The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?14
16
18
20
Answers
Let
S------> The sum of the measures of the interior angles of a polygon
n-------> number of sides of a polygon
we know that
The formula to find the sum of the measures of the interior angles of a polygon is equal to
°
in this problem
°
Solve for n
therefore
the answer is
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Evaluate the cube of a fraction number (4/7)3
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Alessandro wrote the quadratic equation –6 = x2 4x – 1 in standard form. what is the value of c in his new equation?
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Answer:
She bought 23
Step-by-step explanation
Divide $8.80 by 8 take that and multiply it by 23 and you get $25.30
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The option that would guarantee a simple random sample would be that giving each employee a uniquenumber from 1 to 250 and randomly selecting 50 people to take the survey. That is option C.
What is simple random sampling?
Simple random sampling can be defined as a type of probability sampling where each member of the population has an equal chance of being selected for the sample.
The process of simple random sampling is quite simple: every member of the population is assigned a unique number, and then a random number generator is used to select participants.
This ensures that each member of the population has an equal chance of being selected for the sample.
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Answer:
b
Step-by-step explanation:
Answers
y = -3x + 2
y = -3x + 4
-3x + 2 = -3x + 4
2 ≠ 4
Answers
let the two numbers be x and y.
Multiply to 44. x*y = 44 ..........(a)
Add up to 12. x + y = 12 .........(b)
From (b)
y = 12 - x .......(c)
Substitute (c) into (a)
x*y = 44
x*(12 - x) = 44
12x - x² = 44
-x² + 12x = 44
-x² + 12x - 44 = 0.
Multiply both sides by -1
-1(-x² + 12x - 44) = -1*0
x² - 12x + 44 = 0.
This does not look factorizable, so let us just use quadratic formula
comparing to ax² + bx + c = 0, x² - 12x + 44 = 0, a = 1, b = -12, c = 44
x = (-b + √(b² - 4ac)) /2a or (-b - √(b² - 4ac)) /2a
x = (-(-12) + √((-12)² - 4*1*44) )/ (2*1)
x = (12 + √(144 - 176) )/ 2
x = (12 + √-32 )/ 2
√-32 = √(-1 *32) = √-1 * √32 = i * √(16 *2) = i*√16 *√2 = i*4*√2 = 4i√2
Where i is a complex number. Note the equation has two values. We shall include the second, that has negative sign before the square root.
x = (12 + √-32 )/ 2 or (12 - √-32 )/ 2
x = (12 + 4i√2 )/ 2 (12 - 4i√2 )/ 2
x = 12/2 + (4i√2)/2 12/2 - (4i√2)/2
x = 6 + 2i√2 or 6 - 2i√2
Recall equation (c):
y = 12 - x, When x = 6 + 2i√2, y = 12 - (6 + 2i√2) = 12 - 6 - 2i√2 = 6 - 2i√2
When x = 6 - 2i√2, y = 12 - (6 - 2i√2) = 12 - 6 + 2i√2 = 6 + 2i√2
x = 6 + 2i√2, y = 6 - 2i√2
x = 6 - 2i√2, y = 6 + 2i√2
Therefore the two numbers that multiply to 44 and add up to 12 are:
6 + 2i√2 and 6 - 2i√2
No solutions in real numbers.
In complex numbers:
These numbers are
Answers
Answer:
23123
Step-by-step explanation:
Answers
The difference between the greatest and lowest numbers in a piece of data is the range. The range of the given data set {6, 9, 9, 12, 18, 24, 24, 24, 37} is 31.
What is the range?
The difference between the greatest and lowest numbers in a piece of data is the range. The difference here is that the range of a set of data is determined by subtracting the sample maximum and minimum.
The range of the given data set {6, 9, 9, 12, 18, 24, 24, 24, 37} is,
37-6 = 31
Hence, The range of the given data set {6, 9, 9, 12, 18, 24, 24, 24, 37} is 31.
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6,9,9,12,18,24,24,24,37
Then subtract the least number from the greatest number.
37-6=31
So your answer is 31.