Answer:
Step-by-step explanation:
Given that a popcorn company builds a machine to fill 1 kg bags of popcorn. They test the first hundred bags filled and find that the bags have an average weight of 1,040 grams with a standard deviation of 25 grams.
i.e. Sample mean = 1040 and
Sample std dev s = 25 gm
Sample size n = 100
Hence by central limit theorem we have the sample mean follows a normal distribution with mean =1040 and std dev = s = 25 gm
Normal curve would be with mean 1040 and std deviatin 25
b) P(X>1115)
= 1-0.9987
=0.0013
i.e. 0.13% would receive a bag that had a weight greater than 1115 grams
Answer:
y=-1/4x-6
Step-by-step explanation:
The problem wants the form y=mx+b where m is the slope and b is the y-intercept.
The y-intercept in this case is -6 (where the line intercepts the y-axis).
We can use points (0,-6) and (4,-7) to calculate the slope. We just divide the difference in y-values by the difference in x-values.
-6-(-7)/0-4=-6+7/-4=1/-4=-1/4
So the equation of the line is y=-1/4x-6
Answer:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
We have the equation of a line in the standard form:
Convert to the slope-intercept form:
<em>subtract 12x from both sides</em>
<em>divide both sides by (-4)</em>
The answer is 5/26 because there are 5 vowels and 26 letters in the alphabet
All you need to do here is just find the ratio of red marbles to all of the marbles.
<u> 2 red </u>
2 red + 3 blue + 5 yellow + 2 green
when you add everything up, you get 2/12, which is equal to 1/6.
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