The new co-ordinates of the point after transformation is (-3,9)
what is the Cartesian coordinate system?A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates,
Given here: The point g'(4,6)
The point transforms to (x-7,y+3)
Thus the new points are 4⇒4-7=-3
6⇒6+3=9
Thus, The new co-ordinates of the point after transformation is (-3,9)
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candidate a says that he is winning because current polling shows that he has 54% of the vote as opposed to his opponent who has 46% of the vote. the poll has a margin of error of plus or minus 5%. is candidate a giving an honest reading of the poll results? why or why not?
Candidate A may not be giving an honest reading of the poll results.
When interpreting poll results, it is important to consider the margin of error, which indicates the level of precision of the results. In this case, the margin of error is plus or minus 5%. This means that the true support for each candidate could be as much as 5% higher or lower than the reported numbers.
Based on this information, it is possible that candidate A's lead is not as large as he claims, or that his opponent is actually leading by a narrow margin. Furthermore, it is important to note that the results of a single poll should not be taken as the definitive outcome of an election. Instead, multiple polls should be considered and the results should be viewed in the context of other factors such as the demographic makeup of the polling sample and the timing of the poll.
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At summer camp, 60 students are divided in two groups for swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking.
Outcome Frequency
Swimming 26
Hiking 34
Compare the probabilities and determine which statement is true.
The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 34 over 60.
The theoretical probability of swimming, P(swimming), is 26 over 34, but the experimental probability is one half.
The theoretical probability of swimming, P(swimming), is 26 over 60, but the experimental probability is one half.
The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 26 over 60
The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 26 over 60.
How to calculate the probabilityThe ratio between the number of favorable events and the total number of conceivable outcomes is known as the theoretical probability.
The experimental probability can be calculated mathematically using the following formula: Probability of an Event P(E) = Number of Times an Event Occurs / Total Number of Trials.
The experimental probability will be:
= Frequency for swimming / Total frequency
= 26 / 60
Therefore, it should be noted the correct option is D.
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Which function is the inverse of g(x)=4x−12‾‾‾‾‾‾‾√2+4?
Change the variables and find the value of y for the equation g(x)=4x12 2+4 f1(x)=and inverse is (x2)/42x+7
what is function ?Math deals with figures and their variants, calculations and parts, shapes and their regions, and locations places where they could be found. The term "function" describes the connection between a group various inputs, each of which has a corresponding output. A task is an association between inputs and outputs which each input results in a single, unique output. A domain and a codomain, or scope, are assigned toward each function. Functions are typically designated by the letter f. (x). The input is an x. Inside functions, one-to-one activities, many-to-one functions, within functions, and even on functions are the four main categories of functions that are available.
given
f(x)= [tex]\sqrt[2]{4x - 12} + 4[/tex]
f(-1)= 4x/2 - 12/2 + 4
= f−1(x)=(x^2)/4−2x+7
Change the variables and find the value of y for the equation g(x)=4x12 2+4 f1(x)=and inverse is (x2)/42x+7 .
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[(2/5)^12(3/16)^-8] x [(2/5)^12(3/16)^-8)]^-1
The solution of the given expression will be 1.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.
We are given the expression as;
[tex][(2/5)^{12}(3/16)^{-8}] \times [(2/5)^{12}(3/16)^{-8}]^{-1}[/tex]
Therefore, we can write as the fraction form;
[tex][(2/5)^{12}(3/16)^{-8}] \times [(2/5)^{12}(3/16)^{-8}]^{-1}\\\\[/tex]
[tex]\dfrac{[(2/5)^{12}(3/16)^{-8}] }{ [(2/5)^{12}(3/16)^{-8}]}[/tex] = 1
Then it will cancel out so,
= 1
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Find the geometric number between 9 and 3.
Answer:
5.2
Step-by-step explanation:
9×3 and the root of that is 5.1961524
How many of the scores (from the group that studied in Question #8).
Studied: 87, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 83
Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
. Are within one mean absolute deviation of the mean? Which scores are within one mean absolute deviation of the mean? (Please show all work). Worth a ton of points!!!!!!
Answer:
Mean Of Students Who Studied: 92.5
Absolute Deviation: 5.2
Answer: 100
Step-by-step explanation:
The Cooking Club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating 2 pies to the club. Each pie was cut into 4 pieces and then sold. There were a total of 64 pieces sold. How many pies did the club make?
The number of pies made by cooking club to raise the money for field trip is equal to 14 .
Number of pies given by cafeteria = 2
Number of pieces each pie cut into = 4
Total pieces donated by cafeteria = 8
Total number of pieces sold by cooking club = 64
Number of pieces made by cooking club = 64 - 8
= 56
Total number of pies made by cooking club to raise the money
= 56 / 4
= 14
Therefore, the total number of pies made by cooking club to raise the money is equal to 14.
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19. Nomusa has 30 sweets.
She has
18 fruit sweets
7 aniseed sweets
5 mint sweets
Nomusa is going to take at random two sweets.
Work out the probability that the two sweets will not be the same type of sweet.
You must show all your working.
The probability that Nomusa will not take two of the same type of sweet is 0.35
How to find the probability?To find the probability that Nomusa will not take two of the same type of sweets, we need to find the total number of combinations of two sweets she can take, and then find the number of combinations where the two sweets are different.
First, let's find the total number of combinations of two sweets:
C(30, 2) = 435
This means there are 435 different combinations of two sweets she can take from her collection of 30 sweets.
Next, let's find the number of combinations where the two sweets are not the same:
C(18, 2) + C(7, 2) + C(5, 2) = 153
This means that there are 153 combinations where the two sweets are different fruit sweets, different aniseed sweets, or different mint sweets.
So, the probability that Nomusa will not take two of the same type of sweet is:
153 / 435 = 0.35
This means that there is a 35% chance that the two sweets she takes will not be the same type of sweet.
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If JK=31, KI = 40, and NL=12, find the length of ‾MN‾. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
Answer:
MN = 15.5 units
------------------------------
The triangles are similar since all three angles are equal on both.
We know corresponding sides of similar triangles are proportional.
Set up proportions and find the missing side length:
MN/KJ = NL/JKMN/40 = 12/31MN = 40*12/31MN = 15.4838 ≈ 15.5Londyn and Landen are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 43.98 (about 14π ) cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?
Answer:
Step-by-step explanation:
The volume of a cone can be calculated as (1/3)πr^2h, so we can set that equal to 43.98:
(1/3)πr^2h = 43.98
Dividing both sides by (1/3)π:
r^2h = 43.98 * 3 / π
Solving for one of the variables in terms of the other requires choosing specific values for either radius or height. Here are two examples:
Example 1: Let's say r = 3.
Then
h = 43.98 * 3 / (π * 9) = 4.43
So one possible cone has height 4.43 and radius 3.
Example 2: Let's say h = 5.
Then
r^2 = 43.98 * 3 / (π * 5) = 25.51
So one possible cone has height 5 and radius 5.07.
Which of the following answers is correct?
The function d/dx (f/g) = 2 gives the value of c as -4.
What is Quotient Rule?The denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator, is how the Quotient Rule defines the derivative of a quotient.
Given:
f(x) = 1/2x and g(x) = 1/ (3x + c)
Using Quotient rule
d/ dx (f/g)
= g f' - f g- / g²
So, d/dx ( 3x+c / 2x )
= [3x -1(3x+c)] / 2x²
= -c/ 2x²
Now out x= 1
Also, d/dx (f/g)= 2
-c/ 2 = 2
c= -4.
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if researchers use statistical tests and determine that there is a low probability that their experimental results occurred purely by chance, then their results are .
If researchers use statistical tests and determine that there is a low probability that their experimental results occurred purely by chance, then their results are considered statistically significant.
Statistically significant results suggest that the observed effects in the experimental group are unlikely to have happened by chance and are likely to reflect a real effect of the treatment or intervention being tested.
However, it's important to note that statistical significance does not necessarily mean practical significance or real-world importance. For example, a small effect may be statistically significant but still not large enough to have practical implications.
Additionally, it's important to be aware of potential sources of error and bias in the experimental design and data analysis, and to consider the results in the context of other relevant evidence. Statistical significance should not be used as the sole criterion for accepting or rejecting research results, and should always be accompanied by a thorough evaluation of the quality of the evidence and the implications of the results.
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The rectangular floor of a classroom is 30 feet in length and 33 feet in width. A scale drawing of the floor has a length of 10 inches. What is the perimeter, in inches, of the floor in the scale drawing?
The perimeter of scale drawing of rectangular classroom floor is 42 inches.
Based on the mentioned information, let us first calculate the width of floor of classroom according to the scale drawing.
Length/width of original classroom floor = length/width of scale drawing
30/33 = 10/width
As we know, 1 foot = 12 inches
So, length = 360 inches and width = 396 inches
Width = (396 × 10)/360
Cancelling zero as it is common in both numerator and denominator
Width = 396/36
Performing division on Right Hand Side of the equation
Width = 11 inches
Perimeter of scale drawing = 2 (length + width)
Perimeter = 2( 10 + 11)
Performing addition
Perimeter = 2 × 21
Performing multiplication
Perimeter = 42 inches
Thus, perimeter of the rectangle is 42 inches.
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Why does everyone need to follow the order of operations when evaluating expressions?
Answer:
They make sure everyone gets to the same answer. Many people memorize the order of operations as PEMDAS (parentheses, exponents, multiplication/division, and addition/subtraction). The order of operations are one set of agreements for how to evaluate expressions. They make sure everyone gets to the same value.
Step-by-step explanation:
which measure of center best describes the data set {2,3,4,5,8,8,9,9}
A. Mean
B.Median
C.Mode
D.Range
a unit vector lies in the xy plane, at an angle of 156 degrees from the x axis, with a positive y component. what is the unit vector? (it helps to draw a diagram.)
Components of the unit vector are (cos(156), sin(156)) = (-0.41, 0.91). Drawing a vector with a positive y-component and an angle of 156 degrees with the x-axis in the xy plane will help you see it.
The unit vector has a positive y component and is located in the xy plane at a 156 degree angle to the x axis. Drawing a vector with a positive y-component and an angle of 156 degrees with the x-axis in the xy plane will help you visualise this. Components of the unit vector are (cos(156), sin(156)) = (-0.41, 0.91). This shows that the unit vector has both a positive y-component and a negative x-component. Since the unit vector's magnitude is 1, it has a length of 1, and it points in the same general direction as the 156-degree angle. In light of this, the unit vector is (-0.41, 0.91). Any vector with the same magnitude and direction as the unit vector but a different length can be represented by this vector.
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Which three-dimensional figure is formed by the rotation given?
A three-dimensional figure that is formed by the rotation given include the following: D. inverted-open cone.
What is a rotation?In Mathematics, a rotation can be defined as a type of transformation which moves every point of the geometric figure through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Generally speaking, the rotation of a plane figure around a straight line (axis of revolution) is referred to as a solid of revolution.
In this scenario, a right triangle with a side that matches the axis is rotated with respect to its hypotenuse (axis of revolution or straight line), by an angle of 360 degrees and through the origin in order to form an inverted-open cone.
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Answer: Bottom Left Corner, No Shading on the base.
Step-by-step explanation: Took the test
HEEEELLLPPPP PLEASEEEE!!
How would I find the equivalent rate of $33,000/1year????
The equivalent of the rate is $2750 per month
How to determine the equivalent rateFrom the question, we have the following parameters that can be used in our computation:
The equivalent rate of $33,000/1year
There are 12 months in a year
So, we have the following representation
Rate = $33,000/12 months
Evaluate the quotient
Rate = $2750 per month
Hence, the equivalent rate is $2750 per month
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**I WILL GIVE 50 POINTS AND BRAINLIEST**
A paperweight, the shape of a hemisphere, fits snugly inside a cylinder-shaped box with a radius of 9 cm. A cone fits snugly inside the paperweight hemisphere.
What is the volume of the cylinder in terms of π? Show all work.
What is the volume of the cone in terms of π? Show all work.
Estimate the volume of the hemisphere in terms of π by calculating the average of the volumes of the cylinder and cone. Show all work.
Answer:
V = πr^2h = πr^2(2r) = 2πr^3
Volume of the cone: The volume of a cone with height h and base radius r is given by the formula V = (1/3)πr^2h. In this case, the height of the cone is equal to the radius of the hemisphere, so h = r. Substituting this into the formula, we have:
V = (1/3)πr^2h = (1/3)πr^2r = (1/3)πr^3
Volume of the hemisphere: To estimate the volume of the hemisphere, we'll average the volumes of the cylinder and cone.
So:V = (2πr^3 + (1/3)πr^3) / 2 = (5/3)πr^3 / 2 = (5/6)πr^3
So the volume of the hemisphere is approximately equal to (5/6)πr^3, where r is the radius of the hemisphere (and equal to the radius of the cylinder).
Step-by-step explanation:
the picture has the question
Answer:
Step-by-step explanation:
Noah answered 16 questions and is informed that he's completed 80% of the survey.
To find t, you are given 16/t = 80% or 16/t = 0.8.
Switch t and 0.8 to get 16/0.8 or 16/80% to find t.
t = 20 questions.
Can someone please help me with this
Answer: Perimeter because A=L X W and P= L+W+L+W
Step-by-step explanation:
which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
The ordered pair that can be plotted together with these four points is (0, 3). Option C is the correct answer.
Describe a function.A relationship between inputs and outputs in which each input is connected to only one output is called a function.
For instance, f(x) = 2x + 1; f(1) = 2 + 1; f(2) = 2 x 2 + 1; 4 + 1; and so on.
The functions' 3 and 5 outputs are
The function's arguments are 1 and 2.
We've got
The graph's coordinates are as follows.
(3, -1), (2, 3), ), (-4, 2), and (-2, -3) (-2, -3)
Having said that,
Many-to-one but not one-to-many can exist in a function.
We therefore cannot have (-2, 0), (-2, 3). because we already had (-2, 3) and (3, 0). (3, -1).
This indicates an impossibility of a one-to-many function.
It is feasible (0, 3).
As a result, the ordered pair that can be plotted together with these four points is (0, 3). Option C is the correct answer.
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five people gather for a dinner party. what is the probability that no two of them have the same birthday
The probability of no two people having the same birthday at a dinner party with 25 people is 0.1389.
The probability of no two people having the same birthday is calculated using the Birthday Paradox. This paradox states that if there are n people gathered in a room, the probability that at least two people have the same birthday is 1 − (365/365) * (364/365) * (363/365) *...* ((365-n+1)/365).
For a dinner party with 25 people, the probability of no two people having the same birthday is 1 − (365/365) * (364/365) * (363/365) *...* (341/365) = 0.1389.
This means that there is a 13.89% chance that no two people at the dinner party have the same birthday. The probability of no two people having the same birthday at a dinner party with 25 people is 0.1389.
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which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression (3x2) x 5 7?
The expression used by commutative property of addition and the associative property of multiplication to rewrite the expression (3x2) x 5+7 is 7+3.(2.5).
The commutative property or commutative law of mathematics states that while executing mathematical operations, the order of terms is irrelevant.
Only addition and multiplication operations are under the purview of the commutative property. As a result, it means that while adding or multiplying any two integers, we can swap the positions of the numbers. One of the main characteristics of integers is this.
According to the commutative property of multiplication, even if the positions of the two integers are switched around, the result of multiplying two integers will still be the same.
Suppose A and B are two integers;
A × B = B × A
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Find the slope and the y-intercept of the line.
1
y=-x+5
x+5
slope:
y-intercept:
1
KANSER
LANTERERS
8
X
The slope and the y-intercept of the line are -1 and 5 respectively
How to determine the slope and the intercept of the lineIt is important to note the general formula for the equation of a line is expressed with the formula;
y = mx+ c
Where the noted parameters of the equation are;
y is a point on the y -axis of the line m is the gradient or slope of the linex is a point on the x-axis of the linec is the intercept of the line on the y -axisFrom the information given, we have the equation of the line as;
y = -x + 5
Now, we can have the parameters as;
Intercept, c = 5
Slope of the line, m = -1
Hence, the values are 5 and -1
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as a result of control testing, a cpa has decided to increase control risk. what is the impact on substantive testing sample size if all other factors remain constant?
Increasing control risk will not have an impact on substantive testing sample size if all other factors remain constant.
If all other factors remain constant, then the substantive testing sample size will remain the same. The increase in control risk will affect the auditor’s overall assessment of risk and may result in the auditor deciding to perform more tests of controls, but it will not necessarily affect the substantive testing sample size.
Increasing control risk will not have an impact on substantive testing sample size if all other factors remain constant.
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What is 5 x 3 1/5 please with solution
a survey conducted on 1,000 canadians found that 700 of them refused to receive the h1n1 vaccination. construct a 95% confidence interval of the estimated proportion of canadians who refused the vaccination.
A 95% confidence interval for the estimated proportion of Canadians who refused the H1N1 vaccination can be calculated as follows:
Let p be the true proportion of Canadians who refused the vaccination.
The sample proportion is estimated by:
p_hat = 700 / 1000 = 0.7
The standard error of the sample proportion is:
SE = sqrt(p_hat * (1 - p_hat) / 1000) = sqrt(0.7 * 0.3 / 1000) = 0.0247
Using a normal approximation and a z-score of 1.96 (corresponding to a 95% confidence level), the confidence interval can be calculated as:
p_hat +/- z * SE = 0.7 +/- 1.96 * 0.0247 = [0.6511, 0.7489]
So, with 95% confidence, we can estimate that the true proportion of Canadians who refused the H1N1 vaccination lies between 0.6511 and 0.7489.
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Which of the given values will make the inequality n - 93 > 175 true?
A n = 82
B n = 105
C n = 268
D n = 300
E n = 312
In the given choices, both (D) n = 300 and (E) n = 312 satisfies the inequality. So for both these options, the inequality is true.
We can solve for n by adding 93 to both sides of the inequality:
n - 93 > 175
Adding 93 on both sides
n - 93 + 93 > 175 + 93
n > 268
Therefore, the value of n that makes the inequality true is greater than 268.In the given options, n = 300 and n = 312 satisfy this condition. So this is inequality is true for both cases. The answer choice that fits this is (D) n = 300 and (E) n =312.
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I need help with this one asap
Answer:
-3
Step-by-step explanation:
-3×(-3)×(-3)= 9×(-3)
= -27