Answer:
The probability of selecting two Independents is 
.
Step-by-step explanation:
From the given information it is clear that:
Democrats = 8
Republicans = 5
Independents = 5
Total number of member in the group is
We need to find the probability of selecting two Independents.
According to binomial distribution the total number of ways to select r items form n items is
Total number of ways to select 2 members from 18 members is
Total number of ways to select 2 members from 5 Independents is
The probability of selecting two Independents is
Therefore the probability of selecting two Independents is .
6x – 8 = 4 written as a system. Hence second option is correct
<u>Solution:</u>
Given, equation is 6x – 8 = 4.
We have to find the equivalent system from given options.
First let us solve given equation, 6x – 8 = 4 ⇒ 6x = 4 + 8 ⇒ 6x = 12 ⇒ x = 2
Now, let us solve one by one option ,so that when we get above solution, that is correct option.
- y = 6x – 8 and y = -4 ⇒ put y = -4 in y = 6x – 8 ⇒ 6x – 8 = -4 ⇒ 6x = 8 – 4
⇒ 6x = 4 ⇒ x ≠ 2, wrong option
- y = 6x – 8 and y = 4 ⇒ put y = 4 in y = 6x – 8 ⇒ 6x – 8 = 4 ⇒ 6x = 8 + 4 ⇒ 6x = 12 ⇒ x = 2, right option.
- y = -6x + 8 and y = 4 ⇒ put y = 4 in y = -6x + 8 ⇒ -6x + 8 = 4 ⇒ 6x = 8 – 4 ⇒ 6x = 4 ⇒ x ≠ 2, wrong option
hence, second option is correct.
-5f, -8c, 40f, 10c happy math..ing
Answer:
D) 57.5°
Step-by-step explanation:
As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.
Pythagoras Theorem = 
= 
a = 7 and b = 11
= 49
= 121
Plugging in the values, we will get:
= 49 + 121
= 170
c = 
To calculate the unknown angle B, we can use law of sine.
Law of sine = 
= 
= 
So,
=
= 
Sin90 = 1
sinB = 
B = 
()
B = 57.5°
Answer:
Simplify
Step-by-step explanation:
You have to simplify the question:
= 5+9m+45+8
= 50+9m+8
= 58+9m
