Answer:
630
Step-by-step explanation:
15×2=30
40×(-15)=-600
30-(-600)=630
Answer:
0.0645 = 6.45% probability that exactly 10 employees will be tested in order to find 3 positives
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
40% of the employees have positive indications of asbestos in their lungs
This means that 
a) Find the probability that exactly 10 employees will be tested in order to find 3 positives
2 within the first 9(
when 
), and the 10th, with 0.4 probability. So
0.4*0.1612 = 0.0645
0.0645 = 6.45% probability that exactly 10 employees will be tested in order to find 3 positives
Problem 4
a)
MR = AG is a true statement because MARG is an isosceles trapezoid. The diagonals of any isosceles trapezoid are always the same length.
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b)
MA = GR is false. Parallel sides in a trapezoid are never congruent (otherwise you'll have a parallelogram).
-------------------------
c)
MR and AG do NOT bisect each other. The diagonals bisect each other only if you had a parallelogram.
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Problem 5
a)
LC = AJ (nonparallel sides of isosceles trapezoid are always the same length)
x^2 = 25
x = sqrt(25)
<h3>x = 5</h3>
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b)
LU = 25
UC = 25 because point U cuts LC in half
LC = LU+UC = 25+25 = 50
AJ = LC = 50 (nonparallel sides of isosceles trapezoid are always the same length)
AS = (1/2)*AJ
AS = (1/2)*50
<h3>AS = 25</h3>
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c)
angle LCA = 71
angle CAJ = 71 (base angles of isosceles trapezoid are always congruent)
(angleAJL)+(angleCAJ) = 180
(angleAJL)+(71) = 180
angle AJL = 180-71
<h3>angle AJL = 109 </h3>
26.5 minus 9.3 equals 17.2
26.5 - 9.3 = 17.2
