Answer:
x is 20
Step-by-step explanation:
Answer:
±6
Step-by-step explanation:
Given the mathematical expression;
√36 < √42 < √49
But, √36 = 6 * 6 = 6²
√49 = 7 * 7 = 7²
Simplifying further, we would substitute the new values respectively;
±[6] < √42 < ±[7]
Therefore, evaluating √36 is equal to ±6.
Answer:
Shannon run 1.5 km more on Friday than on Saturday.
Step-by-step explanation:
From the given table
- Distance run on Friday = 4/2 = 2 km
- Distance run on Saturday = 1/2 = 0.5 km
- In order to run how many more kilometers Shannon run on Friday than on Saturday, we need to subtract the distance run on Saturday from the distance run on Friday.
i.e.
Friday run - Saturday run = 2 - 0.5
= 1.5 km
Thus, Shannon run 1.5 km more on Friday than on Saturday.
Answer:
81
Step-by-step explanation:
Its a perfect square and 27*3=81
Answer:
The expected value of lateness
hours.
Step-by-step explanation:
The probability distribution of lateness is as follows:
Lateness P (Lateness)
On Time 4/5
1 Hour Late 1/10
2 Hours Late 1/20
3 Hours Late 1/20
The formula of expected value of a random variable is:
![E(X)=\sum x\cdot P(X=x)](https://tex.z-dn.net/?f=E%28X%29%3D%5Csum%20x%5Ccdot%20P%28X%3Dx%29)
Compute the expected value of lateness as follows:
![E(X)=\sum x\cdot P(X=x)](https://tex.z-dn.net/?f=E%28X%29%3D%5Csum%20x%5Ccdot%20P%28X%3Dx%29)
![=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}](https://tex.z-dn.net/?f=%3D%280%5Ctimes%20%5Cfrac%7B4%7D%7B5%7D%29%2B%281%5Ctimes%20%5Cfrac%7B1%7D%7B10%7D%29%2B%282%5Ctimes%20%5Cfrac%7B1%7D%7B20%7D%29%2B%283%5Ctimes%20%5Cfrac%7B1%7D%7B20%7D%29%5C%5C%5C%5C%3D0%2B%5Cfrac%7B1%7D%7B10%7D%2B%5Cfrac%7B1%7D%7B10%7D%2B%5Cfrac%7B3%7D%7B20%7D%5C%5C%5C%5C%3D%5Cfrac%7B2%2B2%2B3%7D%7B20%7D%5C%5C%5C%5C%3D%5Cfrac%7B7%7D%7B20%7D)
Thus, the expected value of lateness
hours.