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Answer:
Step-by-step explanation:
L=2W
P=2(L+W), using L=2W this becomes
P=2(2W+W)
P=2(3W)
P=6W, given P=150
6W=150
W=25, and since L=2W
L=50 so
L=50ft and W=25ft
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: C or
41*67/2=1373.5
Step-by-step explanation:
Hi
The simplest solution:
y - intercept of the function on the graph is (0; 6).
Only function f(x) = (4x^2 - 7x - 2)(2x - 3) has that y-intercept
f(0) = (4 · 0² - 7 · 0 - 2)(2 · 0 - 3) = (-2)(-3) = 6
Other functions have y - intercept equal (0; -6).
f(0) = (0 ... - 2)(0 + 3) = (-2)(3) = -6 or f(0) = (0 ... + 2)(0 - 3) = (2)(-3) = -6