Answer:
Step-by-step explanation:
well the values for x are from -2 to ∞
so we can write it as
Given:
To find:
The obtuse angle between the given pair of straight lines.
Solution:
The slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
The given equations are
On comparing these equations with (i), we get
Angle between two lines whose slopes are is
Putting and , we get
Now,
and
and
and
, so it is an obtuse angle and , so it is an acute angle.
Therefore, the obtuse angle between the given pair of straight lines is 120°.
The events are mutually exclusive, because your primary method can't be both a driving a car or taking a bus.
Since they are exclusive, the probability of the "or" clause is the sum of the probabilities:
Since a person primarily takes a bus with probability 0.32, the opposite happens with probability
S(t) = 3.82 - 0.2t
Step-by-step explanation:
After 7 weeks, the ice is 2.42 meters thick. The ice loses 0.2 meters of thickness per week; this means on the 7th week, it has lost 7(0.2) = 1.4 meters of thickness.
This means the ice started at 2.42+1.4 = 3.82 meters thick.
Our function will start at the original thickness of the ice, 3.82 meters.
Since the ice is losing thickness, we will subtract; it loses at a rate of 0.2 meters per week (t), which gives us 0.2t. This is subtracted from the original, 3.82 meters, giving us
S(t) = 3.82 - 0.2t
Answer:
21378
Step-by-step explanation:
The confidence level is 90%, which gives us a Z of 1.645.
Our equation is (Z^2*p*q)/e^2
(1.645^2*p*(1-.21))/ (.01^2)
E is the error proportion, .01
Q is 1-p or the proportion
P is the pop you need
With this, we can solve
and get p = 21377.5975 and rounded to 21378