Answer:
The height of triangle is ![6\ in](https://tex.z-dn.net/?f=6%5C%20in)
Step-by-step explanation:
we know that
The area of a triangle is equal to
![A=(1/2)bh](https://tex.z-dn.net/?f=A%3D%281%2F2%29bh)
In this problem we have
![b=3h](https://tex.z-dn.net/?f=b%3D3h)
![A=54\ in^{2}](https://tex.z-dn.net/?f=A%3D54%5C%20in%5E%7B2%7D)
substitute in the formula and solve for h
![54=(1/2)(3h)h](https://tex.z-dn.net/?f=54%3D%281%2F2%29%283h%29h)
![108/3=h^{2}](https://tex.z-dn.net/?f=108%2F3%3Dh%5E%7B2%7D)
![h^{2}=36](https://tex.z-dn.net/?f=h%5E%7B2%7D%3D36)
![h=6\ in](https://tex.z-dn.net/?f=h%3D6%5C%20in)
If i can see it right, it would be A because it starts at 30, then rises as the number of rooms increases.
Not the greatest example, but the only way I could really show you what the graph looks like. Hope it helps
<u>Complete Question</u>
The probability distribution table is given below:
![\left|\begin{array}{c|ccccccc}x&0&1&2&3&4&5&6\\P(x) &0.33 &0.24& 0.16& 0.12 &0.08 &0.05& 0.02\end{array}\right|](https://tex.z-dn.net/?f=%5Cleft%7C%5Cbegin%7Barray%7D%7Bc%7Cccccccc%7Dx%260%261%262%263%264%265%266%5C%5CP%28x%29%20%260.33%20%260.24%26%200.16%26%200.12%20%260.08%20%260.05%26%200.02%5Cend%7Barray%7D%5Cright%7C)
Answer:
1.61
Step-by-step explanation:
The probability distribution table is given below:
![\left|\begin{array}{c|ccccccc}x&0&1&2&3&4&5&6\\P(x) &0.33 &0.24& 0.16& 0.12 &0.08 &0.05& 0.02\end{array}\right|](https://tex.z-dn.net/?f=%5Cleft%7C%5Cbegin%7Barray%7D%7Bc%7Cccccccc%7Dx%260%261%262%263%264%265%266%5C%5CP%28x%29%20%260.33%20%260.24%26%200.16%26%200.12%20%260.08%20%260.05%26%200.02%5Cend%7Barray%7D%5Cright%7C)
We want to determine the mean number of times a person gave blood.
Expected Value, ![E(x)=\sum x_i\cdot P(x_i)](https://tex.z-dn.net/?f=E%28x%29%3D%5Csum%20x_i%5Ccdot%20P%28x_i%29)
![=(0 \times 0.33)+ (1 \times 0.24)+(2\times0.16)+(3\times0.12)+(4\times0.08)+(5\times0.05)+(6\times0.02)\\=0+0.24+0.32+0.36+0.32+0.25+0.12\\=1.61\\](https://tex.z-dn.net/?f=%3D%280%20%5Ctimes%200.33%29%2B%20%281%20%5Ctimes%200.24%29%2B%282%5Ctimes0.16%29%2B%283%5Ctimes0.12%29%2B%284%5Ctimes0.08%29%2B%285%5Ctimes0.05%29%2B%286%5Ctimes0.02%29%5C%5C%3D0%2B0.24%2B0.32%2B0.36%2B0.32%2B0.25%2B0.12%5C%5C%3D1.61%5C%5C)
The mean number of times a person gave blood based on this survey is 1.61.
Answer:
The function notation is when we represent one of the coordinate points as a function of the other ones.
In the general case, we will have:
y = f(x)
Now, we have that:
y = 7*x - 2
Then the function notation will be:
y = f(x) = 7*x - 2
or simply
f(x) = 7*x - 2