Five cards are labeled 1 to 5 face down on the table and then mixed up. What is the likelihood that I will draw an even-numbered
2 answers:
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Answer:
a) The estimated standard deviation of the sampling distribution of the proportion is 0.023
b) the estimated standard deviation have been if he had surveyed only 100 customers is 0.046
Step-by-step explanation:
given information:
the number of sample, n = 400
sample proportion, p = 70% = 0.7
a) standard deviation of a sample proportion is
σ =
=
= 0.023
b) if n = 100, so
σ =
=
= 0.046
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by
The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:
Using the quadratic formula, the solution for our problem is
The rocket splashes after 26.845 seconds.
The maximum of this function happens at the root of the derivative. Differentiating our function, we have
The root is
Then, the maximum height is
1029.99 meters above sea level.