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Consider this function for cell duplication where the cells duplicate every minute.

astraxan [27]

Answer:

A) The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute

Step-by-step explanation:

When x=0 (no minutes have elapsed), the value of the function is ...

f(0) = 75(2^0) = 75(1) = 75 . . . . the initial number of cells

As x increases by 1 (minute), the number of cells is multiplied by 2, so the 2 is the multiplier each minute. It indicates the number doubles. ("double" = "multiply by 2")

x is not defined, but for the function to make any sense, it must represent elapsed minutes.

3 0

2 years ago

An optical inspection system is used to distinguish among different part types. The probability of a correct classification of a

MAVERICK [17]

Answer:

Probability Mass Function:

x: 0 1 2 3

P(x): 0.000064 0.004608 0.115902 0.884736

Step-by-step explanation:

We are given the following information:

We treat correct classification as a success.

P(correct classification) = 0.96

Then the number of classification follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 3 and x = 0, 1, 2, 3

We have to evaluate:

$P(x = 0)\\= \binom{3}{0}(0.96)^0(1-0.96)^3\\=0.000064$

$P(x = 1)\\= \binom{3}{1}(0.96)^1(1-0.96)^2\\=0.004608$

$P(x = 2)\\= \binom{3}{2}(0.96)^2(1-0.96)^1\\=0.115902$

$P(x = 3)\\= \binom{3}{3}(0.96)^3(1-0.96)^0\\=0.884736$

PMF:

x: 0 1 2 3

P(x): 0.000064 0.004608 0.115902 0.884736

8 0

2 years ago

Which angles are corresponding angles?

Katena32 [7]

Corresponding angles are defined as angles that are on the same side of the transversal (given the lines are parallel, which they are) and are on the same side of the parallel lines. Choices D, E, and F are angles on the same side of the transversal and on the same side of the parallel lines.

:)

5 0

3 years ago

Read 2 more answers

The table shows the batting records for members of a softball team. Use the table to find each experimental probability.

Lerok [7]

Answer:

A. 20/31

B. 5/12

Step-by-step explanation:

A. P(Juanita hits) = 20/31

B. P(Su doesn't hit) = (24-14)/24 = 10/24 = 5/12

7 0

3 years ago

A figure skater needs a total score of at least 90 to move on to the next round. The total score is the average of four judges s

sukhopar [10]

90*4 = 360

so all the scores need to = 360 for a 90 average

83+88+92 = 263

360-263 = 97

minimum score is a 97

5 0

3 years ago