Answer:
9.72405%
Step-by-step explanation:
Binomial Probability
(N choose k) p^k (1-p)^(n-k)
N=7 seeds planted
p= 100% - 70% = 30% = 0.3 <--- we are interested in the plant NOT growing
(1-p) = 70% = 0.7 <--- 70% chance the plant will survive and grow
k=4 <--- we want four of them to fail
The probability is:
(7 choose 4) * (0.3)^4 (0.7)^3 =
7!/(4!3!) (0.3)^4 (0.7)^3 =
(7*6*5/3*2) (0.3)^4 (0.7)^3 =
7*5 (0.3)^4 (0.7)^3 =
35 * 0.0081 * 0.343 = 0.0972405 = 9.72405%
Find b of y = mx + b first using a modified version of the equation.
b = y - mx
b = -1 -(1.2×-3)
b = 13/5 = 2.6
y = 1.2x + 2.6 ← result of substituting values of m and b into y = mx + b
-1.2x + y = 2.6 ← result of subtracting 1.2x from both sides
12x - 10y = -26 ← result of multiplying previous equation by -10
6x - 5y = -13 ← result of dividing previous equation by 2
ANSWER: 6x - 5y = -13
Answer:
10200
Step-by-step explanation:
This is an example of a compound interest. The equation for this problem is 10000*(1+2/100)^n. The n is the year as 1999 is 1 year away from 1998, you just replace n with 1 and you have a simple equation.
Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Part 5) 
Part 6) 
Step-by-step explanation:
Part 1) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle
The area of rectangle is equal to

where
b is the base of rectangle
h is the height of rectangle
so



Part 2) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior square
The area of square is equal to

where
b is the length side of the square
so



Part 3) we know that
The area of the shaded region is equal to the area of four rectangles plus the area of one square
so



Part 4) we know that
The shaded region is equal to the area of the complete square minus the area of the interior square
so



Part 5) we know that
The area of the shaded region is equal to the area of triangle minus the area of rectangle
The area of triangle is equal to

where
b is the base of triangle
h is the height of triangle
so



Part 6) we know that
The area of the shaded region is equal to the area of the circle minus the area of rectangle
The area of the circle is equal to

where
r is the radius of the circle
so

