Answer:
Step-by-step explanation:
Answer:
The Geometric Mean of 4 and 12 is 6.9
Step-by-step explanation:
Given Numbers are 4 and 12
To find : Geometric mean of the given No.
The Geometric Mean is a type of average where we multiply the nos. together and then take a square root (for two nos), cube root (for three nos) etc.
Formula for Geometric Mean is given by,
![Geometric\,Mean\,of\,x_1\,,\,x_2\,,\,x_3..x_n=\sqrt[n]{x_1\times x_2\times x_3\times\,...\,\times x_n}](https://tex.z-dn.net/?f=Geometric%5C%2CMean%5C%2Cof%5C%2Cx_1%5C%2C%2C%5C%2Cx_2%5C%2C%2C%5C%2Cx_3..x_n%3D%5Csqrt%5Bn%5D%7Bx_1%5Ctimes%20x_2%5Ctimes%20x_3%5Ctimes%5C%2C...%5C%2C%5Ctimes%20x_n%7D)
⇒ Geometric Mean of 4 and 12 = 
= 
= 
= 6.92820323028
= 6.9
Therefore, The Geometric Mean of 4 and 12 is 6.9
B. Symmetric hyctsrsvfydhvugydyv
Answer:
D-the slope of the line will be zero
Step-by-step explanation:
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
