The decimal number that corresponds to the binary number 11111111 is 255.
What is decimal number?The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is the Hindu-Arabic numeral system's expansion to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system. A decimal number is made up of two parts: a whole number and a fractional component separated by a decimal point. The decimal point is the dot between the whole number and the fractions. 25.5, for example, is a decimal number.
Here,
In binary, each digit represents a power of 2, starting with the rightmost digit. The rightmost digit in 11111111 represents 2^0, the second digit from the right represents 2^1, and so on. To convert a binary number to decimal, you add up the value of each digit times the corresponding power of 2.
For 11111111, the calculation would be:
=1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 1 * 2^4 + 1 * 2^3 + 1 * 2^2 + 1 * 2^1 + 1 * 2^0 = 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1
=255
The decimal equivalent of the binary number 11111111 is 255.
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how many sequences of length 10 can be formed from the digits 1,2 and 3 if repetition is not allowed?
The number of sequences of length 10 that can be formed from the digits 1, 2, and 3 without repetition is 59,049.
The number of sequences of length 10 that can be formed from the digits 1, 2, and 3 without repetition is 3^10, or 59,049.
This is because for each of the 10 positions in the sequence, you have 3 choices: 1, 2, or 3, and since repetition is not allowed, the choices for each position are mutually exclusive.
Two occurrences are mutually exclusive or disjoint in logic and probability theory if they cannot occur at the same time. The set of outcomes of a single coin toss, which can result in either heads or tails but not both, is a good example.
Mutually exclusive is a statistical word that describes two or more occurrences that cannot occur at the same time. It is typically used to describe a circumstance in which the occurrence of one result takes precedence over the occurrence of the other. War and peace, for example, cannot exist together.
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please help find the midpoint of the segment with the given endpoints. (4,0) and (-2,-3) the midpoint is???
Answer:
(1, - 1.5 )
Step-by-step explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then
midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = (4, 0 ) and (x₂, y₂ ) = (- 2, - 3 ) , then
midpoint = ( [tex]\frac{4-2}{2}[/tex] , [tex]\frac{0-3}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex] , [tex]\frac{-3}{2}[/tex] ) = (1, - 1.5 )
(1, -1.5).
Step-by-step explanation:
The midpoint of a segment with endpoints (x1, y1) and (x2, y2) is given by the following formula:
((x1 + x2)/2, (y1 + y2)/2)
So, for the given endpoints (4,0) and (-2,-3), the midpoint is:
((4 + (-2))/2, (0 + (-3))/2) = (1, -1.5)
The midpoint of the segment is (1, -1.5).
Find the measure of the angle between two intersecting lines if successive reflections in these lines creates a rotation of 80 degrees
Answer:
wheres the pic to see rotation
Step-by-step explanation:
Write three fractions that are greater than 1/2 but less than one
(−6x−2)+(6x
2
−5x−10)
Answer:
6x^2 - 11x - 12
Step-by-step explanation:
(-6x-2)+(6x^2-5x-10)
6x^2 - 11x - 12
a company making refrigerators strives for the internal temperature to have a mean of 37.5 degrees with a standard deviation of 0.6 degrees, based on samples of 100. a sample of 100 refrigerators have an average temperature of 37.37 degrees. are the refrigerators within the 90% confidence interval?
Average temperature of sample of 100 refrigerator is 37.37 degrees. yes the refrigerators within the 90% confidence interval.
Yes, the temperature is within the confidence. A company making refrigerators strives for the internal temperature to have a mean of 37.5 degrees with a population standard deviation of 0.6 degrees, based on samples of 100.
The average temperature of the air that is indicated by a thermometer that is properly exposed during a given time period, usually a day, a month, or a year.
The confident choice is the criteria that you choose or the range that you choose that your answer might fall in this area according to your estimation as the chances of getting fail become lesser and lesser as your confidence about for choice increases.
There is a 5% chance if being wrong among the 95% confident choice . And also there is a 10% chance of being wrong with a 90% confident choice .But 99% confident choice will be wider as there will be minimum chance of being wrong.
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HELP pls will mark you the brainliest.
The ordered pair that represents the solution to the system of equations is given as follows:
(-3,-0.5).
How to solve the system of equations?The equations of the system are given as follows:
y = 0.5x + 1.y = 1.5x + 4.The x-coordinate of the ordered pair representing the solution to the system of equations is given as follows:
0.5x + 1 = 1.5x + 4
-x = 3
x = -3.
The y-coordinate of the ordered pair representing the solution to the system of equations is given as follows:
y = 0.5(-3) + 1
y = -1.5 + 1
y = -0.5.
Meaning that the correct option is given by the first option.
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Please help w/ explanation
Answer:
d)
Step-by-step explanation:
50-18=324
32÷50=0,64
350×0,64=224
Understand Percent Concepts - Leilani rides her bike for exercise and drinks 70 ounces of water each day in order to stay hydrated. Before her morning ride, she drinks 14 ounces of water. Leilani wants to know what percent of her daily amount of water she has before her ride. find and equivalent ratio where the total amount of water is 100 ounces.
Therefore , the solution of the given problem of percentage comes out to be the total amount of water is 100 ounces.
Define percentage.Any value that may be expressed as a fraction of 100 is referred to as a percentage in mathematics. The acronyms "pct.," "pct," or "pc" are also occasionally used. However, the "%" symbol is usually used to signify it. The proportional amount has no dimensions and is flat. Percentages can be viewed as fractions because their numerator is 100. To indicate that a number is a percentage, the percent symbol (%) must be used after the number.
Here,
Every day, Leilani consumes a total of 70 ounces of water. This implies that she consumes a total of 70 ounces of liquid every day before and after the ride.
She downs 14 ounces of water before her morning ride to be hydrated.
We would divide the quantity she drinks prior to the bike by the entire amount of water she consumes each day, then multiply the result by 100 to get the percentage of her daily water intake that she has before the ride. It develops
=> 14/70 × 100 = 20%\s=> 20
Thus, 20 equals 100 ounces of water in total.
As a result, the answer to the given 20-ounce problem is that there are 100 ounces of water in all.
Therefore , the solution of the given problem of percentage comes out to be the total amount of water is 100 ounces.
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HELP pls will mark u the brainliest
The linear equation is y = 20 + 2x and the complete table of values is
Kites purchased Total cost
0 20
1 22
4 28
7 34
10 40
How to complete the table of valuesFrom the question, we have the following parameters that can be used in our computation:
Cost of kite = $20 for shopping and $2 per kite
When this is represented as an equation, we have
y = 20 + 2x
Where x = the number of kites purchased
Using the above as a guide, we have the following:
When x = 4
y = 20 + 2 * 4 = 28
When x = 7
y = 20 + 2 * 7 = 34
When x = 10
y = 20 + 2 * 10 = 40
So, the missing entries are $28, $34 and $40
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CAN SOMEONE PLEASE HELP !!! ASAP
hello hello I am working for a company in North London with this machine and have 5.30am with this machine and it has been a few months now since yesterday and I have not received the refund so can I get in touch as I have not been able for any further action on this machine and I have not received the refund or refund the money back
Clint can spend at most $20 on his ticket and refreshments at a basketball game. His ticket to the game costs $4.50. Let a represent the amount Clint can spend on refreshments.
What inequality that can be used to represent the problem
The inequality that can be used to represent the problem is given as follows:
4.5 + a ≤ 20.
How to obtain the inequality?Clint's total spending is divided as follows:
$4.50 for the game ticket.$a on refreshments.Then the equation that represents Clint's total cost is given as follows:
T(a) = 4.50 + a.
The maximum amount that he can spend is given as follows:
$20.
Hence the inequality that can be used to represent the problem is given as follows:
T(a) ≤ 20.
4.5 + a ≤ 20.
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what can we say about the relationship between the correlation r and the slope b of the least-squares line for the same set of data?
The correct answer is the signs for r and b are the same (+ or ). The slope b and the correlation r don't necessarily have the same values, but they always share the same sign.
The idea employed in the issue is
1.Correlation
2.Regression
Correlation: Correlation analysis is used to gauge how strongly two variables are related. The symbol for the correlation coefficient is r.
Shape: Whether the data points follow a linear pattern or some other complex curves is indicated by the association's form. If it seems that a line would adequately summarise the overall trend in the data, then do so. The relationship between the two variables is then linear.
The appropriate statement can be found below:
The determination of the standard deviation between the two variables influences how a least-squares linear regression function slopes, and in a similar way, how the sample correlation coefficients are interpreted.
By examining the sign of the regression slope and the correlation coefficient, which depend on the standard deviation between the two variables, the proper conclusion can be drawn.
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Select the correct answer. Which model represents the quotient?
Answer:
A is the answer
Step-by-step explanation:
Jim is buying some clothes at Kohls. He buys a jacket that costs $75 and 5 pairs of shorts that each cost the same amount. He spends a total of $175 on the shorts and jacket. Write and solve an equation to find the cost of each pair of shorts.
The equation to find the cost of each pair of shorts is 175 = 75 + 5x where each short cost $20
How to write and solve an equation?Cost of jackets= $75
Number of shorts= 5
Cost of each short = x
Total amount Jim spent= $175
Total amount Jim spent = Cost of jackets + (Number of shorts × Cost of each short)
175 = 75 + 5x
subtract 75 from both sides
175 - 75 = 5x
100 = 5x
divide both sides by 5
x = 100/5
x = $20
Ultimately, each pair of shorts cost $20
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what is the conjugate of √3-√2
Answer:
3 + √2 best believe it haha
someone is interested in studying property tax rates in the united states. he randomly selects 25 homes and looks up their property tax rate. he is interested in studying the center, shape and spread of the data. what type of graph does he make? group of answer choices
The type of graph which will be made is Histogram.
A histogram is a particular kind of graph that is frequently used to examine the core, shape, and distribution of a set of data. The purpose of a histogram is to aid in summarising and providing a visual understanding of continuous data, as well as to assist users in data comparison and working with huge amounts of information.
In this given case, the user is interested in researching property tax rates in the US, so they choose 25 residences at random and research each one's property tax rate. They may visualise how the tax rates are dispersed and gain an understanding of the data's centre, shape, and spread by producing a histogram of the data. The property tax rates in the United States can then be inferred from this information.
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Question 1 of 10
Which of the following rational functions is graphed below?
The rational function graph is of the function f(x)=1/(x-6) since it does not touch the point (6,0).
What is function?A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. "A function is a rule that assigns one output to each input. They arise when each x-value corresponds to exactly one y-value." You've undoubtedly also heard of the vertical line test.
Here,
The graph of rational function is of function f(x)=1/(x-6) as it does not touch the point (6,0).
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Which expressions represent positive numbers?
(Choose 2)
Answer:
D
Step-by-step explanation:
4 dump trucks carry eight tons of gravel evenly between them. How much gravel is in
one dump truck? Draw a model, write an expression and solve.
There are 2 gravel is in one dump tuck.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
4 dump trucks carry 8 tons of gravel evenly between them.
Hence, Number of gravel in one dump truck = 8 / 4
= 2
Thus, There are 2 gravel is in one dump tuck.
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can anyone help me with this problem it is 3x-y=2 and y= 1/3x-11 and I have to answer if its in parallel, perpendicular or neither
Answer:
neither
Step-by-step explanation:
3x - y = 2 put this is slope-intercept form
-y = -3x + 2
y = 3x - 2 compare this to the other equation y = 1/3x - 11
slope of the 1st one: m = 3
slope of the 2nd one: m = 1/3
if the lines were parallel, the slopes would be the same
if the lines were perpendicular, one slope would be the negative reciprocal of the other
A water bottle holds 56 ounces of water. How many cups does the water bottle hold? (1 cup = 8 fluid ounces)
7 cups
9 cups
14 cups
48 cups
Total 7 cups are being holded by the water bottle.
What is a fraction ?
In Maths, a fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.
Given :
water bottle : 56 ounces of water
1 cup = 8 fluid ounces
Cups that holds 56 ounces of water = 56/8 [Since, 1 cup = 8 fluid ounces]
Cups that holds 56 ounces of water = 7
Cups that holds 56 ounces of water = cups that water bottle can hold
Thus , cups that water bottle can hold = 7
Hence , Total 7 cups are being holded by the water bottle.
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which of the following statements about the mean are true? check all that apply. it can be used for data that are measured on a nominal scale. it is algebraically defined (that is, there is an equation you can use to calculate its value). it is commonly referred to as the arithmetic average. it always corresponds to an actual score in the data.
The true statements about the mean are second, third, and fourth.
The following statements are true regarding the mean:It is algebraically described (that is, there is an equation we can use to calculate its value).
It is commonly directed as the arithmetic average.
The following statement is false regarding the mean:It can be utilised for data that are calculated on a nominal scale. The mean is appropriate for data that are measured on an interval or ratio scale but not for data that are measured on a nominal scale. Nominal scale data are categorical and do not have a meaningful order or distance between categories.
The following statement about the mean is sometimes true, sometimes false:
It always resembles an actual score in the data. This depends on the specific data set and the value of the mean. If the mean is a value that appears in the data, then it corresponds to an actual score in the data. If the mean is not a value that appears in the data, then it does not correspond to an actual score in the data.
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Directions: Based on the information given in the following problem, compute the gross pay.
Annual pay: $22,200. Calculate monthly pay.
gross pay: $
per month
The gross monthly pay for the given service is $1850
What is monthly pay?Monthly pay means the wages paid by an employer to an employee for the whole or part of the month during which the employee is employed by the employer.
Given that, the annual pay of some service is $22200, we need to calculate the monthly pay of same,
Therefore,
To find, monthly pay, we will divide annual pay by 12, because there are 12 months in a year,
Monthly pay = annual pay / 12
= 22200 / 12
= 1850
Hence, the gross monthly pay is $1850.
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name the sampling method used in this data collection. a student interview classmates in algebra class to determine how many pairs of jeans a students owns, on the average.
The average number of pairs of jeans owned by students in the sample can be calculated by taking the sum of the jeans owned by all students in the sample and dividing it by the number of students in the sample.
The sampling method used in this data collection is cluster sampling. Cluster sampling is a probability sampling technique that divides the population into separate groups or clusters and randomly selects a number of those clusters to be included in the sample. In this case, the population would be the students in the algebra class, and the clusters would be the individual students. Using a simple random sampling technique, the interviewer would select a certain number of students from the class and ask them how many pairs of jeans they own. The average number of pairs of jeans owned by the students in the sample would then be calculated by adding together the number of jeans owned by all of the students in the sample, and then dividing by the number of students in the sample.
Average number of pairs of jeans owned by students in sample = (Sum of jeans owned by all students in sample) / (Number of students in sample)
The average number of pairs of jeans owned by students in the sample can be calculated by taking the sum of the jeans owned by all students in the sample and dividing it by the number of students in the sample.
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1. 1/3x = 1
What is the value of x?
2. 2.11/0.25
3. Evaluate 0.7/2.1
4. 0.21 x 1.29
5. P - 3/4 = 1/8
Value of P?
The equations are simplified to:
1. x = 1/3
2. 8. 44
3. 0.35
4. 0.27
5. P = 7/8
How to simply the equationsFrom the information given,, we have that;
1. 1/3x = 1
to simply this, cross multiply
3x = 1
Make 'x' the subject
x = 1/3
2. 2.11/0.25
Divide the values
8. 44
3. 0.7/2.1
To evaluate this, divide the numerator by the denominator
0.35
4. 0.21 x 1.29
To simply, multiply the values
0.27
5. P - 3/4 = 1/8
collect like terms
P= 1/8 + 3/4
Find the LCM
P = 1 + 6 /8
P = 7/8
Hence, the values are simplified by multiplication, addition and division
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Find x y and z help please
The Values of x, y, and z will be 40, 43, and 97 for the given quadrilateral.
What is a parallelogram?A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.
Given a parallelogram ABCD that has ∠A = y + ?, ∠B = z, ∠C =43 + x. and ∠D = 97
In parallelogram opposite sides are Equal
thus,
z = 97
So, ∠B = 97
Since AD and BC are parallel
y will be the inner vertex angle of these lines
Thus,
y = 43
And Since, Sum of all angles in a triangle is 180 degrees.
For triangle ADC
97 + x + y = 180
Substitute the value of y
97 + 43 = 180
x = 40
therefore, the Values of x, y, and z will be 40, 43, and 97 for the given quadrilateral.
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Can someone help me please
Given the above Trigonometric expressions,
1) θ = 35°
2) θ =62°
3) θ = 90-y°
What is a Trigonometric expression?Trigonometric functions are real functions in mathematics that connect an angle of a right-angled triangle to ratios of two side lengths. They are widely utilized in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many more.
There are six expressions of an angle that are often used in trigonometry. Their names and acronyms include
sine (sin)cosine (cos)tangent (tan)cotangent (cot)secant (sec), and cosecant (csc).For A)
Sin(55) = cos (θ)
sin (55)= sin(90-θ)
Compare both sides
55 = 90 - θ
θ = 90 - 55
θ = 35°
For B)
Sin(θ) = Cos (28)
angle θ would be Arc sin (cos (28))
Thus,
θ = 62°
For C)
Cos(y) = sin (θ)
Angle θ = arc sin ( cos (y) )
Thus,
θ = 90 - y
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Can y’all please give me the answers I would truly appreciate it
Step-by-step explanation:
a.) So he has 13 coins and those coins are nickels and quarters. If we let n be nickels and q be quarters
n + q = 13 because the total number of quarters plus nickels is 13
The coins have a total value of $2.05
Nickels are 0.05 cents and quarters are 0.25 cents, which means
0.05n + 0.25q = $2.05
Making your system of equations
[tex]n + q = 13 \\ 0.05n + 0.25q = 2.05[/tex]
Answer:
a.) So he has 13 coins and those coins are nickels and quarters. If we let n be nickels and q be quarters
Step-by-step explanation:
Serena is making an experiment. for that, she needs 20 grams of a 52% solution of salt. she has two large bottles of salt water: one with 40% and the other with 70% of salt in them. how much of each must she use to make the solution she needs?
Pwease help
Serena needs 12 grams of the 40% solution and 8 grams of the 70% solution.
What is a linear equation?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Both linear equations with one variable and those with two variables exist.
Given Serena is making an experiment. for that, she needs 20 grams of a 52% solution of salt, one with 40% and the other with 70% of salt in them,
let her need x grams of the 40% solution and y grams of the 70% solution.
so x + y = 20.......(1)
and 0.40x + 0.40y = 20(0.52)
0.40x + 0.70y = 10.4
from equation 1 we get x = 20 - y
substitute in the equation 0.40x + 0.70y = 10.4
0.40(20 - y) + 0.70y = 10.4
8 - 0.40y + 0.70y = 10.4
0.30y = 10.4 - 8
y = 2.4/0.30
y= 8 grams
and x = 20 - 8 = 12 grams
Hence she use 12 grams of 40% solution and 8 grams of 70% solution.
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