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Naddik [55]
3 years ago
7

If a car factory checks 320 cars and 12 of them have defects, how many out of 560 will have defects? Use proportions

Mathematics
1 answer:
Viefleur [7K]3 years ago
4 0

Answer:

Total number number of cars which do not have defects = 539

and 21 are defected out of 560 i.e. 560 - 539 = 21

Step-by-step explanation:

Total cars checked by Car factory = 320

Number of defected cars = 12

The number of cars which do not have defects = 320 - 12 = 308

Total Number of cars = 560

So the equation becomes

\left[560\:\times \:308\right]\:\div \:320

⇒  \frac{560\times \:308}{320}

\mathrm{Multiply\:the\:numbers:}\:560\times \:308=172480

⇒  \frac{172480}{320}

\mathrm{Divide\:the\:numbers:}\:\frac{172480}{320}=539

⇒  539

Therefore, total number number of cars which do not have defects = 539

and 21 are defected out of 560 i.e. 560 - 539 = 21

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Using function concepts, it is found that the domain is 0 ≤ t ≤ 2.4, given by option C.

----------------------

The height of the apple after t seconds is given by:

h(t) = -16t^2 + 38.4t + 0.96

  • The domain of a function is the <u>set that contains all possible input values.</u>
  • The possible input values for this situation are the values of t between 0 and the instant in which the apple hits the ground, which is t for which h(t) = 0.

----------------------

h(t) = -16t^2 + 38.4t + 0.96

Which is a quadratic equation with a = -16, b = 38.4, c = 0.96

To find the solutions:

\Delta = b^2 - 4ac = (38.4)^2 - 4(-16)(0.96) = 1536

t_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-38.4 + \sqrt{1536}}{2(-16)} = -0.0247

t_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-38.4 - \sqrt{1536}}{2(-16)} = 2.4

The apple is in the air for 0 ≤ t ≤ 2.4, which means that the domain is given by option C.

A similar problem is given at brainly.com/question/23932338

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A bag contains 3 red marbles 4 blue marbles and 7 Green marbles if two marbles are drawn out of the bag what is the probability
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Answer:

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Total probability=\frac{3}{14}+\frac{2}{13}

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Hence, the correct answer is 0.368

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