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Math

QuestionAnalyze 400 accidents to find proportions related to alcohol and vehicle involvement. Answer questions based on these ratios.

Studdy Solution

STEP 1

Assumptions1. The total number of accidents is400. . The table provides the distribution of accidents based on the number of vehicles involved and whether alcohol played a role.
3. The numbers in the table represent the number of accidents.

STEP 2

To find the proportion of accidents that involved more than one vehicle, we need to add up the number of accidents that involved2 vehicles and vehicles.
Number of accidents with more than one vehicle=Number of accidents with 2 vehicles+Number of accidents with  vehiclesNumber\, of\, accidents\, with\, more\, than\, one\, vehicle = Number\, of\, accidents\, with\,2\, vehicles + Number\, of\, accidents\, with\,\, vehicles

STEP 3

From the table, we see that the number of accidents with2 vehicles is275 and with3 vehicles is50. So, plug in these values into the formula.
Number of accidents with more than one vehicle=275+50Number\, of\, accidents\, with\, more\, than\, one\, vehicle =275 +50

STEP 4

Calculate the number of accidents with more than one vehicle.
Number of accidents with more than one vehicle=275+50=325Number\, of\, accidents\, with\, more\, than\, one\, vehicle =275 +50 =325

STEP 5

Now, to find the proportion of accidents that involved more than one vehicle, we divide the number of accidents with more than one vehicle by the total number of accidents.
Proportion of accidents with more than one vehicle=Number of accidents with more than one vehicleTotal number of accidentsProportion\, of\, accidents\, with\, more\, than\, one\, vehicle = \frac{Number\, of\, accidents\, with\, more\, than\, one\, vehicle}{Total\, number\, of\, accidents}

STEP 6

Plug in the values for the number of accidents with more than one vehicle and the total number of accidents into the formula.
Proportion of accidents with more than one vehicle=325400Proportion\, of\, accidents\, with\, more\, than\, one\, vehicle = \frac{325}{400}

STEP 7

Calculate the proportion of accidents with more than one vehicle.
Proportion of accidents with more than one vehicle=325400=0.8125Proportion\, of\, accidents\, with\, more\, than\, one\, vehicle = \frac{325}{400} =0.8125So, the proportion of accidents that involved more than one vehicle is0.8125 or81.25%. The correct answer is (d) 325/400325 /400 or 81.25%81.25 \%.

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