What is the fourth term of this sequence? (explanations appreciated!)
1 answer:
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Answer:
Value of the car after x years
Step-by-step explanation:
Exponential functions are generally expressed in the form: and since this function is decreasing, meaning it has an exponential decay, it can be expressed as:
where r=rate of decay.
In this case the a represents the initial value or y-intercept, since when x=0, (1-r)^0 = 1, so we just have y=a(1) or y=a
The r represents the rate of decay
the x usually represents the time in seconds, days, months, or whatever unit is being used
The y value represents the value of whatever your measuring, and in this context it represents the value of the car after x years.
This is because a represents the initial value
After one year it's only 85% worth it's initial value or 15% less which is represented as 0.85(a)
After two years it's only 85% worth the previous year or 15% less the previous year, which is represented as 0.85(0.85(a))
This will continue to decrease the number of years increase
Answer:
The correct option is (b).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:
The confidence interval for population mean can be computed using either the <em>z</em>-interval or <em>t</em>-interval.
The <em>t</em>-interval is used if the following conditions are satisfied:
- The population standard deviation is not known
- The sample size is large enough
- The population from which the sample is selected is normally distributed.
For computing a (1 - <em>α</em>)% confidence interval for population mean , it is necessary for the population to normally distributed if the sample selected is small, i.e.<em>n</em> < 30, because only then the sampling distribution of sample mean will be approximated by the normal distribution.
In this case the sample size is, <em>n</em> = 28 < 30.
Also it is provided that the systolic blood pressure is known to have a skewed distribution.
Since the sample is small and the population is not normally distributed, the sampling distribution of sample mean will not be approximated by the normal distribution.
Thus, no conclusion can be drawn from the 90% confidence interval for the mean systolic blood pressure.
The correct option is (b).