Answer:
Max's paper airplane flew
feet or
feet.
Step-by-step explanation:
As Nora's paper airplane flew 9 1/6 feet
i.e.

Nora's paper was farther than Max's plane flew by = 2 3/4 feet
i.e.

Thus the equation to show how far Max's paper airplane flew is:










Therefore, Max's paper airplane flew
feet or
feet.
(a) Yes all six trig functions exist for this point in quadrant III. The only time you'll run into problems is when either x = 0 or y = 0, due to division by zero errors. For instance, if x = 0, then tan(t) = sin(t)/cos(t) will have cos(t) = 0, as x = cos(t). you cannot have zero in the denominator. Since neither coordinate is zero, we don't have such problems.
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(b) The following functions are positive in quadrant III:
tangent, cotangent
The following functions are negative in quadrant III
cosine, sine, secant, cosecant
A short explanation is that x = cos(t) and y = sin(t). The x and y coordinates are negative in quadrant III, so both sine and cosine are negative. Their reciprocal functions secant and cosecant are negative here as well. Combining sine and cosine to get tan = sin/cos, we see that the negatives cancel which is why tangent is positive here. Cotangent is also positive for similar reasons.
Answer:
0.5996 is the probability that none contain high levels of contamination.
Step-by-step explanation:
We are given the following information:
We treat lab specimen containing high levels of contamination as a success.
P( lab specimen containing high levels of contamination) = 0.12
Then the number of lab specimens follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 4
We have to find the probability that none of the lab specimen consist of high level of contamination.
We have to evaluate:
0.5996 is the probability that none contain high levels of contamination.
Answer:
624
Step-by-step explanation:
Width: 104
Length: 208
104+104+208+208=624