Answer: C . 
and 
Step-by-step explanation:
Definition:
Null hypothesis
is a statement about the population parameter according to the objective raised by the researcher . It contains '=' , '≤' and '≥' signs.
Alternative hypothesis
is also a statement about the population parameter but against null hypothesis . It contains '≠' , '<' and '>' signs.
Let 
be the average customer waiting time for the population.
Given : The average customer waiting time at a fast food restaurant has been 7.5 minutes.
Objective of test : After using new system , the average customer waiting time is at least 7.5 or less than 7.5.
Then, the null and alternative hypothesis for this scenario will be :
Answer:
7.36 cm²
Step-by-step explanation:
What is the area of a triangle whose base measures 3.2 centimeters and whose height is 4.6 centimeters.
The formula for the area of a triangle is given as:
1/2 × Base × Height
Base = 3.2 cm
Height = 4.6 cm
Hence,
Area of the triangle = 1/2 × 3.2 × 4.6
= 7.36 cm²
Answer:
Step-by-step explanation:
-4,0 and -1,0
Answer:
(x + 4)^2 + (y – 9)^2 = 25
Step-by-step explanation:
The standard form for a circle is
where (h, k) is the center and r is the radius
In your case, h = -4 and k = 9 and r = 5
So, (x + 4)^2 + (y – 9)^2 = 25
Answer:
1. 9 < s < 17
2. 5 < MN < 19
3. AD > BD
Step-by-step explanation:
1. The triangle inequality tells you the sum of any two sides of a triangle must exceed the length of the other side. (Some versions say, "must be not less than ..." rather than "must exceed.") In practice, this means two things:
- the sum of the shortest two sides is greater than the length of the longest side
- the length of any side lies between the sum and the difference of the other two sides
Here, we can use the latter fact to write the desired inequality. The difference of the given sides is 13 -4 = 9; their sum is 13 +4 = 17. The third side must lie between 9 and 17. If that side length is designated "s", then ...
9 < s < 17
(If you don't mind a "triangle" that looks like a line segment, you can use ≤ instead of <.)
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2. Same as (1) using different numbers.
12 -7 < MN < 12 +7
5 < MN < 19
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3. Side CD is congruent to itself, and side CA is shown congruent to side CB. This means the requirements of the Hinge Theorem are met. That theorem tells you the longer side is opposite the greater angle:
AD > BD
