Thus, 0 itself is the sole position at which [0,∞] and (0,∞] are separated. Since it is in [0,∞] the set is closed. Given that it is not in (0,∞), the set is open interval.
A (real) interval in mathematics is a collection of real numbers that includes all real numbers that fall within any two of the collection's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1. The collection of numbers such that 0 x 1 and the collection of all real numbers are other examples of intervals.
the empty set, any singleton, the set of positive real numbers, the set of nonnegative real numbers, and (set of one element).
Because they are the most basic sets whose "length" (or "measure" or "size") is straightforward to define, real intervals are crucial in the theory of integration. The Borel measure and finally the Lebesgue measure result from extending the notion of measure to more intricate sets of real numbers.
Interval arithmetic is a broad numerical computing technique that automatically generates assured enclosures for arbitrary formulas, even in the presence of uncertainties, mathematical approximations, and arithmetic roundoff. Intervals are at the centre of this technique.
Therefore, 0 itself is the sole place at which [0,∞] and (0,∞] have a boundary. Due to its location in [0,∞] the set is closed. Since it is not in (0,∞), the set is unclosed.
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Reflect shape A in the line y = -x.
Answer:
pentagon
Step-by-step explanation:
pentagon...................................
The tape diagram shows that Shanice spent 120 minutes researching for debate club last week, what percentage would 110% be out of 120mins ??
Answer: 110% of 120 minutes is equal to 132 minutes.
Step-by-step explanation:
To calculate percentiles:
Put in the number that you are trying to find the percentage of (120 in this case) in the calculator.Take the percentile (110% in this case) and divide it by 100.Take your new percentile number and multiply your decimal numberThe answer in the calculator is the answer to your percentile question.
1/12 plus 1/4 pleaseee
Answer:
1/3
Step-by-step explanation:
1/4 is equal to 3/12. So then we add the 3/12 and the 1/12 and get 4/12. 4/12 is equal to 1/3, so that is our answer. Hope this helps!
Can anyone help please for e and f
Therefore ,this maxima of the preceding problem is 2 ≥ 0 , which leads to x²+90=> f(x) ≥ 9 , indicating that there is no maxima.
Describe maxima.The maxima & minima of the a function are its maximum and minimum points within or across a given range, and these points are collectively referred to as extrema in mathematical analysis. The highest value of the variable. The maximum amount, level, etc. The variable can only take a maximum of 2. Maximum refers to a peak (plural maxima). The lowest position is referred to as minimal (multiple minimum). Extremum is a phrase for the largest or least of anything (multi-extremum). Peaks (or minima) are used if there are better (or worse) sites available elsewhere but they are not nearby.
Here,
Given :
=> f(x) = x²+9 20
=> x²+9>0 and
=> f(x) 9,
maxima are not possible.
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In what quadrant does 2/3 lie?
The point (2, 3) lies in the first quadrant.
Quadrant
The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes.
These are often numbered from 1st to 4th and denoted by Roman numerals: I (where the signs of the (x; y) coordinates are I (+; +), II (−; +), III (−; −), and IV (+; −).
Cartesian system
The Cartesian coordinate system uses a horizontal axis that is called the x-axis and a vertical axis called the y-axis. Equations for lines in this system will have both the x and y variable.
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A measurement which could be the side lengths of a right triangle include the following: C. √24 in, √6 in, √30 in.
How to determine the side lengths?In order to determine which measurements could be the side lengths of a right triangle, we would have to apply Pythagorean's theorem.
Mathematically, Pythagorean's theorem is given by this formula:
x² + y² = z²
From the side lengths of the first triangle, we have the following:
(√6)² + (√30)² = (√33)²
6 + 30 = 33
36 = 33 (False).
From the side lengths of the first triangle, we have the following:
(√27)² + (√18)² = (√48)²
27 + 18 = 48
45 = 48 (False).
From the side lengths of the first triangle, we have the following:
(√6)² + (√24)² = (√30)²
6 + 24 = 30
30 = 30 (True).
From the side lengths of the first triangle, we have the following:
(√18)² + (√21)² = (√48)²
18 + 21 = 48
39 = 48 (False).
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plsplsplsplsplspls help me
Find the measure of an interior angle of a regular hexagon
Therefore , the solution of the given problem of angles comes out to be
Each inner angle of a regular hexagon measures 120 degrees.
Exactly what angles are there?Two rays that converging at the vertex, or center, of an angular structure in geometry make up the structure. We refer to these rays as the faces of the angle. Two beams may well be able to create any angle within just a planar depending on their location. Additionally, an angle is created when two planes intersect. .
Given: A standard hexagon
Measure each internal angle of a standard hexagon.
Solution:
(n - 2) x 180° is the formula for the sum of lengths of a polygon's inner angles.
Every side of a regular polygon is the same length, and every angle is the same size.
A hexagon has six sides.
Find the total of the measurements of the internal angles of a hexagon by substituting n = 6 in (n - 2) x 180n latitude in step 1.
=> (n - 2) * 180°
=> (6 - 2) * 180°
=>4 * 180°
=> 720°
Step 2: Since a regular hexagon has six sides and all of its sides and angles are equal in size, divide by six to obtain the dimensions of each inner angle.
=> 720° /6
=> 120°
Each internal angle of such a regular polygon is 120 degrees in length.
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p = -log(2.1x10^12)
what is p?
The value of p is 12.322
what is the logarithmic function?In mathematics, the logarithmic function is an inverse function to exponentiation. The logarithmic function is defined as: For x > 0 , a > 0, and a ≠1, y= logₐ x if and only if x = a^y Then the function is given by f(x) = logₐ x The base of the logarithm is a. This can be read it as log base a of x.
Given here p=-log(2.1×10¹²)
p= - ( log(2.1) +12 log10)
p= -(0.322+12)
p=12.322
Hence, the value of p is 12.322
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Which inequality could it be?
Answer:
95 < 60.5 + 3x
Step-by-step explanation:
60.5 + 3x represents how much he will pay each month and wants to keep that under 95, hence the less than sign
Please help I will give Brainiest answer
Answer: b
Step-by-step explanation:
4-3
——-
13.40- 10.05
= 1/3.35
=b
work out the size of angle x
ill mark brainliest first corect answer!
Answer:
65°
Step-by-step explanation:
First we find the sizes of the other two sides, as the bottom line is straight all angles on it must add up to 180 so:
180-105=75
So the first angle is 75°
180-140=40
So the second angle is 40°
Now as the angles of a triangle add up to 180 we can derive this equation:
75+40+x=180
and all we do is just subtract both sides by 75 and 40:
x=180-75-40
x=65
And 65 is our answer
For number 10.
And 11 please
Answer:
10. (4,-3) 11. (-3,-2)
Step-by-step explanation:
The left number is x and the right number is y.
So you just need to look for each coordinate and see if the line is touching it.
A sample of size 95 will be drawn from a population with mean 25 and standard deviation 13. Find the probability that will be between 22 and 27.
1.3338 is the likelihood, The probability of anything occurring is known as probability.
How are probabilities calculated?The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.
The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.
Explanation:
Mean (m) = 25
The standard deviation is 13
Sample size (n) is 95.
Chance that x will fall between 22 and 27.
Zscore = x - mean / s / n
If x = 22, Zscore is equal to (22 - 25) / (13/95).
For x = 27, Zscore is equal to (27 - 25) / (13/95) / n = 13 / 95, which is 1.3338.
1.3338 is the likelihood.
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Is halting problem is unsolvable?
Therefore, the answer to the provided problem of tractable problem turns out to be the most common problem that has been shown to be insoluble.
What exactly is a tractable problem?a method that takes a polynomial amount of time to finish a manageable task. It makes advantage of the polynomial upper bound. Intractable refers to a problem that cannot be addressed in a polynomial amount of time. The bound has an exponential minimum.
Here,
It is the most common issue that has been shown to be intractable since there is no program that can fix the stopping trouble for sufficiently general computer programs.
We need to be clear about the kind of computer program we're talking about.
Therefore, the answer to the provided problem of tractability turns out to be the most common problem that has been shown to be insoluble.
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The length of a rectangle is 2 centimeters less than its width. What are the dimensions of the rectangle
if its area is 225 square centimeters?
Write the following equation is standard form.
Which triangles are congruent by ASA?
ABC and TUV
VTU and ABC
VTU and HGF
none of the above
please help ASAP ...
Answer:
52%
Step-by-step explanation:
I am assuming it asking what is the chance a boy is picked.
13+12 = 25 total kids
100/25 = 4% chance for each kid to be picked
13 boys x 4 % = 52% chance for a boy to be picked.
what would x be in x-3.4=17.1
Answer:
X = 20.5
Step-by-step explanation:
Move 3.4 to the other side, then solve for x.
x - 3.4 = 17.1
x = 17.1 + 3.4
x = 20.5
begin by dividing 2/3 by 4 then add 1/4 to result multiply that result by 72 divide that result by 1/6
Josie put speed on a string in a repeating pattern the rule is blue green yellow orange where are 88 beads on a string how many times did Josie repeat her pattern
Answer:
22 times
Step-by-step explanation:
Since there are four colors that cycle in each pattern stage (blue green yellow orange) and there are 88 beads, there would be 22 repetitions of the pattern since 88/4 = 22.
What is the expression for f(x)f(x)f, left parenthesis, x, right parenthesis when we rewrite \left(\dfrac{1}{49}\right) ^{x}\cdot \left(\dfrac{1}{7}\right)^{6x 11}( 49 1 ) x ⋅( 7 1 ) 6x 11 left parenthesis, start fraction, 1, divided by, 49, end fraction, right parenthesis, start superscript, x, end superscript, dot, left parenthesis, start fraction, 1, divided by, 7, end fraction, right parenthesis, start superscript, 6, x, plus, 11, end superscript as \left(\dfrac{1}{7}\right)^{f(x)}( 7 1 ) f(x) left parenthesis, start fraction, 1, divided by, 7, end fraction, right parenthesis, start superscript, f, left parenthesis, x, right parenthesis, end superscript ? f(x)=
The expression for f(x) using exponent properties is 8x+11.
Let's first simplify the following statement in order to determine f(x):
[tex]\[\left(\frac{1}{49}\right)^x \cdot \left(\frac{1}{7}\right)^{6x + 11}\][/tex]
Rewrite now with [tex]\(\left(\frac{1}{49}\right)^x\)[/tex] and [tex]\(\left(\frac{1}{7}\right)^{6x + 11}\)[/tex] as a single term's powers:
[tex]\[\left(\frac{1}{7^2}\right)^x \cdot \left(\frac{1}{7}\right)^{6x + 11} \][/tex]
Now, using the rule for exponents [tex](a^{(m*n)} = (a^m)^n)[/tex],
Combine the following words using the same base (1/7 in this case):
[tex]\[ \left(\frac{1}{7}\right)^{2x} \cdot \left(\frac{1}{7}\right)^{6x + 11} \][/tex]
Add their exponents to multiply phrases with the same base:
[tex]\[ \left(\frac{1}{7}\right)^{2x + (6x + 11)} \][/tex]
[tex]\[ \left(\frac{1}{7}\right)^{(8x + 11)} \][/tex]
Now, the given expression becomes:
[tex]\[ \left(\frac{1}{7}\right)^{(8x + 11)} \][/tex]
Now, compare [tex]\(\left(\frac{1}{7}\right)^{f(x)}\)[/tex],and [tex]\(f(x) = 8x + 11\)[/tex] gives f(x) = 8x+ 11.
So, the expression for f(x) is: [tex]\[ f(x) = 8x + 11 \][/tex].
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The question attached here is in appropriate form the appropriate form is
Find the expression for f(x) when rewriting the following expression in the form [tex]\(\left(\dfrac{1}{7}\right)^{f(x)}(7^1) ^{\dfrac{1}{49}^x \cdot \dfrac{1}{7}^{6x+11}}\):[/tex]
[tex]\(\left(\frac{1}{49}\right)^x \cdot \left(\frac{1}{7}\right)^{6x + 11}\)[/tex]
A gardener uses a tray of 6 conical pots to plant seeds. Each conical pot has a radius of 3 centimeters and a depth of 8 centimeters. About how many cubic centimeters of soil are needed to plant the full tray
The volume of a cone is one-third of the product of the area of the base times the height, i.e. Now multiply that by the number of cones: 6 * 75.40 cm^3 = 452.40 cm^3.
What is Volume of a Cone?The volume of a cone is one-third of the product of the area of the base times the height, i.e.(1/3)π(r^2)*h = (1/3)π(3cm)^2 *(8cm) = 75.40 cm^3Now multiply that by the number of cones: 6 * 75.40 cm^3 = 452.40 cm^3.Then the answer is 452 cm^3The total surface area of a cone is the sum area of its circular base and the curved surface. The curved surface area of a cone is given by the formula: Total surface area = Area of Curved Surface + Area of Circular Base. TSA = π ✕ r ✕ l + π ✕ r² or, TSA= π ✕ r ✕ (l + r) square unitsThe formula for the volume of a cone is ⅓ r2h cubic units, where r is the radius of the circular base and h is the height of the conTo learn more about Volume of a Cone refers to:
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Kiran reads 5 pages in 20 minutes. He spends the same amount of time per page. how long will it take him to read 11 pages? helpppp its a table too. time in minutes 20. the number of pages:5 1 11.
Answer:
44 minutes
Step-by-step explanation:
Kiran reads 5 pages in 20 minutes, if we divide we will know that he reads 1 page in 4 minutes.
Multiply 4 by 11 to find out how long it will take him to read 11 pages.
11 times 4 = 44
It will take Kiran 44 minutes to read 11 pages.
Find the distance between the points (-2,-5) and (3, 2) on the coordinate plane.
Answer:
The distance is 8.6
Step-by-step explanation:
^^^
His coordinate grid shows where Alberto's school is located. Each unit represents one block. Alberto's house is at (3, 4). The library is located at the reflection of (3, 4) across the y-axis. Use absolute value to find the distances from Alberto's house to the school and from Alberto's house to the library
The distance from Alberto's house to the school is 4 units and from Alberto's house to the library is 6 units
Consider the following diagram.
From given coordinate grid we can observe that Alberto's school is located at point (-1, 4)
Alberto's house is at (3, 4).
And the library is located at the reflection of (3, 4) across the y-axis.
This means, the libarary is located at point (-3, 4)
We know that the absolute value is nothing but the distance between a number and zero on a number line.
The distance from Alberto's house to the school would be,
= distance between points (3, 4) and (-1, 4)
= |3 - (-1)|
= |3 + 1|
= |4|
= 4 units
And the distance between Alberto's house to the library would be,
= distance between points (3, 4) and (-3, 4)
= |3 - (-3)|
= |3 + 3|
= |6|
= 6 units
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The complete question is:
This coordinate grid shows where Alberto’s school is located. Each unit represents one block. Alberto's house is at (3, 4). The library is located at the reflection of (3, 4) across the y-axis. What are the coordinates of the library?
What does FG mean in functions?
FG stands for Function Generator, which is a device that produces electrical signals with a function of frequencies and amplitudes. It is commonly used in scientific laboratories to generate signals for testing and research purposes.
A function generator is an electrical device used to generate electrical signals with a range of frequencies and amplitudes. It is commonly used in scientific laboratories to generate test signals for testing and research purposes. Function generators typically consist of an oscillator, amplifier, and waveform selector. The oscillator generates a signal of a given frequency and amplitude, while the amplifier adjusts the output voltage. The waveform selector allows the user to choose from a variety of waveforms, such as sine, square, triangle, and sawtooth. Function generators can be used to simulate various types of electrical signals, such as AC and DC signals, as well as a variety of noise signals. They are also used to test various types of electronic components, such as transistors and capacitors, and to conduct research in fields such as telecommunications and signal processing. The acronym FG stands for Function Generator.
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Benson is shopping for shampoo. His favorite brand comes in 5 different sizes which size is the best deal
Probability samples are advantageous to the researcher because: A. they are perfectly representative of the population from which they are drawn. B. the method by which they are selected limits conscious and unconscious sampling bias. C. the method by which they are selected limits conscious and unconscious bias and the accuracy/representativeness of the sample can be estimated. D. they allow the researcher maximum exibility in the creation of samples. E. the accuracy/representativeness of the sample can be estimated.
Answer:
C. the method by which they are selected limits conscious and unconscious bias and the accuracy/representativeness of the sample can be estimated.
Step-by-step explanation:
The probability sampling technique allows for each element in the sample to be representative of the population data from which the samples are drawn. This sort of sampling technique helps to randomize and eliminate errors which might creep into measurement. Since the researcher has the knowledge of the population data or distribution, he takes advantage of these in the allocation of samples using the probabilities of each Sample.
Find A. Round to the nearest tenth.
Answer:
27.8 degrees
Step-by-step explanation:
Wasn't it 'a,' not 'A,' that you wanted?
The ratio a/ 30 is the cosine of the angle 22 degrees, which in turn is 0.927:
a
Then 0.927 = ------- which yields a = 30(0.927) = 27.8 degrees
30
Question 2 (4 points)
Faith is a 95% free throw shooter. At practice, each player shoots 20 free throws. Let X = the number of free throws Faith makes out of 20
shots. (a) Explain why X is a binomial random variable.
(b) Calculate the mean of X.
(c) Calculate the standard deviation of X.
(d) Use the binomial probability formula to find P(X = 19). Interpret this value in context.
(e) Her coach says that he will let the team out of practice early if Faith makes 18 or more free throws. What is the probability that practice ends
early? Show your work
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Record Answer
Answer:
43
Step-by-step explanation:
b) The mean is 19.
c) The standard deviation is 0.974.
d) The binomial probability is 20.
What is Standard Deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given:
n = 20, p = 0.95, q = 1 - 0.95 = 0.05
a) There are only two results per shot and they are independent of each other. Each pitch is independent of the outcome of the other pitches.
b) To calculate the mean of X.
{ E(x) = np }
So, E(x) = 95% of 20
= 19
c) The Standard Deviation is √npq
= √95/10
= 0.974
d) The binomial probability
p(x = 19) = 20! / 19!(20-19)!
=20 / 1
20
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