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Step-by-step explanation:

After a red 3, the highest possible sum is 3 + 6 = 9.

So P(sum ≥ 10) = 0 after a red 3 has occurred.

There are 5 ways the sum can be greater than or equal to 10 (4 and 6, 6 and 4, 5 and 5, 5 and 6, 6 and 5).  There are a total of 36 possible permutations.  Therefore:

P(sum ≥ 10) = 5/36

The conditional probability is:

P(sum ≥ 10 | red 3) = P(sum ≥ 10 AND red 3) / P(red 3)

P(sum ≥ 10 | red 3) = 0 / (1/6)

P(sum ≥ 10 | red 3) = 0

1.3 million hoops i believe

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