Answer:
Step-by-step explanation:
You can only add radicals if the value inside the square root symbol is the exact same, therefore, this one is 6. To find the sum, we can add the values outside the square root symbol (3 and 4) to get our new radical.
We can also check this.
≈ 7.35
≈ 9.8
≈ 17.15
7.35+9.8 = 17.15
Hope this helped!
Answer:
Mean = 3.7
Variance = 2.61
Step-by-step explanation:
From the data given; we can represent our table into table format for easier solution and better understanding.
Given that:
A highway engineer knows that his crew can lay 5 miles of highway on a clear day, 2 miles on a rainy day, and only 1 mile on a snowy day
Let X represent the crew;
P(X) represent their respective probabilities
clear day rainy day snowy day
X 5 2 1
P(X) 0.6 0.3 0.1
From Above; we can determine our X*P(X) and X²P(X)
Let have the two additional columns to table ; we have
X P(X) X*P(X) X²P(X)
5 0.6 3 15
2 0.3 0.6 1.2
1 0.1 0.1 0.1
Total 1.0 3.7 16.3
The mean can be calculated by using the formula:
Therefore ; mean = 3.7
Variance
Variance = 16.3 -3.7²
Variance = 16.3 - 13.69
Variance = 2.61