Terry invested money in a biotech stock whose growth is modeled by the function f(x) = 0.01(2)x, where x represents number of da
2 answers:
Answer:
The average rate of change is 1.275
Step-by-step explanation:
The average rate of change of f(x) from x=a to x=b is given by:
The money Terry invested is modeled by the function where x represents number of days.
The average rate of change from day 2 to day 10 is given by:
The average rate of change becomes:
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Answer:
Patricia will run 132 kilometers with 11 liters of gas.
Step-by-step explanation:
The given table is representing the distance driven by Patricia for every liter of gas she puts in her car.
With 3 liters of gas she drives 36 kilometers.
This means in one liter of gas distance covered by the car = kilometers.
Similarly if the car runs 48 kilometers in 4 liters of gas then per liter distance covered by the gas will be = kilometers
Now with 11 liters of gas distance covered by the car will be = 11×12
= 132 kilometers
Therefore, with 11 liters of gas Patricia can run 132 kilometers.
Answer:
Step-by-step explanation:
Data given and notation
The info given by the problem is:
the random sample taken
represent the population mean
represent the population standard deviation
The critical region on this case is so then if the value of
we fail to reject the null hypothesis. In other case we reject the null hypothesis
Null and alternative hypotheses to be tested
We need to conduct a hypothesis in order to determine if the true mean is 5000, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Let's define the random variable X ="The compressive strength".
We know from the Central Limit Theorem that the distribution for the sample mean is given by:
Find the probability of committing a type I error when H0 is true.
The definition for type of error I is reject the null hypothesis when actually is true, and is defined as the significance level.
So we can define like this:
And in order to find this probability we can use the Z score given by this formula:
And the value for the probability of error I is givn by: