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Orlov [11]
3 years ago
6

Reduce the fraction to lowest terms. 38x^2yz^2/ -19 yz^2z^3

Mathematics
1 answer:
Elenna [48]3 years ago
3 0
Hope this is helpful.

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A box of Georgia peaches has 3 bad and 12 good peaches. (a) If you make a peach cobbler of 12 peaches randomly selected from the
Eddi Din [679]

Answer:

a) 0.21% probability that there are no bad peaches in the peach cobbler.

b) 99.79% probability of having at least 1 bad peach in the peach cobbler

c) 7.91% probability of having exactly 2 bad peaches in the peach cobbler.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the peaches are chosen is not important. So the combinations formula is used to solve this question.

Combinations formula:

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)!}

(a) If you make a peach cobbler of 12 peaches randomly selected from the box, what is the probability that there are no bad peaches in the peach cobbler?

Desired outcomes:

12 good peaches, from a set of 12. So

D = C_{12,12} = \frac{12!}{12!(12 - 12)!} = 1

Total outcomes:

12 peaches, from a set of 15. So

T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455

Probability:

p = \frac{D}{T} = \frac{1}{455} = 0.0021

0.21% probability that there are no bad peaches in the peach cobbler.

(b) What is the probability of having at least 1 bad peach in the peach cobbler?

Either there are no bad peaches, or these is at least 1. The sum of the probabilities of these events is 100%. So

p + 0.21 = 100

p = 99.79

99.79% probability of having at least 1 bad peach in the peach cobbler

(c) What is the probability of having exactly 2 bad peaches in the peach cob- bler?

Desired outcomes:

2 bad peaches, from a set of 3.

One good peach, from a set of 12.

D = C_{3,2}*C_{12,1} = \frac{3!}{2!(3-2)!}*\frac{12!}{1!(12 - 1)!} = 36

Total outcomes:

12 peaches, from a set of 15. So

T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455

Probability:

p = \frac{D}{T} = \frac{36}{455} = 0.0791

7.91% probability of having exactly 2 bad peaches in the peach cobbler.

3 0
3 years ago
What is the decimal expansion of the fraction 7/9
lys-0071 [83]
0.7777777778
don't you have calculators or internet, you could easily find your question on internet 
6 0
3 years ago
Read 2 more answers
Graphs of more than one function f(4)=<br> If g(x)=2,x=
Mamont248 [21]

Answer:

f(4)= 11

If g(x)=2, x=0

5 0
2 years ago
Se hizo un estudio entre los estudiantes de Licenciatura en ingeniería de software y sistemas computacionales, a 40 de estos est
chubhunter [2.5K]
Ok I just got off the work with and my my phone phone is died I have got to to get get up up ok ok
3 0
2 years ago
Each vertical cross-section of the triangular
Blizzard [7]

Answer:

The vertical height is h=3\ units

Step-by-step explanation:

we know that

In the right triangle ABC

see the attached figure

To find the height h apply the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

we have

c=AB=3\sqrt{2}\ units

a=BC=6/2=3\ units

b=AC=h\ units

substitute

(3\sqrt{2})^{2}=3^{2}+h^{2}

18=9+h^{2}

h^{2}=18-9=9

h=3\ units

3 0
2 years ago
Read 2 more answers
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