Flight times for commuter planes are normally distributed, with a mean time of 94 minutes and a standard deviation of 7 minutes. using the empirical rule, approximately what percentage of flight times are between 80 and 108 minutes.
32%
68%
95%
99.7%

The percent of flight times between 80 and 108 minutes  is 95% ⇒ 3rd answer

Step-by-step explanation:

* Lets revise the empirical rule

- The Empirical Rule states that almost all data lies within 3

 standard deviations of the mean for a normal distribution.  

- 68% of the data falls within one standard deviation.  

- 95% of the data lies within two standard deviations.  

- 99.7% of the data lies Within three standard deviations  

- The empirical rule shows that

# 68% falls within the first standard deviation (µ ± σ)

# 95% within the first two standard deviations (µ ± 2σ)

# 99.7% within the first three standard deviations (µ ± 3σ).

* Lets solve the problem

- Flight times for commuter planes are normally distributed, with a

 mean time of 94 minutes and a standard deviation of 7 minutes

∴ μ = 94

∴ σ = 7

- One standard deviation (µ ± σ):

∵ (94 - 7) = 87

∵ (94 + 7) = 101

- Two standard deviations (µ ± 2σ):

∵ (94 - 2×7) = (94 - 14) = 80

∵ (94 + 2×7) = (94 + 14) = 108

- Three standard deviations (µ ± 3σ):  

∵ (94 - 3×7) = (94 - 21) = 73

∵ (94 + 3×7) = (94 + 21) = 115

- We need to find the percent of flight times between 80 and 108 min

∵ The empirical rule shows that 95% of the distribution lies within

   two standard deviation in this case, between 80 and 108  min

∴ The percent of flight times between 80 and 108 minutes  is 95%

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

i dont know

step-by-step explanation: