This is the order you need to use to solve this problem: PEMDAS
(Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)
So you start with P and make your way down to S
(2x + 3)(x - 6) - 2x² + 3x + 30 First multiply (2x + 3)(x - 6) (distribute)
(2x)x - (2x)6 + (3)x - (3)6 = 2x² - 12x + 3x - 18 = 2x² - 9x - 18
(2x²- 9x - 18) - 2x² + 3x + 30 Simplify by combining like terms
-6x + 12
Sixty square root five (simplified) There ya go hope it helps
Answer:
Option A is correct.
y = 35.4 bushels per acre when rainfall = 7.1 inches
Step-by-step explanation:
An image of the steps to obtain the equation that relates x to y is attached to this answer.
n = number of variables = 9
μₓ = mean of variable x (rainfall in inches)
μᵧ = mean of variable y (yield in bushels per acre)
σₓ = standard deviation of variable x (rainfall in inches)
σᵧ = standard deviation of variable y (yield in bushels per acre)
y = 4.379x + 4.268
when x = 7.1
y = 4.379(7.1) + 4.268 = 35.3589 = 35.4 bushels per acre.
Cos(x)= adjacent/hypotenuse
cos(18)=x/25 (cross multiply)
25*cos(18)=x
x= 23.78 cm <--- this is rounded to the nearest hundredth.
Answer:
<u>1. Mean = 342.7 (Rounding to the nearest tenth)</u>
<u>2. Median = 167.5 </u>
<u>3. Mode = There isn't a mode for this set of numbers because there isn't a data value that occur more than once. </u>
Step-by-step explanation:
Given this set of numbers: 107, 600, 115, 220, 104, 910, find out these measures of central tendency:
1. Mean = 107 + 600 + 115 + 220 + 104 + 910/6 = <u>342.7</u> (Rounding to the nearest tenth)
2. Median. In this case, we calculate it as the average between the third and the fourth element, this way:
115 + 220 =335
335/2 = <u>167.5 </u>
3. Mode = <u>There isn't a mode for this set of numbers because there isn't a data value that occur more than once. All the data values occur only once.</u>
