Answer:
b = 4
Step-by-step explanation:
y = mx + b represents the equation of a line
m represents the slope
b represents the y-intercept
Based on what we're given, we could determine that 4 is our y-intercept or b.
Take one step at a time. First, let's evaluate g(1):
g(1) = 2*1-3 = -1
now plug this into f:
f(-1) = 5*-1 = -5. So the second answer is the right one.
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Same approach for q 12, only now we have no value to fill in for x. What's confusing here is that the x's of f and g should not be mixed up. For the sake of clarity let's rewrite f as
f(z) = 5z + 9.
Now we'll write 3-4x everywhere we find a z. Ah, only one place.
f(g(x)) = 5(3-4x) + 9 = 15 - 20x + 9 = 24 - 20x
<u>Answer: </u>
Option(D) -each roll of the die has two equally likely outcomes
<u>Explanation: </u>
In probability theory, the binomial statistical distribution refers to a distinct distribution of no. of desired effects in sequential autonomous experiments, where each experiment ask a question for ‘yes’/’no’, and each with its own probable boolean-assessed outcome.
A binomial experiment must satisfy the following 4 conditions: (a) Number of trials should be fixed; (b) Every trial should be independent of another; (c) Only two outcomes are there; (d) the chance of each result from trial to trail remains
It will take 30 minutes more for remaining grass.
As he mowed 40% in 20 minutes, it shows that he mows twice percentage of grass in the time calculated in minutes.
So it will take 30 minutes for remaining 60% grass.
