First find the slope:
(-3-2)/(0-2)=-5/-2=5/2
So then y=5/2x+b
When x=0, then the y-coordinate with that is the y-intercept.
So the answer is y=5/2x-3.
: -x/2+3/2<5/2=x>-2
-x/2+3/2-3/2= -x/2<5/2-3/2=1
-x/2<1
-x/2/2= -x<1/2
-x can be transformed into -1/2x
-1/2x / -1/2=x
1/-1/2=-2
<span>x>-2</span>
Answer:
Step-by-step explanation:
<u>Rational Inequality</u>
We are given the solution of rational inequality:
(-2,-1) U (1,∞)
The first set suggests a limited zone than can be obtained by a quadratic equation of the form:
Where a and b are the roots of the equation, which coincide with the endpoints of the interval. Thus, to get the interval, we can use:
Operating:
The second set is an open infinite interval, that can be modeled as a third binomial that changes signs in x=1 and is in the denominator, so x=1 is not included.
Thus, one possible inequality is:
The answer simplified is 6
Answer:
(52.30 ; 52.62)
Step-by-step explanation:
Given :
Sample size, n = 20
Mean, xbar = 52.46
Standard deviation, s = 0.42
We assume a t - distribution
The 90% confidence interval
The confidence interval relation :
C.I = xbar ± Tcritical * s/√n
To obtain the Tcritical value :
Degree of freedom, df = n - 1 ; 20 - 1 = 19 ; α = (1 - 0.90) /2 = 0.1/2 = 0.05
Using the T-distribution table, Tcritical = 1.729
We now have :
C.I = 52.46 ± (1.729 * 0.42/√20)
C. I = 52.46 ± 0.1624
C.I = (52.30 ; 52.62)
