Answer:
100 degrees
Step-by-step explanation:
Arc QM = Arc QN = 130°
Arc MN = 360 - Arc QM - Arc QN
= 360 - 2(130)
= 360 - 260
= 100°
Answer:
15 km/h
Step-by-step explanation:
Leo takes 15 minutes to cycle to school at an average speed of 12 km/h. What speed will he have if he only takes 12 minutes?
15 minutes * (1 hour)/(60 minutes) = 0.25 hour
speed = distance/time
distance = speed * time
distance = 12 km/h * 0.25 hour = 3 km
He cycles a distance of 3 km.
12 minutes * (1 hour)/(60 minutes) = 0.2 hour
speed = distance/time
speed = 3 km/(0.2 hour)
speed = 15 km/h
For this case we must find the inverse of the following function:

We follow the steps below:
Replace f(x) with y:

We exchange the variables:

We solve for "y":

Multiply by -2 on both sides of the equation:

We raise both sides of the equation to the square to eliminate the radical:

We subtract 3 from both sides of the equation:

We change y by f ^ {- 1} (x):

Answer:
Answer:
The probability that exactly three of them are comfortable with delivery by drones is 0.2583.
Step-by-step explanation:
Let <em>X</em> = number of consumers comfortable having drones deliver their purchases.
The probability of the random variable <em>X</em> is, P (X) = <em>p</em> = 0.43.
Then <em>q</em> is, <em>q</em> = 1 - p
A sample of <em>n</em> = 5 consumers are selected.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.
The pmf of <em>X</em> is:

Compute the value of P (X = 3) as follows:

Thus, the probability that exactly three of them are comfortable with delivery by drones is 0.2583.
The third one will be the answer