Answer:
Yes it is
Step-by-step explanation:
It is 104777
The sum of a straight angle is 180°
So 77+x=180
Subtract 77 from both sides and the equation is
x=77
The measure of the other angle is 77°
Answer:
(a) 0.06154
(b) 0.2389
(c) 0.6052
(d) 2478
Step-by-step explanation:
probability density function of the time to failure of an electronic component in a copier (in hours) is
P(x) = 1/1076e^−x/1076
λ = 1/1076
A) A component lasts more than 3000 hours before failure:
P(x>3000) = 1 − e^−3000/1076
= 0.06154
B) A component fails in the interval from 1000 to 2000 hours:
P(1000>x>2000) =1 − e^−2000/1076 − 1 +e^−1000/1076 = e^−1000/1076 − e^−2000/1076 = 0.3948 − 0.1559
= 0.2389
C) A component fails before 1000 hours:
P(x<1000) = 0.6052
D) The number of hours at which 10% of all components have failed:
e^−x/1076 = 0.1
= −x/1076
= ln(0.1)
x =(2.3026)×(1076)
x = 2478
After first week pond will be:
10 + 10* 0.03 = 10*(1.03) feet deep
after second week it will be:
10*(1.03) + 10*(1.03)*0.03 = 10*(1.03)^2
from this we can conclude that after x week its will be:
10*(1.03)^x
Note that when second week starts our starting pond is already greater by 3%. every week we add 3% of prevous weeks size of pond
for x = 8 we get
f(x) = 10*(1.03)^8 = 12.66 or rounded 13 feet
Answer is D.
