we know that
The function's domain consists of the x values for which the function is valid, while the range encompasses the values produced by the function
in this problem
The values for the function's domain are
The corresponding values for the function's range are
therefore
the selected response is option B
RESPONSE
EXPLANATION
The equation provided is:
By integrating with respect to t, we obtain:
The initial condition y(0)=20
We apply this initial condition to solve for:
This implies that;
Or
Answer:
Step-by-step explanation:
Given data and notation
indicates the sample mean
refers to the sample standard deviation
is the sample size
represents the value we are testing.
indicates the significance level for the hypothesis test.
t refers to the statistic of interest.
is the p-value for the test (the variable we are interested in).
Formulate the null and alternative hypotheses.
I will set up the hypotheses to verify if the mean weight falls below 4 ounces, formalizing:
Null hypothesis:
Alternative hypothesis:
Since our sample size is < 30 and the population standard deviation is unknown, it’s advisable to utilize a t test to compare the actual mean against the reference value, with the statistic calculated as follows:
(1)
t-test: "This test compares group means and is commonly utilized to determine if the mean is (greater than, less than, or not equal to) a specific value."
Calculate the statistic
We can substitute the provided information into formula (1):