answer is

Let M=[ 5−128 ]. Find formulas for the entries of M n , where n is a positive integer.  M n =[  ]

To find the formulas for the entries of \( M^n \), where \( n \) is a positive integer, we can use the concept of matrix exponentiation.

Given \( M = \begin{bmatrix}5 & 2 \\ -1 & 8\end{bmatrix} \), let's calculate \( M^2 \) to understand the pattern:

\( M^2 = M \times M = \begin{bmatrix}5 & 2 \\ -1 & 8\end{bmatrix} \times \begin{bmatrix}5 & 2 \\ -1 & 8\end{bmatrix} \)

This gives us:

\( M^2 = \begin{bmatrix}(5 \times 5) + (2 \times -1) & (5 \times 2) + (2 \times 8) \\ (-1 \times 5) + (8 \times -1) & (-1 \times 2) + (8 \times 8)\end{bmatrix} \)

Simplifying further:

\( M^2 = \begin{bmatrix}23 & 22 \\ -13 & 62\end{bmatrix} \)

Now, we can observe that the entries of \( M^2 \) are formed by multiplying and adding the corresponding entries of matrix \( M \).

This pattern continues as we raise \( M \) to higher powers. For example, \( M^3 \) would be found by multiplying \( M^2 \) by \( M \), and so on.

Therefore, the formulas for the entries of \( M^n \) would be:

\( M^n = \begin{bmatrix}a_{11} & a_{12} \\ a_{21} & a_{22}\end{bmatrix} \)

Where:

\( a_{11} = (5^n) + (2^n) \)
\( a_{12} = (5^n) + (8^n) \)
\( a_{21} = (-1^n) + (8^n) \)
\( a_{22} = (-1^n) + (8^n) \)

These formulas allow us to calculate the entries of \( M^n \) for any positive integer \( n \).

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Answer:

Cannot be determined

Step-by-step explanation:

You get that angles 4 + 5 and 2 + 1 are equal to 180 each. We still have angle 3 left over, and that angle could be anything, so it cannot be determined

Answer:

well 4+5=180°, 1+3=180°, that's 360, so I guess can't be determined since there's still another angle???

Step-by-step explanation:

idk, the answer choices could be wrong or im just wrong

10e^(-3t)u(t) is the output voltage v (t) out for t ≥ 0.

To find the output voltage v(t) out for t ≥ 0 when n1 = 2, n2 = 4, and v_in(t) = 5e^(-3t)u(t), please follow these steps:

1. Identify the given terms:
  n1 = 2 (input turns)
  n2 = 4 (output turns)
  v_in(t) = 5e^(-3t)u(t) (input voltage)

2. Recall the voltage transformation equation for transformers:
  v_out(t) = (n2/n1) * v_in(t)

3. Plug in the given values:
  v_out(t) = (4/2) * 5e^(-3t)u(t)

4. Simplify the expression:
  v_out(t) = 2 * 5e^(-3t)u(t)

5. Final expression for the output voltage v(t) out for t ≥ 0 is:
  v_out(t) = 10e^(-3t)u(t)

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Answer:

-3

Step-by-step explanation:

9(2x + 5) + 6 = 6 + 3x

Do the distributive property first.

18x + 45 + 6 = 6 + 3x

Simplify the left side by adding like terms.

18x + 51 = 6 + 3x

Move the variables (x) to one side of the equation. I'm going to move the 3x to the left side by subtracting.

18x - 3x + 51 = 6

15x + 51 = 6

Move the constants to the others side. I'm going to subtract 51 from both sides.

15x + 51 - 51 = 6 - 51

15x = -45

Divide both sides by 15

15x/15 = -45/15

x = -3

Answer:

x = -3

Step-by-step explanation:

[Given]

9(2x + 5) + 6 = 6 + 3x

[Distrbute the 9]

18x + 45 + 6 = 6 + 3x

[Combine like terms on the left using addition]

18x + 51 = 6 + 3x

[Subtract 3x from both sides]

15x +51 = 6

[Subtract 51 from both sides to isolate the variable]

15x = -45

[Divide both sides by 15]

x = -3

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather