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Maru [420]
3 years ago
5

Reasoning in a laboratory, the probability a bacterial colony thrives is 70%. The numbers 0 to 6 represent the outcome that a co

lony thrives. The numbers 7 to 9 represent the outcomes that a colony does not thrive. The list of random numbers simulates the out comes of 4 colonies . Based On the simulation in 6 trails . what is the probability that exactly half of the colonies will thrive.
4285 6903 3829 7871 2868 5137
Mathematics
1 answer:
Maurinko [17]3 years ago
3 0

Answer:

The probability that exactly half of the colonies will thrive = (1/3) = 0.3333

Step-by-step explanation:

The list of random numbers simulates the out comes of 4 colonies.

Based On the simulation in 6 trails, what is the probability that exactly half of the colonies will thrive?

The probability of an event is given mathematically as the number of elements in the event divided the total number of elements in the sample space.

Noting that the numbers 0 to 6 indicate that a colony thrives and the number 7 to 9 represent that a colony doesn't thrive.

The 6 trials are given as

4285; 3 colonies thrive, 1 doesn't.

6903; 3 colonies thrive, 1 doesn't.

3829; 2 colonies thrive, 2 don't.

7871; 1 colony thrives, 3 don't.

2868; 2 colonies thrive, 2 don't.

5137; 3 colonies thrive, 1 doesn't.

The number of trials where exactly 2 colonies thrive = 2

The total number of trials = 6

The probability that exactly half of the colonies will thrive = (2/6) = (1/3) = 0.3333

Hope this Helps!!!

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8 0
3 years ago
Not sure how to do this. i always struggle with proofs.
nlexa [21]

Answer:

Statement: angle QAU congruent to angle KAC

Reasoning: vert. angle congruenct thm

S: angle U congruent to angle C

R: Alt. Int. Angle Thm

S: Triangle QUA similar to Triangle KCA

R: AA Sim. Thm

Step-by-step explanation:

Practice a lot of proofs and you'll start seeing a pattern in them and it will become way easier.

5 0
3 years ago
What’s one message you would tell your ex if you miss him/her a girl is heartbroken here get me in my feels XD
aalyn [17]

Answer:

Sadly all my exes were horrible and cheated on me however, I will tell you what I would say if I lost my current partner

Step-by-step explanation:

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6 0
3 years ago
If the area of a triangle is 140 inches and the height is 20 inches how wide is the house ?
m_a_m_a [10]

Answer:

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3 0
3 years ago
Plwees help:)
Klio2033 [76]
Answer #1- 8 mins
Answer #2-$0.571

Explanation for #1:

For this first equation you need to find 1 mike per ___ minutes. To get from 10 to 1, you need to divide by 10. This can also be put into this equation—

10x=80

So, to find how many minutes for each mile, divide 80 by 10. This will result in 8. This means that Dan ran 1 mile in 8 minutes.


Explanation for #2:

For this next one we see that we need to find how much Yoko spent on each pound of rice.

Since we are trying to find 1 pound of rice per ___ dollars, we need to divide both 14 and 8 by 14. This can also be put into this equation—

14x=8

Once this is done we know that 1 pound of rice is equal to 0.571428571428571 cents. But, since you are required to round to the nearest hundredth, the answer will only be $0.571.

Hope this helps comment below for more questions :)
7 0
3 years ago
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