Answer:
b = sqrt(57)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
8^2 + b^2 = 11^2
64+ b^2 = 121
Subtract 64
b^2 = 121-64
b^2 =57
Take the square root of each side
b = sqrt(57)
Answer:
4x + 1
f + g(x) = f(x) + g(x) → Add the two functions together
3x - 1 + (x + 2)
3x - 1 + x + 2
3x + x − 1 + 2 → Combine like terms
4x + 1
Answer:
a) 10 weeks
b) P(k≤2)=0.190
c) P(k>17)=0.167
Step-by-step explanation:
This problem can be solved applying the geometric distribution.
The probability of needing k weeks to find an acceptable apartment can be written as:
a) The expected value of this distribution is:
Answer: 10 weeks
b) The probability of finding an acceptable department in the first 2 weeks is:
c) We have to calculate P(k>17)
Answer:
35 units
Step-by-step explanation:
Using Pythagoras Thereoem:
a² + b² = c²
21² + 28² = c²
c = √21² + 28² = √441 + 784 = √1,225 = 35 units
