What equations have z=4
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Answer:
The mean and the standard deviation of the number of students with laptops are 1.11 and 0.836 respectively.
Step-by-step explanation:
Let <em>X</em> = number of students who have laptops.
The probability of a student having a laptop is, P (X) = <em>p</em> = 0.37.
A random sample of <em>n</em> = 30 students is selected.
The event of a student having a laptop is independent of the other students.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.
The mean and standard deviation of a binomial random variable <em>X</em> are:
Compute the mean of the random variable <em>X</em> as follows:
The mean of the random variable <em>X</em> is 1.11.
Compute the standard deviation of the random variable <em>X</em> as follows:
The standard deviation of the random variable <em>X</em> is 0.836.
Using a system of equations, it is found that £52 was originally shared.
<h3>What is a system of equations?</h3>A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: Angela's share.
- Variable y: Michelle's share.
- Variable z: Daniel's share.
Angela and Michelle shared some money in the ratio 4: 9, hence, considering t as the total:
.
Angela gave Daniel half her share.Michelle gave Daniel a third of her share. Daniel was given a total of £20, hence:
30t = 20 x 78
t = 20 x 78/30
t = £52.
More can be learned about a system of equations at brainly.com/question/24342899
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