Answer:
5-6+ (-9)-(-5)+1= -4
-2-7+ (-4)+6-1= -8
8-(-2)+7-(-8)-6+3= 22
1-(-5)-16+4+ (-12)+ (-3)-7= -28
The second quartile of a data set is 4.2. Which statement about the data values is true?
One fourth of the values are less than or equal to 4.2, and three fourths are above 4.2.
What is second quartile?The second quartile of a dataset, also known as the median, is a measure of central tendency that divides the dataset into two equal halves. It is the value that separates the lower 50% of the data from the upper 50% of the data.
According to question:The correct answer is C. One fourth of the values are less than or equal to 4.2, and three fourths are above 4.2.
The second quartile, also known as the median, is the value that separates the lower 50% of the data from the upper 50% of the data. So, if the second quartile of a data set is 4.2, it means that 50% of the values in the data set are below 4.2, and 50% of the values are above 4.2.
Since the first quartile is the value that separates the lower 25% of the data from the upper 75% of the data, we know that one fourth of the values must be less than or equal to the second quartile (4.2). Similarly, since the third quartile is the value that separates the lower 75% of the data from the upper 25% of the data, we know that three fourths of the values must be above the second quartile (4.2).
Option A is incorrect because it suggests that a value below the second quartile is 2.5, which cannot be determined from the given information. Option B is incorrect because it suggests that a value below the second quartile is 4.7, which is also not necessarily true. Option D is incorrect because it suggests that half of the values are above the second quartile, which is only true if the data set is symmetric. Option E is incorrect because it suggests that half of the values are below the second quartile, which is also only true if the data set is symmetric.To know more about second quartile visit:
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The second quartile of a data set is 4.2. Which statement about the data values is true?
A. The data value 2.5 will lie below the second quartile.
B. The data value 4.7 will lie below the second quartile.
C. One fourth of the values are less than or equal to 4.2, and three fourths are above 4.2.
D. One fourth of the values are less than or equal to 4.2, and half of the values are above 4.2.
E. One fourth of the values are above 4.2, and half of the values are less than or equal to 4.2.
Combine like terms. −5y^3+3y^3+5x^3−3y^3+x^3−2y^2+3y^2
(-5y³ + 3y³ - 3y³) + (5x³ + x³) + ( -2y² + 3y²) is the combined terms of the given expression.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given terms are
⇒ -5y³ + 3y³ + 5x³ - 3y³ + x³ -2y² + 3y²
Combine all y³ terms
-(5y³ + 3y³ - 3y³)
Combine all x³ terms
(5x³ + x³)
Combine all y² terms
( -2y² + 3y²)
Add all together (-5y³ + 3y³ - 3y³) + (5x³ + x³) + ( -2y² + 3y²) is the combined likely terms.
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Rewrite 24 as an improper fraction
Answer:
48/2
Step-by-step explanation:
you can just multiply it by the denominator to make any number an improper fraction
What is the average of 89, 91, and 84?
Answer:
88
Step-by-step explanation:
Use the following formula
Average=Sum/Count
89+91+84=264
264/3
88
Find a positive angle less than 360° that is coterminal with the given angle.
-335°
o
A positive angle less than 360° that is coterminal with - 335° is
Answer:
3(360⁰)-335⁰
=1080⁰-335⁰
=745⁰ is a positive angle.
Number 8 pls help 50 points! Simple question
The conversion of 5 c to pints, represented as pt will give 2.5 pt.
How to convert cups to pints
The conversion rate of 1 pint to cup is at the rate of 1 pint to 2 cups. So when we have 5 cups for conversion to pints, we will have to multiply 5 cups by 1 pint and then divide the result by 2.
When this is done, the resulting figure will be 2.5 pt. In the same vein, the conversion of 2.5 pt to cup will give 5 cups. So, for the number 8 question above, we can arrive at 2.5 pt as the answer for the conversion of 5 cups to pints.
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hallar el valor de la incognita de la siguiente ecuacion 3(x-1)-4(5-x)=2(6+x)
Answer;
x = 7
Step-by-step explanation:
3(x - 1) - 4(5 - x) = 2(6 + x)
3x - 3 -20 + 4x = 12 + 2x
7x - 23 = 12 + 2x
7x - 2x = 23 + 12
5x = 35
x = 35/5
x = 7
What's the present value of $13,000 discounted back 5 years if the appropriate interest rate is 9%, compounded semiannually? Select the correct answer.
The present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% can be calculated by the formula:PV = FV / (1 + r/m)^(m*t)Here, PV stands for Present Value FV stands for Future Valuer stands for the interest rate (9%)m is the number of times the interest is compounded (semi-annually, so m = 2)t is the number of years (5)
After substituting the values in the formula, we get:PV = 13,000 / (1 + 0.045)^10PV = 13,000 / 1.55709768854PV = $8,349.58. We can use the concept of present value (PV) and future value (FV) to solve this question. When the cash flow is considered at different points of time, the money's value changes with the time value of money. The time value of money takes into consideration the amount of interest that could be earned on the sum of money if invested. Present value (PV) is a mathematical concept that represents the current worth of a future sum of money, taking into account the time value of money and the given interest rate. PV is calculated by using a discount rate that is determined by the interest rate and the length of time between the present and future payment dates. Future value (FV) is a mathematical concept that represents the future worth of a present sum of money, taking into account the time value of money and the given interest rate. FV is calculated by using a compound interest rate that is determined by the interest rate and the length of time between the present and future payment dates. To calculate the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9%, we can use the formula PV = FV / (1 + r/m)^(m*t), where PV is the present value, FV is the future value, r is the interest rate, m is the number of times the interest is compounded per year, and t is the number of years. In this case, we know that FV is $13,000, r is 9%, m is 2 (since it is compounded semi-annually), and t is 5. After substituting these values into the formula, we get PV = $8,349.58. Therefore, the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% is $8,349.58.
Therefore, the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% is $8,349.58.
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Solve the system by substitution.
2x – 3y = 38
-x – 6 = y
Answer:
x=19,0
y=0,-38/3
Step-by-step explanation:
Answer:
x = 4, y = -10
Step-by-step explanation:
-x - 6 - y = 0
-x - y = 6
2x - 3y = 38, -x - y =6
2x - 3y = 38
2x = 3y + 38
Divide both sides by 2
x = 1/2(3y+38)
Multiple 1/2 times 3y + 38
x= 3/2 y + 19
-(3/2y + 19) -y =6
-3/2y - 19 - y = 6
-5/2y -19 = 6
-5/2y = 25
y = -10
x = 3/2(-10) + y
x = -15 + 19
x = 4
x = 4, y = -10
how to make a mixed fraction into an improper fraction
Answer:
Multiply the denominator of the fractional part by the whole number, and add the result to the numerator.
For example, suppose you want to convert the mixed number to an improper fraction. First, multiply 3 by 5 and add 2:
(3 · 5) + 2 = 17
Use this result as your numerator, and place it over the denominator you already have.
Place this result over the denominator:
This method works for all mixed numbers. Furthermore, if you start with the fractional part reduced, the answer will also be reduced.
Step-by-step explanation:
need help fast what is the equation
The equation is 128 + 2x = 180.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
The sum of the same-side interior angles between two parallel lines is supplementary
This means,
128 + 2x = 180
2x = 180 - 128
2x = 52
x = 26
Thus,
The value of x is 26.
The equation is 128 + 2x = 180.
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Solve for X
1. 6(8 x + 6) + - 1
2. 9x/7 + 6 = 6
3. 2x/11 (11 - 7) = 6
4.11x/4 (4 - 2) = 9x + 10
The value of x is
1. x= -37/48
2. x=0
3. x = 33/4
4. x= -20/7
What is equation?A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
1. 6(8 x + 6) + = - 1
48x + 36 = -1
x= -37/48
2. 9x/7 + 6 = 6
9x/7= 6-6
9x/7 =0
x= 0*7/9
x= 0
3. 2x/11 (11 - 7) = 6
x * 4= 6*11/2
4x= 33
x = 33/4
4. 11x/4 (4 - 2) = 9x + 10
11x/4 * 2 = 9x +10
11/2*x = 9x +10
-7/2x = 10
x= -20/7
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Question in the photo!
=36
A ) = 36
the rest are to little or much
A chart that describes a company's formal structure is called a:
a. Organizational chart
b. Flowchart
c. Gantt chart
d. Pie chart
A chart that describes a company's formal structure is called an Organizational chart.
An organizational chart is a visual representation of an organization's structure. It illustrates how individual employees, teams, and tasks fit into the broader framework. It is also known as an organization chart or org chart. This type of chart depicts reporting relationships, responsibilities, and roles within an organization in a hierarchical arrangement.
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Match the following ratios to what they describe.
Description
The ratio of students who wish they had x-ray
vision to all students
The ratio of students who wish for flight to all
students
The ratio of students who wish for flight to
those who wish for invisibility
Ratio
2:9
2:3
1:6
The ratio of students who wish they had x-ray vision to all students: 2:9
The ratio of students who wish for flight to all students: 3:1
The ratio of students who wish for flight to those who wish for invisibility: 6:1
How to Match the ratios to what they describe.1. The ratio of students who wish they had x-ray vision to all students: 2:9
This means that out of a group of students, there are 2 students who wish they had x-ray vision for every 9 students in total.
2. The ratio of students who wish for flight to all students: 2:3
This ratio indicates that out of a group of students, there are 2 students who wish for the ability to fly for every 3 students in total.
3. The ratio of students who wish for flight to those who wish for invisibility: 1:6
This ratio compares the number of students who wish for flight to the number of students who wish for invisibility. It states that for every student who wishes for flight, there are 6 students who wish for invisibility.
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small insurance company offers two plans, catastrophic and bronze. The catastrophic plan costs $170 per person per month, and the bronze plan costs $480 per person per month. Each month, the insurance company earns $477,300 from the 1,285 people that have purchased their insurance plans. Which of the following systems of equations represents the relationship between the number of catastrophic plans, c, and the number of bronze plans, b, per month?
The system of equations are:
c + b = 1285
170c + 480b = 477,300
What are the equations?Two equations would be derived from the information provided in the question. The equations are known as simultaneous equations. The equations would have to be solved together in order to determine the required values.
The methods that can be used to solve simultaneous equations are:
Elimination method Substitution method Graph methodThe form of the equations is:
Number of catastrophic plan sold + number of bronze plans sold = total plans sold
Cost of the catastrophic plan x number of the plan sold) + (number of bronze plan sold x cost of the plan) = total cost of the plans
c + b = 1285
170c + 480b = 477,300
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All observations in a list are multiplied by 5. Which of the following will NOT change? a)the average b)the deviations c)the standard deviation d)the observations expressed in standard units
Answer:
d)the observations expressed in standard units
Step-by-step explanation:
The average will change and hence, consequently, so will the deviations from the average and also the standard deviation. so, the only option left is d)
Find the value of x. Round the length to the nearest tenth.
Answer:
x=6 and x=5.1
Step-by-step explanation:
Identify the resulting polynomial as monomial, binomial, trinomial, or as polynomial?Find the degree of each..(3y+5)(3y+4)
We have the next given expression:
(3y+5)(3y+4)
Simplify the expression:
(3y+5)(3y+4) = 3y*3y+*3y*4+*5*3y+5*4
= 9y²+12y+15y+20
=9y²+27y+20
Hence, the expression is a trinomial.
It is degree is given by the largest exponent number.
Then, the degree of the polynomial is 2.
Factor the expression. 27x^15−64y^9
Answer:
(3x2 - 4y4) • (9x4 + 12x2y4 + 16y8
Currently, this program will add 6 and 3 together, output the math problem and output the answer. Edit this code so that a random number is generated from 1 - 5 (inclusive) for the variables a and b. Also, instead of adding the two numbers together, the edited program should multiply them, and output the proper math problem and answer. Be sure to update every line of code to reflect the changes needed.
The program that has to be modified serves as an example of how Python can generate random integers.
The random module will be used to create the random numbers from 1 to 10.
The modified program, which uses comments to clarify the program's lines, is as follows:
Here, the random module is imported.
import arbitrary
This produces random numbers.
A = Random.Random (1,10)
This produces a new random number.
B = Random.Random (1,10)
#This increases both integers by one.
response = a * b
This shows the program's outcome.
print the following: str(a) + "* " + str(b) + " = " + str(answer)
The sum of the two random numbers will be printed at the program's conclusion.
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HELP!!! answer quickly pls
Answer:a
Step-by-step explanation: move c 6 to the right and then up 6
Answer:
A
Step-by-step explanation:
(x, y) → (x + 6, y + 6)
C:
(-4, -2) → (x + 6, y + 6)
(-4, -2) → (-4 + 6, -2 + 6)
(-4, -2) → (2, 4)
C': (2, 4)
(2, 4) is located where A is.
What is the volume of the cylinder?
•576 cm3
•2887 cm3
•96 cm3
•192 cm3
\( \large\begin{gathered} {\underline{\boxed{ \rm {\red{Volume \: \: of \: \: cylinder \: = \: \pi \: {r}^{2} \: h }}}}}\end{gathered}\)
r represents radius of cylinder.h represents height of cylinder.So ,r = 6 cmh = 16 cmπ = 3.14Substuting the values⇥Volume of the cylinder = π r² h
⇥Volume of the cylinder = 3.14 × 36 × 16
⇥Volume of the cylinder = 113.04 × 16
⇥Volume of the cylinder = 1808.64
Hence , the volume of cylinder is 1808.64 cm²
(10.07 mc) given what degree maclaurin polynomial is required so that the error in the approximation is less than 0.001?
n=4 is the degree maclurins polynomial is required so that the error in the approximation is less than 0.001.
Given that,
The expression is
e⁰⁵=1+0.5+0.5²/2!+0.5³/3!+.....
We have to find what degree maclurins polynomial is required so that the error in the approximation is less than 0.001.
We know that,
What is the polynomial?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
√e=1.64872
Pₙ( x)= e⁰⁵=1+0.5+0.5²/2!+0.5³/3!+.....
P₂=1+0.5+0.5²/2!=1.625
P₃= P₂+0.5³/3!=1.6458
P₄= P₃+0.5⁴/4!=1.648404
√e - P₄ = -0.0003158
Therefore, n=4 is the degree maclurins polynomial is required so that the error in the approximation is less than 0.001.
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After the third test in science, Morgan's average is 92%. If she wants to raise her average to 93%, what score does she need to earn on the next test? HHHHHHHHHHHHHHHHEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 96%
Step-by-step explanation:
Morgan's average grade was 92% after the third test.
Lets say all the tests were out of 100 to help you understand.
We can say that she got 92 out of 100 on all three tests.
Her total point would be 92 * 3 which would be 276, out of 300 points available.
Now she takes her fourth test and she wants an average of 93
Out of 100, if she gets a score of X, her total point after the fourth test would be 276 + X out of 400 points available.
so the percentage of 276 + X / 400 should be 93%.
( 276 + X / 400 ) * 100% = 93%
multiply 400 on each side,
( 276 + X ) * 100 % = 93 * 400 %
now divide each side by 100
276 + X = 93 * 4
93 * 4 = 372
Subtract each side by 276
X = 96
So she needs to get a 96 out of 100 or higher, which is 96%.
(x-4)² = 289 with solution pls
Suppose you drop a ball from a height of 10 feet. after the ball hits the floor, it rebounds to a height defined by the recursive formula an = 0.85an – 1. what is a1? feet what is the height the ball rebounds to after its third bounce? round your answer to three decimal places. feet
The maximum height of the ball after its third bounce is equal to 3.568 feet.
What is the maximum height of a ball at the third bounce?
In this question we are aware that the maximum height reached by the ball decreases linearly after each bounce. To determine that height, we must take advantage of the recursive formula described in statement:
n = 0
a₀ = 10 ft
n = 1
a₁ = 0.85 · 10 - 1
a₁ = 8.5 - 1
a₁ = 7.5 ft
n = 2
a₂ = 0.85 · 7.5 - 1
a₂ = 5.375 ft
n = 3
a₃ = 0.85 · 5.375 - 1
a₃ = 3.568 ft
The maximum height of the ball after its third bounce is equal to 3.568 feet.
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The first one is 10 feet.
The second one is 6.141 feet.
Step-by-step explanation: Edge 2023
There are two consecutive odd integers. The
square of the smaller one is one hundred
fifty-four more than the larger one. What
are the two integers?
Answer:
13, 15
Step-by-step explanation:
Let x represent the smaller of the two integers. Then the larger is x+2. The required relation is ...
x² = 154 +(x +2) . . . . . . the smaller squared is 154 more than the larger
x² -x = 156 . . . . . . . . . . subtract x
x² -x +1/4 = 156.25 . . . complete the square
(x -1/2) = √156.25 = 12.5 . . . . take the square root
x = 13 . . . . . add 1/2
The two integers are 13 and 15.
__
Check
13² -15 = 169 -15 = 154 . . . as required
The distance from Wakefield to London is 180 miles. A train travels this distance in 2 hours 15 minutes. Calculate the average speed of the train.
Answer:
v = 80 mph
Step-by-step explanation:
Given that,
The distance from Wakefield to London is 180 miles.
The train travels this distance in 2 hours 15 minutes.
We need to find the average speed of the train. The average speed of the train is equal to the total distance covered divided by the time taken.
\(v=\dfrac{d}{t}\\\\v=\dfrac{180\ miles}{(2+\dfrac{15}{60})\ h}\\\\v=80\ mph\)
So, the required average speed of the train is 80 mph.
in a college student poll, it is of interest to estimate the proportion p of students in favor of changing from a quarter-system to a semester-system. how many students should be polled so that we can estimate p to within 0.09 using a 99% confidence interval? no information is available concerning an approximate value of p.
Total 205 students should be polled so that we can estimate p to within 0.09 using a 99% confidence interval.
We have given that
Estimate of the proportion of students
= p
Confidence interval = 99%
As we know that the margin of error for the confidence interval is ,
MOE = Z ×√(p × (1-p)) / n
Where Z is z-score for
p --> estimate proportion confidence interval
n --> sample size
margin of error = 0 .09,
so we can set the equation as,
0.09 = Z×√(p×(1-p)) / n
Using the Z-table , the Z value for a 99% confidence interval is 2.575..
we will use p = 0.5 (since we are not given any information about value of p).
plugging all known values in above formula we get, 0.09 = 2.575√(0.5(0.5))/n
=> 0.0349 = √0.25/ n
=>0.00122 = 0.25/n
=> n = 204.6489
Since we get a decimal and we need our answer in number of students to sample, we round up to n = 205.
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