Answer:
A = 3x³ - 22x² + 30x - 36
Step-by-step explanation:
Area of a Rectangle: A = lw
Step 1: Define
l = 3x² - 4x + 6
w = x - 6
Step 2: Substitute and Evaluate
A = (3x² - 4x + 6)(x - 6)
A = 3x³ - 4x² + 6x - 18x² + 24x - 36
A = 3x³ - 22x² + 30x - 36
The frequency of the second class is 6.
Since the class width is 6 and the lower limit of the first class is 50, this means the first class goes from 50-55. This would put the second class at 56-61. There are 6 data points in this set that would go in the second class.
Answer:
Total number of marbles = 10+20+30 = 60 out of which 20 are blue.
Probability of first marble being blue = 20/60
Probability of second marble being blue = 19/59
Probability of third marble being blue = 18/58
Probability of fourth marble being blue = 17/57
Probability of fifth marble being blue = 16/56
So probability of all marble being blue when five marbles are drawn from the box = (20/60)*(19/59)*(18/58)*(17/57)*(16/56) = 34/11977 = 0.00283877432
Step-by-step explanation:
Answer:
The equations in the slope-intercept form
y = - 2 x + 5
y = - 2 x + 3
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
- m is the slope of the line.
To put any equation in the slope-intercept form state y on the left side, x and the numerical term on the right side, the coefficient of y must be 1.
Let us do that with the given equations
∵ 2x + y = 5
→ Subtract 2x from both sides to move x to the right sides
∴ 2x - 2x + y = 5 - 2x
∴ y = 5 - 2x
→ Switch 5 and - 2x
∴ y = - 2x + 5
∵ 3y = 9 - 6x
→ Divide each term by 3 to make the coefficient of y = 1
∴ 
∴ y = 3 - 2x
→ Switch 3 and - 2x
∴ y = - 2x + 3
The equations in the slope-intercept form
y = - 2x + 5
y = - 2x + 3