3(x-2) + 5x = 18
3x-6+5x=18
8x=18+6
x=24/8
x=3
:)
Answer:
A. $0.5
Step-by-step explanation:
In this question half of the time your winning is 2 dollars and also the other half of the time your loss is one dollar
The expectation is that after you must have had 2 rolls you would get 2 dollars once and also you are going to lose 1 dollar once. So what you won overall would be 1 dollar.
So the correct answer would be gotten from $1/2rolls
= $0.50
Answer:
A 11.1%
Step-by-step explanation:
The students are chosen from a sample without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question, we have that:
13 + 7 = 20 teachers, which means that N = 20.
7 history teachers means that k = 7.
Two teachers for each student, which means that n = 2.
What is the approximate probability that a random student on the trip will be assigned to a group led by two history teachers?
This is P(X = 2). So
So close to 11.1%, and the correct answer is given by option A.
The image shows the construction of an inscribed hexagon using technology.
Hope this helps:)