Answer:
15%
Step-by-step explanation:
The quantities must be in the same units
Using the conversion
I hour = 60 minutes, then
3 hours 20 minutes = ( 3 × 60) + 20 = 180 + 20 = 200 minutes.
Thus
× 100% = = 15%
Answer:
the probability that takes between 4 and 5 minutes to make the sandwich is 1/3 (33.33%)
Step-by-step explanation:
since the random variable X= time taken to make a grilled cheese sandwich is uniformly distributed, then the probability is governed by
P(a<X<b)= proportion of the time considered / total time range = (a-b)/(c-d) , where c is the maximum time and d is the minimum one
then
P(4<X<5) = (5-4)/(11-3) = 1/8 = 0.125
since we already know that takes less than 6 minutes , then
P(X<6)= P(3<X<6) = (6-3)/(11-3) = 3/8 = 0.375
then using the theorem of Bayes
P( 4<X<5 | X<6 ) = P ( 4<X<5 ∩ X<6 ) / P(X<6) = P(4<X<5)/P(3<X<6) = 0.125 /0.375 = 1/3 (33.33%)
therefore given that we already know that will take Michelle less than 6 minutes , the probability that takes between 4 and 5 minutes to make the sandwich is 1/3 (33.33%)
Answer:
there are infinite numbers but I am assuming they mean 3.9
An exponent is customarily indcated using a caret (^), the character above the "6" on most keyboards. People like to write your first term as sin^2(x), but it is perhaps better written as sin(x)^2, the square of sin(x). Note that parentheses are required to identify the argument of the sine function.
You can let some variable stand for sin(x), such as ...
.. z = sin(x)
Now, the expression can be written as
.. z^2 +z -2
This quadratic expression can be factored in the usual way: find two factors of -2 (the constant term) that add to +1 (the coefficient of z).
You know
.. -2 = -1*2 = -2*1
The first factor pair (-1, 2) sums to +1, so we can write the factorization as
.. z^2 +z -2 = (z -1)(z +2)
In terms of the trig function, this is
.. sin(x)^2 +sin(x) -2 = (sin(x) -1)*(sin(x) +2)