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3 years ago

Ac=r+d for a solve equation for the indicated variable

Mathematics

1 answer:

konstantin123 [22]3 years ago

5 0

$\boxed{a=\frac{r+d}{c}}$

<h2>Explanation:</h2>

Here we have the following expression:

$ac=r+d$

And the question asks for solving the equation for the variable $a$ . So we need to divide both sides of the equation by $c$ :

$ac=r+d \\ \\ \frac{ac}{c}=\frac{r+d}{c} \\ \\ \\ But: \\ \\ \frac{c}{c}=1 \\ \\ \\ So: \\ \\ \boxed{a=\frac{r+d}{c}}$

<h2>Learn more:</h2>

Solving equations: brainly.com/question/10643312

#LearnWithBrainly

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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.