Answer:
68% of an investment earning a return between 6 percent and 24 percent.
Step-by-step explanation:
The Empirical Rule 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 = 15
Standard deviation = 9
How likely is it to earn a return between 6 percent and 24 percent?
6 = 15 - 1*9
6 is one standard deviation below the mean
24 = 15 + 1*9
24 is one standard deviation above the mean
By the empirical rule, there is a 68% of an investment earning a return between 6 percent and 24 percent.
Answer:
x is greater than or equal to -8
Step-by-step explanation:
multiply by 2 to get the x alone, and you have your answer.
Answer:
644.972
Step-by-step explanation:
6x100=600
4x10=40
4x1=4
9x(1/10)=0.9
7x(1/100)=0.07
2x(1/1000)=0.002
add all of these values up. hope this helps!
Answer:
B {6, 6, 7}
Step-by-step explanation:
Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}
For a given triangle with 3 sides, the sun of the length of any two sides must be greater Than the third side. This can be expressed mathematically as;
Let the side be ;
x, y and z
Then:
x > (y + z) or
y > (x + z) or
z > (x + y)
For A{2,5,9}
(2 + 5) < 9 (does not meet criteria)
For B {6,6,7}
(6 +6) > 7
(7 +6) > 6
Meets all criteria
For C {6,4,2}
(4 +2) is not greater Than 6 (does not meet criteria)
For D {7,8,1}
(7 +1) is not greater Than 8 ( does not meet criteria)
Rewrite the equation as;
-0.3(7n - 31.2) = 0.456
Divide each term by 0.3 and simplify;
-7n + 31.2 = 1.52
Move all terms not containing n to the right side of the equation;
-7n = -29.68
Divide each term by -7 and simplify;
<u>n = 4.24 </u>
