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UkoKoshka [18]
3 years ago
7

Tony is driving from alma ,Michigan to Elizabeth city, North Carolina . The drive covers a total distance of 1,100 miles. Tony c

ar can travel 400 miles on a full tank of gas.how many tanks of gas will tony car need for the entire trip?explain ur reasoning?

Mathematics
1 answer:
Natalka [10]3 years ago
4 0
<span>3 tanks because he can do 400 miles on tank, and he's goin 1,100 miles, he does 400 miles with first tank, next tank he gets to 800 miles, and then he uses 3/4 of last tank to get to 1,100, he will then have 100 miles left on the tank though.</span>
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A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery servic
sineoko [7]

Answer:

55.32% probability that a late package was delivered by express delivery service 2

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Late delivery.

Event B: Service 2 was used.

A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery service 2.

100 - 35 = 65%.

So P(B) = 0.65

Service 2 has a record of 2.0% of packages being delivered late.

This means that P(A|B) = 0.02

Probability of a late delivery.

35% from service 1. Of those, 3% are late.

65% from service 2. Of those, 2% are late.

So

P(A) = 0.35*0.03 + 0.65*0.02 = 0.0235

What is the probability that a late package was delivered by express delivery service 2

P(B|A) = \frac{0.65*0.02}{0.0235} = 0.5532

55.32% probability that a late package was delivered by express delivery service 2

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timurjin [86]

Answer:

-3

Step-by-step explanation:

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soldier1979 [14.2K]

Answer:

$1,577.74

Step-by-step explanation:

You are going to want to use the continuous compound interest formula, which is shown below.

A = Pe^{rt}

<em>A = total </em>

<em>P = principal amount </em>

<em>r = interest rate (decimal) </em>

<em>t = time (years) </em>

<em />

First change 3% to its decimal form:

3% -> \frac{3}{100} -> 0.03

Next, we can plug in the values into the equation:

A=8,000e^{0.03(6)}

A=9,577.74

The last step is to subtract 8,000 from 9,577.74:

9,577.74-8,000=1,577.74

The total interest earned is $1,577.74

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