The probability that at least 8 patients show improvement is; 0.94
<h3>How to use Binomial Probability Distribution?</h3>
The formula for Binomial Probability Distribution is;
P(X = r) = nCr * p^(r) * (1 - p)^(n - r)
where;
n = number of trials
r = number of specific events you wish to obtain
p is probability of success
From the question, we have;
n = 12
r = 8
p = 81% = 0.81
The probability that at least 8 patients show improvement is expressed as;
P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)
Using online binomial probability calculator gives us;
P(X ≥ 8) = 0.11954 + 0.22649 + 0.28967 + 0.22453 + 0.07977
P(X ≥ 8) = 0.94
Read more about Binomial Probability Distribution at; brainly.com/question/15246027
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The appropriate answer is b. the Northern Asia Coastal theory. This theory states that people entered North America by moving along the coast from north west Asia along the northern Pacific coastline using rafts or early designs of boats. It was previously thought that people entered north America by crossing the Bering Strait but new evidence contradicts this theory.
Answer: x = $25.89
Step-by-step explanation:
This is a two step problem. First we need to determine the number of gallons the car uses to drive the 250 miles:
250/28 ≈ 8.93 gallons
Then we just multiply the number of gallons by the price:
8.93 x 2.90 = $25.90
Alternate solution: Use a proportion. Since 1 gallon costs $2.90 and produces 28 miles, we can set up the following proportion:
2.90/28 = x/250
Cross-multiply and solve:
28x = 725
x = $25.89 (There is a one cent difference due to a rounding error in the first solution. This solution avoids that error.)
The answer is <span>C. five billion, six hundred eight million, nine hundred twelve thousand, thirteen </span>
The GCF is 6.... if u need me to explain id be happy to
