Set up the following word problem as a proportion and solve. you must show your work to receive full credit. in a random sample of 400 cars of a particular model, 5 have a manufacturing defect. at this rate, how many of 10,000 cars of the same model will have a manufacturing defect? label your answer.

At the rate expected, 125 of the 10,000 cars from said manufacturer will contain a defect.

Step-by-step explanation:

Given a sample size of 400, this will be a representation of the total of all cars from this manufacturer.

If 5 of these cars have been found to have a defect, then the rate of defects within the company's cars is expected to be

5/400

Using this proportion to expand to a sample size of 10,000 cars then, we can create the expression

5/400 = x/10,000       Multiply both sides by 10,000 to isolate x

50,000/400 = x          Reduce the fraction

125 = x

Therefore, within a sample of 10,000 cars from said manufacturer, it can be expected that 125 of these vehicles will have a defect.

answer:

your answer is: c. 196 7/8 in^3.

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40