PLS HELP ME ASAP I ONLY HAVE 5 MINITUES
2 answers:
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The functions f, g, h, and k are, ,
,
and,
respectively.
A function is monotonous when is either increasing or decreasing for all values of x.
A power function is a case of a monotonous function, whose model is defined;
Where:
y_0 - Initial value
r - Increase rate
x - Independent variable
y - Dependent variable
Case 1 (f(x) - Initial value: 5, increase rate: 3)
(2)
Case 2 (g(x) - Initial value: 26, increase rate: 0.5)
(3)
Case 3 (h(x) - Initial value: 7, increase rate: 8)
(4)
Case 4 (k(x) - Initial value: 280, increase rate: 0.143)
(5)
Hence, The functions f, g, h, and k are, ,
,
and,
respectively.
To learn more on functions;
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Answer:
Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
Assuming this previous info: Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. Net weights actually vary slightly from bag to bag and are normally distributed with mean . A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is different with advertised and so intends to test the hypotheses
Data given and notation
represent the mean height for the sample
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the true mean is equal to 14 or no, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this: