Answer:
1) 0.1504
2) 0.432
Step-by-step explanation:
1) The given information are;
The proportion of the morning appointments that are with elderly patients = 60%
The number of patients in the appointments = 10 patients
The proportion of the morning appointments that are with non-elderly patients = 100 - 60 = 40%
The binomial probability distribution is given as follows;

= 0.000105
= 0.0016
= 0.01062
= 0.0425
The probability that the first four patients are elderly is 0.000105 + 0.0016 + 0.1062 + 0.0425 = 0.1504
2) The probability that exactly 2 out of 3 morning patients are elderly patient is given as follows
= 0.432
Answer:
35
Step-by-step explanation:
5x (5+3)=40-5=35
Answer:

Step-by-step explanation:
The coordinates are:

The parallelogram is attached below.
To verify if these coordinates form a parallelogram, we show that:
Using Distance Formula




Since AB=CD; and AC=BD, the coordinates A, B, C, and D form the vertex of a parallelogram.
Sqrt242 can't be simplified anymore. It doesn't contain any perfect squares factors. For instance,

This can be simplified because

And 25 is a perfect square, and square root of 25 is 5. The simplified version for this would be 5 sqrt (6). For your question, sqrt 242 can't be simplified anymore, its most simplified version is its current state.
We have by the intermediate value theorem that if a continuous function takes values both above and below zero at 2 points, there is a zero of the function in-between. We have that polynomials are continues. Let's calculate f(-6) and f(-5). f(-6)=-36 while f(-5)=-1. Thus, we cannot conclude that there is a root between them.
F(-2)=8, f(-1)=-1, so there is a flip; a zero must exist between them.
F(1)=-1, f(2)=20, so again there is a change of signs.
f(-5)=-1, f(-4)=14 so there is a root still.
We have that the only choice that does not have a root between the integers is choice a.