Answer:
Not linear.
Step-by-step explanation:
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1
, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.
Answer:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
The expected value is given by this formula:
For this reason the best option is:
D. E (X )=np
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
The expected value is given by this formula:
For this reason the best option is:
D. E (X )=np
The larger number is 66 and the smaller number is 14.
Step-by-step explanation:
Let,
The larger number = x
The smaller number = y
According to given statement;
x-y=52 Eqn 1
5y = x+4 Eqn 2
From Eqn 2
x = 5y-4 Eqn 3
Putting value of x from Eqn 3 in Eqn 1
Dividing both sides by 4
Putting y=14 in Eqn 3
The larger number is 66 and the smaller number is 14.
Keywords: linear equation, substitution method
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Answer:
ratio = 4
Step-by-step explanation:
According to the given table:
• the number of days with no fire incidents
= 16
• the number of days with more than 5 fire incidents
= 2 + 2
= 4
<u><em>Conclusion</em></u> :
the ratio of the number of days with no fire incidents
to the number of days with more than 5 fire incidents is :
16 to 4 (16 : 4)
Then
The ratio = 4
Answer:
8/15
Step-by-step explanation:
Add: 1/5
+ 1/3
= 1 · 3/
5 · 3
+ 1 · 5/
3 · 5
= 3/15
+ 5/15
= 3 + 5/15
= 8/15