Answer: P(22 ≤ x ≤ 29) = 0.703
Step-by-step explanation:
Since the machine's output is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = output of the machine in ounces per cup.
µ = mean output
σ = standard deviation
From the information given,
µ = 27
σ = 3
The probability of filling a cup between 22 and 29 ounces is expressed as
P(22 ≤ x ≤ 29)
For x = 22,
z = (22 - 27)/3 = - 1.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.047
For x = 29,
z = (29 - 27)/3 = 0.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.75
Therefore,
P(22 ≤ x ≤ 29) = 0.75 - 0.047 = 0.703
Hello!
We separate this into three sections
we are looking for a graph that has a line where x is greater than -3 and less than -2 while the circles not shaded since it does have the or equal to sign
The graphs that have this is the first and the third
Next we can look for the graph that has x greater than or equal to -2 and less than 3 with the one at -2 shaded but the one at 3 not
The graph that follows this is the third graph
The answer is the third one
Hope this helps!
<span>So, they are looking for the percentage that is NOT explained...
Well, given the r we can find the percentage that IS explained by it first. That's given by r^2.
</span>Now - let's take the square of r it gives me .481636. That means that about 48% IS explained. Therefore, the part that cannot be explained
must be the missing part (out of 100% <span>so
100% - 48.1636% should be it :)
</span>
<span>So 100% - 48.1636% = 0.518364 and we want to round that off to three decimal places which will give us 0.518... and then we could convert that to a percent for the final. So 0.518 as a percentage is 51.8%! s</span>
C.33.33%
There is a 3 out of 9 chances for the spinner on 3,6, or 8. divide 3 by 9 and multiple by a 100 to get the percentage.
