Answer:
Z = 0.375
Step-by-step explanation:
Z varies inversely as d ^ 3
so Z ∝ 1 / d ^ 3
To convert proportionality to equality,
Z ∝ 1 / d ^ 3,
Z = k / d ^ 3,
K is proportionality constant,
First we find k by putting values Z = 3 and d = 2,
Z = k / d ^ 3,
=> k = Z d ^ 3,
=> k = 3 ( 2 ) ^ 3,
=> k = 3 x 8,
So value of k is 24
Now find Z by putting values
k = 24 and d = 4
Z = k / d ^ 3,
Z = 24 / ( 4 ) ^ 3
Z = 24 / 64
Z = 0.375
38F, 32F, 23F, -6F, -10F, -11F, -17F
Answer:
0.8762 or 87.62%
Step-by-step explanation:
Since our mean is μ=14.3 and our standard deviation is σ=3.7. If we're trying to figure out what percentage is P(10 ≤ x ≤ 26) equal to we must first calculate our z values as such:
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
Our x value ranges from 10 to 26 therefore let x=10 and we obtain:
![z=\frac{10-14.3}{3.7} =-1.16\\](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B10-14.3%7D%7B3.7%7D%20%3D-1.16%5C%5C)
If we look at our z-table we find that the probability associated with a z value of -1.16 is 0.1230 meaning 12.30%.
Now let's calculate the z value when x = 26 and so:
![z=\frac{26-14.3}{3.7}=3.16\\](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B26-14.3%7D%7B3.7%7D%3D3.16%5C%5C)
Similarly, we use the z-table again and find that the probability associated with a z value of 3.16 is 0.9992 meaning 99.92%.
Now we want to find the probability in between 10 and 26 so we will now subtract the upper limit minus the lower limit in P(10 ≤ x ≤ 26) therefore:
0.9992 - 0.1230 = 0.8762
or 87.62%
Answer:
moved 3 units to the right
Step-by-step explanation: