The representation of did sign decimal integers in 8-bit binary (two's complement) -16 = 11110000.
The correct option is C.
What does an 8-bit number mean?A maximum of 256 values, or 0 through 255, can be represented by 8 bits. The total number of states that may be represented and the number of bits in a binary number are both listed in Table 5.1. G = gigabits; K = kilobits; M = megabits; 1,048,576 = gigabits; 1,0737,41,824 = kilobits.
Why does a byte consist of 8 bits?The most common number of bits in a byte is eight. A byte is a unit of digital information. The byte is indeed the smallest addressable unit of recollection in many computer architectures because historically, a single character of text was encoded in a computer using a byte's worth of bits.
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What is the 8-bit binary (two's-complement) representation of signed decimal integers -16?
A. 11111011
B. 11010110
C. 11110000
D. 10111000
An urn has 10 balls that are identical except that 7 are white and 3 are red. A sample of 8 is selected randomly without replacement. What is the probability that exactly 6 are white and 2 are red
The probability that exactly 6 are white and 2 are red is equals to 7/15 and the probability that at least 6 of the balls are white is equals to the 8/15.
The probability of a series of dependent of events may be found by finding the probability of each event and combining all the probabilities together. We have a urn which contains total 10 balls.
Number of white balls in urn, W = 7
Number of red balls in urn, R = 3
Now, a sample of 8 balls is selected randomly without replacement. We have to determine the probability that exactly 6 are white and 2 are red.
The number of ways selecting 8 balls among 10 = ¹⁰C₈ = 10!/8!2! = 45
The number of ways selecting 6 white balls among 7 = ⁷C₆ = 7!/6! = 7
The number of ways selecting 2 red balls among 3 = ³C₂ = 3!/2! = 3
Total number of ways selecting exactly 6 white and 2 red balls = 7×3 = 21
So, probability that exactly 6 are white and 2 are red,
= favorable outcomes/total outcomes
= 21/45
= 7/15
b) ‘At least 6 white balls’ selected in 8 balls means 6 white balls and 2 red, or, 7 white balls and 1 red.
Total number of ways selecting at least 6 of the balls are white,
= ⁷C₆ × ³C₂ + ⁷C₇ ³C₁
= 21 + 7!/7! × 3!/2! = 21 + 3 = 24
Probability that at least 6 of the balls are white = 24/45 = 8/15
Hence, required probability is 8/15.
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The question is in the picture below
Answer:
Number 3
Step-by-step explanation:
Divide each side by 4, so -10/4=4x/4
This give -2.5=x.
And since you divided, you used the dividing power oof equality.
So number 3
REARRANGE EQUATIONS PLEASE HELP ITS DUE IN TOMORROW
Answer:
from top to bottom:
x = y(v-w)
x = (yv/w)/2
x = (6+w)/v
x = (y-2w)/v
Step-by-step explanation:
Find the maximum value of
C = 3x + 2y
Subject to the following constraints:
x ≥ 0
y ≥0
x + 3y ≤ 15
4x + y ≤ 16
Enter
An example of an objective function is the greatest value of C.
The maximum value of C is 17
The objective function is given as C = 3x + 2y
The Constraints are,
x ≥ 0
y ≥0
x + 3y ≤ 15
4x + y ≤ 16
Plot the graphs of the constraints
The graph (attached) shows that the only ideal spot is (3,4)
In the goal function, change x and y to 3 and 4, respectively.
So, we have :
C = 3x + 2y
C = 3(3) + 2(4)
C = 9 + 8 = 17
Thus, the maximum value of C is 17.
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The highest temperature ever recorded in a particular city was 105°F, and the lowest was
- 27°F. Use absolute values to find the difference between the highest and the lowest
temperatures.
highest is 105F
the lowest is-27F
Cadence has cups of strawberries. She needs cup of strawberries to make a batch of tarts. How many batches can she make?
Answer:
How many cups does she have and how many does she need to make a batch? I do not think this questions is complete
Step-by-step explanation:
if the test scores of a class of 35 students have a mean of 75.3 and the test scores of another class of 26 students have a mean of 65.6, then the mean of the combined group is
Answer:The mean of combined group is 71.12 kg
Step-by-step explanation:
Mean of 35 students test score=75.3
Total score of 35 students=mean×test score
=35×75.3
=2635.5
Mean of 26 students test score=65=65.6
Total score of 26 students= 26×65.6
=1705.6
Mean of combined group=(Total score of 35 students+Total score of 26 student ÷Number of total students
=(12635.5+1705.6)÷61
=71.16
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The combined group's average is 71.16.
Given;
If the average test score for one class of 35 students is 75.3 while the average test score for another class of 26 students is 65.6
Mean of 35 student's test scores = 75.3
The total score of 35 students is the mean * test score
=35 * 75.3 =2635.5
Mean of 26 student's test scores = 65.6
The total score of 26 students = 26 * 65.6 =1705.6
Mean of combined group = (Total score of 35 students + Total score of 26 students) / Number of total students
= (12635.5 + 1705.6) / 61
= 71.16
Hence, the mean of the combined group is 71.16
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how would you determine the exact concentration of the solution made?
To determine the exact concentration of the solution made, one can divide the mass of the solute with the volume of the solution.
A solution is the substance formed by the mixture of solute in solvent. The solute may or may not be dissolved in the solution. One can determine the exact concentration of the solution if the mass of solute added in the specific volume of solution is known. If the solution is made by someone else, then its concentration can be determined by process of titration.
The concentration of a solution is expressed in the form of moles or grams per unit liter. If the solution is unknown and only its dissolved chemical is known, then titration will help in determining the closest value of concentration if performed without human error. In titration, the use of glassware that that is more precise than the flasks, beakers, and graduated cylinders are used.
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Refer to complete question below:
How do we determine concentration a solution? If it is a solution that we have made up, we can readily do the calculations required. But what if it is a solution that someone else has made? What technique can be used to gather information about a solution that we are given with no other information than the name of the chemical dissolved.
please help its urgentt
At a local theater, 2/3 of the seats are located on the main floor. The remaining seats are located in the balcony. There are 600 seats on the main floor.
How many total seats are in the theater?
For an upcoming show, 4/5 of the floor seats have been sold and 1/2 of the balcony seats have been sold. What overall fraction of the seats in the whole theater have been sold?
Overall fraction of sold seats is 0.63333...
How to find the total number of seats in the theaterFirst we use the fact that 2/3 of the seats are located on the main floor and the number of seats on the main floor is 600, so the total number of seats can be calculated as follows:
Total number of seats = 600 / (2/3) = 900 seats
Next, we can find the number of seats in the balcony:
Balcony seats = Total number of seats - Main floor seats = 900 - 600 = 300 seats
Next, we can find the number of sold floor seats:
Sold floor seats = 4/5 * 600 = 480 seats
And the number of sold balcony seats:
Sold balcony seats = 1/2 * 300 = 150 seats
Finally, to find the overall fraction of sold seats in the theater, we add the number of sold floor seats and the number of sold balcony seats and divide by the total number of seats:
Overall fraction of sold seats = (480 + 150) / 900 = 0.63333... (rounded to the nearest hundredth)
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Simplify 8u + 9 + 3u-50 o 110 + 14V O 5u+ 4v 110 + 4 0 150
Answer:
70uv+11u+440v-5491
Step-by-step explanation:
combine the like terms (if this is wrong i apologize, the circles threw me off as multiplication symbols so thats what i did)
Write the algebraic expression that matches each graph ...y = ___
Answer:
"absolute value function," y = |x|
Step-by-step explanation:
This is the graph of the "absolute value function," y = |x|.
<—> <—> AC and EG are I, and /_FBC is the complement of /_ABD. Find the m/_EBF.
We are given the following information
Line AC and EG are perpendicular.
Angle FBC is the complement of the angle ABD.
Angle FBC = (x + 4)°
Angle ABD = (5x - 10)°
We are asked to find the angle EBF.
Recall that when two angles are complementary then they add up to 90°
So we can write
\(\angle FBC+\angle ABD=90\degree\)Let us substitute the given values and solve for x.
\(\begin{gathered} (x+4)+(5x-10)=90 \\ x+5x+4-10=90 \\ 6x-6=90 \\ 6x=90+6 \\ 6x=96 \\ x=\frac{96}{6} \\ x=16\degree \end{gathered}\)So the angle FBC is
\(\begin{gathered} \angle FBC=x+4_{} \\ \angle FBC=16+4 \\ \angle FBC=20\degree \end{gathered}\)Since we know that lines AC and EG are perpendicular so the angle FBC and angle EBF must add up to 90°
\(\begin{gathered} \angle FBC+\angle EBF=90\degree \\ 20\degree+\angle EBF=90\degree \\ \angle EBF=90\degree-20\degree \\ \angle EBF=70\degree \end{gathered}\)Therefore, the angle EBF is 70°.
we are given an array of numbers and we are asked to find an optimal solution to maximize the sum of numbers (i.e continuous subsequence that has maximum sum). if the order of the input numbers were altered or if we use a different algorithm, we will always end up with the same combination of numbers as answer. T/F
The statement ''If the order of the input numbers were altered or if we use a different algorithm, we will always end up with the same combination of numbers as answer.'' is false because the order of the input numbers and the choice of algorithm can indeed affect the resulting combination of numbers that maximizes the sum.
The maximum sum of a continuous subsequence within an array depends on the values and arrangement of the numbers.
Different orders of the input numbers can lead to different maximum sums and different combinations of numbers that achieve those sums.
Similarly, the choice of algorithm can also impact the result. Different algorithms may employ different strategies for finding the maximum sum subsequence, which can yield different combinations of numbers as the optimal solution.
Therefore, it is incorrect to claim that altering the order of input numbers or using a different algorithm will always result in the same combination of numbers as the answer.
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15 solids and 15 liquids found in the kitchen.
Please help.
15 liquids that can be found in a kitchen include:
WaterMilkJuice Cooking oil VinegarWineSoy sauceHoneySoupKetchupMustardMayonnaiseSalad dressingEggnogCocktail mixers15 solids in a kitchen are:
FlourSugarSaltRiceBaking sodaBaking powderSpices NutsPastaButterCheeseBreadMeat Vegetables FruitsWhat are some solids and liquids in kitchens ?When it comes to solids in the kitchen, we can mostly find either food ingredients, such as salt, flour, and spices, or actual food that can be prepared such as meat, vegetables, and bread.
As for liquids, these can be anything from drinks such as juice, water and wine, to liquids used for cooking such as oil, soy sauce and vinegar.
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emyr sat his gsce maths exam. he scored a total of 112 marks out of the 200 possible.
helpppppppppppppppppppppppppppppppppppppp math will give brainy thing 50 points
Answer:
( - 10 , 6 )
Step-by-step explanation:
( \(\frac{x_{1} +x_{2} }{2}\) , \(\frac{y_{1} +y_{2} }{2}\) )
(- 4 + x ) / 2 = - 7 ⇔ - 4 + x = - 14 ⇒ x = - 10
( - 4 + y ) / 2 = 1 ⇔ - 4 + y = 2 ⇒ y = 6
( - 10 , 6 )
after a town is abandoned, the concrete parking lots remain empty and inactive for hundreds of years. what is the most likely order of ecological succession in that area?
The correct Option (B). Succession may be defined as the change in the ecological community of the species with respect to time. Two main types of succession are primary succession and secondary succession.
The living things that accumulate in the succession is from the simple organism to the complex organism. First lichens will evade in the land. After lichens grass then shrubs and finally the trees will cover the area and convert into the forest.
Primary succession occurs in basically dead areas—regions where the soil is incapable of supporting life due to causes such as lava flows, newly created sand dunes, or glacier-left boulders.
Pioneer microorganisms, plants (lichens and mosses), grassy stage, smaller shrubs, and trees are all stages of primary succession. When there is food available, animals begin to return. The climax community stage is reached when the ecosystem is fully functional.
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Full Question :
After a town is abandoned, the concrete parking lots remain empty and inactive for hundreds of years. What is the most likely order of ecological succession in that area?
A.grass → trees → lichens → moss
B.lichens → grass → shrubs → trees
C.lichens → grass → trees → shrubs
D.shrubs → grass → trees → lichens
What
are the quotient and remainder of (5x^4+5x^2 +5)/(x^2-x+1)?
Answer:
Quotient is \(5(x^2+x+1)\) and remainder is 0.
Step-by-step explanation:
Given: \(\frac{5x^4+5x^2+5}{x^2-x+1}\)
To find: quotient and remainder
Solution:
In the given question,
Dividend = \(5x^4+5x^2+5\)
Divisor = \(x^2-x+1\)
\(\frac{5x^4+5x^2+5}{x^2-x+1}\\=\frac{5(x^4+x^2+1)}{x^2-x+1}\\=\frac{5[x^2(x^2+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+x+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x^3+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1+x-1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1)+(x^2-x+1)]}{x^2-x+1}\\=\frac{5[(x^2-x+1)(x^2+x+1)}{x^2-x+1} \\=5(x^2+x+1)\)
So, quotient is \(5(x^2+x+1)\) and remainder is 0.
5/8+3/4 -2/3-5/6 solve
Answer:
-1/8
Step-by-step explanation:
5
8
+
3
4
−
2
3
−
5
6
Answer: -1/8 hope this helps
What is the reliability of a two-component product if the components are in parallel, with individual reliabilities of 0.95, and 0.80? group of answer choices 0.875 0.99 0.95 0.76 0.80
The reliability of a two-component product if the components are in parallel is 0.99.
In this question,
The probability of failure-free operation of a system with several parallel elements is always higher than that of the best element in the system. Reliability can be increased if the same function is done by two or more elements arranged in parallel.
A system contains two components that are arranged in parallel, they are 0.95 and 0.80.
Therefore the system reliability can be calculated as follows
⇒ 1 - ( 1 - 0.95 ) × ( 1 - 0.80 )
⇒ 1 - (0.05 × 0.20)
⇒ 1 - 0.01
⇒ 0.99
Hence we can conclude that the reliability of a two-component product if the components are in parallel is 0.99.
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PLS ANSWER ASAPP!!
THX
Plz help… A company makes steel rods shaped like cylinders. Each rod has a diameter of 4 centimeters and a height of 60 centimeters. If the company
used 54,259.2 cm of steel, how many rods did it make?
Use 3.14 for “Pie” and do not round your answer:
_____rods
Answer:
i d k if its right
Step-by-step explanation:
4 centimeters + 4 centimeters = 8 centimeters = diameter
60 centimeters = height
volume =
Divide the total volume of the metal by the volume of one roid.
Answer:
71 rods
Step-by-step explanation:
first we need to calculate the volume of 1 steel rode
diameter is 4, so radius = 2.
volume of right cylinder/ in our case steel rode = \(\pi r^2h\)
volume = \(\pi (2)^260 = 4\pi 60= 240\pi\)
if the company used 54,259.2 cm of steel, to calculate how many rodes it made, we divide 54,259.2 by 240\(\pi\)
n = 54,259.2/240pi = 71.96 rods, or you can say 71 rods
what value ofx is in the solution set of 3(x-4)>5x +2?
\(\boldsymbol{\sf{3(x-4) > 5x +2 }}\)
Use the distributive property to multiply 3 by x−4.
\(\boldsymbol{\sf{3x-12 > 5x+2 }}\)
Subtract 5x on both sides.
\(\boldsymbol{\sf{3x-12-5x > 2 } }\)
Combine 3x and −5x to get −2x.
\(\boldsymbol{\sf{-2x-12 > 2 }}\)
Add 12 to both sides.
\(\boldsymbol{\sf{-2x > 2+12 \ \longmapsto \ \ [Add \ 2 +12]}}\)
\(\boldsymbol{\sf{-2x > 14}}\)
Divide both sides by −2. Since −2 is < 0, the inequality direction is changed.
\(\boldsymbol{\sf{x < \dfrac{14}{-2} \ \ \longmapsto \ \ \ [Split]}}\)
\(\boxed{\boldsymbol{\sf{x < -7 }}}\)
So in the inequality 3(x-4)>5x +2, the value of x is -7.
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https://brainly.com/question/17070130Which expression can be used to find 80% of 120?
80% of 120
20%
20%
20%
20%
20%
Answer:
96
Step-by-step explanation:
80*120=9600 divided by 100
0.5(24x - 10) what is the expression
Answer:
12x-5
Step-by-step explanation:
calculate vred, the speed of red light in the diamond. to four significant figures, c=2.998×108m/s.
The speed of red light in a diamond, denoted as vred, is approximately equal to the speed of light in a vacuum, c, which is 2.998 × 10^8 m/s, rounded to four significant figures.
According to the principles of optics and the refractive index of a material, the speed of light in a medium is generally lower than its speed in a vacuum. The refractive index of a diamond is approximately 2.42.
To calculate the speed of red light in a diamond, we can use the formula vred = c / n, where c represents the speed of light in a vacuum and n represents the refractive index of the diamond.
Substituting the given values, we have vred = (2.998 × 10^8 m/s) / 2.42. Evaluating this expression yields a result of approximately 1.239 × 10^8 m/s.
Rounding this value to four significant figures, we obtain the speed of red light in a diamond, vred, as approximately 1.239 × 10^8 m/s.
Therefore, the speed of red light in a diamond, rounded to four significant figures, is approximately 1.239 × 10^8 m/s, which is slightly lower than the speed of light in a vacuum, c.
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When critiquing an observational study, which four factors should be analyzed?.
Overall, analyzing the four factors can help determine the validity and generalizability of the results of an observational study: Confounding Variables, Sampling Method, Data Collection Methods, Study Design.
Confounding Variables: Confounding variables are extraneous variables that are related to both the dependent variable and the independent variable, which can lead to a false association between the two. When critiquing an observational study, it is important to analyze whether confounding variables were adequately controlled for. This can be done by examining whether the study design accounted for potential confounders, such as through stratification or matching, or whether statistical techniques were used to adjust for confounding.
Sampling Method: The sampling method used in an observational study can have a significant impact on the generalizability of the results. It is important to analyze whether the study used a representative sample of the population of interest, and whether any biases were present in the sampling method.
Data Collection Methods: The methods used to collect data in an observational study can also impact the validity of the results. When critiquing an observational study, it is important to analyze whether the data collection methods were standardized and reliable, and whether any biases were present in the data collection process.
Study Design: The study design used in an observational study can also affect the validity of the results. When critiquing an observational study, it is important to analyze whether the study design was appropriate for answering the research question of interest, and whether there were any limitations or potential sources of bias in the study design.
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Which graph is an example of a function whose parent function is y = StartRoot x EndRoot?
On a coordinate plane, a curve starts at (negative 1, negative 1) and then curves up and to the right into quadrant 1.
On a coordinate plane, a parabola has a vertex at (0, 1).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 1. One curved decreases from quadrant 2 into quadrant 1 and approaches y = 1. It crosses the y-axis at (0, 2). The other curve approaches y = 1 in quadrant 1 and then curves down and approaches y = negative 1 in quadrant 3. It crosses the x-axis at (negative 2, 0).
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).
Using translation concepts, the graph of a translated function of \(y = \sqrt{x}\) is given by:
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
\(y = \sqrt{x}\) starts at (0,0) and in it's entirety, is in quadrant 1. When it is shifted down and left, it will start on quadrant 3 and increase into quadrant 1, hence the correct option is given by:
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).
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Answer:
A
Step-by-step explanation:
I took it
The fraction 9/15 is an equivalent fraction of
6/20
1/2
3/5
Answer:
3/5
Step-by-step explanation:
3/5 is equal to 9/15.
\(\implies {\blue {\boxed {\boxed {\purple {\sf { C. \: \frac{3}{5} }}}}}}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)
➺\( \: \frac{9}{15} \)
➺\( \: \frac{3 \times 3}{3 \times 5} \)
➺\( \: \frac{3}{5} \)
The fraction \( \: \frac{9}{15} \) is an equivalent fraction of \( \: \frac{3}{5} \).
\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)
What does a proportional relationship look like on a graph?