Answer:
1/5, 1/2, 3/4
Step-by-step explanation:
I just now this already from experience, but you could covert all of the fractions into a common denominator. For example use 20.
1/5 = 4/20
1/2 = 10/20
3/4 = 15/20
Then you just need to look at the numerators which 4,10,15 would be the order. And then make sure to convert to the original fractions making the final order be 1/5, 1/2, 3/4.
What are the coordinates of the vertices of the final image? A. P’(12, -6), Q’(8, -7), R’(4, -4), and S‘(7, -1) B. P’(12, 8), Q’(8, 9), R’(4, 6), and S‘(7, 3) C. P’(-12, 6), Q’(-8, 7), R’(-4, 4), and S‘(-7, 1) D. P’(12, 6), Q’(8, 7), R’(4, 4), and S’(7, 1)
Answer:
Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.
Now, let's find the new vertices of the dilated image:
Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).
Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).
Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).
Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).
Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).
Step-by-step explanation:
Hope this helps you!! Have a good day/night!!
Evaluate the function found in the previous step at X =-3
In order to evaluate the given function at x = -3, simply replace "x" in the function with -3 and solve.
\(-3-5y=-4(-3)-2y\)Multiply -4 and -3 in the function above.
\(-3-5y=12-2y\)Add 3 on both sides of the equation.
\(-3-5y+3=12-2y+3\)\(-5y=15-2y\)Add 2y on both sides of the equation.
\(-5y+2y=15-2y+2y\)\(-3y=15\)Divide both sides of the equation by -3.
\(\frac{-3y}{-3}=\frac{15}{-3}\)\(y=-5\)Therefore, at x = -3, the value of y = -5. Hence, f(-3) = -5.
Answer:
f(-3) = -5
Is this sequence arithmetic? (Hint: determine if there is a common difference)
7, 18, 29, 40
A) yes
B) no
(X-2)(x^2+2x+4) what is the answer to this equation?
Answer:
x^3 - 8
Step-by-step explanation:
I WILL GIVE BRAINLEST ITS A IREADY QUESTION (7TH GRADE)
The mean of the areas of the shapes is 107.47
How to determine the mean of the areasThe triangle:
The area is calculated as
Area = 0.5bh
So, we have
Area = 0.5 * 8 * 12
Evaluate
Area = 48
The parallelogram:
The area is calculated as
Area = bh
Substitute the known values in the above equation, so, we have the following representation
Area = 13 * 19
Area = 247
The rectangle:
The area is calculated as
Area = bh
So, we have
Area = 8.1 * 3.5
Area = 28.35
The polygon:
The area is calculated as
Area = (n/2) * L * R
This gives
Area = (5/2) * 4 * 2.5
Area = 25
The trapezoid:
The area is calculated as
Area = (1/2) * (sum of parallel sides) * height
So, we have
Area = (1/2) * (18 + 24) * 9
Area = 189
The mean is then calculated as
Mean = (48 + 247 + 28.35 + 25 + 189)/5
Mean = 107.47
Hence, the mean area is 107.47
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The mean of all the answers
103.47Can someone help with this question?✨
Answer:
Step-by-step explanation:
well what even is the question all i see is graphs
Properties of Parallelograms
Answer:
In a parallelogram opposite sides are parallel to each other
Step-by-step explanation:
the opposite sides are equal that's why it is called parallelogram
A survey of 800 randomly selected adults in a certain country found that 82% believed that
protecting the rights of those with unpopular views is a very important component of a strong
democracy.
a. Verify the Central Limit Theorem conditions.
b. Find a 95% confidence interval for the proportion of adults in the country who believe that
protecting the rights of those with unpopular views is a very important component of a strong
democracy.
c. Would a 90% confidence interval based on this sample be wider or narrower than the 95%
interval? Give a reason for your answer.
a) the Central Limit Theorem conditions are met. b) The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.
c) . A 90% confidence interval would be wider than the 95% interval
How to Verify the Central Limit Theorem conditions.To verify the Central Limit Theorem (CLT) conditions, we need to check the following:
1. Random Sampling: The survey states that 800 adults were randomly selected, which satisfies this condition.
2. Independence: We assume that the responses of one adult do not influence the responses of others. This condition is met if the sample is collected using a proper random sampling method.
3. Sample Size: To apply the CLT, the sample size should be sufficiently large. While there is no exact threshold, a common rule of thumb is that the sample size should be at least 30. In this case, the sample size is 800, which is more than sufficient.
Therefore, the Central Limit Theorem conditions are met.
b. To find a 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views, we can use the formula for calculating a confidence interval for a proportion:
CI = p ± z * √(p(1-p)/n)
where:
- p is the sample proportion (82% or 0.82 in decimal form).
- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.96.
- n is the sample size (800).
Calculating the confidence interval:
CI = 0.82 ± 1.96 * √(0.82(1-0.82)/800)
CI = 0.82 ± 1.96 * √(0.82*0.18/800)
CI = 0.82 ± 1.96 * √(0.1476/800)
CI = 0.82 ± 1.96 * √0.0001845
CI ≈ 0.82 ± 1.96 * 0.01358
CI ≈ 0.82 ± 0.0266
The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.
c. A 90% confidence interval would be wider than the 95% interval. The reason is that as we increase the confidence level, we need to account for a larger margin of error to be more certain about the interval capturing the true population proportion. As a result, the interval needs to be wider to provide a higher level of confidence.
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I WILL GIVE BRAINLY!!! PLEASE ANSWER!
I think it's either A or C but I don't know. Please help me.
Answer:
its A
Step-by-step explanation:
a translation up would just be it moving
however, since the orientation changed, its A
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP ME. IF I PASS THIS I GET TO GO TO DISNEY WORLD.
Answer:
11.5
Step-by-step explanation:
(statistics) solve part A, B, and C in the question on the picture provide, in 1-3 complete sentences each.
(a.) First let's define the terms;
Population - it is the pool of individual in which a statistical sample is drawn.
Parameter - it is a measure of quantity that summarizes or describes a Population.
Sample - is a smaller and more managable version of a group or population.
Statistics - same with parameter but rather than the population, it summarizes or describes
the sample.
Now that we know the definitions we can now answe the letter a;
Population: Students
Parameter: the population portion of the new students that like the new healthy choices (p)
Sample: 150 students
Statistics: estimated propotion of the students that like the new healthy choices (p-hat)
(b) P-hat = 0.6267 simply means that 62.67% of the 150 sample students like the new healthy choices.
(c) The answer for that is NO, because the simulated propotion which is shown by the graph seems to be equally distributed below and above 0.7. To support the claim of the manager most of the dots should be below 0.7 to show support to his claim that 70% of the new students like the new healthy choices.
\(2(5y + 3) - 4(7y + 1) = - 88\)
Can someone help me please!:(
Answer:
y = 5Step-by-step explanation:
2(5y + 3) - 4(7y + 1) = - 88
Multiply the terms in the bracket
That's
10y + 6 - 28y - 4 = - 88
- 18y + 2 = - 88
Subtract 2 from both sides
That's
- 18y + 2 - 2 = - 88 - 2
- 18y = - 90
Divide both sides by - 18
\( \frac{ - 18y}{ - 18} = \frac{ - 90}{ - 18} \)
We have the final answer as
y = 5Hope this helps you
4
0
A
Compare and using the number line.
름
10
A
Which point represents ?
B
B
-|~
2
C
D
1
D
Enter
The point D represents 1 on the number line.
What is number line ?A number line is a visual representation of numbers arranged in sequential order. It is usually depicted as a horizontal line, with tick marks or hash marks at regular intervals, representing the numbers. Number lines can be used to represent a wide variety of mathematical concepts, such as fractions, decimals, negative numbers, absolute value, and ratios. They are also used to compare numbers and to help visualize the concepts of addition, subtraction, multiplication, and division. Number lines can also be used to explore inequalities, algebraic equations, and graphing.
The point D represents 1 on the number line.
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A box contains 1 3/4 Pasta how many ounces of pasta are in the box
Answer:
Step-by-step explanation:
is there more information to the question??
select the correct word form for 56,078
Answer:
Fifty six thousand and seventy eight
Step-by-step explanation:
Fifty six thousand and seventy eight
Exponential and log Equations
1. 2log(2x)=7
Points A (4, 3), B (6, 4), C (5, 6) and D (3, 5) are the vertices of a square ABCD. The square ABCD is reflected about the line through (0, 0) and (-2, 2). Find the vertices of the image of the square ABCD and present both the figures on the same graph.
The vertices of the reflected square.
Let's calculate them:
A' = (-0.914, 3.914)
B' = (-2.828, 5.828)
C' = (-0.086, 7.086)
D' = (1.828, 5.172)
The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:
Find the equation of the reflection line:
The reflection line passes through (0, 0) and (-2, 2).
We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):
m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.
Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:
y - 0 = -1(x - 0)
y = -x.
Find the midpoint of each side of the square:
The midpoints of the sides of a square are also the midpoints of its diagonals.
The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).
The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).
The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).
The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).
Reflect the midpoints about the line:
To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.
The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:
d = (y + x) / √(2).
The coordinates of the reflected points can be found using the formula for reflection across a line:
x' = x - 2d / √(2)
y' = y - 2d / √(2).
Calculate the reflected vertices:
The coordinates of the reflected vertices are as follows:
A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))
B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))
C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))
D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))
Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.
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A chef has 13 brands of hot sauce. In how many ways can the chef pick 4 to mix into a gumbo. Simplify your answer.
Answer:
715 ways
Step-by-step explanation:
The order in which the brands are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
In this question:
4 from a set of 13. So
\(C_{13,4} = \frac{13!}{4!(13-4)!} = 715\)
715 ways
Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from
data.
13, 17, 9, 21
What is the standard deviation for the data?
Answer:
Approx. 4.47
Step-by-step explanation:
To calculate the standard deviation for the data, we need to follow these steps:
1. Calculate the mean (average) of the data:
mean = (13 + 17 + 9 + 21) / 4 = 15
2. Calculate the difference between each data point and the mean:
13 - 15 = -2
17 - 15 = 2
9 - 15 = -6
21 - 15 = 6
3. Square each difference:
(-2)^2 = 4
2^2 = 4
(-6)^2 = 36
6^2 = 36
4. Calculate the variance by taking the average of the squared differences:
variance = (4 + 4 + 36 + 36) / 4 = 20
5. Calculate the standard deviation by taking the square root of the variance:
standard deviation = sqrt(variance) = sqrt(20) ≈ 4.47
Therefore, the standard deviation for the data is approximately 4.47.
how do you multiply like 29*34 or 365*895 something with 2 digit it dont matter but more than 1 digit I still dont know
I put a step by step on the picture, I thought it would be easier than words. Hope this helps!
16) A rectangle has dimensions of 10 feet by
18 feet. What is the length of the
diagonal?
A) 28 feet B) 20.6 feet
C) 15 feet
D) 424 feet
Answer:
Step-by-step explanation: 20.6 rounded to the nearest tenth.
Pre college how do you graph this
Answer:
you can't graph it
Step-by-step explanation:
I hope this helps!❆
2x - 2y = 14
x-y= 2
Solve Using Substitution
Find the tangents of the acute angles in the right triangle. Write each answer as a fraction. WILL MAKE BRAINLIEST!!
tan G = ?
tan H = ?
The tangents of the acute angles in the right triangle gives:
tan(G) = 2
tan(H) = 1/2
How to find the tangents of angles?It should be noted that tangent is the ratio of opposite over adjacent. Thus:
tan(angle) = opposite/adjacent
So for reference angle G, we say,
tan(G) = JH/GJ = 2/1 = 2
We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)
So we have this interesting property where
tan(G)*tan(H) = 2*(1/2) = 1
In general,
tan(A)*tan(B) = 1 if and only if A + B = 90 degrees
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*Today's Assignment*
Design a salary slip for the month of March 2023 with information given below.
Fixed vs variable ratio- 70:30
Ctc - 18L
Basic- 50%
Hra- 20%
Da - 12%
Insurance - 2500
Incentive- 75% target completion
Pf 12%
Earned leaves - 2
LOP - 4
Calculate net pay
A salary slip for the month of March 2023 with information given below.
Salary Slip - March 2023
Employee Details:
Name: [Employee Name]
Employee ID: [Employee ID]
Designation: [Employee Designation]
Earnings:
Basic Salary: [Basic Salary]
House Rent Allowance (HRA): [HRA]
Dearness Allowance (DA): [DA]
Incentive: [Incentive]
Total Earnings: [Total Earnings]
Deductions:
Provident Fund (PF): [PF]
Insurance: [Insurance]
Loss of Pay (LOP): [LOP]
Total Deductions: [Total Deductions]
Net Pay: [Net Pay]
Breakdown:
Basic Salary: 50% of CTC (18L) = [Basic Salary]
HRA: 20% of Basic Salary = [HRA]
DA: 12% of Basic Salary = [DA]
Incentive: 75% of target completion = [Incentive]
Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]
PF: 12% of Basic Salary = [PF]
Insurance: Rs. 2500 = [Insurance]
LOP: [LOP]
Total Deductions = PF + Insurance + LOP = [Total Deductions]
Net Pay = Total Earnings - Total Deductions = [Net Pay]
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A laboratory tested 83 chicken eggs and found that the mean amount of cholesterol was 233
milligrams with o = 12.9 milligrams. Construct a 95% confidence interval for the true mean
cholesterol content, μ, of all such eggs.
O231 mg <μ< 237 mg
O229 mg << 235 mg
O229 mg << 236 mg
230 mg << 236 mg
The 95 percent interval for the true mean cholesterol content, μ, of all such eggs is given as 230 mg <μ< 236 mg
How to solve for the intervalTo get the 95 percent confidence interval
we would have the following
σ / √n
= 12.9 / √83
= 1.415964
1 - 0.95 = 0.05
z 0.05/2 = 1.96
we would have
233 ± 1.96 * 1.415964
233 - 2.775289 , 233 + 2.775289
230.22 , 235.775
When approximated to the nearest whole numbers we would have
230 , 236
Hence the 95 percent interval for the true mean cholesterol content, μ, of all such eggs is given as 230 mg <μ< 236 mg
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The price of a toy is 12 euros in German and 14 Swiss franc in Switzerland. 1 swiss franc = 0.905 Euros. Calculate the difference in these two prices (Give your answer in Euros)
Answer:
12,670 Euros
Step-by-step explanation:
14 x 0,905 = 12,670
A 21 choices basic sundae comes in three sizes small medium or large and includes one flavor of ice cream and one of 12 toppings dontrelle has enough money for a small or medium basic sundae how many different sundaes could dontrelle order that included only flavor that he likes
Answer:
\(\frac{2}{sizes}\) * \(\frac{18}{flavors}\) *\(\frac{12}{toppings}\) = 432 possible sundaes
Step-by-step explanation:
The required number of combinations Dontrelle can order is 504.
As mentioned in the question that 21 choices basic sundae comes in three sizes small medium or large and includes one flavor of ice cream and one of 12 toppings Dontrelle has enough money for a small or medium basic sundae.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Here,
Total number of choices of sundaes = 21 small + 21 medium = 42
Total number of toppings = 12
Total ice cream = 1
Total number of combinations = 42 × 12 × 1 = 504
Thus, the required number of combinations Dontrelle can order is 504.
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Let u = <3, 3> and v = <11, 8>. Find u + V.
The sum of the given vectors is 14i+11j.
Given that are vectors u = <3, 3> and v = <11, 8> we need to find u + v,
So,
Considering the vectors, a and b in two-dimensional,
\(\overrightarrow{a} = x_1i+y_1j\\\overrightarrow{b} = x_2i+y_2j\\\)
The following step is used to find out the vector sum of a and b;
i-component of the vector a is added with the i-component of the vector b,
j-component of the vector a is added with the j-component of the vector b,
Therefore, the sum is =
\(\overrightarrow{a}+\overrightarrow{b} = (x_1+x_2)i +(y_1+y_2)j\)
Here,
\(\overrightarrow{u} = 3i+3j\\\\\overrightarrow{v} = 11i+8j\)
The sum =
\(\overrightarrow{u}+ \overrightarrow{v} =(3i+3j)+(11i+8j)\\\\= (3+11)i + (3+8)j\\\\= 14i+11j\)
Hence the sum of the given vectors is 14i+11j.
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Solve the following formula for t.
Q=M + Mrt
t= (Simplify your answer.)
Mathematical objects other than numbers can be used in operations. Here, t can be expressed as \(\frac{Q-M}{r}\).
What are mathematical operations?Binary and unary operations are the two most popular forms of operations. Trigonometric functions and negation are examples of unary operations that use only one value. Contrarily, binary operations, which include addition, subtraction, multiplication, division, and exponentiation, only accept two values.
Mathematical objects other than numbers can be used in operations. Logic operations like and, or, and not can be used to combine the logical values true and false. It is possible to add and subtract vectors. Utilizing the function composition operation, it is possible to combine rotations by first performing the first rotation and then the second. The binary operations union and intersection as well as the unary operation of complementation are operations on sets. Composition and convolution are two operations on functions.
Solving for t,
Q = M + Mrt
t = \(\frac{Q-M}{r}\)
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