Answer:
Step-by-step explanation:
<em>Step 1: Define significance level</em>
In this hypothesis testing problem, significance levels α is selected: 
, the associated z-value from Laplace table:
Φ(
) = α - 
=> = 
<em>Step 2: Define null hypothesis (</em>
<em>) and alternative hypothesis (</em>
<em>)</em>
: rate of flu infection 
= 8.3% or 8.3/100 = 0.083
: rate of flu infection < 8.3% or 8.3/100 = 0.083
<em>Step 3: Apply the formula to check test statistic:</em>
with 
is actual sampling percent, is rate of flu infection of , 
is number of samples.
The null hypothesis will be rejected if 
<em>Step 4: Calculate the value of K and compare with </em>
We have 
=>This is good evidence to reject null hypothesis.
=> The actual rate is lower. (As states)
Hope this helps!
:)
Answer:
The rotation of the rectangle, of area 12 squared units, about y-axis produces a cylinder, with a volume of 48
cubic units.
Step-by-step explanation:
Rotation about x-axis or y-axis at an angle requires some general rules. When a 2D figure is rotated about a line a 3d figure would be produced. This can be done through a process called solid of revolution.
From the question, connecting the given coordinates produces a rectangle with a length of 4 units and width 3units.
Area of the rectangle = Length × width
= 4 × 3
= 12 square units
The required rule for rotation of a figure about y-axis is: (x, y) → (-y, x).
If the given rectangle is rotated about y-axis, a cylinder would be formed.
The volume of the cylinder = V = 
h
where: r = 4 units and h = 3 units.
V = × 
× 3
= 48 cubic units
Therefore, the rotation of the rectangle of area 12 squared units produces a cylinder with volume of 48 cubic units.
<h3>
Answer: $7.99</h3>
Explanation:
Pick any point listed and divide the y coordinate over the x coordinate.
The simplest choice is the point where x = 1
y/x = (7.99)/(1) = 7.99
Or we could say something like
y/x = (95.88)/(12) = 7.99
Answer:
-8, 0, and -12
Step-by-step explanation:
Using -7 would get you 8. Using -5 would get you 4
Answer:
12√2
Step-by-step explanation:
24 = x√2
24/√2 = x
12√2 = x
