If a seed is planted, it has a 65% chance of growing into a healthy plant. if 8 seeds are planted, what is the probability that exactly 1 doesn't grow?

Chance of seed growing into healthy plant:  0.65

Chance of seed NOT growing into a healthy plant:  0.35

To answer this question, we will use the nCr button on the calculator.

In this situation, n = 8   and r = 1.

If 1 seed doesn't grow, then 7 seeds will grow. So will raise 0.65 to the 7th power and 0.35 to a power of 1

7 seeds grow, so we use the 7th power

1 seed doesn't grow, so we use power 1 :

So the answer is:

⁸C₁ × (chance of successful growth)⁷ x (chance of Unsuccessful growth)¹

= ⁸C₁ × 0.65⁷ × 0.35¹

= 0.137   (3sf)

Probability that exactly one seed doesn't grow is:

0.137

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )