The square root of 255 is approximately 15.969.
Given,
Root 255, \(\sqrt{255}\)
We have to find the square root of the number:
Square root of a number:
A number multiplied by itself is the square root of that number. Or we may say that after adding a number to itself, we must calculate its square root in order to go back to the original number. The square root of p, if it is a positive integer, is represented by p, so that p = q.
Now,
√255 = 15.9687194227
Which is approximately equals to 15.969
That is,
The square root of 255 is approximately 15.969
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Please select the correct answer from the group of answer choices for each part of the question:
1a. Consider the computing load of a sum of 100 scalar variables and one matrix subtraction of a pair of two-dimensional array with dimensions 100x100. Assume the matrix subtraction is fully parallelizable, calculate the speedup using 100 processors assuming 10 processors carry 20% of the load and the rest load is shared among the rest 90 processors evenly?
A: 101/3
B: 101/2
C: 101
D: 100
1b: For the following vector MIPS code DAXPY which performs Y=a x X+Y, fill the two blank instructions.
L.d $f1, a($sp) ;load scalar a
Lv $v0, 0($s0) ;load vector x
__________________ ;vector-scalar multiply
Lv $v2, 0($s1) ;load vector y
___________________ ;add y to product
Sv $v3, 0($s1) ; store the result
A:
mul.d $v1, $v0, $f1
add.d $v3, $v1, $v2
B:
mulvs.d $v1, $v0, $f1
addv.d $v3, $v1, $v2
C:
mul.d $v2, $v0, $f1
add.d $v3, $v1, $v2
D:
mulvs.d $v2, $v0, $f1
addv.d $v3, $v1, $v2
1c. Which of the following statement is incorrect?
A: Both multithreading and multicore rely on parallelism to get more efficiency from a chip.
B: In coarse-grained multithreading, switching between threads only happens after significant events such as last-level cache miss.
C: In fine-grained multithreading, switching between threads happens after every instruction.
D: Simultaneous multithreading (SMT) uses threads to improve resource utilization of statically scheduled processor.
1d. In the roofline model, the attainable GFLOPs/sec is set by _____?
A: Peak Memory BW x Arithmetic Intensity
B: Peak Floating-Point Performance
C: Min (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance)
D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance)
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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5 ft
8 ft
6:ft
Find the area.
10 ft
5 ft
Remember: A = πr²
A = [?] ft²
Round to the nearest
hundredth.
Use 3.14 for T.
The area of the composite figure with the given subshapes is 99.13 square feet
How to determine the area of the composite figureGiven the following parameters:
The composite figure with the following shapes
Semi-circle with diameter 8 ft
Triangle with base of 8 ft and height of 6 feet
Rectangle of 10 by 5 feet
The area of the composite figure is the sum of the individual areas
So, we have
Area = 1/2 * π(8/2)² + 1/2 * 8 * 6 + 10 * 5
Evaluate
Area = 99.13
Hence, the area is 99.13 square feet
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Please Help Me!
Milk is on sale for 40% off when it is normally $3.75 per gallon. How much will a gallon of milk cost?
The discounted price for milk is $_____(Round to the nearest cent.)
Answer:
$2.25 is the discounted price for each gallon.
Step-by-step explanation:
So you take 40% and convert it into decimal form, which is 0.4. Then you take $3.75 x 0.4 = 1.5. Then subtract $1.50 from $3.75, and that equals $2.25 each gallon.
Have a nice day!
Answer please, be sure your right or don’t answer at all.
Answer:
y > 1/3x -3
Step-by-step explanation:
Just find the equation of the line, which is y = 1/3x -3, and then determine what the symbol is going to be. Since the line is dotted, it will either be < or >. When the shaded area is on top of the line, it's >. Remember that by saying left on the bottom or right on top.
what annual medical costs will ronald pay using the sample medical expenses provided if he enrolls in the blue cross/blue shield plan?
Annual Medical cost = 1269.86
monthly premium cost to Ronald for the Blue Shield plan = $48.48.
For all doctor office visits, prescriptions, and major medical charges, Ronald will be responsible for 35 percent and the insurance company will cover 65 percent of covered charges.
The annual deductible cost = $630.
Ronald decided to review his medical bills from the previous year to see what costs he had incurred and to help him evaluate his choices. He visited his general physician 6 times during the year at a cost = $105 for each visit.
He also spent $71 and $95 on two prescriptions during the year.
= (Monthly premium cost × 12) + Deductible cost + (Coinsurance percent × Coinsurance expenses)
= (48.48 x 12) + 630 + (0.35 x 166)
= 1269.86
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the number of computers in private homes in a randomly selected area of queens follows the probability distribution described below. number of computers, x probability, p(x) 1 .40 2 .30 3 .20 4 or more ??? what is the probability that a randomly selected home in queens has 4 or more computers? 0.05 0.10 0.15 0.25 impossible to determine
The probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.
The given probability distribution table shows the probabilities of having 1, 2, or 3 computers in a randomly selected home in Queens. However, the probability of having 4 or more computers is not given in the table.
To find the probability of having 4 or more computers in a randomly selected home, we can use the complement rule. The complement rule states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, the event we are interested in is having 4 or more computers in a home, and the complement of this event is having 1, 2, or 3 computers in a home.
So, the probability of having 4 or more computers in a randomly selected home in Queens can be calculated as:
P(4 or more) = 1 - P(1 or 2 or 3)
P(1 or 2 or 3) = P(1) + P(2) + P(3) = 0.4 + 0.3 + 0.2 = 0.9
P(4 or more) = 1 - 0.9 = 0.1
Therefore, the probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.
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Suppose elementary students are asked their favorite color, and these are the results: - 24 % chose blue - 17 % chose red - 16 % chose yellow What percentage chose something other
43% of elementary students chose something other than blue, red, or yellow as their favorite color.
The percentage of elementary students who chose something other than blue, red, or yellow as their favorite color can be found by subtracting the sum of the percentages of those three colors from 100%.Blue: 24%
Red: 17%
Yellow: 16%
Total: 24% + 17% + 16% = 57%
Percentage chose something other:
100% - 57% = 43%.
Therefore, 43% of elementary students chose something other than blue, red, or yellow as their favorite color.
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The corner Deli operates on an overhead percent of 20% of the selling price, which results on an overhead of $1.25 on the company's private-labeled bags of corn chips. If the corner Deli has a markup of $4.35 on the bag of corn chips, find (a) selling price, (b) net profit, and (c) cost.
a) The Selling price at a markup of $4.35 on the bag of corn chips is $6.25 b) The Net profit a markup of $4.35 on the bag of corn chips is $3.10 c) The cost at a markup of $4.35 on the bag of corn chips is $1.90.
How to find selling price,net profit, and cost.We can use the following equations to solve for the selling price, net profit, and cost of the corn chips:
(a) Selling price = cost + markup
(b) Net profit = selling price - cost - overhead
(c) Overhead = overhead percent x selling price
Given that the overhead is $1.25 and the overhead percent is 20%, we can calculate the selling price as follows:
Now that we know the selling price, we can use equation (a) to calculate the cost:
(a) Selling price = cost + markup
$6.25 = cost + $4.35
Cost = $6.25 - $4.35
Cost = $1.90
(b) Net profit = selling price - cost - overhead
Net profit = $6.25 - $1.90 - $1.25
Net profit = $3.10
(c) Overhead = overhead percent x selling price
$1.25 = 0.2 x selling price
Selling price = $1.25 / 0.2
Selling price = $6.25
Therefore, the selling price of the corn chips is $6.25, the net profit per bag is $3.10, and the cost is $1.90.
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Recently, bats have been disappearing from the wild due to a contagious fungus. To monitor the current population in a certain region, Troy collects 78 bats, marks them, and releases them. Later, Troy collects 600 bats, and finds that 39 of them are marked. To the nearest whole number, what is the best estimate for the bat population?
Answer:
1200 bats
Step-by-step explanation:
78 - 39 = 39
600 x 2 = 1200(bats).
Find the value of X in this hexagon
Answer:
x = 130°
Step-by-step explanation:
number of sides = 6
the sum of the total interior angles = (6 x 180) - 360 = 720°
x = 720 - 125 - 120 - 100 - 120 - 125 = 130°
When is it better to compare data sets using the median instead of the
mean?
Answer:
when the data is skewed
The equation 2x2+2y2−8x−12y+16=0 2 x 2 + 2 y 2 − 8 x − 12 y + 16 = 0 defines a circle. Which of these shows a correct step for determining the center and radius of this circle? Choose all that are correct.
(2x2−8x+16)+(2y2−12y+36)=−16+36
(
2
x
2
−
8
x
+
16
)
+
(
2
y
2
−
12
y
+
36
)
=
−
16
+
36
(x−4)2+(y−9)2=5
(
x
−
4
)
2
+
(
y
−
9
)
2
=
5
(x2−4x+4)+(y2−6y+9)=−8+13
(
x
2
−
4
x
+
4
)
+
(
y
2
−
6
y
+
9
)
=
−
8
+
13
x2+y2−4x−6y=−16
x
2
+
y
2
−
4
x
−
6
y
=
−
16
(x−2)2+(y−3)2=5
what do i choose? because all i see is a lot of numbers and words lol
Given the equation f(x)=2x^2-14x+10, find g(x), the image of f(x) after a ry=x (reflection over the line y=x). Express your answer as a single fraction.
Given:
The function is:
\(f(x)=2x^2-14x+10\)
The function g(x), the image of f(x) after a \(r_{y=x}\) (reflection over the line y=x).
To find:
The function g(x).
Solution:
We have,
\(f(x)=2x^2-14x+10\)
Substitute \(f(x)=y\) in the given function.
\(y=2x^2-14x+10\)
The function g(x), the image of f(x) after a \(r_{y=x}\) (reflection over the line y=x). So, interchange x and y.
\(x=2y^2-14y+10\)
Now, we need to find the value of y.
\(x=2(y^2-7y+5)\)
\(\dfrac{x}{2}=y^2-7y+5\) [Divide both sides by 2]
\(\dfrac{x}{2}-5=y^2-7y\) [Subtract 5 from both sides]
Add both sides half of square of coefficient of y, i.e. \((\dfrac{-7}{2})^2\), to make it perfect square.
\(\dfrac{x}{2}-5+(\dfrac{-7}{2})^2=y^2-7y+(\dfrac{-7}{2})^2\)
\(\dfrac{x}{2}-5+\dfrac{49}{4}=y^2-7y+(\dfrac{7}{2})^2\)
\(\dfrac{x}{2}-5+\dfrac{49}{4}=\left(y-\dfrac{7}{2}\right)^2\) \([\because (a-b)^2=a^2-2ab+b^2]\)
\(\dfrac{x}{2}+\dfrac{49-20}{4}=\left(y-\dfrac{7}{2}\right)^2\)
Taking square root on both sides, we get
\(\pm\sqrt{\dfrac{x}{2}+\dfrac{29}{4}}=y-\dfrac{7}{2}\)
\(\dfrac{7}{2}\pm\sqrt{\dfrac{2x+29}{4}}=y\)
\(\dfrac{7}{2}\pm\dfrac{\sqrt{2x+29}}{2}=y\)
\(\dfrac{7\pm \sqrt{2x+29}}{2}=y\)
Substituting \(y=g(x)\), we get
\(\dfrac{7\pm \sqrt{2x+29}}{2}=g(x)\)
Therefore, the required function is \(g(x)=\dfrac{7\pm \sqrt{2x+29}}{2}\).
please help i really need it and please don't answer just to guess please i really need the help this is the only one
Answer:
18x
Step-by-step explanation:
-It is the same as 3x^-2 • 6x^3.
-Multiply the constants (in this case 3 and 6 =18)
-Add the exponents (-2+3=1)
-Your answer is 18x
A large university accepts 60% of the students who apply. Of the students the university accepts, 25% actually enroll. If 10,000 students apply, how many actually enroll?
Answer:
1500 students
Step-by-step explanation:
To do this you must figure how many people the university accepts by times the no. of students applying by the percentage that are accepted
10,000 X 60% = 6000 students
You then figure out the number of students that actually enrols by doing
no. of students accepted X 25%
6000 X 25% = 1500 students
If 10,000 students apply. Then the number of students who enroll will be 1,500.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A large university accepts 60% of the students who apply. If 10,000 students apply. Then the number of students who apply will be given as,
⇒ 0.60 x 10,000
⇒ 6,000
Of the students the university accepts, 25% actually enroll. Then the number of students who enroll is given as,
⇒ 0.25 x 6,000
⇒ 1,500
The number of students who enroll will be 1,500.
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The sides of an isosceles triangle are whole numbers, and its perimeter is 30 units. What is the probability that the triangle is equilateral?
The probability that the triangle is equilateral is `0`.
Let's assume that the two sides of an isosceles triangle are `a`. Then, the perimeter of the triangle is `2a + b = 30`, where `b` represents the base of the triangle.
Substituting the value of `b` in terms of `a` in the above equation, we get:`2a + 2sqrt(a^2 - (30 - 2a)^2/4) = 30`
Simplifying this equation, we get: 4a² - 120a + 675 = 4√(3)a²
Squaring both sides of the equation, we get: 16a⁴ - 960a³ + 40500a² - 243000a + 455625 = 0
The solutions of this equation are: a = 7, 15
The probability of the triangle being equilateral is 0.
An isosceles triangle can be equilateral only if its sides are of equal length. Since there is only one value of `a` such that `2a < 30` and `a` is a whole number, the probability of the triangle being equilateral is 0.
Hence, the probability that the triangle is equilateral is `0`. The given isosceles triangle can have sides of length `7-7-16` or `15-15-0`.
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solve using elimination 10x - 9y = -8 and 2x - 8y = -14
Answer:
x = 1, y = 2
Step-by-step explanation:
Multiply 2x - 8y = -14 by 5 to get 10x - 40y = -70
Subtract (10x - 40y = -70) - (10x - 9y = -8)
Solve -31y = -62 for y
y = 2
Plug in y value to get x value
x = 1
Help please, Which value of x satisfies the equation 7/3(x+9/28)=20
Answer:
Step-by-step explanation:
\(\frac{7}{3} (x+\frac{9}{28} )=20\)
\(7 (x+\frac{9}{28} )=60\) (multiplied both sides by 3)
\(x+\frac{9}{28} =\frac{60}{7}\) (divided both sides by 7)
\(x=\frac{60}{7}-\frac{9}{28}=\frac{240}{28}-\frac{9}{28}=\frac{231}{28} =8.25\) (subtracted \(\frac{9}{28}\) both sides and solved)
32 is 80% of what number?
Answer:
40
Step-by-step explanation:
Given :
32=0.8x
( x is unknown number )
x=32/.8
x=40
Math is not my favorite subject XD so help would be helpful
Answer:
g(x) = g = 3(x)
g(-10) = -30
Step-by-step explanation:
as we can see in the pattern, x times 3 is equal to g(x) -->
so we can conclude that g=3(x) which means g is 3 then multiply by x
finding g(-10) = 3(-10) => -30 and thus, we have our answers
Hope this helps ad sorry if it's a little not clear!
What kind of sequence is this? –149, 447, –894, 894, ...
Answer:
multiply by -3, multiply by -2, multiply by -1, ...
Step-by-step explanation:
lola rode her bike for 7/10 of an hour on Saturday, and 3/5 of an hour on Sunday.
How much longer did she ride her bike on Saturday and Sunday?
Answer:
She rode 1/10 of an hour more on Saturday
Step-by-step explanation:
Take the time she rode on Sunday and subtract that from Saturday
7/10 - 3/5
Get a common denominator
7/10 - 3/5*2/2
7/10 - 6/10
1/10
She rode 1/10 of an hour more on Saturday
Which statement about this equation is true?
2x + 4 = 2(x + 2)
Answer:
number 3 is right
Step-by-step explanation:
this equation has infinitely many solutions
4r + 9s + r+ r+ r+ r+r
Answer:
9 + 9
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Have a great day, be safe and healthy
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I need help please.......
Answer: I and III
Step-by-step explanation:
The origin is at (0,0).
When we look at the graph, we can see that the only visible x and y intercepts are at the origin, (0,0) (an x or y intercept is where the graph intersects the x or y axis). We also know that because the graph is going outwards, it will not have another x or y intercept. So, I is correct.
II would be incorrect because the maximum point would be WAY further up. The maximum point is the highest point the graph will reach.
III is correct because the origin is the lowest point, which means that the origin is the minimum point.
can someone tell me if this is right?
Answer:
yes it is right no one is mistake
Yeah.. It's alright. No problem..
what percent of the grid is shaded
Answer:
2%
Step-by-step explanation:
This grid is a 10 by 10, meaning there are 100 total squares. If only 2 of them are shaded, our fraction would be 2/100, which is equivalent to 2%
Which shows the equation below written in the form ax2 + bx + c = 0?
x + 9 = 4(x-1)^2
LOOK AT THE PICTURE REALLY EASY
Answer:
D
Step-by-step explanation:
We have the equation:
\(x+9=4(x-1)^2\)
To convert this to standard form, we can simply expand.
First, expand the right-hand side:
\(x+9=4(x^2-2x+1)\)
Distribute the right:
\(x+9=4x^2-8x+4\)
Subtract 9 from both sides:
\(x=4x^2-8x-5\)
Finally, subtract an x from both sides:
\(0=4x^2-9x-5\)
Flip:
\(4x^2-9x-5=0\)
Hence, our answer is D.
x equation 27 x 3/4 =125
Answer:
x = 500/81
Step-by-step explanation:
Which box plot represents data that contains an outlier?
A box-and-whisker plot. The number line goes from 1 to 10. The whiskers range from 1 to 9, and the box ranges from 3 to 8. A line divides the box at 7. 5.
A box-and-whisker plot. The number line goes from 1 to 10. The whiskers range from 1 to 10, and the box ranges from 6 to 8. 5. A line divides the box at 7. 5.
A box-and-whisker plot. The number line goes from 1 to 10. The whiskers range from 1 to 9, and the box ranges from 2 to 7. A line divides the box at 4.
A box-and-whisker plot. The number line goes from 1 to 10. The whiskers range from 3 to 9, and the box ranges from 5 to 7. A line divides the box at 6,
The box plot represents the data set 2, 4, 6, 8, 10, 12 is option (a) A box-and-whisker plot. The number line goes from 1 to 10. The whiskers range from 1 to 9, and the box ranges from 3 to 8. A line divides the box at 7. 5.
A box-and-whisker plot is a graphical representation of a data set that displays the distribution of the data, as well as its quartiles and any outliers. The plot is made up of a rectangular box, which represents the middle 50% of the data, with a line in the box representing the median. Two lines, called whiskers, extend from the box to represent the range of the data outside of the box, excluding any outliers. Outliers are any values that fall outside of the whiskers.
In the given options, the box-and-whisker plot that represents the data set 2, 4, 6, 8, 10, 12 is the one that has a box ranging from 4 to 10, with a median line dividing the box at 7. This means that 50% of the data falls between 4 and 10, with the median value being 7. The whiskers range from 2 to 12, indicating that the data set has a minimum value of 2 and a maximum value of 12.
Therefore, the correct option is (a) A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 4 to 10. A line divides the box at 7.
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The given question is incomplete, the complete question is:
Which box plot represents the data set 2, 4, 6, 8, 10, 12?
A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 4 to 10. A line divides the box at 7.
A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 4 to 8. A line divides the box at 6.
A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 4 to 9. A line divides the box at 6.
A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 6 to 10. A line divides the box at 8.
Answer: (B)
Correct Answer 100%! Pls, give me brainliest. Thank You!