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skelet666 [1.2K]
3 years ago
12

What is the pattern in the values as the exponents increase?

Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0

Answer:

Option D is correct.

Step-by-step explanation:

We need to find the pattern in the values as the exponents increase.

First value is 1/3

if we multiply 3 with 1/3 i.e. 1/3*3 we get 1

The next value is 1 in the table.

Now, if we multiply 1 with 3 i.e. 1*3 we get 3

The next value is 3 in the table.

Now, if we multiply 3 with 3 i.e 3*3 we get 9

So, the next value is 9 in the table.

So, if we multiply 3 with the previous value we get the next value in the table.

Hence Option D multiply the previous value by 3 is correct.

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A corporation has 11 manufacturing plants. Of these, seven are domestic and four are outside the United States. Each year a perf
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Answer:

The probability that a performance evaluation will include at least one plant outside the United States is 0.836.

Step-by-step explanation:

Total plants = 11

Domestic plants = 7

Outside the US plants = 4

Suppose X is the number of plants outside the US which are selected for the performance evaluation. We need to compute the probability that at least 1 out of the 4 plants selected are outside the United States i.e. P(X≥1). To compute this, we will use the binomial distribution formula:

P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ

where n = total no. of trials

           x = no. of successful trials

           p = probability of success

           q = probability of failure

Here we have n=4, p=4/11 and q=7/11

P(X≥1) = 1 - P(X<1)

          = 1 - P(X=0)

          = 1 - ⁴C₀ * (4/11)⁰ * (7/11)⁴⁻⁰

          = 1 - 0.16399

P(X≥1) = 0.836

The probability that a performance evaluation will include at least one plant outside the United States is 0.836.

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