Slope-intercept form is y = mx + b.
In this form, m is slope and b is y-intercept.
Slope is rise over run. The formula for this is (y2-y1)/(x2-x1).
Y-intercept is the value of y when x is equal to 0.
1. Slope = 8 ; Y-intercept = 0
y = mx + b
m = 8 ; b = 0
y = 8x + 0
y = 8x
2. Slope = 1 ; Y-intercept = 2
y = mx + b
m = 1 ; b = 2
y = 1x + 2
y = x + 2
The answer to #1 is y = 8x.
The answer to #2 is y = x + 2.
Hope this helps!
Answer:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where 
and 
Since the distribution for X is normal then the we know that the distribution for the sample mean 
is given by:
And the standard error is given by:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then the we know that the distribution for the sample mean is given by:
And the standard error is given by:
P(A) = 0.993 is the probability of event A
_
P(A) is the probability of not A (note that I am trying to place a bar over A. I hope you can see it, else it is because the editor did not show it as I intended)
Then, use the fact that the probability of A plus the probability not A is equal to 1:
_
=> P(A) + P(A) = 1
_
=> P(A) = 1 - P(A) = 1 - 0.993 = 0.007
So, the answers are:
_
1) P(A) = 0.07
_
2) Yes, A is unlikely because its probability is very low.
Answer:
There are 7123 boxes of ice cream left in the factory
Step-by-step explanation:
Initially produced in factory : 6911 boxes
135 boxes are sold, so the factory now has 6911 - 135 = 6776
347 more boxes are produced, so we add this number to what there was in the factory: 6776 + 347 = 7123
