Answer: a) 
Step-by-step explanation:
Given : For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills bank.
Each of the four systems detects theft with a probability of .99 independently of the others .
Probability for independent events 
occurs together = 
.
Then, the probability that when a theft occurs, all four systems will detect it
= (0.99) x (0.99) x (0.99) x (0.99)
Hence, the probability that when a theft occurs, all four systems will detect it is .
Hence, the correct answer is a) .
<span>angle A + angle B = 180 degrees ... rhombus and h is the perpendicular distance between two parallelsides of the rhombus. ... The side length of the rhombus is equal to 10 feet. Find its area. ... A rhombus has 2 congruent opposite acute angles and two congruent ... area of rhombus = 2 (1 / 2) (10 feet) 2 sin (60 degrees)</span>
Answer:
x+6
Step-by-step explanation:
The given expression is (2+x)+4.
The associative property is :
(a+b)+c= a+(b+c)
Here,
a = 2, b = x and c = 4
So,
(2+x)+4 = 2+(x+4)
= x+6
So, the equivalent expression is x+6.
Answer:
24 units
Step-by-step explanation:
A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?
triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees
15.5 units
24 units
30 units
37.5 units
From the description:
angle D measures a degrees
opposite to angle D is side EF
side DE (which measures 30 units) is the hypotenuse of the triangle.
We also know that
From definition:
Replacing:
Answer: d. 0.55
Step-by-step explanation:
The given probability distribution:
Number of Goals 0 1 2 3 4
Probability .05 .15 .35 .30 .15
The probability that in a given game the Lions will score less than 3 goals
= probability that in a given game the Lions will score less than or equal to 2
= 0.5+0.15+0.35
= 0.55
Hence, the correct option is d. 0.55
