To make it easier to graph this equation, you can manipulate it to get it in slope-intercept form. You'd do that like so:
7x + y = -7
y = -7x - 7
Now I can graph a bit more easily as I can more readily make out the slope and the y-intercept...
Answer:
100 students should be surveyed in order to cut the width of the interval down from 3 hours to 1.5 hours
Step-by-step explanation:
Given that a 95% confidence interval, based upon a sample of size 25, for the mean number of hours of sleep that college students get per night was 5 to 8 hours.
Confidence interval = (5,8)
This implies that mean = 6.5 and margin of error = 1.5
i.e.
If the interval width to be cut into half then the
New confidence interval = (5.75, 7.25)
Margin of error = 0.75
This is possible only when new n= 100
Hence sample size should be increased to 100
100 students should be surveyed in order to cut the width of the interval down from 3 hours to 1.5 hours
When a sequence of numbers increases or decreases by a set amount (addition and subtraction)
Given:
To find:
The error that a student has made while solving the equation.
Solution:
We have,
Using distributive property, we get
Subtract 6 from both sides.
Divide both sides by -2.
The value of x is 1.
In step 2, the distributive property is not used properly because when -2 is distributive with -3 then we get 6 instead of -6.
Therefore, the student has made error in step 2.