Elizabeth brought a box of donuts to share. there are two-dozen (24) donuts in the box, all identical in size, shape, and color. two are jelly-filled, 5 are lemon-filled, and 17 are custard-filled. you randomly select one donut, eat it, and select another donut. find the probability of selecting a jelly-filled donut followed by a custard-filled donut.

The probability is 6.16%.

Step-by-step explanation:

Total number of donuts = 24

Number of jelly filled donuts = 2

Number of lemon filled donuts = 5

Number of custard filled donuts = 17

The probability of selecting a jelly-filled donut = = 0.0833

And probability followed by custard-filled donut = = 0.7391 (23 because you ate 1 donut already)

Hence, the required probability is :

or 6.156% ≈ 6.16%

answer is 144

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