Answer:
At least 75% of the observations lie between 16 and 28.
Step-by-step explanation:
The Chebyshev’s Theorem says:
For any numerical data set, at least of the data lie within k standard deviations of the mean, that is, in the interval with endpoints for populations, where k is any positive whole number that is greater than 1.
Given:
The interval (16, 28) is the one that is formed by adding and subtracting two standard deviations from the mean.
For k = 2, we see that , which is 75% of the data must always be within two standard deviations of the mean.
At least 75% of the observations lie between 16 and 28.
In constructing the equation, you need to know the following:
1. What don't we know? How many minutes you must talk to have the same cost for both calling plans. So, let x be the number of minutes.
2. What do we know? Plan 1 charges $17.50 per month plus $0.17 per minute used and Plan 2 charges $32 per month plus $0.07 per minute used.
So the equation must look like this: 17.50 + .17x = 32 + 0.07x
Solving the equation:
1. Multiply both sides by 100
(100) 17.5 + .17x = 32 + 0.07x (100)
1750 + 17x = 3200 + 7x
2. Subtract 1750 from both sides
1750 + 17x - 1750 = 3200 + 7x - 1750
17x = 7x +1450
3. Subtract 7x from both sudes
17x - 7x = 7x + 1450 - 7x
10x = 1450
4. Divide both sides by 100
10x / 10 = 1450/10
x= 145 minutes
145 minutes is the number of minutes you must talk to have the same cost for both calling plans.
Answer:
C' will be located at (-4,-2)
Step-by-step explanation:
Answer:
In some cases unemployment rates increase with the level of education of the ... not only provides skills for performing different vocational tasks, but also identifies and ... Similarly some- times model firm comparison methods are used to derive the ... The third step is the estimation of labour productivity by economic sector for
Step-by-step explanation: