Answer:
or 
Step-by-step explanation:
first use the y2-y1/x2-x1 formula then use y=mx+b after
plug in 2 for y2 and -1 for y1
plug in -5 for x2 and 5 for x1
=
2+1=3
-5-5=-10
is ur slope
_____________________
this is the y=mx+b formula *extra info ig*
i usually use the first point for this but u can use watever point u want
plug in 5 for x
plug in -1 for y
and plug -3/10 for m
-1=-3/10(5)+b
-3/10*5=-3/2
-1=-3/2+b
add -3/2 on both sides
-1+3/2=1/2
1/2=b and b is ur y-intercept
y=-3/10x+1/2
hope this helps
Step-by-step explanation:
I can't see picture very well but as I see first angle is
-4x+5 and second is -13x+39 ( if it isn't, correct me)
sum of this angles is 180° because they are inner angles
(-4x+5) + (-13x+39) = 180
-4x+5 -13x+39=180
-17x+44=180
-17x = 180-44
-17x= 136
x= -8
angle -4x+5 will be:
-4*-8 + 5= 32+5= 37°
Answer:
350
Step-by-step explanation:
you just have to subtract ibthink
Answer:
125.8983
Step-by-step explanation:
Use the formula for volume of a cone: v= (1/3)(3.14)(radius squared)(height) so v = (1/3)(3.14)(20.25)(6) = 125.8983
Answer:
The probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.
Step-by-step explanation:
Let <em>X</em> = number of students arriving at the 10:30 AM time slot.
The average number of students arriving at the 10:30 AM time slot is, <em>λ</em> = 3.
A random variable representing the occurrence of events in a fixed interval of time is known as Poisson random variables. For example, the number of customers visiting the bank in an hour or the number of typographical error is a book every 10 pages.
The random variable <em>X</em> is also a Poisson random variable because it represents the fixed number of students arriving at the 10:30 AM time slot.
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 3.
The probability mass function of <em>X</em> is given by:

Compute the probability of <em>X</em> = 2 as follows:

Thus, the probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.