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Elena-2011 [213]
3 years ago
13

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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The price of Veronica’s meal before tax and tip was $11.92. Veronica paid 8% tax, then added a 15% tip to the total. To the near
Alecsey [184]

Answer:

$14.80

Step-by-step explanation:

The price of Veronica's meal before tax and tip was $11.92. Veronica paid 8% tax, then added a 15% tip to the total

8 0
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

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)

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

P(X = 16) = C_{20,16}.(0.75)^{16}.(0.25)^{4} = 0.1897

P(X = 17) = C_{20,17}.(0.75)^{17}.(0.25)^{3} = 0.1339

P(X = 18) = C_{20,18}.(0.75)^{18}.(0.25)^{2} = 0.0669

P(X = 19) = C_{20,19}.(0.75)^{19}.(0.25)^{1} = 0.0211

P(X = 20) = C_{20,20}.(0.75)^{20}.(0.25)^{0} = 0.0032

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1897 + 0.1339 + 0.0669 + 0.0211 + 0.0032 = 0.4148

c. If you call 22 times, what is the mean number of calls that are answered in less than 30 seconds? Round your answer to the nearest integer.

The expected value of the binomial distribution is:

E(X) = np

In this question, we have n = 22

So

E(X) = 22*0.75 = 16.5

The closest integer to 16.5 is 17.

7 0
3 years ago
4. A rectangular field has a perimeter of 300m. What is the area of the field if the length of
USPshnik [31]

Answer:

Step-by-step explanation:

5 0
3 years ago
Answer I will mark your brainlist
yan [13]

Answer:

Mark C.

Step-by-step explanation:

If there are 27 students in both classes, it's logicial to multiply both classes by two to get the total students.

Since the <em>S</em> stands for the students absent, that should come after the brackets.

3 0
3 years ago
Homework due at 12:00<br> I Need Help
Leya [2.2K]

Answer:

<em>k = - 7.5 </em>

Step-by-step explanation:

Slope "m" of a line through points

( x_{1} , y_{1} )

( x_{2} , y_{2} )

is m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

Slopes of perpendicular lines are opposite reciprocal: m_{1} m_{2} = - 1

~~~~~~~~~~~~~~~

The slope of a line through points (0, 7) and (2, 10)

m_{1} = \frac{10-7}{2-0} = \frac{3}{2}

Slope of perpendicular line through points (3, 5) and (k, 12) is m_{2} = -\frac{2}{3}

or m_{2} = \frac{12-5}{k-3}

\frac{7}{k-3} = -\frac{2}{3}

2(k - 3) = - 21

k - 3 = - 10.5

<em>k = - 7.5</em>

6 0
3 years ago
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