Rocket is set to launch from the space station. NASA reports at most a

17/24

chance that the launch will be able to take place. Which of the following could correctly represent this information? Select all that apply.

Group of answer choices

There is a is 82% chance the rocket will launch.

There is a 0.58 chance the rocket will launch.

There is a 2/3 chance the rocket will launch.

There is a 0.72 chance the rocket will launch.

There is a 68% chance the rocket will launch.

step-by-step explanation:

150.6

all i did was i multiplied 5.02 by 30

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0