To find the value of r
We will follow the steps below
Usinf the equation of a slope:
slope(m) =

from the question given;
m= -3/4
x₁ = 3
y₁=4
x₂=-1
y₂=r
substituting the values into the slope formula

we can now simplify and then solve for r

cross-multiply
-3 x -4 = 4(r-4)
12 = 4(r-4)
Divide both-side of the equation by 4

3 = r - 4
add 4 to both-side of the equation
3+4 = r-4+4
7 = r
r=7
Therefore the value of r is 7
Answer:
3
Step-by-step explanation:
Answer:
At least 401 chosen guests
Step-by-step explanation:
Represent those with same birth day with Same
So:

Represent number of people with n
There are 365 days in a year and 364 days out of these days is not your birthday.
So, there the probability that n people do not share your birthday is 
i.e.

Solving further, we have that:



We're calculating the probability that
.
So, we have:

Collect Like Terms




Take natural logarithm (ln) of both sides


Apply laws of logarithm

Multiply through by -1

Solve for n

Reorder




(approximated)
This implies that n = 401, 402, 403 .....
i.e

So, at least 401 people has to be invited
The correct box plot will have the "whiskers" extending to 24 and 49. The first quartile will be around 28.5 and the third quartile will be around 41.8. The median will be at 34.
**your question didn't include the box plots to choose from, so use this information to find which one it is :)