Answer:
Step-by-step explanation:
For each name, there are only two outcomes. Either the name is authentic, or it is not. So, we can solve this problem using the binomial probability distribution.
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 combinatios of x objects from a set of n elements, given by the following formula.
And 
is the probability of X happening.
In this problem.
5 names are selected, so 
A success is a name being non-authentic. 40% of the names are non-authentic, so 
.
We have to find 
Either the number of non-authentic names is 0, or is greater than 0. The sum of these probabilities is decimal 1. So:
So
Answer:
Step-by-step explanation:
The circumference of a Ferris wheel:
C = 2 r π
C = 2 · 70 · 3.14
C = 439.6 ft
439.6 : 40 = 10.99 ≈ 11 ft
Answer:
The cars are placed approximately 11 ft apart.
Answer:
Tomas
Step-by-step explanation:
Let's use miles per hour
Maren:<em> 60 miles/hour</em> (It's given to us)
Safiya: 120 miles/3 hours
Let's divide both by three to get to miles/hour.
120/3=40
<em>40 miles/hour</em>
Tomas: 84 miles/1.2 hours
Let's divide both by 1.2 to get to miles/hour
84/1.2=70
<em>70 miles/hour</em>
Cam: 75 miles/1.5 hours
Let's divide both by 1.5 to get to miles/hour
75/1.5=50
<em>50 miles/hour</em>
After comparing all the speeds we can conclude that Tomas drove the fastest.
