This scenario relates to binomial probability, where the results can either be a success or a failure. A success indicates that a selected adult possesses a bachelor's degree. Consequently, the success probability, denoted as p, is 20/100 = 0.2. The number of adults in the sample, represented as n, equals 100, and x, the count of successes, is 60. The probability of having more than 60 adults with a bachelor's degree, represented as P(x >60), can be noted internally as P(x < 60) = binomcdf (100, 0.20, 60). The function binompdf would indicate P(x = 60).
8/9 -----\ 8 -------\ 9 8.0.8 -------\ 9 80 -72 ------- 8 This procedure would continue indefinitely, so the answer is.8888888 repeating. Therefore, the result is 1 and 1/9 or 1.
Pr(X>1540.2) = 0.0655. Step-by-step explanation: The expected value indicated for the large bottle is E(Large) = 1016, and for the small bottle, E(small) = 510. This leads to an expected total E(total) = 1016 + 510 = 1526. The new mean calculated is thus 1526. To find the standard deviation, we derive the variance of each bottle. The variance for the large bottle is v(large) = 8^2 = 64, while for the small bottle it's v(small) = 5^2 = 25. Hence, the total variance is v(total) = 64+25 = 89, resulting in a new standard deviation sd(new) = sqrt(89) = 9.434. To find the probability, we compute using the new mean and standard deviation. The z score is derived as z = (x - mean)/sd = (1540.2 - 1526)/9.434 = 1.505. Looking up this z score gives P(z<1.51) = 0.9345. Consequently, for x > 1540.2, we have P(z > 1.51) = 1 - 0.9345 = 0.0655.
Response:
The distance from Endnville to Concord is calculated as 14.8 miles
Step-by-step explanation:
∵ Westfalls is located 7 miles south of Endnville
∵ Concord is situated 13 miles west of Westfalls
∵ South and West are ⊥
∴ The total distance from Endnville to Concord is √(7)² + (13)²
= 14.8 miles
For this scenario, we start with the function:
<span>w (x) = - 5 (x-8) (x + 4)
</span><span>Reorganizing yields:
</span><span>w (x) = - 5 (x² + 4x - 8x - 32)
</span><span>w (x) = - 5x² - 20x + 40x + 160
</span><span>w (x) = - 5x² + 20x + 160
</span><span>Next, we take the derivative:
</span><span>w '(x) = - 10x + 20
</span><span>Setting this to zero and solving for x:
</span><span>0 = -10x + 20
</span><span>10x = 20
</span><span>x = 20/10
</span><span>x = 2 seconds
</span><span>Substituting back:
</span><span>w (2) = - 5 (2-8) (2 + 4)
</span><span>w (2) = - 5 (-6) (6)
</span><span>w (2) = 180 meters
</span>Conclusion:
The peak height attained by the stone is:
w (2) = 180 meters
