Answer:
A. True
Step-by-step explanation:
The empirical rule in statistics states that:
- 68% of the data will be within 1 standard deviation
- 95% of the data will be within 2 standard deviations
- 99.7% of the data will be within 3 standard deviations
So yes, we can state that 5% or less of the data will be more than 2 standard deviations away from the mean. Of course, statistics is not 100% certain, so this rule is not 100% right all the time. Some exceptions might result, but generally speaking, the results should follow the empirical rule.
Answer:
x = 10/3
, y = 0
Step-by-step explanation:
Solve the following system:
{4.5 x - 2 y = 15
3 x - y = 10
In the first equation, look to solve for x:
{4.5 x - 2 y = 15
3 x - y = 10
4.5 x - 2 y = (9 x)/2 - 2 y:
(9 x)/2 - 2 y = 15
Add 2 y to both sides:
{(9 x)/2 = 2 y + 15
3 x - y = 10
Multiply both sides by 2/9:
{x = (4 y)/9 + 10/3
3 x - y = 10
Substitute x = (4 y)/9 + 10/3 into the second equation:
{x = (4 y)/9 + 10/3
3 ((4 y)/9 + 10/3) - y = 10
3 ((4 y)/9 + 10/3) - y = ((4 y)/3 + 10) - y = y/3 + 10:
{x = (4 y)/9 + 10/3
y/3 + 10 = 10
In the second equation, look to solve for y:
{x = (4 y)/9 + 10/3
y/3 + 10 = 10
Subtract 10 from both sides:
{x = (4 y)/9 + 10/3
y/3 = 0
Multiply both sides by 3:
{x = (4 y)/9 + 10/3
y = 0
Substitute y = 0 into the first equation:
Answer: {x = 10/3
, y = 0
Answer:
$3,840
Step-by-step explanation:
9600 x 0.08 = 768 per years (assuming flat rate)
768x5= 3,840
Answer:
your answer is 11 feet, or 132 inches.
Step-by-step explanation:
one bracelet needs 22 inches, but he's making six, so multiply.
you should get 132, which can be divided by 12 to see how many feet you need, since this is what the question requires.
Hope I Helped!
Answer:
Its the domain of real numbers Written diferently ( R ) or in interval notation ( ( ( −∞, +∞ )
Step-by-step explanation: