Use the description below to complete Exercises 4-5.
A manufacturer of flea collars for animals that weigh less than 5 kilograms
injects the collars with 15 milligrams of a biocide that only acts on fleas.
The manufacturer will release a collar that has no less than 14 milligrams
and no more than 16 milligrams of insecticide. The following list shows the
result of sampling 36 collars from an actual production run of 720 collars.
17. 4.10 2 6 15 15 6 14 16 14. 15. (15) 15. 16. 13. 13,
13. 13, 13. 14)13, 17(14) 1513.14, 15, 16, 17, 14. 17. 14 15
4. How many flea collars out of a production run of 720 collars would be
acceptable to ship according to this sample? Explain your reasoning.

write out the polynomial, with leading coefficient 1:

y = 1 (x+2)^1 (x-7)^1 (x-5)^2

next time, share the answer choices.   .

  b:   ∠x = 28.6°, ∠y = 31.2°, ∠z = 120.2°

step-by-step explanation:

this is one of those questions where "test taking skill" is all you need. the only answer that has angles that sum to 180° is the one shown above. the remaining choices do not describe the angles of a triangle.

if you want to do more work than simply adding the offered numbers, you can also check them against the law of sines. it should be true that

  x/sin(x) = y/sin(y) = z/sin(z)

and all of these ratios must be greater than 15, the longest side length.

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if you want to solve the triangle from scratch, i'd suggest solving for the largest angle using the law of cosines.

  z² = x² +y² -2xy·cos(z)

  z = arccos((x² +y² -z²)/(2xy)) = arccos(-75.11/149.4) = 120.182°

now you can find y from the law of sines

  y = arcsin(y/z·sin(z)) = 31.242°

during a construction project, engineers used explosives to excavate 140 feet of tunnel into a mountain. but because of time constraints and environmental concerns, they brought in a tunnel boring machine (tbm) to excavate the rest of the tunnel. the data table lists some observations an engineer made about the length of the tunnel after the tbm was introduced.

which equation represents the length of the completed tunnel based on the number of days since tbm was introduced?

the answer is y = 45x + 140