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) .
Sample is the 3 selected customers; And population is all customers
According to the statement
we have given that a shopkeeper asks 3 customers to taste the chocolate icecream.
And we have to identify the sample and population.
So, A definition of sample is that a
A sample is an outcome of a random experiment. When we sample a random variable, we obtain one specific value out of the set of its possible values. That particular value is called a sample.
And a Population is defines as the is a discrete group of people, animals or things that can be identified by at least one common characteristic for the purposes of data collection and analysis.
So, according to definition Sample is the 3 selected customers; And population is all customers.
Learn more about Sample here brainly.com/question/11073037
#SPJ4
Answer:
The answer to your question is 14° and 76°
Step-by-step explanation:
Data
leg 1 = x
leg 2 = x/4
angle 1 = ?
angle 2 = ?
Process
To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).
tangent Ф = Opposite side / Adjacent side
-Substitution
tan Ф = (x/4) / x
-Simplification
tan Ф = x / 4x
tan Ф = 1/4
- Find Ф
Ф = tan⁻¹(1/4) = 14°
- Find the other acute angle
The sum of the internal angles in a triangles equals 180°
Ф + Ф₁ + 90° = 180
-Solve for Ф₁
Ф₁ = 180 - 90 - 14
-Result
Ф₁ = 76°
Answer:
x = -5
Step-by-step explanation:
Note that x does not change. Hence, this line is a vertical one, and its slope is undefined. The line is defined by the equation x = -5.
Answer:
I have no idea
Step-by-step explanation:
