Answer:
A
Step-by-step explanation:
Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then
minimum/ maximum value is the y- coordinate of the vertex.
The x- coordinate of the vertex is
= - 
y = x² - 
x + 
← is in standard form
with a = 1 and b = - , thus
= - 
= 
Substitute this value into y
y = ( )² - ( ) +
= 
- 
+ = 
Since a > 1 then the vertex is a minimum, thus
minimum value = → A
Answer:
B. Rectangle
Step-by-step explanation:
All rectangles are parallelograms.
Answer:
b. Hannah is likely to be incorrect because 9 is not contained in the interval.
Step-by-step explanation:
Hello!
Hannah estimated per CI the difference between the average time that people spend outside in southern states and the average time people spend outside in northern states.
The CI is a method of estimation of population parameters that propose a range of possible values for them. The confidence level you use to construct the interval can be interpreted as, if you were to calculate 100 confidence interval, you'd expect that 99 of them will contain the true value of the parameter of interest.
In this example, the 99%CI resulted [0.4;8.0]hs
Meaning that with a 99% confidence level you'd expect the value of the difference between the average time people from southern states spend outside than the average time people from northern states spend outside is included in the interval [0.4;8.0]hs.
Now, she claims that people living in southern states spend 9 more hours outside than people living in northern states, symbolized μ₁ - μ₂ > 9
Keep in mind that if you were to test her claim, the resulting hypothesis test would be one-tailed
H₀: μ₁ - μ₂ ≤ 9
H₁: μ₁ - μ₂ > 9
And that the calculated Ci is tow-tailed, so it is not valid to use it to decide over the hypotheses pair. This said, considering that the calculated interval doesn't contain 9, it is most likely that Hannah's claim is incorrect.
I hope this helps!
Whew! Hard Stuff! I think the answer is <span><span><span>3<span>x^2</span></span>+x</span>+<span>1</span></span>
The "middle" of a sorted list of numbers. To find the Median, place the numbers in value order and find the middle number. ... The middle number is 15, so the median is 15. (When there are two middle numbers we average them.)
