The new mean is 11
Step-by-step explanation:
The mean = sum of the numbers ÷ numbers
- The mean of a set of 5 numbers is 12
- One of the number is 16
- We need to find the new mean if 16 is removed from the set of numbers
∵ The set has 5 numbers
∵ The mean of the 5 numbers is 12
- Substitute these values in the rule of the mean above
∴ 12 = sum of the numbers ÷ 5
- Multiply both sides by 5
∴ 60 = sum of the numbers
∵ One of the number is 16
∵ 16 is removed from the set of the number
- Subtract 16 from the sum and the numbers will be four numbers
∵ The new sum = 60 - 16
∴ The new sum = 44
∵ The set has 4 numbers
∴ The new mean = 44 ÷ 4 = 11
The new mean is 11
Learn more:
You can learn more about the mean in brainly.com/question/5069437
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Answer:
3.9
Step-by-step explanation:
Given the data:
Payout ($) (x) : 0 2 4 8 10
Probability p(x) : 0.35 0.2 0.1 0.2 0.15
The expected winning ; E(X) = Σ(x * p(x))
Σ(x * p(x)) = (0*0.35)+(2*0.2)+(4*0.1)+(8*0.2)+(10*0.15)
= 0 + 0.4 + 0.4 + 1.6 + 1.5
= 3.9
Answer:
g(-3) = -10
Step-by-step explanation:
All you have to do is plug -3 in for x!
g(-3) = 2(-3) - 4
g(-3) = -6 - 4
g(-3) = -10
0.66666 that’s the answer
Answer:
4
Step-by-step explanation:
The general equation of a circle with center (a, b) and radius r is given by the equation;

The constant in the right hand side of the equation is simply the square of the radius;
We have been given the following equation;
(x-3)^2 + (y+1)^2 = 16
Comparing this with the general equation above;
