Mindy has a bag of coins. The bag contains 8 dimes, 5 nickels, and 3 pennies. She will randomly select 2 coins from the bag one at a time without replacement.
What is the probability that Mindy will select a dime first and then, without
replacing it, a nickel?

SHOW WORK!

1/6

Step-by-step explanation:

The probability of the dime being pulled first is 8/16 or 1/2

After the dime is pulled, the probability of the nickel being pulled is 5/15 or 1/3

Multiply 1/2 and 1/3 to get 1/6

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