Answer:
Inverse of
Step-by-step explanation:
Let y = -5x-4
Swap y and x
x = -5y -4
Solve for y
x+4 = -5y
which is the inverse
Express 19,796 correct to 2 decimal places
1 answer:
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Answer:
The equation of the line that passes through the points (0, 3) and (5, -3) is .
Step-by-step explanation:
From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:
(Eq. 1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
If we know that and
, the following system of linear equations is constructed:
(Eq. 2)
(Eq. 3)
The solution of the system is: ,
. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is
.
The binomial distribution is given by,
P(X=x) =
q = probability of failure = 1-0.2 = 0.8
n = 100
They have asked to find the probability <span>of obtaining a score less than or equal to 12.
</span>∴ P(X≤12) =
where, x = 0,1,2,3,4,5,6,7,8,9,10,11,12
∴ P(X≤12) =
+ 
+ 
+ 
+ 
+ 
+ 
Evaluating each term and adding them you will get,
P(X≤12) = 0.02532833572
This is the required probability.
P(X=x) =
q = probability of failure = 1-0.2 = 0.8
n = 100
They have asked to find the probability <span>of obtaining a score less than or equal to 12.
</span>∴ P(X≤12) =
where, x = 0,1,2,3,4,5,6,7,8,9,10,11,12
∴ P(X≤12) =
Evaluating each term and adding them you will get,
P(X≤12) = 0.02532833572
This is the required probability.