Answer:
The area of the polynomial is 35 square unit.
Step-by-step explanation:
It is given that area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2).
From the below graph it is noticed that the given polynomial is a rectangle with length 5 and width 7.
The distance formula

Using the above formula we get,




The length of opposing sides are equal.
Using the Pythagoras theorem, the length of diagonal WY and XZ are


Since the length of the diagonal are same, therefore the given polygon is a rectangle.
The area of a rectangle is

Where l is length and w is width.
The area of given polynomial is


Therefore the area of the polynomial is 35 square unit.
Answer:
1) The probability that ten students in a class have different birthdays is 0.883.
2) The probability that among ten students in a class, at least two of them share a birthday is 0.002.
Step-by-step explanation:
Given : Assume there are 365 days in a year.
To find : 1) What is the probability that ten students in a class have different birthdays?
2) What is the probability that among ten students in a class, at least two of them share a birthday?
Solution :

Total outcome = 365
1) Probability that ten students in a class have different birthdays is
The first student can have the birthday on any of the 365 days, the second one only 364/365 and so on...

The probability that ten students in a class have different birthdays is 0.883.
2) The probability that among ten students in a class, at least two of them share a birthday
P(2 born on same day) = 1- P( 2 not born on same day)
![\text{P(2 born on same day) }=1-[\frac{365}{365}\times \frac{364}{365}]](https://tex.z-dn.net/?f=%5Ctext%7BP%282%20born%20on%20same%20day%29%20%7D%3D1-%5B%5Cfrac%7B365%7D%7B365%7D%5Ctimes%20%5Cfrac%7B364%7D%7B365%7D%5D)
![\text{P(2 born on same day) }=1-[\frac{364}{365}]](https://tex.z-dn.net/?f=%5Ctext%7BP%282%20born%20on%20same%20day%29%20%7D%3D1-%5B%5Cfrac%7B364%7D%7B365%7D%5D)

The probability that among ten students in a class, at least two of them share a birthday is 0.002.
Answer:
a) true
Step-by-step explanation:
The bottom-line numbers from synthetic division <em>alternate signs</em>, indicating that -2 is a lower bound. The given statement is true.
__
If the signs were all positive, it would indicate the proposed zero is an <em>upper bound</em>.
__
A graph shows all real zeros are greater than -2.
Answer:
387.06
Step-by-step explanation:
(0 to 5) = round down
(5 to 9) = round up

(-3x + 15) + (-3x + 2)
Simplify by combining like terms.
-6x + 17
-6x + 17