Answer:
see below
Step-by-step explanation:
A polynomial is a sum of terms, each of which is the product of a constant and some constellation of variables to integer non-negative powers. Anything with a variable in a denominator, a non-linear function such as absolute value, or square root (a fractional power) will <em>not</em> be a polynomial.
The constants in a polynomial may be rational or irrational. The polynomials we generally study are ones with real coefficients, but there is no reason why the coefficients could not be complex numbers.
The three consecutive odd numbers are x, x+2, x+4
add up: x+x+2+x+4=255
3x+6=255
3x=249
x=83
83, 85, 87
The dimensions of the bottom of the drawer are:
20 cm × 40 cm
So the area is : 800 cm² (rectangular shaped)
The area formula of a circle is:
r²
The diameter of the plate is 20cm
so the radius is half the diameter which is 10cm
Apply the given to the formula:
(10)²
100
314.16 cm²
2 plates in the bottom drawer
Area of two plates:
2 × 314.16
628.32 cm²
Area of the non-covered space in the bottom drawer:
Area of drawer - area of two plates
800 - 628.32
171.68 cm²
Answer:
The correct option is b. approximately 68% of the data falls within 1 standard deviation (+-1) of the mean
Explanation:
According to the empirical rule of normal distribution:
1. Approximately 68% of the data falls within 1 standard deviation 
of the mean
2. Approximately 95% of the data falls within 2 standard deviations 
of the mean
3. Approximately 99.7% of the data falls within 3 standard deviations 
of the mean.
Therefore, among the given options, only option b adheres to the empirical rule of the normal distribution. Therefore, the option b is correct
Answer:
Perimeter of the rectangle = 6 x +20
Perimeter of the rectangle = 0<em> x² + 6 x + 20</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the length of the rectangle = 2x +3
Given that the width of the rectangle = x +7
Perimeter of the rectangle = 2(length + width)
<u>Step(ii):-</u>
Perimeter of the rectangle = 2(length + width)
= 2(2 x +3 + x+7)
= 4x +6+2x+14
= 6 x +20
<u><em>Final answer:-</em></u>
Perimeter of the rectangle = 6 x +20
Perimeter of the rectangle = o x² + 6 x + 20
