Explain 15 is not a prime factor
1 answer:
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Answer:
Step-by-step explanation:
Given
Required
Select 3 equivalent expressions
Express 9 as 3^2
--- This is one equivalent expression
Take as difference of two squares
-- This is another equivalent expression:
Solving further:
becomes
-- This is another equivalent expression:
Hence, the equivalent expressions are:
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
Answer:
9 inches
Step-by-step explanation:
The volume of a pyramid is given as:
where l = length of base of pyramid
w = width of base of pyramid
h = height of pyramid
The volume of the cylinder is already known ( ) and the other two dimensions are known as 5 in and 7 in.
From the formula of the volume of the pyramid, the height of the pyramid is given as:
Hence, the height of the pyramid is:
The pyramid's height is 9 inches.