68% of americans own their home, a real estate office selects a random sample of 200 people to estimate the percentage of those people that own their home. what is the probability that at least 140 people own their home?

0.2709

Step-by-step explanation:

Since the sample size is large enough (np > 10 and nq > 10), we can estimate this with a normal distribution.

μ = p

μ = 0.68

σ = √(pq / n)

σ = √(0.68 (1 − 0.68) / 200)

σ = 0.033

x = 140 / 200

x = 0.7

Find the z score:

z = (x − μ) / σ

z = (0.7 − 0.68) / 0.033

z = 0.61

Use a calculator or table to find the probability.

P(Z > 0.61)

1 − P(Z < 0.61)

1 − 0.7291

0.2709

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

answer: do we write it

step-by-step explanation: