Analysis of the voltage in certain types of circuits involves terms of the form sin(nw^0t-90 degrees) where n is a positive inte
ger, w0 is the frequency of the voltage, and t is time. Use an identity to simplify this expression.
A.cscnw0t
B.-cscnw0t
C.cosnw0t
D.-cosnw0t
A.cscnw0t
B.-cscnw0t
C.cosnw0t
D.-cosnw0t
2 answers:
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Answer:
Let the coordinate of focus be
As per the statement: The base of an auditorium is in the form of an eclipse 200 feet long and 100 feet wide.
⇒Length of Major axis=base of an auditorium = 200 feet and Length of a minor axis=wide of a auditorium = 100 ft
Semi-major axis (a) = 100 ft and
semi-minor axis(b) = 50 ft
Then, by an equation:
Solve for c:
Substitute the given values we have;
Simplify:
or
ft
Distance between the foci is,
Therefore, the distance between the foci to the nearest 10th of a foot is, 173.2 ft
Answer:
0.7019; no, it does not appear to be safe.
Step-by-step explanation:
We want to find P(X > 185). However, in a z table, we are given the area under the curve to the left of the value; this means we want to find
1 - P(X ≤ 185)
The z score for the mean of a sample is given by
For this situation, the mean, μ, is 189 and the standard deviation, σ, is 39. Our sample size, n, is 27. This gives us
z = (185-189)/(39÷√27) = -4/(39÷5.1962) = -4/7.5055 = -0.53
Using a z table, we see that the area under the curve to the left of this value is 0.2981. This means our probability is
1-0.2981 = 0.7019.