Mathematics, 13.09.2019 01:30 tylermdons

Abatch contains 37 bacteria cells. assume that 12 of the cells are not capable of cellular replication. six cells are selected at random, without replacement, to be checked for replication. round your answers to four decimal places (e. g. 98.7654). (a) what is the probability that all six cells of the selected cells are able to replicate? (b) what is the probability that at least one of the selected cells is not capable of replication?

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Answer from: danjan9084

a) There is a 9.52% probability that all cells are able to replicate.

b) There is a 90.48% probability that at least one cell is not capable of replication.

Step-by-step explanation:

This is a probability problem.

Probability

What you want to happen is the desired outcome.

Everything that can happen iis the total outcomes.

The probability is the division of the number of possible outcomes by the number of total outcomes.

In our problem, there is:

-A $\frac{25}{37} = 0.6757 = 67.57%$ probability that a cell is capable of replication.

-A $\frac{12}{37} = 0.3243 = 32.43%$ probability that a cell is not capable of replication.

(a) What is the probability that all six cells of the selected cells are able to replicate?

For each cell, there is a 67.57% probability that it is able to replicate. So, the probability that all cells are able to replicate is

$P = (0.6757)^{6} = 0.0952 = 9.52%$

(b) What is the probability that at least one of the selected cells is not capable of replication?

-Either all cells are capable of replication or at least one cell is not capable of replication.

-The sum of the probabilities is always 100%.

In (a), we found that the probability that all cells are able to replicate is 9.52%. So the probability of at least one cell not being capable of replication is

P = 100% - 9.52% = 90.48%

Answer from: Quest

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get $6x^{2} -3x$

and solving the given expression :

3x(2x-1)

$6x^{2} -3x$

since solving the expression using tiles and solving the expression algebraically we get the same answer

thus we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

Which is true regarding armando’s use of algebra tiles? he used the algebra tiles correctly. he did

Answer from: Quest

Polar coordinates is 8,9

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Abatch contains 37 bacteria cells. assume that 12 of the cells are not capable of cellular replicati...