The calculation of the integral will give us the answer.
Amount = Int (2000e^(-0,2t))dt
With t = 0 to t = 10
A = 2000.In(e^(-0,2t))dt
Making U = -0,2t
U = -0,2t
dU/dt = d(-0,2t)/dt
dU/dt = -0,2
dU = -0,2dt
dt = dU/-0,2
_______________
Then,
A = 2000.Int (e^U).dU/-0,2
A = -10.000.Int(e^U)dU
A = -10.000.e^U
A = -10.000.e^(-0,2t) | (0,10)
A = -10.000.(e^(-2)) - [ -10.000.e^(0)]
A = -10.000.e^(-2) + 10.000
A ~ 8,646 Gallons
The answer is 200.
it is 20x10
Step-by-step explanation:
There is 6 sides on a rectangular prism
the top would be 6 x 4 = 24 and same for the bottom then I'll do the left amd right sides those are 20 and the front and back sides are 30 so I add all the sides so...
30 + 30 + 20 + 20 + 24 + 24 = 148
so 148 is our answer
Using the <em>normal approximation to the binomial</em>, it is found that there is a 0.0041 = 0.41% probability that at most 10 of them married their first love.
<h3>Normal Probability Distribution
</h3>
In a <em>normal distribution</em> with mean and standard deviation , the z-score of a measure X is given by:
- It 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, which is the percentile of X.
- The binomial distribution is the <u>probability of x successes on n trials, with p probability of a success on each trial</u>. It can be approximated to the normal distribution with , as long as and .
In this problem:
- 40% of people marry their first love, hence .
- A sample of 50 adults is taken, hence .
For the approximation, the mean and the standard deviation are given by:
Using continuity correction, the probability that <u>at most 10</u> of them married their first love is , which is the <u>p-value of Z when X = 10.5.</u>
has a p-value of 0.0041.
0.0041 = 0.41% probability that at most 10 of them married their first love.
To learn more about the <em>normal approximation to the binomial</em>, you can take a look at brainly.com/question/14424710
Answer:
the answer to you question is c
Step-by-step explanation: