Answer: 33.041666
Step-by-step explanation:
Given: The translated equation : 
To find the value of x if y = 87.5, we need to substitute the value of y in the given translated equation, we will get

Subtract 87.5 from both the sides , we get

Now, divide 300 on both the sides, we get

Answer:
From what I can see of the problem, you CANNOT solve for the half-life of U 235 AND then solve for the length of time to determine the 20% decay.
U-235 half-life is 704,000,000 years. (Wikipedia)
The elapsed time formula = half-life * [log (Beginning Amount / ending amount) / log 2]
elapsed time = 7.04 x 10^8 * [log (100 % / 80%) / log 2]
elapsed time =7.04 x 10^8 * [log (1.25) / .30103]
elapsed time =7.04 x 10^8 * [0.096910 / .30103]
elapsed time = 7.04 x 10^8 * 0.321928047
elapsed time = 226,637,000 years
Step-by-step explanation:
Answer:
0.75
Step-by-step explanation:
P(A | B) = P(A and B) / P(B)
P(vanilla | sundae) = P(vanilla and sundae) / P(sundae)
P(vanilla | sundae) = 0.15 / 0.2
P(vanilla | sundae) = 0.75
Answer:
1.4% of connectors fail during the warranty period.
Step-by-step explanation:
We have these following probabilities:
A 90% probability that a connector is kept dry.
A 10% probability that a connectors is wet.
If a connector is dry, an 1% probability of failling.
If a connector is wet, a 5% probability of failling.
What proportion of connectors fail during the warranty period?
This is 1% of 90% and 5% of 10%. So

1.4% of connectors fail during the warranty period.