Find the value of x. Round to the nearest whole number.
1 answer:
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Remember that the general decay equation is:
where
is the amount after a time 
is the initial amount
is the the decay percent in decimal form
The first ting we are going to do is find by dividing our <span>decay rate of 25% by 100%: </span>
.
We also know from our problem that
. Lets replace and in our formula:
We know now that our decay rate is 0.75, and since 0.75<1, we can conclude that this situation represents exponential decay.
Now, to find the initial amount, we are going to solve our equation for
:
Notice that will depend on the number of ours . <span />
where
The first ting we are going to do is find
We also know from our problem that
We know now that our decay rate is 0.75, and since 0.75<1, we can conclude that this situation represents exponential decay.
Now, to find the initial amount, we are going to solve our equation for
Notice that
Answer:
We conclude that there has been a significant reduction in the proportion of females.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 400
p = 50% = 0.5
Alpha, α = 0.05
Number of women, x = 118
First, we design the null and the alternate hypothesis
This is a one-tailed test.
Formula:
Putting the values, we get,
Now, we calculate the critical value.
Now,
Since the calculated z-statistic is less than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Thus, there has been a significant reduction in the proportion of females.