The simplified form of the equation is 4.4x + 1.5.
Given
Equation; (1.6x + 7.3) + (–0.6x + 2) – (7.8 – 3.4x)
<h3>Addition</h3>The addition is the process of adding things together.
To simplify the equation follow all the steps given below.
First, open the brackets combine like terms, and simplify.
Then,
The equation in simplified form is;
Hence, the simplified form of the equation is 4.4x + 1.5.
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Answer:
The dimensions of a rectangular prism are 21 in. by 20 in. by 19 in.
To find:
The volume of the rectangular prism.
Solution:
Let the length, breadth and height are 21 in, 20 in and 19 in respectively.
Volume of the rectangular prism is
Therefore, the volume of the rectangular prism is 7980 cubic inches.
Using the binomial distribution, we have that:
a) 0.1024 = 10.24% probability that the marketing representative must select 4 people to find one who attended the last home football game.
b) 0.2621 = 26.21% probability that the marketing representative must select more than 6 people to find one who attended the last home football game.
c) The expected number of people is 4, with a variance of 20.
For each person, there are only two possible outcomes. Either they attended a game, or they did not. The probability of a person attending a game is independent of any other person, which means that the binomial distribution is used.
Binomial probability distribution
The parameters are:
The expected number of <u>trials before q successes</u> is given by:
The variance is:
In this problem, 0.2 probability of a finding a person who attended the last football game, thus .
Item a:
Thus:
0.1024 = 10.24% probability that the marketing representative must select 4 people to find one who attended the last home football game.
Item b:
This is the probability that none of the first six went, which is P(X = 0) when n = 6.
0.2621 = 26.21% probability that the marketing representative must select more than 6 people to find one who attended the last home football game.
Item c:
The expected value is:
The variance is:
The expected number of people is 4, with a variance of 20.
A similar problem is given at brainly.com/question/24756209