Answer:

Step-by-step explanation:
we have

This is the equation of a vertical parabola open upward
The vertex is a minimum
The equation of a vertical parabola in vertex form is equal to

where
(h,k) is the vertex
Convert the given function to vertex form
Factor the leading coefficient

Complete the square


Rewrite as perfect squares
------> equation in vertex form
The vertex is the point (2,6)
Answer:
<em>Test statistic </em>
<em> </em>
t = <em>1.076</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given Mean of the Population (μ) = 8.0
<em>Mean of the sample (x⁻) = 8.25</em>
Given data
8,9,9,8,8,9,8,7
Given sample size n= 8
Given sample standard deviation(S) = 0.661
<u><em>Step(ii):-</em></u>
<em>Null hypothesis : H: (μ) = 8.0</em>
<em>Alternative Hypothesis :H:(μ) > 8.0</em>
<em>Degrees of freedom = n-1 = 8-1=7</em>
<em>Test statistic </em>
<em> </em>
<em></em>
<em> </em>
<em></em>
<em> t = 1.076</em>
<em>Critical value </em>
<em> t₍₇,₀.₀₅₎ = 2.3646</em>
<em>The calculated value t = 1.076 < 2.3646 at 0.05 level of significance</em>
<em>Null hypothesis is accepted</em>
<em>Test the hypothesis that the true mean quiz score is 8.0 against the alternative that it is not greater than 8.0</em>
<em></em>
Answer: Id say b
Step-by-step explanation: a would be too high and a bit too detailed. Whereas c and d will be inaccurate.
Counting numbers is like the numbers 1,2,3,4,5 and so on they were numbers you were probably taught to count to like to count through 1-10 or whatever. Counting numbers mean to count since they do have the word counting in them.
Whole number just means a number with no fraction or intger also 1 - infinity