Find 30% of 70 whats your right one
2 answers:
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Answer:
So we can find this probability:
And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:
Step-by-step explanation:
Let X the random variable that represent the diamters of interest for this case, and for this case we know the following info
Where and
We can begin finding this probability this probability
For this case they select a sample of n=79>30, so then we have enough evidence to use the central limit theorem and the distirbution for the sample mean can be approximated with:
And the best way to solve this problem is using the normal standard distribution and the z score given by:
And we can find the z scores for each limit and we got:
So we can find this probability:
And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:
The height of an object can be represented as a function of time.
It takes the rocket 25 seconds to hit the ground
The height function is given as:
When the rocket hits the ground, we have:
h(t) = 0
So, the height function becomes
Rewrite as:
Divide both sides by 16t
Hence, it takes the rocket 25 seconds to hit the ground
Read more about height functions at:
Answer:
The percent change in quantity is -0.14%.
Step-by-step explanation:
The formula to compute the change in quantity is:
The income elasticity of demand is 2.80.
Percent change in price is -5% (since the prices decreases)
Compute the percent change in quantity demanded as follows:
Thus, the percent change in quantity is -0.14%.