The area is 1,665 inches squared.
Answer:
y = -1x + 5
Step-by-step explanation:
Answer:
35/128 ≈ 0.2374
Step-by-step explanation:
The number of combinations of 7 things taken 3 at a time is ...
7·6·5/(3·2·1) = 7·5 = 35
The number of sequences in which the coins can land is 2^7 = 128.
Of those 128 sequences, 35 will have exactly 3 heads.
The probability is 35/128.
Answer:
4 mph
Step-by-step explanation:
Let's say m is the speed of the motor boat, and r is the speed of the river.
20 minutes is 1/3 hour, and 30 minutes is 1/2 hour.
Distance = rate × time
8 = (m + r) × 1/3
8 = (m − r) × 1/2
We want to find the value of r. Let's start by solving for m in one equation, then substitute into the other.
8 = (m − r) × 1/2
16 = m − r
m = r + 16
8 = (m + r) × 1/3
8 = (r + 16 + r) × 1/3
8 = (2r + 16) × 1/3
24 = 2r + 16
8 = 2r
r = 4
The speed of the river's current is 4 miles per hour.
