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zlopas [31]
3 years ago
9

Kale works in a packaging factory that has 900 employees. By the end of each day, they manage to package 3.2 × 105 products. Wha

t is the average amount of products packaged per employee represented in scientific notation? Round so the first factor goes to the tenths place.
A.
0.36 × 103 products
B.
3.6 × 102 products
C.
0.36 × 102 products
D.
3.6 × 103 products
E.
3.6 × 104 products​
Mathematics
2 answers:
Orlov [11]3 years ago
8 0

Answer:

Option B is the correct answer.

Step-by-step explanation:

Kale works in a packaging factory that has 900 employees.

By the end of each day, they manage to package 3.2 × 10^{5} products.

The average amount of products packaged per employee =

\frac{\text{total packaged products}}{\text{number of employees}}

= \frac{(3.2)(10^{5}) }{900}=(0.00355)(10^{5} )

= 3.6 × 10² products

Option B is the correct answer.

morpeh [17]3 years ago
4 0

Answer:

E.  

3.6 × 104 products​

Step-by-step explanation:

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Answer:

B) 0.287

Step-by-step explanation:

For each Coffeeton resident, there are only two possible outcomes. Either they recognize the brand name, or they do not. The probability of a resident recognizing the brand name is independent of other residents. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

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This means that p = 0.53

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This is P(X = 4) when n = 7. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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So the anwer is:

B) 0.287

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