<span>
Assign variables :
Let x = first consecutive even
Let x + 2 = second consecutive even
Let x + 4 = third consecutive even
4x = 6 + 2(x+4)
4x = 6 + 2x + 8
4x = 2x + 14
4x - 2x = 14
so your answer is 7,9and 11</span>
Answer:
see below
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
5x+60 + 3x-40 = 180
Combine like terms
8x +20 = 180
Subtract 20 from each side
8x+20-20=180-20
8x= 160
Divide by 8
8x/8=160/8
x=20
5x+60 = 5*20+60 = 160
3x-40 = 3*20-40 = 20
Answer:
light blue
Step-by-step explanation:
Answer:
Mean of the binomial distribution μ= 6
Variance of the binomial distribution λ² = 4.2
Step-by-step explanation:
<u>Explanation:-</u>
The probability a Gallup poll showed that 30% of Americans are satisfied with the way things are going in the United States.
p = 30% = 0.3
q =1-p = 1- 0.3 =0.7
a sample of 20 Americans is selected as part of a study of the state of the nation
size of the sample 'n' =20
we will use binomial distribution
<u>mean</u>:-
Mean of Americans who are satisfied with the way things are going in the United States (μ) = np
μ= 20 X 0.3
μ= 6
<u>Variance</u>:-
Variance of Americans who are satisfied with the way things are going in the United States λ² = n p q = 20 X(0.3)(0.7)
λ² = 4.2
