Answer:
Step-by-step explanation:
Density is the ratio of an object's mass to its volume, and it measures how compact an object is. The density of an object, p, is directly proportional to its mass, m, and inversely proportional to its volume, V:
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Answer:
(-2, 3)
Step-by-step explanation:
A is translated from (5, 1) to A' at (6, -2).
That is, it moves <em>one unit to the right and three units down</em>.
B is also translated to B' one unit to the right and three units down to (-1, 0).
B must be <em>one unit to the left and three units above B'</em>.
Thus, the coordinates of B are (-2, 3).
The diagram below shows the translation of side AB of ∆ABC to its new location at A'B'.
Answer:
11.11% probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Forecast of rain.
Event B: Raining.
In recent years, it has rained only 5 days each year.
A year has 365 days. So
When it actually rains, the weatherman correctly forecasts rain 90% of the time.
This means that
Probability of forecast of rain:
90% of 0.0137(forecast and rains)
10% of 1 - 0.0137 = 0.9863(forecast, but does not rain)
What is the probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain
11.11% probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain