Two points along a straight stick of length 34 cm are randomly selected. The stick is then broken at those two points. Find the probability that all of the resulting pieces have length at least 8.5 cm. probability

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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Answer:

(- 2, - 3 )

Step-by-step explanation:

y = 3x + 3 → (1)

y = x - 1 → (2)

substitute y = 3x + 3 into (2)

3x + 3 = x - 1 ( subtract x from both sides )

2x + 3 = - 1 ( subtract 3 from both sides )

2x = - 4 ( divide both sides by 2 )

x = - 2

substitute x = - 2 into either of the 2 equations and evaluate for y

substituting into (2)

y = - 2 - 1 = - 3

solution is (- 2, - 3 )

Answer:

y = -3, x = -2

Step-by-step explanation:

1. Substitute "y = x - 1" in for y in the first equation:

x - 1 = 3x + 3

2. Isolate x:

x = 3x + 3 + 1

3. Combine like terms:

-2x = 4

4. Solve for x:

-2x/-2 = 4/-2

x = -2

5. Solve for y with substitution (using the second equation):

y = -2 - 1

y = -3

hope this helps!

The equation -20,000(F/P, i*, 4) + 10,000 + 5,000 = 0 is used to calculate the project's internal rate of return (i*). The Option A/

The internal rate of return (IRR) is a metric used in financial analysis to estimate the profitability of potential investments. IRR is a discount rate that makes the net present value (NPV) of all cash flows equal to zero in a discounted cash flow analysis.

To get internal rate of return (i*), we need to solve the equation: \(-20 000(F/P, i*, 4) + 10 000 + 5 000 = 0\)

The initial cost of the project is -$20,000, the net annual cash inflow is $10,000 and the salvage value is $5,000. The equation represents the present value of cash flows over the project's duration.

Therefore, by solving the equation, we can determine the internal rate of return (i*) for the project.

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Answer:

39

Step-by-step explanation:

180 - 141 = 39

A straight angle equals to 180, since the lines are congruent, the angles have the same measurements.

Answer:

The value of x is 141° {Co interior angles}.

Step-by-step explanation:

Hope this helps you. Please mark me as Brainlist.

Answer:

Step-by-step explanation:

That last number there, the constant, represents the height from which the projectile was launched. So the platform is 108 m high.

Answer:

The lengths do form a triangle and it is a right triangle.

Step-by-step explanation:

Part I:

To find out if 3 segment lengths form a triangle, you must verify that the sum of the two SMALLER sides (6+8) is GREATER than the longest side (10). That is true for this case. We have a triangle

Part II:

To find out the type of triangle, we must incorporate the Pythagorean theorem:

Allele frequency of total cost cr = 73/(73 + 63 + 13) = 0.598 and cw = 1 - 0.598 = 0.402.

The allele frequencies of cr and cw can be estimated by looking at the total number of animals with each phenotype. For the shorthorn cattle in the sample, 73 were red (crcr), 63 were roan (crcw), and 13 were white (cwcw). To estimate the allele frequencies of cr and cw, it is necessary to calculate the proportion of cr and cw alleles in the population. To do this, the total number of alleles of each type must be calculated. For cr, there are 73 cr alleles (73*2 = 146). For cw, there are 76 cw alleles (63*2 + 13*2 = 126). The allele frequencies of cr and cw can then be calculated by dividing the total number of alleles for each type by the total number of alleles in the population (146 + 126 = 272). The allele frequency of cr is thus 73/(73 + 63 + 13) = 0.598, and the frequency of cw is 1 - 0.598 = 0.402.

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Answer:

48 96 and 192

Step-by-step explanation:

you just have to multiply by two

Answer:

c

Step-by-step explanation:

You have to use pemdas and you should get c

The person must score 136 to be in the top 5% of all scores in wechsler adult intelligence scale.

The formula for the normal distribution is;

z = (x - μ)/σ

where,

If we want to be in the top 5%, we must outperform 95% of the remaining scores. So we must investigate.

In with us standard normal probability table, look up 0.95 and get the Z score that corresponds to that.

z = 1.7

Put the value in formula ad find x.

1. 7 = (x - 110)/15

x = 25.5 + 110

x = 135.5

x = 136 (whole number)

Thus, the person must score 136 to be in the top 5% of all scores in wechsler adult intelligence scale.

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The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.

Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.

In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.

This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.

However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.

As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.

As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.

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Answer:

see explanation

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 8x + 8y + 23 = 0

collect the x and y terms together and subtract 23 from both sides

x² - 8x + y² + 8y = - 23

using the method of completing the square

add ( half the coefficient of the x / y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16

(x - 4)² + (y + 4)² = 9 ← in standard form

with centre = (4, - 4 ) and r = \(\sqrt{9}\) = 3

this is shown in graph b

Calculus Early Transcendentals is a branch of mathematics that deals with the study of rates of change and slopes of curves. It is a fundamental area of mathematics that is widely used in a variety of fields, including engineering, physics, economics, and science.

The core concept of Calculus Early Transcendentals is differentiation, which is the process of finding the derivative of a function. A derivative is essentially the rate of change of a function at a given point, and it is used to determine how the value of the function changes as its input changes.

In addition to differentiation, Calculus Early Transcendentals also covers integration, which is the process of finding the area under a curve. Integration is the inverse of differentiation and is used to find the total change in a function over a given interval.

Another important area covered in Calculus Early Transcendentals is optimization, which is the process of finding the maximum or minimum value of a function. This is a useful tool in many real-world applications, such as finding the minimum amount of time or energy required to perform a task.

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Answer:

2.78458131857796%

Step-by-step explanation:

Start by standardizing the 78 by subtracting the mean then dividing by the standard deviation

(78-68.2)/10.4= 0.942307692308

I'm going to assume that you have some sort of computer program that can convert this into a probability (rather than just using a normal table).

start by converting this into a probability: 82.6982434497094%. this gives us the probability that there score is less than 78. we want the probability that their score is more than 78. to find this, take the compliment: (1-0.826982434497094)= 0.173017565502906. From here, just use a binomial distribution to solve for the probability of 20 or more students having a score greater than 78. using excel, i get 2.78458131857796%.

As a note, if you are supposed to use a normal table, the answer would be 2.87632246854082%

Answer:

A = X

B=Z

C=Y

Step-by-step explanation:

As they are congruent, their corresponding angles are also congruent

Answer:

a)

angle a is congruent to angle x

angle b is congruent to angle z

angle c is congruent to angle y

b)

line ab is congruent to line xz

line ac is congruent to line xy

line bc is congruent to line zy

c)

triangle bca is congruent to triangle zyx

Answer:

Option B is correct

Step-by-step explanation:

1. x^2 - 2x - 3 = 0     where x = 3 and 1

=> 3^2 - 2(3) - 3 = 0

=> 9 - 6 - 3 = 0

=> 9 - 9 = 0

=> 0 = 0

=> 1^2 - 2(1) - 3 = 0

=> 1 - 2 -3 = 0

=> 1 - 5 = 0

=> -4 is not equal to 0.

So, Option A is incorrect.

2. x^2 - 4x + 3 = 0

=> 3^2 - 4(3) + 3 = 0

=> 9 - 12 +3 = 0

=> 12 - 12 = 0

=> 0 = 0

1^2 - 4(1) + 3 = 0

=> 1 - 4 + 3 = 0

=> 4 - 4 = 0

=> 0 = 0

So, Option is B Correct.

Answer:

\(\frac{9}{40}\)

Step-by-step explanation:

LCD: 120

\(\frac{4}{15} +\frac{7}{8} -\frac{11}{12}\)

\(\frac{32}{120} +\frac{105}{120} -\frac{110}{120}\)

\(\frac{27}{120}\)

\(\frac{9}{40}\)

Hope this helps!

Answer:

9/40

hope this helps.

The value of the variable x for the arc angle m∠AB and the angle it subtends at the center of the circle C is equal to 73.

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

Thus:

3x - 46 = x + 98

3x - x = 98 + 46 {collect like terms}

2x = 146

x = 146/2 {divide through by 2}

x = 73

Therefore, the value of the variable x for the arc angle m∠AB and the angle it subtends at the center of the circle C is equal to 73.

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Answer:

\(D = 900\ miles\) --- nearest 100 miles

\(D = 930\ miles\) --- nearest 10 miles

Step-by-step explanation:

Missing Information

\(Austin\ to\ Fort\ Worth: 189.9\ miles\)

\(Austin\ to\ Jackson: 552.7\ miles\)

On Monday, the total distance is:

\(D_1 =Austin\ to\ Fort\ Worth + Fort\ Worth\ to\ Austin\)

\(D_1 = 189.90\ miles + 189.90\ miles\)

\(D_1 = 379.80\ miles\)

On Tuesday, the total distance is:

\(D_2 = Austin\ to\ Jackson\)

\(D_2 = 552.70\ miles\)

So, the total distance (D) is:

\(D = D_1 + D_2\)

\(D = 379.80\ miles + 552.70\ miles\)

\(D = 932.50\ miles\)

To the nearest 100 miles, the total distance is:

\(D = 900\ miles\)

To the nearest 10 miles, the total distance is:

\(D = 930\ miles\)

Step-by-step explanation:

Hello!
I'd love to help you learn.
I see the formula attached is \(4*(\frac{1}{2})^{x} =-2^{x}-1\\\)

This problem is explaining you to graph, since algebraically it's a little more harder to try and find the solution.

Since they're both equal to each other, we can assign a variable like y, so we can make them into two individual lines.

You can use your scientific calculator to graph lines like this, or otherwise there are online sources (Desmos helps alot!) which can graph two equations as so.

Now that we have the corresponding system of equations, we can graph both.

\(y=4*(\frac{1}{2})^x\\ y=-2^x-1\)
Let's graph them on Desmos on the same plane. The answers are attached. Red is the first equation, blue is the second.

What determines the solutions of a system of equations?

-No solution: the two lines will never intersect/does not intersect ever, which means that there are no set point where it satisfies both equations.

-One solution: the two lines intersect once and only once, meaning that there is that one set point where the x and y values both satisfy both equations.

-Multiple solutions: the two lines will intersect each other multiple times, meaning there are multiple set points where the x and y values satisfy both equations. You usually will not have to worry about these problem sets.

-Infinite solutions: the two lines are both the same line, which means every x and y value will satisfy both equations.

Looking at the solution attached, we can see that there are no places where a system of equations intersect, therefore ruling it that they have no solution.

And to answer your last question, an asymptote is a imaginary line in which a equation can approach closely and closely, but will never touch that imaginary line. Think of a line at y=\(\frac{1}{x}\). When you graph it, you can see that the two lines never ever EVER intersect the y-axis, or x=0; giving that x=0 as a vertical asymptote.

Average price of one Lego set = $20

Total price

\(\\ \sf\longmapsto 12(8)=\$96\)

You have enough price

Answer:

17

Step-by-step explanation:

First, find the sides by looking at how many squares are filled. Using that you add to find the perimeter. (In this case, it was 8.5) Take the perimeter and multiply it by 2. Then you have your answer. (17.) If it was the other way around you would multiply by 1/2.

The given statement describes descriptive statistics.

Therefore, the given statement describes descriptive statistics.

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Answer:

891

Step-by-step explanation:

v=bh which is base-9x11=99 height=9 so,

v-99x9=891

Answer:

this so hard

Step-by-step explanation:

Answer:

3=m/12

3×12=m

36=m.

................

Answer: 1251

Step-by-step explanation:

Given

Leia is setting up 417 toy cars

Each car needs 3 batteries to drive

So, 417 cars need

\(\Rightarrow 417\times 3\\\Rightarrow 1251\ \text{batteries}\)

Thus, 1251 batteries is needed.

Greetings from Brasil...

According to the properties of potentiation:

(aⁿ . bⁿ) = (a . b)ⁿ

then

160 = 16 . 10

160³ = (16 . 10)³ = 4096000

The minimum distance you can park from a driveway leading from a fire department can vary depending on the local laws and regulations in your area.

However, it is important to keep in mind that fire departments need clear and unobstructed access to their driveways at all times, in case of an emergency.
In many areas, the law requires a minimum distance of 20 feet from the edge of a fire department driveway to the nearest parked vehicle. This distance allows fire trucks and emergency vehicles enough space to turn, enter, and exit the driveway without any obstruction or delay.
It is also important to note that blocking a fire department driveway can result in a hefty fine or even a vehicle being towed away. This is because obstructing the entrance and exit to a fire department can cause unnecessary delay, which can be dangerous or even fatal in emergency situations.
Overall, it is important to always be aware of your surroundings and the laws in your area when parking near a fire department or any other emergency service. By doing so, you can ensure the safety and accessibility of these essential services at all times.

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Answer:

45 degrees

Step-by-step explanation: