Answer:
16% probability that a randomly chosen U.S. adult sleeps more than 8.7 hours per night
Step-by-step explanation:
The Empirical Rule(Standard Deviation) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7.5
Standard deviation = 1.2
Using the Standard Deviation Rule, what is the probability that a randomly chosen U.S. adult sleeps more than 8.7 hours per night?
8.7 = 7.5 + 1.2
So 8.7 is one standard deviation above the mean.
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean. The other 100-68 = 32% are more than one standard deviation from the mean. Since the normal probability distribution is symmetric, 16% are more than one standard deviation below the mean and 16% are more than one standard deviation above the mean(above 8.7 hours)
So, 16% probability that a randomly chosen U.S. adult sleeps more than 8.7 hours per night
Answer:
the answer is 94.2
Step-by-step explanation:
Answer:
The two intersections would be (3, 10) and (-2, 0)
Step-by-step explanation:
To solve this system of equations, set the two equations equal to each other and solve for x.
2x + 4 = x^2 + x - 2
2x = x^2 + x - 6
0 = x^2 - x - 6
0 = (x - 3)(x + 2)
Now set the parenthesis equal to zero to get the x values.
x - 3 = 0
x = 3
x + 2 = 0
x = -2
Now we know the x values of each interception. We can find the y values by plugging into either equation.
y = 2x + 4
y = 2(3) + 4
y = 6 + 4
y = 10
y = 2x + 4
y = 2(-2) + 4
y = -4 + 4
y = 0
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Step-by-step explanation:
