Answer:
Step-by-step explanation:
the fraction is right, but notice that the numerator and denominator are both divisible by 16.
64 divided by 16 is 4,
80 divided by 16 is 5.
A chocolate chip cookie recipe requires one and three quarters cups of flour to one cup of chocolate chips. If four and two thir
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Answer:
f inverse of x is equal to 3 to the power of the quantity x plus 6 end quantity minus 5 all over 4
Step-by-step explanation:
The function can be thought of as a series of steps, one operation at a time:
Start with x
Multiply by 4
Add 5
Take the
Subtract 6
That gives you a function value .
To get the inverse function, read that list from the bottom up (in reverse order, using inverse operations at each step).
Start with x (a bit confusing, because this x represents the function value you get at the end of the above list).
Add 6 (add is the inverse operation of subtract)
Raise 3 to the ...
Subtract 5
Divide by 4
Let's test this out. Find f(1).
Now put -4 into the inverse function.
The final result is the number we started with when we put 1 into <em>f</em>(<em>x</em>).
Finding an inverse is reversing the action of the function <em>f</em> by doing inverse operations in "backwards" order.
A lot of authors have you do this by switching x and y in the formula for a function, then solving for <em>x</em>.
The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.
<h3>How to evaluate the probability of a random variable getting at least some fixed value?</h3>Suppose the random variable in consideration be X, and it is discrete.
Then, the probability of X attaining at least 'a' is written as:
It is evaluated as:
The probability distribution of X is:
x f(x) = P(X = x)
6 0.02
7 0.11
8 0.61
9 0.15
10 0.09
Worker working at least 8 hours means X attaining at least 8 as its values.
Thus, probability of a worker chosen at random working 8 hours is
P(X ≥ 8) = P(X = 8) + P(X = 9) +P(X = 10) = 0.85 ≈ 0.84 approx.
By the way, this probability distribution seems incorrect because sum of probabilities doesn't equal to 1.
The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.
Learn more about probability distributions here: