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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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2 years ago
What is the distance between (5,-1) and (5,4)?
Alex_Xolod [135]

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D

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The first number in each co-ordinate is the same so -1 plus 4 is 5 units

5 0
3 years ago
Find the area of the shaded region for the given figure in terms of x.
Vlada [557]

Answer:

Area of the shaded region = (6x + 3)

Step-by-step explanation:

Area of the shaded region = Area of the large rectangle - Area of the small rectangle

Area of the large rectangle = Length × Width

                                             = (x + 2)(x + 2)

                                             = (x + 2)²

                                             = x² + 4x + 4

Area of the small rectangle = (x - 1)(x - 1)

                                             = (x - 1)²

                                             = x² - 2x + 1

Area of the shaded region  = (x² + 4x + 4) - (x² - 2x + 1)

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Area of the shaded region = (6x + 3)

4 0
3 years ago
Use the grouping method to factor the polynomial below completely.<br> x3 + 2x + 5x + 10
In-s [12.5K]

Answer:

your answer to that is D hope that helps

4 0
2 years ago
I need answers for both of these thank U guys
zmey [24]
A and e are congruent so e is 105 since h and e make a line they will add up to 180
180=105+h
H= 75
If the triangles are similar then
8~y and 6~9 divide 9 by 6 to get the scale factor this is how much the triangle enlarges by or shrinks by
9/6= 1.5 now that you know the scale factor you can find y y/8=1.5
Y= 12
4 0
3 years ago
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