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 b (1, 1)
In this case, the center of dilation is a vertex of the original figure.
The center of dilation is a fixed point in the plane about which all points are expanded or contracted.
Step-by-step explanation:
Answer:
Option c) 
Step-by-step explanation:
Let
d -----> the distance in miles
c ----> the cost in dollars
we have the ordered pairs
(3,7.30) and (8,15.30)
step 1
Find the slope of the linear equation
The slope is equal to
step 2
Find the equation of the line in point slope form
we have
substitute
Answer:
Nate should leave a tip of $6.30.
Step-by-step explanation:
Since the total bill was $52.43, and Nate wants to leave a 12% tip, you would have to find out what 12% of 52.43 is. To find this out you would multiply 52.43 by 12%. This is 6.2916. So, to leave the waiter a 12% tip, Nate would leave about $6.30.
