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2 years ago

Ann's car can travel 228 miles on 6 gallons of gas.

Mathematics

1 answer:

Elena L [17]2 years ago

3 0

Answer:

a. $y=38x$ .

b. 266 miles.

Step-by-step explanation:

Let y represent distance in miles and x represent gallons of gas.

a. First of all, we will find mileage of Ann's car by dividing total distance traveled by total fuel consumed.

$\text{Mileage of Ann's car}=\frac{\text{228 miles}}{\text{6 gallons}}$

$\text{Mileage of Ann's car}=\frac{\text{38 miles}}{\text{ gallon}}$

Since Ann's can travels 38 miles per gallon, so distance covered by using x gallons on gas would be $38x$ .

Therefore, our required equation would be $y=38x$ .

b. To find distance covered by Ann's car using 7 gallons, we will substitute $x=7$ in the equation:

$y=38(7)$

$y=266$

Therefore, Ann's car will travel 266 miles in 7 gallons of gas.

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2 years ago

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Answer:

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Step-by-step explanation:

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Differentiate four times with respect to x

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2 years ago

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2 years ago

Read 2 more answers

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leonid [27]

Answer:

P(0) = 0.6825

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Step-by-step explanation:

From the given information, the number of homicide is 107 and the total number of homicides per city –year is 280.

Let us denote the number of homicides per city-year as X.

The mean value, X is calculated as:

\begin{array}{c}\\{\rm{Mean}} = \frac{{107}}{{280}}\\\\ = 0.382\\\end{array}

Mean= 107/280 = 0.382

The mean number of homicides per city- year \left( {\lambda = \mu } \right)(λ=μ) is 0.382.

a. The probability that zero homicides is obtained is as below:

\begin{array}{c}\\P\left( {X = 0} \right) = \frac{{{e^{ -0.382}}{{\left( {0.382} \right)}^0}}}{{0!}}\\\\ = \frac{{\left( {0.6825 \right)\left( {\rm{1}} \right)}}{1}\\\\ = 0.6825\\\end{array}

P(X=0) = e −0.382 (0.382)⁰/1

= (0.6825)(1) /1

P(X=0) = 0.6825

Thus, the probability that zero homicides P(0) is 0.6825.

b. The probability that one homicides is obtained is as below:

\begin{array}{c}\\P\left( {X = 0} \right) = \frac{{{e^{ -0.382}}{{\left( {0.382} \right)}^0}}}{{0!}}\\\\ = \frac{{\left( {0.6825 \right)\left( {\rm{1}} \right)}}{1}\\\\ = 0.6825\\\end{array}

P(X=1) = e −0.382 (0.382)¹/1

= (0.6825)(0.382)/1

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Thus, the probability that zero homicides P(0) is 0.2607.

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2 years ago

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<h2>Answer:</h2>

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