You are choosing between two different cell phone plans. The first plan charges a rate of

Mathematics

1 answer:

Zolol [24]2 years ago

3 0

Answer:

at least 450 minutes

Step-by-step explanation:

Find an expression for the cost of each plan as a function of the number of minutes. Set the expressions equal to each other, and solve for the number of minutes.

Let x = number of minutes.

First plan:

cost (in dollars) = 0.21x

Second plan:

cost (in dollars) = 0.11x + 44.95

Set the expressions equal:

0.21x = 0.11x + 44.95

Subtract 0.11x from both sides.

0.1x = 44.95

Divide both sides by 0.1

x = 44.95/0.1

x = 449.5

Since you cannot have a fraction of a minute, the answer is 450 minutes.

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The safety inspector in a large city wants to estimate the proportion of buildings in the city that are in violation of fire cod

Drupady [299]

Answer:

Proportion of buildings in the city that have fire code violations: 10%

Uncertainty 0.3 = 30%

Step-by-step explanation:

This situation complies with a binomial model where p is the probability of finding a building having fire code violations and q=1-p

Since in random sample of 40 buildings chosen for inspection 4 of them are found to have fire code violations, the proportion is 4/40 = 0.1 or 10% and p=0.1 as well.

In a binomial model the standard deviation s is:

$\large s=\sqrt{npq}$