Answer:
By 71 years of age 80% of the plan participants have passed away.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 68 years and a standard deviation of 4 years.
This means that
By what age have 80% of the plan participants passed away?
By the 80th percentile of ages, which is X when Z has a p-value of 0.8, so X when Z = 0.84.
By 71 years of age 80% of the plan participants have passed away.
Answer:
Therefore the tank will be half empty after 10.10 days.
Therefore there will be 2735.53 liters water in the tank after 4 days.
Step-by-step explanation:
Given that,the square root of the volume of remaining water in the tank is proportional to the rate of water leakage.
Let V be volume of water at any instant time t.
where k is constant of proportionality.
Integrating both sides
[ C is integrating constant]
At t=0, the volume of water is 350 liters
The equation becomes
Again at t=1, the volume of water is(350-20)liters=330 liters
The equation becomes
Now when the tank is half empty,then V= (350÷2) liters = 175 liters
days
Therefore the tank will be half empty after 10.10 days.
After 4 days,
liters
Therefore there will be 2735.53 liters water in the tank after 4 days.
Answer: 12 is 4.76% of 252
Explanation: Fist thing to do when solving math is to read the question slowly and carefully. This question is asking 12 is what percent of 252. What you are going to do is turn that into a fraction:
12 / 252
Next, multiply the fraction by 100:
(12 / 252) x 100 = 4.76%
So if you buy an item at $252 with a $12 discount, you will pay $240 and get 4.76% discount cashback rewards.
Hope this helps! :)
Answer:
Step-by-step explanation:
13.5cm