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beks73 [17]
3 years ago
5

research suggests that the probability of a certain fuse malfunctioning increases exponentially as the concentration of an impur

ity in the fuse increases. the probability is modeled by the function y=3(257,959)x where x is the impurity concentration and y, given as a percent, is the probability of the fuse malfunctioning. find the probability of the fuse malfunctioning for an impurity concentration of 0.17. round to the nearest percent.
Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0
Given that the probability <span>is modeled by the function
y=3(257,959)^x[tex]  where x is the impurity &#10;concentration and y, given as a percent, is the probability of the fuse &#10;malfunctioning.\\Then, the probability of the fuse malfunctioning for an impurity concentration of 0.17 is given by [tex]y=3(257,959)^{0.17}=3(8.316941)=24.95

Therefore, the <span>probability of the fuse malfunctioning for an impurity concentration of 0.17 is 25% to the nearest percent.</span>
</span>
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