Am i correct?? -- > if i am wrong. show details on why.
2 answers:
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Answer:
Step-by-step explanation:
We want to write the equation of a line that passes through (5, 6) and (-1, 4).
First, let's find our slope. We can use the slope formula:
Let's let (5, 6) be (x₁, y₁) and let's let (-1, 4) be (x₂, y₂). So, our slope is:
Subtract:
Reduce:
So, our slope is 1/3.
Now, we can use the point-slope form, which is:
For consistency, let's let (5, 6) be (x₁, y₁). We will also substitute 1/3 for m. So:
Distribute:
Add 6 to both sides:
Add:
And we're done!
Answer:
i)
ii)
iii)
Step-by-step explanation:
Let's start by defining the random variable ⇒
'' Number of students that will get 7 marks out of 10 in first attempt of a certain Quiz while attempting Quiz on BlackBoard LMS ''
is a discrete random variable.
The probability of a randomly selected student getting 7 marks out of 10 is 0.4
(This is a data from the question).
Now, if we assume independence between the students while they are doing the Quiz and also we assume that this probability remains constant , we can modelate as a binomial random variable ⇒
~ Bi (n,p)
Where ''n'' and ''p'' are the parameters of the variable.
''n'' is the number of students attempting the Quiz and ''p'' is the probability that a student will get 7 marks out of 10 which is 0.4 ⇒
~ Bi (20, 0.4) in the question.
The probability function for is
(I)
Where is the combinatorial number define as
Replacing the parameters in the equation (I) ⇒
(II)
For i) we need to find
Then, we only need to replace by in equation (II) ⇒
For ii) we need to calculate
This probability is equal to ⇒ and to calculate it we need to sum
We can do it summing each term or either using any program.
The result is
Finally for iii) we need to find ⇒
This probability is equal to ⇒ ⇒
Again we can find each term by using the equation (II) or either using a program. The result is