The approximate distance from the sun to Earth is miles greater than the approximate distance from Earth to the moon by 9.276 × 10^7.
What is the scientific notation?Scientific notation is a method of displaying very large or very small numbers in a more simplified format. We know that entire numbers can be extended indefinitely, but such large numbers cannot be written on a piece of paper. Furthermore, the numbers in the millions place after the decimal required to be represented in a simpler format.
In this case, the approximate distance from Earth to the moon is 240 thousand miles. This will be 2.4 × 10^5
The approximate distance from Earth to the sun is 93 million miles. This will be:
= 9.3 × 10^7
The difference will be:
= (9.3 × 10^7) - (2.4 × 10^5)
= 9.276 × 10^7
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find the probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the indian city palasa kasibugga. express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
The probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the Indian city Palasa Kasibugga is 11/15.
According to the question,
We have the following information:
Words are:
Palasa Kasibugga
Now, total number of letters = 15
Number of a in these words = 4
Number of letters other than a = 11
We know that the following formula is used to find the probability of an event:
Probability = Number of favorable outcomes/total number of outcomes
Probability = 11/15
Hence, the probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the Indian city Palasa Kasibugga is 11/15.
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A 2. 8 kg rectangular air mattress is 2. 00 m long, 0. 500 m wide, and 0. 100 m thick. What mass can it support in water before sinking?.
The mass that can rectangular air mattress can support in water before sinking is 97.2 kg
Consider the rectangular air mattress
The length = 2 meter
The width = 0.500 meter
The thickness = 0.100 meters
The volume = Length × width × thickness
The volume = 2 × 0.500 × 0.100
= 0.1 cubic meters
We know,
Total weight = Volume × Density × g
The density of water = 1000 kg/ meter square
Total mass = 0.1 × 1000 × 9.81
= 981 N
The the equation of mass will be
(2.8 + m) × 9.81 = 981
2.8 + m = 100
m = 100 - 2.8
m = 97.2 kg
Therefore, it will support 97.2 kg water before sinking
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One column of numbers consists of 33, 58, and 17. When the digits of the numbers are added together, the result is 3 + 3 + 5 + 8 + 1 + 7 = 27, and when the digits of 27 are then added together, the end result is 2 + 7 = 9. If the same process is performed on the numbers in a second column, what can be concluded?.
If the final result of the second column is not 9, then the sum of the numbers in the first column is not equal to the sum of the numbers in the second column.
One column of numbers consists of 33, 58, and 17. When the digits of the numbers are added together, the result is 3 + 3 + 5 + 8 + 1 + 7 = 27, and when the digits of 27 are then added together, the end result is 2 + 7 = 9.
If the final result of the second column was not nine, the numbers in the first column would not be the same as those in the second column, because the second column comes from the sum of the digits of the first column.
Therefore, If the final result of the second column is not 9, then the sum of the numbers in the first column is not equal to the sum of the numbers in the second column.
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every rational number has a decimal expansion, so we could apply this same argument to show that the set of rational numbers between 0 and 1 is uncountable. however, because we know that any subset of q must be countable, the proof of theorem 1.6.1 must be flawed.
Every rational number can be expressed in decimal form. This argument cannot be used to demonstrate that rational numbers between 0 and 1 are countable. We frequently use this fact to demonstrate that rationals are countable since every rational number has a decimal representation that terminates on a non-teminating repeating sequence.
Rational number:
P/Q is the format for rational numbers, where p and q are open-ended integers and q 0. Thus, natural numbers, whole numbers, integers, fractions of integers, and decimals are all examples of rational numbers (terminating decimals and recurring decimals). The word "ratio" is where the word "rational" first appeared. Rational numbers are therefore closely tied to the idea of fractions, which stand for ratios. In other terms, a number is a rational number if it can be written as a fraction in which the numerator and denominator are both integers.
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Find the absolute extrema for the given function on the interval [15.6, 19.2). Write your answer in the form (x.f(x)). Round your answers to two decimal places. f(x) = In (12x^2 - 11x + 2)
Absolute Minimum: Absolute Maximum
the absolute extrema of the linear equation f(x) = 12x^2 -11x +2 are 27 (absolute maximum) for x = - 8 and - 9 (absolute minimum) for x = 4. (- 8, 27) and (4, - 9).
What are the absolute extrema of a linear equation within a closed interval?
According to the functions theory, linear equations have no absolute extrema for all real numbers, but things are different for any closed interval as absolute extrema are the ends of linear function. Now we proceed to evaluate the function at each point:
Absolute maximum
f(- 8) = 12x^2 -11x +2
f(- 8) = 27
Absolute minimum
f(4) = - 3 · 4 + 3
f(4) = - 9
By means of functions theory and the characteristics of linear equations, the absolute extrema of the linear equation f(x) = 12x^2 -11x+2 are 27 (absolute maximum) for x = - 8 and - 9 (absolute minimum) for x = 4. (- 8, 27) and (4, - 9).
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a rectangular tank that is 5234 ft^3 with a square base and open top is to be constructed of sheet steel of a given thickness. find the dimensions of the tank with minimum weight.
As per the volume of the rectangular tank, the dimensions are 13.78 x 379.82 x 13.78
Volume of rectangle:
The general formula to calculate the volume of the rectangle is
V = length x width x height.
Given,
A rectangular tank that is 5234 ft^3 with a square base and open top is to be constructed of sheet steel of a given thickness.
Here we need to find the dimensions of the rectangular tank,
As per the given volume of rectangular tank, when we equate this with the formula, then we get,
=> 5234 = length x width x height.
Let us consider the length and the width are equal then we get the value of height as.
=> height = 5234/length
So, the value is calculated by using the surface area formula,
=> A = length² + 5234/length
When we differentiate the surface area with respect to
=> dA/dl = 2l - 5234/l²
To minimize the surface area, so dA/dl = 0,
=> 2l = 5324/l²
=> 2l³ = 5234
=> l³ = 2617
=> l = ∛2617
Therefore, the value of length is 13.78
Then the height is calculated as.
=> h = 5234/13.78 = 379.82
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Butterfly is 3 times Blossom's age. In 5 years, Butterfly will be 2 times Blossom's age. How old is Blossom now?
9. You Be the Teacher Is your cousin
correct? Explain.
4
MTR
14
X 0.82
28
+ 1120
1148
O A circle has a diameter of 8 meters. Find the approximate area of the circle. Use 3.14 for pi.
Answer:
The approximate area of the circle is:
50.24m²
Step-by-step explanation:
Circle area = 3.14 * (diameter/2)²
In this case:
Circle area = 3.14 * (8/2)²
Circle area = 3.14 * 4²
Circle area = 3.14 * 16
Circle area = 50.24 meters²
bag contains 9 real diamonds and 5 fake diamonds. if 9 diamonds are picked from the bag at random, what is the probability that all of them are real?
The probability that all of them are real is 0.01875 or 1.875%
If the diamonds are replaced after each draw:
The probability of drawing a real diamond is 9/14, found by making the numerator the number of real diamonds and adding the total number of diamonds to find the denominator. 5+9 = 14.
To find the probability of all 9 diamonds drawn being real, multiply 9/14 by itself 9 times. = 387420489/ 20661046784. This creates a probability of 387420489/ 20661046784. This cannot be reduced because there is no common factor. To express as a decimal, divide. 387420489/ 20661046784 = 0.01875. To turn this into a percent, multiply by 100. 0.01875*100 = 1.875
Hence, the probability that all of them are real is 0.01875 or 1.875%
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if a situation is repeated again and again, the observed proportion of successful outcomes will tend to approach the theoretical probability that any one of the outcomes will be a success
The outcome of this question is determined by the number of alternative possibilities and their probability.
If there are only two conceivable outcomes, one of which is success and one of which is a failure, the theoretical chance of success is 50%. The theoretical probability of success is the sum of the probabilities of the two successful outcomes if there are three alternative outcomes.
If you know anything about probability, you're undoubtedly aware that the theoretical likelihood of any given result occurring in a given circumstance is always the same. Finally, the theoretical likelihood that any of the outcomes will be successful if a circumstance is repeated is the sum of the probabilities of each successful outcome divided by the entire number of alternatives.
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The correct question is-
What is the theoretical probability that any one of the outcomes will be a success if a situation is repeated again and again?
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The effectiveness of a blood-pressure drug is being investigated.
An experimenter finds that, on average, the reduction in systolic blood pressure is 55.8 for a sample of size 29 and a standard deviation 7.9.
Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 90% confidence level).
Assume the data is from a normally distributed population.
Answer as a tri-linear inequality accurate to 3 decimal places.
A tri-linear inequality for the estimate of the drug that would lower a typical patient's systolic blood pressure (using a 90% confidence level) is; 53.3 ≤ x-bar ≤ 58.3.
Explain the term tri-linear inequality?Equal does not imply inequality. Tri signifies three. The range is defined in terms of inequalities by the tri-linear inequality.For the stated question-
Average of reduction in systolic blood pressure μ = 55.8.
Standard deviation s = 7.9.
Sample of size n = 29
The confidence interval is estimated as-
μ - t₀.₀₅(s/√n) ≤ x-bar ≤ μ + t₀.₀₅(s/√n)
Put the values-
55.8 - t₀.₀₅(7.9/√29) ≤ x-bar ≤ 55.8 + t₀.₀₅(7.9/√29)
On simplifying,
53.3 ≤ x-bar ≤ 58.3
Thus, a tri-linear inequality for the estimate of the drug that would lower a typical patient's systolic blood pressure (using a 90% confidence level) is; 53.3 ≤ x-bar ≤ 58.3.
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What is 3 divided by 80?
Answer: 3/80 = 0.0375
If Amy is tardy, then she will get a detention
Consider the INVERSE of this statement. What is the TRUTH VALUE of the INVERSE?
PLEASE THIS IS DUE IN 2 MINUTES
Answer:
Step-by-step explanation:
o
2
52
3
5
4
47°
W
m/1 =
m/2 =
m/3=
m/4=
m25 =
Answer:55.9074
Step-by-step explanation:
two half-cylinders of diameter 2 meet at a right angle in the accompanying figure. find the volume of the solid region common to both half-cylinders. (hint: consider slices parallel to the base of the solid.)
The volume of the solid region common to both cylinder is 8/3 when two half-cylinders of diameter 2 come together at a right angle.
Given that,
In the following figure, two half-cylinders of diameter 2 come together at a right angle.
We have to determine the solid region's common volume for the two half-cylinders. (Hint: Take into account slices that are parallel to the solid's base.)
We know that,
Using the Pythagoras theorem,
S²+x²=r²
Diameter=2
2r=2
r=1
S²+x²=1
S²=1-x²
S=√(1-x²)
[tex]\int\limits^1_0 {Area(x)} \, dx[/tex]
4[tex]\int\limits^1_0 {1-x^{2} } \, dx[/tex]
4(x-x³/3)₀¹
4(1-1/3)
4(2/3)
8/3
Therefore, The volume of the solid region common to both cylinder is 8/3 when two half-cylinders of diameter 2 come together at a right angle.
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Suzy is competing in a long-distance au
bicycle race. In the first 6 hours, she completed 132 miles of the race. If she
plans to ride 7 hours per day, how many
days will it take for her to complete the
616-mile race at the same rate?
A 2
B 4
C 6
D 8
the minute hand of a clock is 6 inches long. how far does the tip of the minute hand move in 15 mintue?
The length of the minute hand is stated as r=6 inches. We are aware that the minute hand will create a 90° angle in 15 minutes. The measurement is 9.4248 inches as a result.
What is an angle?
An angle is a shape made up of two rays that share an endpoint and is known as the vertex of the angle. These rays are known as the sides of the angle. The plane that contains the rays contains the angles created by two rays. The meeting of two planes can also result in an angle. They are referred to as dihedral angles.
The orientation of a line with another line or plane is represented by its angular position. How far the body has been rotated from the reference position is used to measure angular position.
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type the correct answer in each box. use numerals instead of words. the zeros of the function f(x)=-(x+1)(x−3)(x+2) are -1, 3, and , and the y-intercept of the function is located at (0,).
zeros of function f(x)=-(x+1)(x−3)(x+2) are -1, 3, and -2 and it is located at ( 0, -1) , ( 0, 3) and ( 0, -2)
The zeros of a polynomial f(x) are the values of x which satisfy the equation f(x) = 0. Here f(x) is a function of x, and the zeros of the polynomial are the values of x for which the f(x) value is equal to zero. The number of zeros of a polynomial depends on the degree of the equation f(x) = 0.
according to the question
f(x)=-(x+1)(x−3)(x+2) are -1, 3, and -2
and it is located at
( 0, -1)
( 0, 3)
and ( 0, -2)
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the length of a model ship is 8 in its actual length is 100 ft what is the scale of the model
The scale of the model when the length of a model ship is 8 in its actual length is 100 ft is 1:150.
What is a scale?The term scale is used in mathematics to represent the relationship between a measurement on a model and the corresponding measurement on the actual object. Maps and blueprints would be useless without scales. A scale factor is defined as the ratio of the scale of a given original object to the scale of a new object that is its representation but of a different size.
From the information, the length of a model ship is 8 in its actual length is 100 ft
It should be noted that;
1 foot = 12 inches
Therefore, 100 feet will be:
= 100 × 12
= 1200 inches
Therefore, the scale will be:
= 8/1200
= 1/150
= 1:150
The scale is 1:150.
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Ben plays $119.00 to get his dog Sookie groomed if the sales taxes rate is 8.25% calculate the total cost Ben will pay
Total cost ben would pay for the dog will be $128.8175.
What is Percentage ?The proportion of value in relation to the original value is measured using the percentage concept. In business, percentages are frequently employed to calculate a company's profit or loss percentage. Additionally, it is used in schools and colleges to show the grades that pupils have earned. A percentage formula can be used to assess the pupils' grades. In general, the definition of a percentage is any ratio of a value to the total value multiplied by 100. The percentage is denoted by the sign %.
Ben paid for dog = $119.00
Grooming to be done = 8.25% of $119.00
Total cost of grooming = $9.8175
Total cost after grooming for dog = $119.00 + $9.8175
= 128.8175 is the actual cost of dog.
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The mass of a white-tailed deer is about 1.4 times the mass of a cougar. The average mass of a white-tailed deer is 98 kg. Calculate the mass of a cougar. Start with an equation that includes a variable. show all work
Cuál es la suma de 10 y -3
Answer: -6
Step-by-step explanation:
You're welcome I'm not sure if it corrects correct, but this is my answer
A health researcher conducted a survey and recorded the percentage of body fat of 20 randomly selected men from two different towns. Ten of the men surveyed were from Pythagoria and 10 of the men were from Bernoullia. The following statistical information was calculated from the researcher's findings.
Pythagoria Bernoullia
First Quartile 12 15
Second Quartile (Median) 16 19.5
Third Quartile 19 25
Based on these samples, what generalization can be made?
A.
Not enough information is provided to draw any of these conclusions.
B.
Pythagoria has men with higher body fat percentages than Bernoullia.
C.
The interquartile range of body fat percentages for Pythagoria is less than Bernoullia.
D.
At least half of the men from both towns have between 10 and 20 percent body fat.
Answer:
Step-by-step explanation:
C.
kyra's math instructor told the class to refer to the unit conversion charts in the textbook when completing the homework assignment. however, she discovered that these charts weren't in the assigned chapter. where will kyra most likely find the unit conversion charts in her math textbook?
Kylie will most likely find the unit conversion charts in the appendix of her math textbook.
The correct answer option is option C
What is an appendix?An appendix can be defined as a text that is added to the end of a book or an article which provides additional information that was best left as an addition or complement at the end rather than being included somewhere in the book or article, that is, appendix is an information supplementing the texts. The plural form of appendix is appendicitis.
Foreword: This is an introductory section preceding the main text of a book or other document, also known as a preface or introduction.
Introduction: An initial section of a book or article, which introduces the subject material.
Glossary: This is a list of terms in a particular domain of knowledge with their definitions.
Complete question:
Kylie's math instructor told the class to refer to the unit conversion charts in the textbook when completing the homework assignment. However, she discovered that these charts weren't in the assigned chapter. Where will Kylie MOST likely find the unit conversion charts in her math textbook?
A. Foreword
B. Introduction
C. Appendix
D. Glossary
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let ϕ : g → h be a homomorphism. (a) show that if h is abelian and ϕ is one-to-one, then g is abelian. (b) show that if g is abelian and ϕ is onto, then h is abelian. (c) if ϕ is an isomorphism, show that g is abelian if and only if h is.
When Ф(b)Ф(a) = Ф(ba) , then Ф is an isomorphism G is abelian
Let ϕ:G→H be an isomorphism.
If G is abelian, we have xy = yx , for any x,y ∈ G. Consider any two element in H , say c and d . Since Ф is an isomorphism , we have c = Ф(a) and d = Ф(b) for some a,b ∈ G . Hence,
cd = Ф(a)Ф(b) = (ab) =Ф(ba)
=Ф(b)Ф(a) = dc
This means H is an isomorphism.
If H is abelian, we have xy = yx, for any x,y ∈ H. Now consider two elements in G , say a and b .Since Ф is mapping , we have c = Ф (a) and d = Ф(b) for some c,d ∈ H. Hence ,
Ф(ab) = Ф(a)Ф(b) = cd = dc
= Ф(b)Ф(a) = Ф(ba)
Since, is an isomorphism , we have ab = ba ,
This means G is also abelian
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a regression was run to determine if there is a relationship between hours of tv watched per day (x) and number of situps a person can do (y). the results of the regression were:
The estimated number of situps is 31.486.
What is equation straight line?
Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.
Given that a= -1.24 and b=33.966, the regression equation is y= axe + b y= -1.24x + 33.966.
Here, "y" stands for the maximum number of situps an individual may perform, and "x" stands for the daily television viewing hours.
The estimated number of situps for a person who watches x=2 hours of TV is y=-1.24*2 + 33.966 y= -2.48 + 33.966 y= 31.486
Hence, The estimated number of situps is 31.486.
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What is the value of this expression when a = 4, b = -5, and c = -7?
(a + 26c)/(За)
HELPPPP PLEASE
the answer is C 6 1/6
Another karaoke location, Sounds of the Sea, is charging $15 for 5 songs. Construct a graph to model the relationship between cost and number of songs.
The function that represent the proportional relationship between cost and number of songs is y = 3x and it's graph is attached below
Linear FunctionA linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.
A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. Here,
'm' is the slope of the line'b' is the y-intercept of the line'x' is the independent variable'y' (or f(x)) is the dependent variableTo find the relationship between cost and number of songs, we can write a proportional relationship for this
y = mx
m = constant of proportionality
15 = m(5)
m = 15 / 5
m = 3
The constant of proportionality is 3
The function to represent the relationship between the cost and number of songs is
y = 3x
The graph of the function is attached below
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is the area of a circle directly proportional to the square of the radius. a circle with a radius of 10 has an area of 314. what will the are be on a circle of radius 4
The area of a circle with radius 4 is 50.24.
Writing the equation form for area and radius of two circles -
(Area/radius²) for circle 1 = (Area/radius²) for circle 2
Keep the values in the relation to find the area of small circle.
314/10² = Area/4²
Area = (314 × 16)/100
Performing multiplication on Right Hand Side of the equation to find the area of circle
Area = 5024/100
Performing division on Right Hand Side of the equation to find the area of circle
Area = 50.24
Hence, we see the decrease in area based on decrease in radius. Thus, the area of circle is 50.24.
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