For the month of june in a certain city, 41% of the days are cloudy. also in the month of june in the same city, 21% of the days are cloudy and rainy. what is the probability that a randomly selected day in june will be rainy if it is cloudy?

0.5122 or 51.22%

Step-by-step explanation:

In a certain city, in June Probability of cloudy days = P(cloudy) = 0.41

Probability of cloudy and rainy = P(cloudy and rainy) = 0.21

Probability of rainy if we already know it is cloudy =

= = 0.512195122 ≈ 0.5122

Therefore, the probability that a randomly selected day in June will be rainy if it is cloudy is 0.5122 or 51.22%

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25