Complete Question
The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test
vs
when the sample has n 900 , and
with
. Find the value of the standardized z -test statistic. Round your answer to two decimal places.
Answer:
The value is 
Step-by-step explanation:
Generally the standardized test statistics is mathematically represented as

=> 
=> 
=> 
Answer:
radius r = 47/π in
length l = 23.5 in
Step-by-step explanation:
Let us recall that:
Volume of a cylinder =
--- (1)
The girth g =
----- (2)
Given that:
height (h) + girth (g) = 141
Then g = 141 - h ----- (3)
Equating equation (2) and (3), we have:
141 - h = 2πr + h
2h = 141 - 2πr
h = 70.5 - πr ------ (4)
From, here now, we can now replace the value of h into equation (1)
i.e.
V = πr²(70.5 - πr)
V = 70.5πr² - π²r³
Taking the differential of the above equation with respect to r, we have:

By further differentiation:

Let set
, Then:
141πr - 3π²r² = 0
141πr = 3π²r²
Divide both sides by πr
141 = 3πr
r = 141/3π
r = 47/π in
Replacing the value of r = 47/π into equation (4), we have:
h = 70.5 - πr
h = 70.5 - π(47/π)
h = 70.5 - 47
h = 23.5 in
From equation (3);
h + g = 141
23.5 + g = 141
g = 141 - 23.5
g = 117.5 in
Volume = πr²h
V = π × (47/π )² × 23.5
V = 16523.94 in³
Answer:
Option B
Step-by-step explanation:
-1/2x≥4
1) Multiply both sides of the inequality by the reciprocal of -1/2: (-2)
x≤-8
Graph x≤-8 as a line. Remember that lesser negative values go to the left!
ALSO don't forget when you multiply both sides of an inequality by a negative number the inequality sign flips.
Answer:
The third one
Step-by-step explanation: