9514 1404 393
Answer:
1.9 degrees per second
Step-by-step explanation:
The angle α the line makes with the water can be described by ...
Sin = Opposite/Hypotenuse
sin(α) = 10/(25 -1.9t)
Taking derivatives gives ...
α'·cos(α) = -10(-1.9)/(25 -1.9t)²
Then the rate of change of the angle at t=0 is ...
α' = 19/(25²·cos(α))
Of course, cos(α) = √(1 -sin(α)²) = √(1 -(10/25)²) = √(21/25), so we have ...
α' = 19/(125√21) . . . radians/second
α' ≈ 0.033269 radians/s ≈ 1.90 degrees/s
Answer:
2a to the second power + 3a
Step-by-step explanation:
Answer:
<u>x = 14</u>
Step-by-step explanation:
4x + (2x + 6) = 90
6x + 6 = 90
subtract both sides by 6:
6x + 6 <em>- 6 </em>=<em> </em>90 <em>- 6</em>
6x = 84
divide both sides by 6
6x/6 = 84/6
x = 14
double check:
4*14 + (2*14 + 6) = 90
56 + 28 + 6 = 90
Have a nice day!
C. There is no solution
The graphs of the two equations represent the same line
- the probability that a person has the virus given that they have tested positive is 0.0151.
- the probability that a person does not have the virus given that they have tested negative is 0.9999
P(A) = 1/600 = 0.0017
P(B) = 0.9 * 0.0017 + 0.1 * (1 - 0.0017) = 0.1014
A) P (has the virus | tested positive) = P (tested positive | has the virus) ×
P (has the virus)/ P (tested positive)
= 0.9 × 0.0017/0.1014
= 0.0151
B) P (does not have the virus | tested negative) = P (tested negative | does not have the virus) × P (does not have the virus)/ P (tested negative)
= (1 - 0.1) *× (1 - 0.0017)/ (1 - 0.1014)
= 0.9999
Probability is the department of mathematics regarding numerical descriptions of ways likely an occasion is to occur, or how possibly it's far that a proposition is genuine. The possibility of an occasion varies between zero and 1, wherein, roughly speaking, 0 suggests the impossibility of the occasion and 1 shows certainty. The better the possibility of an event, the more likely it is that the event will arise.
A simple instance is the tossing of an honest (unbiased) coin. since the coin is truthful, the 2 results ("heads" and "tails") are both equally likely; the possibility of "heads" equals the chance of "tails"; and considering the fact that no different results are feasible, the possibility of both "heads" or "tails" is 1/2 (that could additionally be written as 0.5 or 50%).
To learn more about Probability visit here:
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