Answer:
72.54
Step-by-step explanation:
Use formula for trapezoid: a+b/2 * h
Answer:
y = (-1/ 8)x - 10
Step-by-step explanation:
in slope intercept form we write the equation of a line as
y = mx + c
where m is the slope
and c is the intercept made on te y-axis
therefore, just putting the values in place
y = (-1/ 8)x - 10
therefore write -1/ 8 in the first blank and
10 in the other
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:
![P(X \geq a)](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%20a%29)
It is evaluated as:
![P(X \geq a) = \sum_{\forall \: x_i \geq a} P(X = x_i)](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%20a%29%20%3D%20%5Csum_%7B%5Cforall%20%5C%3A%20x_i%20%5Cgeq%20a%7D%20P%28X%20%3D%20x_i%29)
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:
brainly.com/question/14882721