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MAXImum [283]
4 years ago
9

Can someone find the x for -3x + 1 = 169

Mathematics
2 answers:
VladimirAG [237]4 years ago
6 0

Answer:

x = -56

Step-by-step explanation:

-3x + 1 = 169

      -1       -1

----------------------

-3x = 168

Divide both sides by -3. 168/-3 = -56

x = -56

satela [25.4K]4 years ago
6 0

Answer:

Your answer is: x = -56

Step-by-step explanation:

Hope this helped : )

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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)

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

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Answer:

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Step-by-step explanation:

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3 years ago
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Answer:  The correct option is

(d) This is a divergent geometric series. The sum cannot be found.

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S=\sum_{i=1}^{\infty}15(4)^{i-1}.

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We have the D' Alembert's ratio test, states as follows:

Let, \sum_{i=1}^{\infty}a_i is an infinite series, with complex coefficients a_i and we consider the following limit:

L=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}.

Then, the series will be convergent if  L < 1 and divergent if  L > 1.

For the given series, we have

a_i=15(4)^{i-1},\\\\a_{i+1}=15(4)^i.

So, the limit is given by

L\\\\\\=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i-1}}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i}4^{-1}}\\\\\\=\dfrac{1}{4^{-1}}\\\\=4>1.

Therefore, L >1, and so the given series is divergent and hence we cannot find the sum.

Thuds, (d) is the correct option.

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Step-by-step explanation:

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