Answer:
2x + y = -5 (which is Answer 1).
Step-by-step explanation:
The possible answer choices are all versions of the standard equation of a straight line: Ax + By + C = 0. If A and B are both positive, as they are here, then the slope is negative and has the form m = -A/B. Only the first answer choice passes here: with +2x and +1y, the slope is -2. This automatically eliminates the other possibilities.
Looking at the first answer choice, we see that A must be 2 and B must be 1
so that the slope is m = -2. Writing out this equation: Ax + By + C = 0.
Replace A with 2 and B with 1: 2x + y + C = 0.
Finally, replace x with -1 and y with -3: 2(-1) + (-3) + C = 0.
Solving this for C, we get -2 - 3 + C = 0, or -5 + C = 0, or C = 5.
We end up with 2x + y = -5 (which is Answer 1).
Answer:
Step-by-step explanation:
We need to find the conditional probability P( T1 < s|N(t)=1 ) for all s ≥ 0
P( time of the first person's arrival < s till time t exactly 1 person has arrived )
= P( time of the first person's arrival < s, till time t exactly 1 person has arrived ) / P(exactly 1 person has arrived till time t )
{ As till time t, we know that exactly 1 person has arrived, thus relevant values of s : 0 < s < t }
P( time of the first person arrival < s, till time t exactly 1 person has arrived ) / P(exactly 1 person has arrived till time t )
= P( exactly 1 person has arrived till time s )/ P(exactly 1 person has arrived till time t )
P(exactly x person has arrived till time t ) ~ Poisson(kt) where k = lambda
Therefore,
P(exactly 1 person has arrived till time s )/ P(exactly 1 person has arrived till time t )
= [ kse-ks/1! ] / [ kte-kt/1! ]
= (s/t)e-k(s-t)
Answer:
• changing an interior angle to a reflex angle
Step-by-step explanation:
In order for the outline of the polygon to have a pair of sides that is concave (pointed inward, rather than outward), the corresponding interior angle must be a reflex angle. (It must measure more than 180°.) Draw one; you'll see.
Answer:
n=-4 x=-7
Step-by-step explanation:
Answer:
40% = 72
divide both sides by 40 to find 1%
1% = 1.8
now multiply by 100 to find total amount earned
100% = 180
total earned $180
