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Degger [83]
3 years ago
8

An arrow is shot vertically upward at a rate of 280 feet per second. Use the projectile formula

Mathematics
1 answer:
vfiekz [6]3 years ago
4 0

Time is 16.75 seconds when the arrow reaches 200 ft

Step-by-step explanation:

  • Step 1: Find time at height of 200 ft

Height = 200 ft

v = 280 ft/s

Projectile formula, h = -16t² + vt

⇒ 200 = -16t² + 280t

⇒ 16t² - 280t + 200 = 0

⇒ 2t² - 35t + 25 = 0 (dividing by common factor 8)

Using quadratic formula to find t

t = (35 ±√35² - 4×2×25)/2×2

t = (35 ±√1225 - 200)4 = 35 ± 32.02/4

∴ t = 67/4 or 3/4  

t = 16.75 seconds

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Greatest Common Is The More Times It Can Go In To That Number. And The Least Is The Least Many Times.

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Assume that the probability that a baseball player will get a hit in any one at bat is 0.250. What is the probability that he wi
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Answer: 0.0791

Step-by-step explanation:

Given : The probability that a baseball player will get a hit in any one at bat is 0.250.

Let x be the first hit.

According to the geometric probability , the probability that x (th) trial is the first success =P(X=x)=(1-p)^{x-1}p , where p is the probability of getting success in each trial.

As per given p= 0.250

Then, the probability that he will get his first hit on his 5th at bat will be :

P(X=x)=(1-0.25)^{5-1}(0.25)\\\\=(0.75)^4(0.25)\\\\=0.0791015625\approx0.0791

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3 years ago
Type the correct answer in the box. Round your answer to the thousandth place.
Alexandra [31]

Answer:

The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place)

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Probability that carbon emissions from the company’s factory exceed the permissible level = 35% = 0.35

Accuracy of the test of emissions level = 85% = 0.85

2. The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is?

These two events, carbon emissions from the company’s factory and the accuracy of the test are independent events, therefore:

Probability that carbon emissions from the factory are within the permissible level = 1 - 0.35 = 0.65

Probability that the test predicts the opposite to be true = 0..35 * 0.85 = 0.2975 (The opposite is that the carbon emissions from the company exceed the permissible level)

Probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is:

0.65 * 0.2975 = 0.193375

The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place

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