Answer:
Lower quartile = 6
Uppwr quartile = 10
Step-by-step explanation:
Coefficient of quartile deviation = 0.25
Quartile deviation = 2
Coefficient of quartile deviation = (Q3 - Q1) / (Q3 + Q1)
Quartile deviation = (Q3 - Q1) / 2
Hence;
Quartile deviation = (Q3 - Q1) / 2 = 2
Q3 - Q1 = 2 * 2
Q3 - Q1 = 4 - - - - (1)
Q3 = 4 + Q1 - - - - (2)
(Q3 - Q1) / (Q3 + Q1) = 0.25
Q3 - Q1 = 4
4 = 0.25(Q3 + Q1)
Q3 + Q1 = 4 / 0.25
Q3 + Q1 = 16 - - - - (3)
Put Q3 = 4 + Q1 in (3)
4 + Q1 + Q1 = 16
4 + 2Q1 = 16
2Q1 = 16 - 4
Q1 = 12 / 2
Q1 = 6
Q3 = 4 + Q1
Q3 = 4 + 6
Q3 = 10
C) –7c^5 + 13c^5 + c^5=
Answer:
please mark as brilliant thanks for the above
Find the area of a regular hexagon with radius length 8
PLS HELP WILL GIVE BRAINLIEST IF CORRECT♡
Rationalize the denominator of fraction with numerator square root of -36 and denominator the quantity of 2 minus 3i plus the quantity 3 plus 2i
Answer:
Here are the step require to divide complex numbers:
Step 1:To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.Step 2:Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.Step 3:Simplify the powers of i, specifically remember that i2 = –1.Step 4:Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.Step 5:Write you answer in the form a + bi.Step 6:Reduce your answer if you can.
Example 1 – Divide: 
Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

Step 3: Simplify the powers of i, specifically remember that i2 = –1.

Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 5: Write you answer in the form a + bi.

Step 6: Reduce your answer if you can. In this case you can’t reduce, so the final answer is:

Example 2 – Divide: 
Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

Step 3: Simplify the powers of i, specifically remember that i2 = –1.

Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 5: Write you answer in the form a + bi.

Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:

Click Here for Practice Problems
Example 3 - Divide: 
Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

Step 3: Simplify the powers of i, specifically remember that i2 = –1.

Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 5: Write you answer in the form a + bi.

Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:

Click Here for Practice Problems
Example 4 - Divide: 
Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

Step 3: Simplify the powers of i, specifically remember that i2 = –1.

Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 5: Write you answer in the form a + bi.

Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:

Subtract the second equation from the first. 4x+3y = 17 (4x + y 9)
A. -8x = 26
B. 4y= 8
C. 8x = 26
D. 2y = 8
Answer:
D
Step-by-step explanation:
4x+3y -4x -y = 17 -9
<=> 2y =8
A boy standing between two pillars of equal height observes the angle of a
elevation of the top of pillars to be 30°. Approaching 15m towards any one
of the pillar, the angle of elevation is 45°. Find the height of the pillars and the distance between them
Answer:
15m
Step-by-step explanation:
did the math
If 120 learners took an examination, passes to fail is 17:3 : what percentage of learners passed
Answer:
85%
Step-by-step explanation:
First, let's add up the ratios and use it to divide 120. That way we can find out how many people each ratio is.
17 +3 = 20
120/20 = 6
Each individual ratio is equal to 6.
17 * 6 = 102
3 * 6 = 18
102/120 = percentage of who passed
= 0.85
85 percent of learners passed.
Which graph represents y as a function of x?
Answer:
A
Step-by-step explanation:
By vertical line test, if you draw any vertical line, except for A, all graph meet at more than two points. So, graph A represents y as a function of x.
For EASY BRAINLIEST!!!
Answer as many as you can !!
[tex](2x + 3)(2 {x}^{2} - x - 2)[/tex]
simplify this question
3p²q - 6pq² help me please .
3p²q - 6 pq²
3pq (p - 2q )
I think this is the solution
what is the value of k in which the expression k-22=13-61
Solve for x. Round to one decimal place
Answer:
x ≈ 27.2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 54°
Opposite Leg = 22
Hypotenuse = x
Step 2: Solve for x
Substitute in variables [sine]: sin54° = 22/x[Multiplication Property of Equality] Cross-multiply: x = 22/sin54°Evaluate: x = 27.1935Round: x ≈ 27.2What's the distance between the two points (0,-2) and (0,-9)
Evaluate: 5 + 2 • 42?
5 + ( 2 × 42 ) =
5 + 84 =
89
.....
.....
Answer:
89
Step-by-step explanation:
So we will follow PEMDAS in this exact order:
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction
5 + 2 • 42 Equation
5 + (2 • 42) We have no parentheses or exponents so we move on to multiplication
5 + 84 We have no division so we move on to addition
= 89 We have no subtraction so this is our final answer
Anyone know the answer to this please?
Answer:
140 degrees
Step-by-step explanation:
The center angle of a semi circumference is 180 degrees
BC 180 - 20 - 20 = 180 - 40 = 140 degrees
What is 1 1/8-3/4 also what is 3 5/8-2 7/8
Answer: 4.25
Step-by-step explanation: Conversion a mixed number 3 1/
8
to a improper fraction: 3 1/8 = 3 1/
8
= 3 · 8 + 1/
8
= 24 + 1/
8
= 25/
8
To find new numerator:
a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/
8
= 24/
8
b) Add the answer from previous step 24 to the numerator 1. New numerator is 24 + 1 = 25
c) Write a previous answer (new numerator 25) over the denominator 8.
Three and one eighth is twenty-five eighths
Conversion a mixed number 2 3/
8
to a improper fraction: 2 3/8 = 2 3/
8
= 2 · 8 + 3/
8
= 16 + 3/
8
= 19/
8
To find new numerator:
a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/
8
= 16/
8
b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19
c) Write a previous answer (new numerator 19) over the denominator 8.
Two and three eighths is nineteen eighths
Add: 25/
8
+ 19/
8
= 25 + 19/
8
= 44/
8
= 4 · 11/
4 · 2
= 11/
2
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 8 = 64. In the next intermediate step, , cancel by a common factor of 4 gives 11/
2
.
In words - twenty-five eighths plus nineteen eighths = eleven halfs.
Conversion a mixed number 1 1/
4
to a improper fraction: 1 1/4 = 1 1/
4
= 1 · 4 + 1/
4
= 4 + 1/
4
= 5/
4
To find new numerator:
a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/
4
= 4/
4
b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5
c) Write a previous answer (new numerator 5) over the denominator 4.
One and one quarter is five quarters
Subtract: the result of step No. 3 - 5/
4
= 11/
2
- 5/
4
= 11 · 2/
2 · 2
- 5/
4
= 22/
4
- 5/
4
= 22 - 5/
4
= 17/
4
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - eleven halfs minus five quarters = seventeen quarters.
Is -14 greater than less than or equal to -3
Answer:
less than is the correct answer
Given that a²+b²=34 and ab=15 , find the value of (a+b²).
Answer:
The numbers are 3 and 5
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
3^2=9
5^2=25
25+9=34
3*5=15
Answer:
64
Step-by-step explanation:
(a+b)²= a²+b²+2ab = 34+(2×15)= 64
A scatter plot is shown with the title Jordans Hot Chocolate Sales. The x axis is labeled High Temperature and the y axis is labeled Cups of Hot Chocolate Sold. Data points are located at 20 and 20, 30 and 18, 40 and 20, 35 and 15, 50 and 20, 45 and 20, 60 and 14, 65 and 18, 80 and 10, 70 and 8, 40 and 2.
Answer:
First Part;
As the temperature in the city increases, the number of cups of hot chocolate sold decreases
Second Part;
The approximate value of the slope in number of cups sold per change in temperature is -0.12222
The approximate value of the y-intercept is 20.944 degrees temperature
Step-by-step explanation:
Question;
First Part
What is the relationship between temperature in the city and the number of cups of hot chocolate sold, using your own words
Second Part
How can the line of best fit be made. Give the approximate values of the slope and the y-intercept of the line of best fit
Explanation
The data points are presented in the following table;
[tex]\begin{array}{lcl}x&&y\\20&&20\\30&&18\\40&&20\\35&&15\\50&&20\\45&&20\\60&&14\\65&&18\\80&&10\\70&&8\\40&&2\end{array}[/tex]
A scatter plot is formed from the given data using MS Excel
First part;
From the values of the number of cups sold, y, and the temperature at which they are sold, x, there is correlation between the x and y values, such that as the temperature increases, the number of cups sold decreases, the becomes more rapid as the temperature increases past 50, such that the reason for taking the hot chocolate decreases with increasing temperature
Second Part;
The line of best fit can be found using the least squares regression formula to draw a straight line from the regression equation as follows;
y = a + b·x
[tex]b = \dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }[/tex]
a = [tex]\bar y[/tex] - b·[tex]\bar x[/tex]
Where;
b = The slope
a = The y-intercept
From MS Excel, we have;
[tex]\bar y[/tex] = 15, [tex]\bar x[/tex] = 48.63636
[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) = -410[/tex]
[tex]\sum \left(x_i - \bar x\right )^2 = 3354.545[/tex]
Therefore;
[tex]b = \dfrac{-410}{3354.545} = -0.12222[/tex]
The approximate value of the slope, b = -0.12222 (number of cups sold per unit change in temperature)
a = 15 - (-0.12222)×48.63636 ≈ 20.944
The approximate value of the y-intercept, a = 20.944 (in degrees of temperature).
In converting 14 hours to minutes, what unit (omit the number) would you
place in the denominator of your ratio? Use the plural form in your answer.
Remember that there are 60 minutes in 1 hour.
Answer:
The unit I would place in the denominator of my ratio is minutes
Step-by-step explanation:
1 hour = 60 minutes
Converting 14 hours to minutes
= 14 hours/ x minutes = 1 hour /60 minutes
x minutes = 14 × 60 minutes
= 840 minutes
14 hours = 840 minutes
Therefore,
The unit I would place in the denominator of my ratio is minutes
Please answer quickly this is due today and I just can’t figure it all out!!
In Andrews furniture shop he build bookshelves and tables each type of furniture takes him about the same time to make he figures he has time to make at most 25 pieces of furniture this by the Saturday the material for each book shelf cost him $20 in a materials for each table cost and $45 he has $675 to spend on materials Andrew makes a profit of $60 on each bookshelf and a profit of $100 for each table how many of each piece of furniture should Andrew make to maximize his profit 1. write a system of inequalities that represents Andrews constraints explain what each of the inequalities represents you should have four inequalities
Answer:
A. You may set the variables in either order. But for argument sake, let's set as follows:
x = Amount of bookshelves
y = Amount of tables
B. Because of the amount of things you need to make, the following is an inequality using those variables.
x + y > 25
Plus you can determine a second inequality based on the amount of money that you have to spend.
20x + 45y < 675
Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.
C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.
(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you insist on rounding.
Step-by-step explanation: Good luck and hope this helps :)
En 4 días un hombre recorrió 120 km. Si cada día avanzó 1/3 de lo que anduvo el día anterior, en el segundo día recorrió.
Answer:
36 Km
Step-by-step explanation:
Por favor, encontrar el archivo adjunto
Which item on the diagram below of a circle, with center
0, represents a radius of the circle?
Answer:
The answer is DE
Step-by-step explanation:
I learned about it in school.
The radius of a circle with center O is DO. Therefore, option B is the correct answer.
Given that, a circle, with center O, represents a radius of the circle.
What is the circle?A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.
Radius of a circle is the distance from the center of the circle to any point on it's circumference.
Here, DO and OC is the radius of a circle with center O.
The radius of a circle with center O is DO. Therefore, option B is the correct answer.
To learn more about the circle visit:
https://brainly.com/question/11833983.
#SPJ2
What is the gradient of the line that passes through the points (4.2) and (0.4)
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
Gradient Formula= [tex]m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}[/tex]
[tex]y_{2}=4\\y_{1}=2\\x_{2}=0\\x_{1}=4[/tex]
[tex]=>\frac{4-2}{0-4}[/tex]
[tex]=> -\frac{1}{2}[/tex]
That's it. Hope that helped.
Randip had a balance of $86 in her checking account. She made deposits of $34 and $15. She then made withdrawals for $17 and $30. How much money does Randip now have in her account
Answer:
$88
Step-by-step explanation:
Randip's balance = initial deposit + sum of deposits - sum of withdrawals
sum of deposits = $34 + $15 = $49
sum of withdrawals = $17 + $30 = $47
$86 + $49 - $47 = $88
Answer:
88
Step-by-step explanation:
Solve for h
h(x)=a(x-h)^2+k
h(x)=x^2-8x+14
Answer:
h = 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
Given
h(x) = x² - 8x + 14
Express h(x) in vertex form by using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 8x
h(x) = x² + 2(- 4)x + 16 - 16 + 14
= (x - 4)² - 2
Compare to h(x) = (x - h)² + k , then
h = 4
Find the measure of the angle indicated. PLSASE HELP !!!!
Answer:
Step-by-step explanation:
3x + 4 + 8x + 4 = 140 degree (sum of two interior opposite angle is equal to the exterior angle formed)
11x + 8 = 140
x = 140 - 8
x = 132 /11
x = 12
angle S = 3x + 4
=3*12 + 4
=36 + 4
=40 degree
89 + 5x - 7 = 14x + 1
82 + 5x = 14x + 1
82 - 1 = 14x - 5x
81 = 9x
81/9 = x
9 = x
angle H = 5x - 7
=5*9 - 7
=45 - 7
=38 degree
Answer:
15. <SRJ+<SRT=180 (BEING IN A STRAIGHT LINE)
140+<SRT=180
<SRT=40
NOW
<SRT+<STR+<RST=180
40+8X+4+3X+4=180
11X=132
X=12
SUBSTITUTING THE VALUE OF X IN <RST
3*12+4=40
HENCE,<S=40 DEGREE
SIMILARLY,
16.
<H=38 DEGREE
how do I solve this?
Answer: I cant see the problem
Step-by-step explanation:
Answer:
Where is the question?
Step-by-step explanation:
1. Identify the following numbers as rational or irrational.
a. -15.4
b. 27/5
c. 0.99999....
d. V
Seven-ninths of the students surveyed like to participate in extra curricular activities after school. Which decimal is equivalent to the fraction of students
who like to participate in activities after school?
O 0.7
0.7
0.78
O 0.79
Answer:
0.7
Step-by-step explanation:
7/9 = 0.7
Answer:
0.7 (with the repeating sign on the 7)
Step-by-step explanation: