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
Ok so I have a way you can find the answers. Go look online and use Socratic
Hey! Great to see you again.
Based on what we learned last time, we can apply it to this equation!
Solve 3x+y =−5 for y:
3x+y=−5
3x+y+−3x=−5+−3x Let us add -3x to both sides.
y=−3x−5.
Substitute −3x−5 for y in −2x+3y=18:
−2x+3y=18
−2x+3(−3x−5)=18
−11x−15=18 Simplify both sides :)
−11x−15+15=18+15 Add 15 to each side.
−11x=33
x = -3
Now solve for y.
−3 for x in y=−3x−5:
y=(−3)(−3)−5
Can you solve this equation? Let me know if you need help, tell me what you get! :) That will be your y answer. :D
Have a great one!
Answer:
See below.
Step-by-step explanation:
inequality:
<em>1/2 x + 6 < 32</em>
Solution:
Subtract 6 from both sides.
1/2 x < 26
Multiply both sides by 2.
<em>x < 52</em>
Graph: <em>draw an open circle on 52. Shade to the left.</em>
The next terms are -4,-7,-10