A right-angled triangle obeyes the Pythagoras theorem. This theorem states that the square of the longest side is equal to the sum of the square of the other two sides

so we will run this test on the triangle in the question

Longest side = 7

other sides = 2.5 and 6

$\begin{gathered} 7^2=2.5^2+6^2 \\ 49\text{ = 6.25 + 36} \\ 49\text{ }\ne\text{ 42.25} \\ So\text{ since both sides of the equation are not equal} \\ \text{This is not a right-angled triangle} \end{gathered}$

8 0

1 year ago

The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution wit

PilotLPTM [1.2K]

Answer: P(X<6) = 0.3085 or 30.85%

Step-by-step explanation: Determine, first, z-score:

$z = \frac{x-\mu}{\sigma}$

x is a random variable for time a student takes to find a spot, in this case, x=6:

$z = \frac{6-6.5}{1}$

z = -0.5

Using z-score table, find z-score:

P(X<6) = P(z< -0.5)

P(X<6) = 0.3085

<u>Probability of finding a parking spot in less than 6 minutes is approximately 30.85%.</u>

4 0

3 years ago