Answer: 1.645
Step-by-step explanation:
Given : The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variabilities in the amount of soda in the company's 16 OZ bottles is more than the variabilities in the company's 12 OZ bottles.
Let 
represents the variance for 16 OZ bottles and 
represents the variance for 12 OZ bottles.
The Null and Alternative Hypothesis will be :-
, since alternative hypothesis is left-tailed , then the test is left-tailed test.
By using the standard normal distribution table for z, the critical value for this hypothesis:-
It is 25-6 7 :) that gonna be right
Answer:
14.2 hectares
Step-by-step explanation:
Fund Mexico, monarch butterflies occupied 1.13 hectares one recent winter, and 4.01 hectares the following winter (one year later)
The formula of Geometric growth
(Pt/ Po)^1/t
Where Pt = Size after t years = 4.01 hectares
Po = Initial size = 1.13
t = times = 1
=( 4.01/1.13 )^1/1
= 3.5486725664
Hence, Geometric growth rate = 3.5486725664.
It's size in hectares after another 1 year = Current size in hectares × Geometric growth rate
= 4.01 ×3.5486725664
= 14.230176991 hectares
≈ 14.2
Answer:
<h2>A 16mm</h2>
Step-by-step explanation:
An equilateral triangle is a triangle that has all of its sides equal.
Perimeter of an equilaterial triangle = 3s where;
s is one side of the triangle.
Given the perimeter of ABC = 96mm
Substituting into the formula above to get s;
96 = 3s
s = 96/3
s = 32mm
Hence the length of one side of the triangle is 32mm
If a perpendicular bisector is drawn from angle A to side Line segment B C at point M, then MC will be half of BC and ΔAMC will be a right angled triangle.
Since all the sides of the triangle are equal, hence BC = 32mm. Since MC is the half of BC, then MC = 1/2 of 32mm
MC = 1/2 * 32mm
MC = 16mm
<em>Hence the length of Line segment MC is 16mm</em>
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