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3 years ago

Tara baked 6 1/2 dozen cookies. She sold 3 2/6 dozen of the cookie she made. How many dozens of cookies does Tara have remaining

Mathematics

2 answers:

Bess [88]3 years ago

4 0

Tara baked 78 cookies in total because 6x12+6=78 or 72 6/12 and sold 36 4/12 so she has 24 cookies left hope this helps

djyliett [7]3 years ago

3 0

One dozen has 12 units.

So 6 and a half dozen shall have 6.5 ×12 = 78 cookies.

She sold

$3\frac{2}{6} =3\frac{1}{3} =\frac{10}{3}$ dozens

So cookies she sold

= $=\frac{10}{3} (12) = \frac{120}{3} =40$

Number of cookies left = 78 - 40 = 38

So 38 cookies

$=\frac{38}{12} =\frac{19}{6} =3\frac{1}{6}$

Tara is left with $3\frac{1}{6}$ dozens

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Alecsey [184]

Answer:

$14.80

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3 years ago

The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen

vfiekz [6]

Answer:

a) 0.2581

b) 0.4148

c) 17

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$p = 0.75$

a. If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X = 9)$ when $n = 12$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{12,9}.(0.75)^{9}.(0.25)^{3} = 0.2581$

b. If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X \geq 16)$ when $n = 20$