Answer:
Event is not unusual(p>0.05).
Step-by-step explanation:
Given that :

#The sample proportion is calculated as:

#Mathematically, the z-value is the value decreased by the mean then divided the standard deviation :

#We use the normal probability table to determine the corresponding probability;

Hence, the probaility is more than 0.05, thus the event not unusual and thus this is not necessarily evidence that the proportion of Americans who are afraid to fly has increased.
Answer:
111 degrees
Step-by-step explanation:
the total degrees in a hexagon is 720 degrees.
the known angles add up to 379, so there is 341 degrees left.
angle KFE is 105 degrees because it adds up to 180 degrees with GFK.
angle LAD is 130 degrees because it adds up to 180 degrees with BAD.
130+105=230, so there is now 111 degrees left and that is angle x
Given:
μ = 500 days, the population mean
σ = 60 days, the population standard deviation
Therefore
μ + σ = 560
μ - σ = 440
μ + 2σ = 620
μ - 2σ = 380
μ + 3σ = 680
μ - 3σ = 320
The figure shown below illustrates the normal distribution
About 68% of the total area lies in x = (μ-σ, μ+σ)
About 95% of the total area lies in x = (μ-2σ, μ+2σ)
About 99.7% of the total area lies in x = (μ-3σ, μ+3σ).
Answer:
150 miles
Step-by-step explanation:
let m represent miles
$70 + .70m = $40 + .90m
subtract 40 from each side
$30 + .70m = .90m
subtract .70m from each side
$30 = .20m
divide both sides by .20
150 = m
Answer:

Step-by-step explanation:
Given:
The expression in radical form is given as:

We need to express this in fractional exponent form.
We know that,

Also, 
Now, clubbing both the properties of square root function, we can rewrite the given expression as:

So, the given expression in fractional exponents form is
.