Answer:
I was unclear if you needed this solved in vertex or standard form, so I gave you both.
Vertex form: 
Standard form: 
Step-by-step explanation:
This is a quadratic equation. In order to solve this problem, you will need these equations:
Vertex form: 
Standard form: 
Starting with vertex form:
The vertex is (4, -1). When putting this into your equation, substitute the "x" value for h, and substitute the "y" value for k.
You can disregard the "a" for this particular problem because it is equal to 1.
Standard form:
Now that you have vertex form, you can expand it into standard form.
Use the FOIL method to multiply (x - 4)(x - 4).
This will equal 
.
Keep in mind that you still have a -1 from your original equation to take into account. Once you subtract 1, this will leave you with:
Answer:
d. 1.5283
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to 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 mean is higher than 6 seconds, the system of hypothesis are :
Null hypothesis:
Alternative hypothesis:
Since we don't know the population deviation, 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:
d. 1.5283
Answer:
the answer is 15.5
Step-by-step explanation:
the answer is 15.5
The answer is the test contains 10 3pt questions and 14 5 pt questions. Any questions please just ask!!! thank you!
