Answers
The bias of the estimator is 1/45, so correct option is A.
Describe Proportion?In mathematics, a proportion is a statement that two ratios are equal. A ratio is a comparison of two quantities, expressed as a fraction or a division of one quantity by another.
For example, the proportion "a/b = c/d" means that the ratio of a to b is equal to the ratio of c to d. This can also be written as "a : b = c : d", where the colon (:) represents the ratio symbol.
Proportions can be used to solve a variety of problems, such as finding unknown quantities in a ratio or comparing quantities that have different units. For instance, if a recipe calls for 2 cups of flour for every 3 cups of water, we can use proportions to determine how much flour and water we need if we want to make a larger or smaller batch.
The estimator for the true proportion of residents in support of the bypass road construction is given by:
p = (X + √2025/2) / 2025
We can see that this estimator involves adding √2025/2 to X, and then dividing the sum by 2025. Since √2025 = 45, we can simplify the estimator as:
p = (X + 45/2) / 2025
Now, we can find the expected value of the estimator:
E[p] = E[(X + 45/2) / 2025]
= (E[X] + 45/2) / 2025
To find the bias of the estimator, we need to compare its expected value to the true value of the parameter being estimated. Since we are estimating the proportion of residents in support of the bypass road construction, the true value of the parameter is the population proportion, denoted by p.
If the estimator is unbiased, then its expected value must equal the true value of the parameter, i.e., E[p] = p. Therefore, we have:
E[p] = (E[X] + 45/2) / 2025 = p
Solving for E[X], we get:
E[X] = 2025p - 45/2
Thus, the bias of the estimator is:
Bias[p] = E[p] - p
= (E[X] + 45/2) / 2025 - p
= [(2025p - 45/2) + 45/2] / 2025 - p
= (2025p - p) / 2025
= 44/2 x 2025
= 1/45
Therefore, the bias of the estimator is 1/45. Answer: A.
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The bias of the estimator is 1/45. The appropriate choise for the posed query is option (a).
What is proportion?In mathematics, a proportion is the assertion that both ratios are equal. A ratio is the division of one quantity by another or the comparison of two quantities given as a fraction.
The ratio "a/b = c/d," for instance, denotes that the ratio of a to b is equivalent to the ratio of c to d. This can also be expressed as "a: b = c: d," where the ratio sign is denoted by the colon (:).
Numerous issues can be resolved using proportions, like comparing amounts with various units or locating unknown values in a ratio. For instance, we may use proportions to calculate the amount of flour and water needed to make a larger or smaller batch of a recipe if it calls for 2 cups of flour and 3 cups of water.
The estimator for the actual percentage of residents in favour of building the bypass route is provided by:
p = (X + √2025/2) / 2025
As we can see, this estimator multiplies X by 2025/2 before dividing the result by 2025.
Since √2025 = 45, The estimator may be distilled down to:
p = (X + 45/2) / 2025
We can now determine the estimator's expected value:
E[p] = E[(X + 45/2) / 2025]
= (E[X] + 45/2) / 2025
We must contrast the estimator's expected value with the actual value of the parameter being estimated in order to determine its bias. The population proportion, given by p, is the genuine value of the parameter because we are calculating the percentage of residents who support the construction of the bypass route.
If the estimator is impartial, then its predicted value must match the parameter's true value, or E[p] = p. As a result, we have:
E[p] = (E[X] + 45/2) / 2025 = p
Solving for E[X], we get:
E[X] = 2025p - 45/2
As a result, the estimator's bias is:
Bias[p] = E[p] - p
= (E[X] + 45/2) / 2025 - p
= [(2025p - 45/2) + 45/2] / 2025 - p
= (2025p - p) / 2025
= 44/2 x 2025
= 1/45
As a result, the estimator's bias is 1/45. Answer: A.
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Related Questions
Weekly wages at a certain factory are
normally distributed with a mean of $400 and
a standard deviation of $50. Find the
probability that a worker selected at random
makes between $450 and $550.
250
350 400 450 500 550
P = [? ]%
Hint: use the 68- 95 - 99.7 rule.
300
Answers
There is a 15.74% chance that a randomly chosen employee will earn between $450 and $550.
Define probabilityThe study of random occurrences or phenomena falls under the umbrella of the mathematic discipline known as probability. It is the measure of the likelihood or chance that an event will occur, expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
To find : the probability that a worker selected at random makes between $450 and $550
z = (x - μ) / б
where б is the standard deviation, μ is the mean, and x is the value we wish to normalize.
For $450, we have:
z₁ = (450 - 400) / 50 = 1
For $550, we have:
z₂ = (550 - 400) / 50 = 3
We can then use a standard normal distribution table or calculator to find the area under the standard normal curve between z₁and z₂:
P(z₁< z < z₂) = P(1 < z < 3) = 0.1574
This means that the probability that a worker selected at random makes between $450 and $550 is 15.74%.
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cost of jacket: $249.96 markup: 80% discount: 50% tax: 2%
Answers
Answer:249.98
Step-by-step explanation: i had a question like this before.
A number written without a sign is a _______ number.
Answers
Answer:
Positive
Step-by-step explanation:
It's a positive number
If it doesn't have a (-) it's a positive number
helo please show work
Answers
Answer:
Step-by-step explanation:
Solution:
We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).
The GCF of 305 and 60 is 5.
Divide both terms by 5.
305 ÷ 5 = 61
60 ÷ 5 = 12
Therefore:
305 : 60 = 61 : 12
A rectangular prism has a volume of 840 cubic inches. The height of the prism is 6 inches and the width is 10 inches. Find the length of the prism and explain how you found it. ASAP
Answers
Answer:
14
Step-by-step explanation:
Volume = height x width x length
6 x 10 = 60
480 divided by 60 = 14
Which expression is equivalent to 5(2 + 1)?
Answers
Step-by-step explanation:
5(2 + 1) can be simplified using the distributive property of multiplication over addition, which states that a(b + c) = ab + ac. Using this property, we get:
5(2 + 1) = 5(2) + 5(1)
Simplifying the expression further, we get:
5(2) + 5(1) = 10 + 5 = 15
Therefore, 5(2 + 1) is equivalent to 15.
How to calculate Standard Error of the Y intercept and standard error of the slope, given the table below, without the SE coefficient given.
Answers
Answer:
Step-by-step explanation:
the stabdard error is given with the se coefficient snf the y slope
How many pieces of rope measuring 5/8 of a foot can be cut from a rope of 4 3/8 feet?
Answers
We can cut 6 pieces of rope measuring 5/8 of a foot from a rope of 4 3/8 feet, with some rope left over.
What is area?Area is a measurement of the size of a surface or a region in a two-dimensional space. It is expressed in square units, such as square inches (in²), square meters (m²), or square feet (ft²). To find the area of a shape, you need to multiply its length by its width, or use an appropriate formula depending on the shape. For example, the formula for the area of a rectangle is A = l × w, where A is the area, l is the length, and w is the width.
To find the number of pieces of rope measuring 5/8 of a foot that can be cut from a rope of 4 3/8 feet, we need to divide the length of the rope by the length of each piece of rope:
4 3/8 feet = 4 + 3/8 feet = 4 feet + (3/8) x 12 inches = 4 feet + 3 inches = 51 inches
Each piece of rope measures 5/8 of a foot, which is equivalent to 5/8 x 12 inches = 7.5 inches.
Now we can divide the length of the rope (in inches) by the length of each piece of rope (in inches) to find the number of pieces:
51 inches ÷ 7.5 inches ≈ 6.8
Therefore, we can cut 6 pieces of rope measuring 5/8 of a foot from a rope of 4 3/8 feet, with some rope left over.
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A gold and diamond bracelet sells for $1200. Find the sales tax and the total price if the sales tax rate is 3.5%.
Answers
Answer:42
Step-by-step explanation:
Saanvi recorded the number of math problems she did for homework each night for 10 days.
`0`, `5`, `5`, `4`, `5`, `10`, `5`, `6`, `50`, `0`
Calculate the mean and MAD of this data.
Answers
Answer:
Saanvi recorded the number of math problems she did for homework each night for 10 days.
Step-by-step explanation:
X A A. B. C. D. B any of the perpendicular bisectors of the sides of the hexagon either diagonal of the square any of the perpendicular bisectors of the sides of the square there are no lines across which this figure can reflect onto itself....*******?Got answer off here and showing wrong ones in pic....thanks!
Answers
In a regular hexagon, where FGHIJK shares a common center with square ABCD on a coordinate plane. ||. It is Across any of the perpendicular bisectors of the sides of the square that the combined figure can reflect onto itself.
What is the explanation for the above response?
In Regular Hexagon FGHIJK, we have 6 lines of reflection across which the hexagon reflects onto itself. Those lines are:
3 perpendicular bisectors of sides i.e. perpendicular bisector of IJ , IH and GH
3 lines passing through vertices i.e. HK, IF and GJ.
While in Square, we have 4 line of reflection across which the square reflects onto itself. Those lines are:
2 perpendicular bisectors of sides AB and BC i.e. HK and perpendicular bisector of CD
2 diagonals of square i.e. AC and BD
Note as well that from figure we know that perpendicular bisector of CD and perpendicular bisector of IJ is the same line.
So, for combined figure we have to take common lines from both figures i.e. perpendicular of sides CD or IJ and line HK.
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Full Question:
Although part of your question is missing, you might be referring to this full question: See the attached image and the questions below.
In a regular hexagon, FGHIJK shares a common center with square ABCD on a coordinate plane. || . Across which lines can the combined figure reflect onto itself?
A. any of the perpendicular bisectors of the sides of the hexagon
B. either diagonal of the square
C. any of the perpendicular bisectors of the sides of the square
D. there are no lines across which this figure can reflect onto itself
Find the measures of angles a and b and of arc c Please
Answers
The measure of arc CD is equal to the measure of angle BCD, which is 240 degrees.
In the given diagram, we can see that angle ACD is a right angle, since it is formed by the radius AC and tangent CD at point C.
Therefore, angle BCD is equal to angle ACD, which is 90 degrees.
Since angle BCD is an exterior angle of triangle BCF, it is equal to the sum of the two remote interior angles, which are angles BFC and FCB.
Angle BFC is equal to angle ABC (since they are opposite angles), which is 60 degrees.
Similarly, angle FCB is equal to angle ACF, which is also 60 degrees.
Therefore, angle BCD is equal to angle BFC + angle FCB, which is 60 + 60 = 120 degrees.
Now, since arc CD is subtended by angle BCD, its measure is also equal to 120 degrees.
Hence, the measure of arc CD is 120 degrees.
Similarly, angles ACF and FCB are opposite angles in the cyclic quadrilateral AFCB, so they are supplementary. Therefore, angle FCB is equal to 180 - angle ACF,
Which is also 180 - 60 = 120 degrees.
Now we can apply the exterior angle theorem to find the measure of angle BCD. We have:
angle BCD = angle BFC + angle FCB
= 120 + 120
= 240 degrees
Finally, we can conclude that the measure of arc CD is equal to the measure of angle BCD, which is 240 degrees.
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aflati doua numere naturale stiind ca suma lor este 102 iar impartind numarul mare la cel mic obtinem catul 2 si restul 12
Answers
x + y = 102 (equation 1)
y = 2x + 12 (equation 2)
Substituting equation 2 into equation 1, we get:
x + (2x + 12) = 102
Simplifying and solving for x, we get:
3x + 12 = 102
3x = 90
x = 30
Substituting x = 30 into equation 2, we get:
y = 2(30) + 12
y = 72
Therefore, the two natural numbers are 30 and 72.
Parvati goes to the movies with $16 in her wallet. She buys
a ticket for $6.25 and two snacks for $2.25 each. How
much money does she have left?
Select the correct expression.
OA. 16-6.25-2-2.25
OB. 16-(6.25 +2.2.25)
O C. 16-2(6.25 +2.25)
OD. 16-6.25 +2.2.25
Answers
Answer:
[tex]16-(6.25+2*2.25)[/tex]
Step-by-step explanation:
To find the amount of money she has left, you want to subtract the price of the ticket and the price of the two snacks from the amount of money she starts with.
So we want to subtract 6.25 once and subtract 2.25 twice (because she bought two snacks) from 16
16-6.25-2*2.25
Or you can also do this by adding up the monetary value of the ticket and the snacks and subtract that from the initial amount of money that Parvati has
16-(6.25+2*2.25)
(I am assuming that the "2.2.25" is supposed to say [tex]2*2.25[/tex])
The vertex of the graph of the equation
y = -x² + 6x + 1 is
A. O neither a maximum nor a minimum
B. O both a maximum and a minimum
C. O a minimum
D. O a maximum
Answers
The vertex is ( 6 , 1 ). The vertex of the graph of the equation maximum.
What is parabola in math?
Each point on a parabola, which has the shape of a U, is situated at an equal distance from the focus, a fixed point, and the directrix, a fixed line. All of the parabola-related ideas are discussed here since it is a crucial component of the conic section subject.
the equation y = -x² + 6x + 1
Use the formula: -b/2a
= -6/-1
= 6
The x-coordinate of the vertex is 6
Plug the x value back into the original equation to find the y-coordinate of the vertex
y = -x² + 6x + 1
= -(6)² + 6 * 6 + 1
= -36 + 36 + 1
= 1
The vertex is = ( 6 , 1 )
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What are the coordinates of the point on the directed line segment from ( − 7 , 3 ) (−7,3) to ( 3 , − 9 ) (3,−9) that partitions the segment into a ratio of 3 to 1?
Answers
The coordinates of the point on the directed line segment are (-6, 0)
Define the term coordinates of the point?Coordinates of a point refer to a set of numbers that represent the location of the point in a particular coordinate system.
To find the coordinates of the point that partitions the line segment from (-7,3) to (3,-9) into a ratio of 3 to 1, we can use the following formula:
P = [tex]( (3/4)*x_1 + (1/4)*x_2 , (3/4)*y_1 + (1/4)*y_2 )[/tex]
where P is the point that partitions the line segment, (x₁, y₁) and (x₂, y₂) are the coordinates of the endpoints of the segment, and the coefficients 3/4 and 1/4 correspond to the ratio in which the segment is divided.
Plugging in the values, we get:
P = ( (3/4)*(-7) + (1/4)*3 , (3/4)3 + (1/4)(-9) )
= (-21/4 - 3/4 , 9/4 - 9/4)
= (-6, 0)
Therefore, the coordinates of the point that partitions the line segment from (-7,3) to (3,-9) into a ratio of 3 to 1 are (-6, 0).
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Ten cards numbered 1 thru 10 are placed in a box. If a card is de random from the box, what is the probability of drawing a prime a 10% b 25% c 40% d 50%
Answers
Answer:
a) There are four prime numbers between 1 and 10: 2, 3, 5, and 7. So the probability of drawing a prime number is 4/10 or 2/5, which is 20% and not 10%. Therefore, option (a) is not correct.
b) As we saw in part (a), the probability of drawing a prime number is 2/5 or 40% (since 2/5 is equivalent to 0.4). Therefore, option (b) is correct.
c) The probability of drawing a prime number is 2/5 or 40%, which is not 25%. Therefore, option (c) is not correct.
d) As we saw in part (a) and (b), the probability of drawing a prime number is 2/5 or 40%, which is not 50%. Therefore, option (d) is not correct.
So, the correct answer is (b) 25%.
Hope This Helps!
Can someone help me with this please!!!
Answers
Using the graph of the picewise function we can see that:
i(-3) = 2i(-4) = 3How to evaluate the piecewise function?Here we have a piecewise function and we want to evaluate it in different values of x.
First we want to get:
i(-3)
Notice that at x = -3 we have a closed circle in the second line, the one constant at y = 2, so we need to use that value here:
i(-3) = 2
The closed dot means that the value belongs to that line, while a open one (like the one that is just above) means that the value does not belong.
For the second evaluation:
i(-4)
This time we just need to look at the line in the left, here we can see that: i(-4) = 3
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Please help, this was due yesterday!!!!!
Answers
Answer:
x =65°( being alternate angel)
PLSSSS HELPPPPPPPOO
Write an expression in standard form that
represents the AREA of the square. A = s²
5y+3
Answers
Answer:
Step-by-step explanation:
The expression in standard form that represents the area of the square with side length s is given by:
A = s^2
However, if you want to substitute the value of s with the expression 5y+3, then the area expression becomes:
A = (5y+3)^2
Expanding the expression, we get:
A = 25y^2 + 30y + 9
Therefore, the expression in standard form that represents the area of the square with side length 5y+3 is 25y^2 + 30y + 9.
The Box Has A Volume Of 845. Find X
Answers
Answer: x=6.5
Step-by-step explanation: 13 x 10=130
845/130= 6.5
13. A bag contains 40 balls, each of which is black or gold. Anele reaches into the bag and randomly removes two balls. Each ball in the bag is equally likely to If the be removed. probability that two gold balls are removed is how 12 many of the 40 balls are gold?
Answers
The number of gold balls in the given bag is determined as 25 gold balls.
How many of the 40 balls are gold?Let's use the formula for calculating probability:
Probability of an event = Number of favorable outcomes / Total number of outcomes
The total number of possible ways to choose 2 balls from a bag of 40 is:
40C2 = (40 x 39) / (2 x 1) = 780
Now we need to find the number of ways to choose 2 gold balls from the bag.
Let's say there are "g" gold balls in the bag. Then the number of ways to choose 2 gold balls is:
gC2 = (g x (g-1)) / (2 x 1)
We want to find the probability that 2 gold balls are removed, so we use the formula above to get:
Probability of choosing 2 gold balls = Number of ways to choose 2 gold balls / Total number of ways to choose 2 balls
Therefore, we have:
Probability of choosing 2 gold balls = gC2 / 40C2
We are given that this probability is 12/95, so we can set up an equation:
(g x (g-1)) / (2 x 1) / (40 x 39) / (2 x 1) = 12/95
Simplifying, we get:
g x (g-1) = (12/95) x (40 x 39)
g x (g-1) = 624
Expanding and rearranging, we get a quadratic equation:
g² - g - 624 = 0
Solving this quadratic equation, we get:
g = 25 or g = -24
We discard the negative solution, as the number of gold balls must be a positive integer. Therefore, there are 25 gold balls in the bag.
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The picture is below
Answers
The surface area of the rectangular prism graphed is given as follows:
10.12 ft³.
What is the surface area of a rectangular prism?The surface area of a rectangular prism of height h, width w and length l is given by:
S = 2(hw + lw + lh).
This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.
Converting the mixed numbers to decimal, the dimensions of the rectangular prism are given as follows:
1.3 ft, 1.4 ft and 1.2 ft.
Hence the surface area of the prism is given as follows:
S = 2 x (1.3 x 1.4 + 1.3 x 1.2 + 1.4 x 1.2)
S = 10.12 ft³.
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The polynomials (-3y²-y-8) + (-y² + 2y - 4) when added is:
Answers options
O -4y² + y - 12.
O -4y²-y-12.
O 4y² + y - 12.
O-4y2-3y - 12.
O 4y2-3y - 12.
Answers
Answer:
-4y2 +y - 12
Step-by-step explanation:
-3y2 - y2= -4y2
-y+2y= y
-8 - 4= -12
-4y2 + y - 12
Drag each expression to show whether it is equivalent to 36x+9 or 9(4x-1)
Answers
1. 36x+8- 3rd column;
2. (9·4x)+(9·1)=36x+9 - 1st column;
3. (3·12x)-(3·3)=36x+9 - 2nd column;
4. 9(4x+1)=36x+9 - 1st column;
5. 36x-9- 2nd column;
6. 4(9x+2)=36x+8 - 3rd column
Define equationIn mathematics, an equation is a statement that asserts the equality of two expressions, typically separated by an equals sign (=). Equations can contain one or more variables, which are quantities that can take on different values.
Start with expressions in blue boxes:
1st column) 36x+9;
2nd column) 9(4x-1)=36x-9;
3rd column) (4·9x)+(4·2)=36x+8.
You have 6 expressions. Consider all them:
1. 36x+8- 3rd column;
2. (9·4x)+(9·1)=36x+9 - 1st column;
3. (3·12x)-(3·3)=36x+9 - 2nd column;
4. 9(4x+1)=36x+9 - 1st column;
5. 36x-9- 2nd column;
6. 4(9x+2)=36x+8 - 3rd column
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The complete question is;
Drag each expression to show whether it is equivalent to 36x + 9, 9(4x – 1), or (4 • 9x) + (4 • 2).
The equation P=20sin(2πt)+90 models the blood pressure, P , where t represents time in seconds. a. Find the blood pressure after 30 seconds. Enter the exact answer. The blood pressure is Number . b. What are the maximum and minimum blood pressures? Enter the exact answers. The maximum blood pressure is Number , and the minimum blood pressure is Number .
Answers
P = 20sin(2π(30)) + 90
P = 20sin(60π) + 90
P = 20(0) + 90 (since sin(60π) = 0)
P = 90
Therefore, the blood pressure after 30 seconds is 90.
b. The maximum blood pressure occurs when sin(2πt) = 1, which happens when 2πt = π/2 + 2πn for some integer n. Solving for t, we get:
2πt = π/2 + 2πn
t = (π/4 + πn)/π = 1/4 + n
Since t represents time in seconds, the values of t that satisfy the equation must be non-negative and less than or equal to 60 (since the blood pressure is modeled for one minute or 60 seconds). Therefore, we get:
t = 1/4, 1/4 + 1, 1/4 + 2, ..., 1/4 + 239
We can see that the maximum value of P occurs when t = 1/4 + 120 = 120.25 seconds (the middle of the time interval), and we can evaluate it using the equation:
P = 20sin(2π(120.25)) + 90
P ≈ 110.9
Therefore, the maximum blood pressure is approximately 110.9.
The minimum blood pressure occurs when sin(2πt) = -1, which happens when 2πt = 3π/2 + 2πn for some integer n. Solving for t, we get:
2πt = 3π/2 + 2πn
t = (3π/4 + πn)/π = 3/4 + n
Again, since t represents time in seconds, the values of t that satisfy the equation must be non-negative and less than or equal to 60. Therefore, we get:
t = 3/4, 3/4 + 1, 3/4 + 2, ..., 3/4 + 79
We can see that the minimum value of P occurs when t = 3/4 + 39 = 39.75 seconds (the middle of the time interval), and we can evaluate it using the equation:
P = 20sin(2π(39.75)) + 90
P ≈ 69.1
Therefore, the minimum blood pressure is approximately 69.1.
PLEASE HELP LATE HOMEWORK
Answers
The number of students who have both a cell phone and a tablet is 13. This corresponds to the intersection of the "Has Cell Phone" and "Has Tablet" sets.
What is meant by intersection?
In mathematics, the intersection of two sets A and B is a new set that contains all the elements that are common to both sets. In symbols, the intersection of A and B is denoted by A ∩ B, and it is defined as:
A ∩ B = {x : x ∈ A and x ∈ B}
Let A represent the set of students who have a cell phone, and B represent the set of students who have a tablet. The intersection of A and B, denoted by A ∩ B, represents the set of students who have both a cell phone and a tablet. Therefore, we want to find the cardinality (or size) of the set A ∩ B.
From the frequency table, we know that the total number of seventh graders surveyed is 100. We also know that there are 32 students who have a cell phone (i.e., |A| = 32) and 70 students who have a tablet (i.e., |B| = 70). We are given that 19 students who have a cell phone do not have a tablet, which means that there are 32 - 19 = 13 students who have both a cell phone and a tablet (i.e., |A ∩ B| = 13).
Therefore, the number of students who have both a cell phone and a tablet is 13. This corresponds to the intersection of the "Has Cell Phone" and "Has Tablet" sets.
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Two stores have a laptop computer for sale.
Part A: Store A is selling the laptop for
and has a discount coupon for
off. Calculate the amount of the discount at Store A.
Part B: Store B is selling the laptop for
and has a discount coupon for
off. Calculate the amount of the discount at Store B.
Part C: Which store should you purchase the laptop from? Use details to support your answer.
Answers
Store A would be the better choice as the final price is lower than Store B even though the original price was also lower at Store B.
What is discount?
Discount means the amount which is deducted by sellers from the amount to be payable by buyers.
Part A:
Store A is selling the laptop for $900 and has a discount coupon for 15% off. To calculate the amount of the discount, we can multiply the original price by the discount percentage:
Discount amount = $900 x 15% = $135
Therefore, the amount of the discount at Store A is $135.
Part B:
Store B is selling the laptop for $950 and has a discount coupon for 10% off. To calculate the amount of the discount, we can multiply the original price by the discount percentage:
Discount amount = $950 x 10% = $95
Therefore, the amount of the discount at Store B is $95.
Part C:
At Store A, the final price would be:
Final price at Store A = $900 - $135 = $765
At Store B, the final price would be:
Final price at Store B = $950 - $95 = $855
Therefore, Store A would be the better choice as the final price is lower than Store B even though the original price was also lower at Store B.
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Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is - 1/18.
Answers
The solution will be b=4, the number b such that the average rate of change of f on the interval [2, b] is - 1/18 if the provided assertion is correct.
What does interval look like in math?For instance, a range between 0 and 10 would include all of the integers between them, not just 1, 2, 3, 4, 5, 6, 7, 8, and 9. These would additionally incorporate fractional numbers like 1.3 and components like 1/10. We therefore have the job. We must determine b to the extent that the interval [2, b]'s average percentage of change or slope is -1/8. Discover f first(2).
f(2) = 1/(2) = 1/2
So, we have the point (2, 1/2)
At point b, f(b) = 1/b.
Let's plug this into the slope formula
We simply have to figure out b now. Let's start by multiplying the divisor and fraction by b.
Now, cross multiply.
Solve for b. Use the factors -4 and -2 to multiply.
Thus, b=4 or b=2.
However, b=2 cannot be the answer because the range [2,2] has no significance. Thus, b=4.
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The measure of each interior angle of a
regular polygon is 135°. How many sides does the polygon have?
A. 5
B. 6
C. 7
D. 8
E. Cannot be determined from the
information given.
Answers
Answer:
8 sides
Step-by-step explanation:
Let n be the number of sides
Then sum of internal angles [tex]=(n-2)180[/tex]
——-(1)
It is given that one internal angle [tex]=135[/tex]
So sum of n equal internal angles [tex]=135n[/tex] ————(2)
From(1) and(2)
[tex](n-2)180=135n[/tex]
[tex]180n-360=135n[/tex]
[tex]180n-135n=360[/tex]
[tex]45n=360[/tex]
[tex]n=360\div45=8[/tex]
[tex]\bold{So \ the \ number \ of \ sides=8}[/tex]