Answer:
99 dollars
Step-by-step explanation:
90 divided by 5 equals 18 slice that in half you get 9.
90 + 9 =99
Length of the other leg of the triangle is √65 units
Step-by-step explanation:
- Step 1: Find the length of the other leg using Pythagoras Theorem.
Hypotenuse² = One side² + Other side²
9² = 4² + Other leg²
Length of the other leg² = 81 - 16 = 65
⇒ Length of the other leg of the triangle = √65
Answer:
Interest rate ≈ 3.48%
Step-by-step explanation:
Answer:
a) 13440
b) 4200
Step-by-step explanation:
a) The six people are different people. The possible combinations of couples from which the people are chosen is 10C6
For each choice of different couples either male or female, we have 2^6 possible outcomes.
So we have
(10C6) * 2^6
= (10! / (10-6)!6!) * 2^6
= (10! / 4!6!) * 2^6
= 210 * 2^6
= 13440
b) if the group has to have three men and three women, we choose the six different couples in 10C6 ways. From these six, there are 6C3 possibilities to choose from which couple to pick Female. From the rest we choose male.
We then have
(10C6)(6C3)
= (10!/ (10-6)!6!) * (6!/(6-3)!3!)
= (10!/4!6!) * (6!/3!3!)
= 210 * 20
= 4200
Answer:
60 mph
Step-by-step explanation:
Their average speed while driving is ...
speed = distance / time
= (270 mi)/((3 + 1.5) h) = 60 mi/h
The Johnson family averaged 60 mph <em>while driving</em>.
__
Their average speed for the trip is unknown, because we don't know how long the lunch stop was.