Answer:
The statement is true
Step-by-step explanation:
Most proofs are direct proofs becaue theorums & postulates prove them true straightforwardly :)
Answer:
The actual length of the wall is 10.5 m
Step-by-step explanation:
Write and solve an equation of ratios to answer this question:
2 cm 3 m
--------- = ---------
7 cm L
Solve this for L by inverting both sides:
7cm L
---------- = --------
2 cm 3 m
and then multiplying both sides by 3m:
21
----- = L
2
The actual length of the wall is 10.5 m
Answer:
- 6°F
Step-by-step explanation:
Given :
Temperature at 6:00 = 15°F
Temperature dropped by 9°F by 8:00
Temperature by 8:00 = 15°F - 9°F = 6°F
Temperature dropped another 12°F by 11:00
Hence, Temperature at 11:00 will be :
6°F - 12°F = - 6°F
Temperature at 11:00 = - 6°F
Answer:
0.182 probability that the Yankees will win when they score fewer than 5 runs
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this problem:
When the Yankees score less than 5 runs, either they win, or they lose. The sum of these probabilities is 1.
Probability they lose:
Event A: Scoring fewer than 5 runs.
Event B: Losing
The probability that the Yankees will score 5 or more runs in a game is 0.56.
So 1 - 0.56 = 0.44 probability the Yankees score fewer than 5 runs.
This means that 
The probability that the Yankees lose and score fewer than 5 runs is 0.36.
This means that 
Then the probability they lose is:

Probability they win:
p + 0.818 = 1
p = 0.182
0.182 probability that the Yankees will win when they score fewer than 5 runs