Answer: Rises to the left and falls to the right
Step-by-step explanation:
Use the degree and the leading coefficient to determine the behavior.
There is a good video called "Describing End Behavior Using Limit Notation" by Mario's Math Tutoring, and it helps to show you how to find the end behavior with limits.
Step-by-step explanation:
Option → C
Part A:
Given that in a sample of 400 registered voters, 204 were democrats, i.e. n = 400, <span>
</span>The 95% confidence interval for the proportion of registered democrats voters in the population is given by:
Part B:
Given that t<span>here
are 169 million registered voters in the US, the interval for
the number of registered democrats in the population is given by
[0.461(169,000,000), 0.559(169,000,000)] = (77,909,000, 94,471,000)
</span>
Answer:
The probability that computers work more than 41 minutes is 0.15866 or 15.87%.
Step-by-step explanation:
We are given that a computer tallied the time to work for 200 days and found it reasonable to the normal curve. The mean is 35 minutes, and the standard deviation with six minutes.
Let X = <u><em>the time taken by computer to work for 200 days</em></u>.
So, X ~ Normal()
The z-score probability distribution for the normal distribution is given by;
Z = ~ N(0,1)
where, = population mean time = 35 minutes
= standard deviation = 6 minutes
Now, the probability that computers work more than 41 minutes is given by = P(X > 41 minutes)
P(X > 41 minutes) = P( > ) = P(Z > 1) = 1 - P(Z 1)
= 1 - 0.84134 = <u>0.15866</u>
The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.84134.
To round to the nearest ten million, you look at the millions digit. In this case, the millions digit is 1, which is less than 5, so you round the number down to 4,320,000,000.