The answer is 4526
Hope this helps!
Answer:
SU = 15
Step-by-step explanation:
Given that,
Point T is on line segment SU. So,
SU = ST + TU
Putting all the values, we get :
SU = 12 + 3
SU = 15
Hence, the length of SU is 15 units.
Answer:
<u>42.25π m²</u>
Step-by-step explanation:
Let's solve!
⇒ Take the radius of the lawn to be 'r'
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Then, area of the path equals :
⇒ Area of (lawn + path) - Area of lawn
⇒ π (r + 2)² - πr² = 30π
⇒ πr² - πr² + 4πr + 4π = 30π
⇒ 4πr = 26π
⇒ r = 6.5 m
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Area of the lawn :
⇒ Area = πr²
⇒ Area = π × (6.5)²
⇒ Area = <u>42.25π m²</u>
Answer B
Step-by-step explanation:
Since k<0 it is shifted to the right k units
Answer:
0.00335
Step-by-step explanation:
Probability that one of the components works for x hours before failing is given by
f(x) = 2e⁻²ˣ
We can then find the probability that one of the components works for x = 4 hours before failing
f(x) = 2e⁻⁸ = 0.0006709253
Probability that the system works for 4 hours = probability that at least 1 of the components of the system works for 4 hours =
1 - (Probability that none of the components of the system works for 4 hours)
Probability that one of the components doesn't work for 4 hours = 1 - 0.000670925 = 0.9993290747
Probability that none of the 5 components work for 4 hours = (0.9993290747)⁵ = 0.9966498721
Probability that the system works for 4 hours = probability that at least 1 of the components of the system works for 4 hours
= 1 - (Probability that none of the components of the system works for 4 hours)
= 1 - 0.9966498721 = 0.0033501279
Hope this Helps!!!
