Clayton places tiles that spell the word time in a bowl. he draws one tile from the bowl and then without replacing it, draws another tile. what is the sample space of the event representing the letters picked in the two draws? {t-i, t-m, t-e, i-m, i-e, m-e} {t-i, t-m, t-e, i-t, i-m, i-e, e-t, e-m, e-i, m-i, m-t, m-e} {t-i, t-t, t-e, i-t, i-i, i-e, e-t, e-m, e-e, m-t, m-m, m-e} {t-i, t-m, t-e, t-t, i-t, i-m, i-e, i-i, e-t, e-m, e-i, e-e, m-t, m-t, m-e, m-m}

The sample space of events that represent the picking out of letters at two draw without replacing is:

     {T-I, T-M, T-E, I-T, I-M, I-E, E-T, E-M, E-I, M-I, M-T, M-E}

Step-by-step explanation:

Since, there are four choice of drawing a first tile:

             T     I     M     E

and now:

                        T-I    T-M     T-E

(T-T is not possible since there is no replacement of first tile )

                      I-T     I-M     I-E

(I-I is not possible since there is no replacement of first tile )

                     M-T     M-I    M-E

(M-M is not possible since there is no replacement of first tile )

                         E-T     E-I      E-M    

(E-E is not possible since there is no replacement of first tile )

Hence, total outcomes are:

      {T-I, T-M, T-E, I-T, I-M, I-E, E-T, E-M, E-I, M-I, M-T, M-E}

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

b. hannah is playing with her cousin at