Answer:
The mean of the number of restaurants that failed within a year is 23.04 and the standard deviation is 3.96.
Step-by-step explanation:
For each restaurant, there are only two possible outcomes. Either it fails during the first year, or it does not. The probability of a restaurant failling during the first year is independent of other restaurants. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
The probability that an independent restaurant will fail in the first year is 32%.
This means that
72 independent restaurants
This means that
Mean:
Standard deviation:
The mean of the number of restaurants that failed within a year is 23.04 and the standard deviation is 3.96.
Answer:
Step-by-step explanation:
y = -3x + 9 ⇌ 3x = 9 - y ⇌ x = -y/3 + 9/3 ⇌ x = -y/3 + 3
Answer:
0.5 square units
Step-by-step explanation:
Find the equation of the parabola in the form This parabola passes through the point (3,2), so
Thus, the parabola equation is
Now, find the equation of the tangent line.
The equation of the tangent line is
This line intersects x-axis at point (1.5, 0), because
Find the shaded area:
12 Km / hour
using the formula
average speed = ( where time is in hours )
40 min = = hour
speed = 8 ÷ = 8 × = 12 Km / hour
Answer:
Please give a little more info
Step-by-step explanation: