A survey of high school juniors found that 82% of students plan on attending college. If you pick three at random, what is the probability that at least two plan on attending college? Round to the nearest percent.
I answered the question incorrectly, thinking it was 36% but the correct answer was 91%. Can someone please tell me what I did wrong and what is the rule or process I need to take. The book never showed me any other way to solve this just this: P(x) = nCx P^x q^n-x, I just want to learn the right way to avoid mistakes again for the upcoming test.
Please and thank you

91%

You forgot to add 'all three'

Step-by-step explanation:

X ~ B(3, 0.82)

q = 1 - 0.82 = 0.18

Atleast 2 means:

X = 2, or 3

3C2(0.82)²(0.18) + 3C3(0.82)³(0.18)⁰

= 0.363096 + 0.551368

= 0.914464

= 91.4464%

answer: at first, in 1635, the evening meetings had been just for women . .

what relationship between ideas is shown in the text above?

question 1 options:

location of events

similarity of events

timing of events

examples of an idea

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places