Step-by-step explanation:
3/10 or 0.3
hope it helps:))!
99.7%
This is because the likelihood of a point being within 2 SDs of the mean is 99.7%.
Answer:
1. D. 20, 30, and 50
2. A. 86
3. B. 94
Step-by-step explanation:
1. To find the outliers of the data set, we need to determine the Q1, Q3, and IQR.
The Q1 is the middle data in the lower part (first 10 data values) of the data set (while the Q3 is the middle data of the upper part (the last 10 data values) the data set.
Since it is an even data set, therefore, we would look for the average of the 2 middle values in each half of the data set.
Thus:
Q1 = (85 + 87)/2 = 86
Q3 = (93 + 95)/2 = 94
IQR = Q3 - Q1 = 94 - 86
IQR = 8
Outliers in the data set are data values below the lower limit or above the upper limit.
Let's find the lower and upper limit.
Lower limit = Q1 - 1.5(IQR) = 86 - 1.5(8) = 74
The data values below the lower limit (74) are 20, 30, and 50
Let's see if we have any data value above the upper limit.
Upper limit = Q3 + 1.5(IQR) = 94 + 1.5(8) = 106
No data value is above 106.
Therefore, the only outliers of the data set are:
D. 20, 30, and 50
2. See explanation on how to we found the Q1 of the given data set as explained earlier in question 1 above.
Thus:
Q1 = (85 + 87)/2 = 86
3. Q3 = (93 + 95)/2 = 94
Answer:
Mean = 3.4
Variance = 1.088
Standard deviation = 1.0431
Step-by-step explanation:

The mean of a binomial distribution with parameters N (the number of trials) and p (the probability of success for each trial) is 
Thus,

The variance of the binomial distribution is
, where
is the variance of the binomial distribution, so

The standard deviation
is the square root of the variance
so

Answer:
S'(t) = 0.09t^2 + t + 9
S(2) = 24.24
S'(2) = 11.36
S(11) = 203.43 means that the sales of the company 11 months from now is $203,430,000.
S'(11) = 30.89 means that, 11 months from now, the rate at which sales change is $30,890,000 per month
Step-by-step explanation:
The derivate of the sales function S'(t) , which is the rate at which sales vary with time in months, is:

S(2) is found by applying t=2 to S(t):

S'(2) is found by applying t=2 to S'(t):

Since the sales function gives the amount of sales in millions of dollars,
S(11) = 203.43 means that the sales of the company 11 months from now is $203,430,000.
S'(t) represents the rate of change in sales in millions of dollars per month.
S'(11) = 30.89 means that, 11 months from now, the rate at which sales change is $30,890,000 per month