Answer:
Pr(all will survive in one year) = 0.35 to 2 decimal places
Pr(at least 8 will survive) = 0.39 to 2 decimal places.
Step-by-step explanation:
Probability of a tree surviving one year is 0.9. While not surviving probability is 1 - 0.9 = 0.1
This is obtained from the 90℅ surviving rate for one year planted by the landscaping firm.
Probability that if 10 trees are planted, all will survive for one year is:
0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9 = 0.9^10 = 0.349
Probability that at least 8 will survive in one year can be expressed as
8 survived x 2 not survived +(or) 9 survived x 1 not survived +(or) 10 survived
= [(0.9^8)x(0.1^2) + (0.9^9)x(0.1^1) + (0.9^10)] = 0.391
Step-by-step explanation:
Y = 168° [ Because opposite angles are equal ]
x = 5x - 48 [ Because opposite angles are equal ]
4x = 48
x = 12°
Hello from MrBillDoesMath!
Answer: The relationship is linear. The equation is y = 2x + 19
Discussion:
When x changes from -7 to -5 ( and increment of of +2), y changes from 5 to 9 ( an increment of +4). When x changes from 5 to -3 (an increment of +2) , y changes from 9 to 13 (an increment of +4)... and so on.....
So far, when x changes by 2, y changes by 4. This means the data falls on a line (so is linear). In fact,
(change in y) / (change in x) = 4/2 = 2 = slope of line.
so y = 2x + b. As the line passes through the point ( -7, 5)
5 = 2 (-7) + b or
5 = -14 + b or ( adding 14 to both sides)
5 + 14 = 19 = b.
Hence the equitation the line is y = 2x + 19
Thank you,
MrB
Answer:
8/x = x/20
x^2=160
x=sqrt(160)
x=sqrt(16*10)
x=sqrt(16)*sqrt(10)
x=4*sqrt(10)
Step-by-step explanation:
