You’re gonna have to use the quadratic formula here and a bit of thinking. We know y is height, and once it touches the ground, it will be 0.
(-b +- sqrt b^2 - 4ac)/2a
2 +- sqrt(4 + 48(400))/-32
(2 +- 138.58)/-32
We don’t want a negative time because it’ll make no sense. So do subtraction
(2-138.58)/-32 = 4.27 seconds aka 4.3 seconds
The fraction of a defective item getting by both inspectors is
= 
Step-by-step explanation:
Step 1; Assume that the probability of the first inspector missing a defective part is P(A) and the probability of the second inspector missing those that do get past the first inspector is P(B).
Step 2; It is given that P(A) = 0.1, we convert this into a fraction so that the final probability will be a fraction and not a decimal.
P(A) = 0.1 =
.
It is given that the second inspector misses 5 out of 10 that get past the first inspector, so P(B) =
.
Step 3; To calculate the probability of both inspectors missing a defective part, we multiply both the probabilities.
P(A and B happening) = P(A) × P(B) =
×
=
=
= 0.05%. So there is a 0.05% chance of both inspectors missing a defective part.
The probability that you will first choose a red marble followed by a green marble is 20%.
<h3><u>Probabilities</u> </h3>
Given that a bag contains 1 blue, 2 green, and 2 red marbles, and you choose a marble with one hand and then a second marble with the other hand, to determine what is the probability that you will first choose a red marble followed by to green marble the following calculation must be made:
- 1 + 2 + 2 = 5
- 2/5 x 2/4 = X
- 0.4 x 0.5 = X
- 0.2 =X
- 0.2 x 100 = 20
Therefore, the probability that you will first choose a red marble followed by a green marble is 20%.
Learn more about probability in brainly.com/question/26677483
Answer:
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Step-by-step explanation:
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Answer: 4.2 meters
Step-by-step explanation: 24×20=480
480÷100=4.8
there are 100 centimeters in a meter