The cost of the book after the discount and coupon is $7.32
How to determine the cost of the book?From the question, we have the following parameters that can be used in our computation:
Amount = $15.40
Coupon = $5 offer
Discount = 20% off
This means that
Total amount = Amount * (1 - Discount) - Coupon
So, we have
Total amount = 15.40 * (1 - 20%) - 5
Evaluate
Total amount = 7.32
Hence, the total amount = 7.32
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Rewrite 4/6 : 1/3 as a unit rate
A. 2:1
B. 2:9
C. 12:9
D. 12:6
Answer: 2/1 should be your answer
Step-by-step explanation:
4 x 3= 12/6
1 x 3= 3/3
12 divided by 2 = 2 3 divided 3= 1
2/1
Camden found a bike on sale for $121. The sale was 45% off. How much money did Camden save on the bike because of the sale?
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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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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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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9. a baseball team has a total of 18 pitchers. the ratio of right-hand pitcher to total number of pitchers is 5:6. how many left-hand pitchers does the team have?
The number of Left Hand pitchers that the team have is 3 .
In the question ,
it is given that ,
the total number of pitchers in the baseball team is = 18
and the ratio of right hand to total pitchers is = 5 : 6
we have to find the number of left hand pitchers that the base ball team have .
From the ratio, the total number of pitchers is = 6x ,
and number of right hand pitchers = 5x ,
So , the number of left hand pitchers = x ,
that means , 6x = 18
Simplifying further ,
we get ,
x = 3,
Therefore , there are 3 left hand pitchers .
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what are the degrees of freedom used to test the significance of the slope in a simple linear regression equation? multiple choice n − 1 n − 2 n − 1, n − 2 (n − 1)(n − 2)
The degrees of freedom used to test the significance of the slope in a simple linear regression equation is n-2.
The maximum number of logically independent, or potentially different, values in the sample of data is referred to as the degree of freedom.
The degree of freedom is a fundamental concept that can be found throughout statistics in a variety of contexts, such as with hypothesis tests, probability distributions, and linear regression.
The degrees of freedom are n−k, however, in simple linear regression you estimate both a y-intercept and a slope, so k=2. Even though we generally don't worry about testing the intercept, it still uses up a degree of freedom, the slope would be very different and have a very different interpretation if we did not estimate an intercept along with the slope.
When we put the value of k=2 we get degrees of freedom are n-2.
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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 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
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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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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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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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
2. Theodore is writing the program for a video game. For one part of the game, he uses the rule (x, y) à (x + 4, y – 2) to move points on the screen. (a) What output does the rule give when the input is (7, -7)? Show your work. (b) What output does the rule give when the input is (-2, 0)? Show your work. (c) Is the rule a function? Explain why it is or why it is not.
Answer:
Step-by-step explanation:
What is 3 divided by 80?
Answer: 3/80 = 0.0375
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.
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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2
52
3
5
4
47°
W
m/1 =
m/2 =
m/3=
m/4=
m25 =
Answer:55.9074
Step-by-step explanation:
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 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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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
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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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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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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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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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
Butterfly is 3 times Blossom's age. In 5 years, Butterfly will be 2 times Blossom's age. How old is Blossom now?
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 scale drawing of an office space uses a scale of 1 in. : 6 yd. the scale drawing has an area of 6 square inches. what is the area of the actual office space?
The area of the actual office space is 36 yards if the scale is 1:6 yards.
An item is enlarged in a scale drawing. An expansion increases or decreases the size of an item by multiplying each of its lengths by a scale factor. A scale of 1:5, for instance, indicates that the size of 1 unit in the picture corresponds to the size of 5 units in the actual world.
The scale of office space is 1:6 yards. The scale drawing has an area of 6 square inches. This means that 1 scale represents 6 square inches of office. For the actual area multiply 6 by the area of the scale drawing which will give 36 yards.
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