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Setler79 [48]
3 years ago
9

A chef draws cookies randomly from a box containing 6 cookies of the same shape and size. There is 1 chocolate cookie, 3 almond

cookies, and 2 butter cookies. He draws 1 cookie and then draws another cookie without replacing the first one. Find the probability of picking 1 almond cookie followed by another almond cookie, and show the equation used.
Mathematics
1 answer:
Anon25 [30]3 years ago
8 0
First there was a 3/6 or 50% chance of getting an almond cookie. (3 out of 6 cookies are almond) then, it became a 2/5 or 40% chance of getting an almond cookie. (2 out of 5 cookies are almond) multiple 3/6 by 2/5 and you get 6/30 which can be simplified to 1/5.
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2 years ago
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.
Vesna [10]

Answer:

b. an = 2 • (-3)^(n - 1)

Step-by-step explanation:

Before we test a solution or two, we can easily discard most of them.

We see the values alternate of signs (-5 for the 2nd term and +162 for the 5th term)... so the progression factor has to be negative (in order to alternate sign).  <u>That already excludes answers A and C.</u>

Normally, a geometric progression has the (n-1) exponent, not (n+1), so our chances seem to be better with B.

We can test both D and B with n = 2, to obtain -6

Let's test answer D before:

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Let's test answer B then:

a_{2} = 2 * (-3)^{2-1} =  2 * (-3)^{1} = 2 * -3 = -6

Right!  Let's verify with n=5 to get 162:

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