Answer:
v= 5/6
Step-by-step explanation:
You have to divide -6 on both sides to isolate the variable V. Then it would become -5/-6. The negative signs cancel out.
Answer:
a) 4.387
b) Yes, because np & npq are greater than 10.
c) = 0.017
Step-by-step explanation:
Give data:
p = 0.69
n = 90
a) a
E(X) = np = 62.1
![SD(X) = \sqrt{(np(1-p))}](https://tex.z-dn.net/?f=SD%28X%29%20%3D%20%5Csqrt%7B%28np%281-p%29%29%7D)
![=\sqrt{90\times 0.69(1- 0.69)}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B90%5Ctimes%200.69%281-%200.69%29%7D)
= 4.387
b)
np = 62.1
q = 1 - p = 1 - 0.69 = 0.31
npq = 19.251
Yes, because np & npq are greater than 10.
c.
[continuity correction]
![= P(Z> \frac{((71.5-62.1)}{ 4.387})](https://tex.z-dn.net/?f=%3D%20%20%20%20P%28Z%3E%20%5Cfrac%7B%28%2871.5-62.1%29%7D%7B%204.387%7D%29)
= P(Z> 2.14 )
= 1 - P(Z<2.14)
= 1 - 0.983 (using table)
= 0.017
The answer here is 275 miles, because it is going at 55 miles per hour. you can find this out by dividing the miles by the hours. Hope this helps.
Answer:
10
Step-by-step explanation:
30 - 1, 2, 3, 5, 10, 15, 30
100- 1, 2, 4, 5, 10, 20, 25
Answer:
See explanation
Step-by-step explanation:
The question has missing details, as the diagram of the prism is not shown.
However, I'll solve using a general rule.
The volume of a triangular prism is:
![Volume = \frac{1}{2}* b * h * l](https://tex.z-dn.net/?f=Volume%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2A%20b%20%2A%20h%20%2A%20l)
Where
![b = base](https://tex.z-dn.net/?f=b%20%3D%20base)
![h = height](https://tex.z-dn.net/?f=h%20%3D%20height)
![l = length](https://tex.z-dn.net/?f=l%20%3D%20length)
Take for instance:
![b = 20cm](https://tex.z-dn.net/?f=b%20%3D%2020cm)
![h = 10cm](https://tex.z-dn.net/?f=h%20%3D%2010cm)
![l = 5cm](https://tex.z-dn.net/?f=l%20%3D%205cm)
The volume is:
![Volume = \frac{1}{2} * 20cm * 10cm * 5cm](https://tex.z-dn.net/?f=Volume%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%2020cm%20%2A%2010cm%20%2A%205cm)
![Volume = 10cm * 10cm * 5cm](https://tex.z-dn.net/?f=Volume%20%3D%2010cm%20%2A%2010cm%20%2A%205cm)
![Volume = 500cm^3](https://tex.z-dn.net/?f=Volume%20%3D%20500cm%5E3)
Another instance (see attachment).
From the attachment:
![b = 4.5cm](https://tex.z-dn.net/?f=b%20%3D%204.5cm)
![h = 5cm](https://tex.z-dn.net/?f=h%20%3D%205cm)
![l = 8cm](https://tex.z-dn.net/?f=l%20%3D%208cm)
The volume is:
![Volume = \frac{1}{2} * 4.5cm * 5cm * 8cm](https://tex.z-dn.net/?f=Volume%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%204.5cm%20%2A%205cm%20%2A%208cm)
![Volume = 2.25cm * 5cm * 8cm](https://tex.z-dn.net/?f=Volume%20%3D%202.25cm%20%2A%205cm%20%2A%208cm)
![Volume = 90cm^3](https://tex.z-dn.net/?f=Volume%20%3D%2090cm%5E3)