She should navigate at 45° 34' 22.7856" to go to Island C.
Given that Susan is on vacation at a tropical bay that has three islands, and she rents a boat on Island A and plans to navigate to Island C, which is 8 miles away, to determine, based on the figure below, at what angle should she navigate to go to Island C, the following calculation must be carried out, applying the cosine law:
- 11^2 = 8^2 + 15^2 - (2 x 8 x 15) x cos A
- Cos A = (8^2 + 15^2 - 11^2) / (2x8x15)
- A = arc cos (8^2 + 15^2 - 11^2) / (2x8x15)
- A = arc cos (64 + 225 - 121) / 240
- A = arc cos (168 / 240)
- A = arc cos 0.7
- A = 45.572996
Therefore, she should navigate at 45° 34' 22.7856" to go to Island C.
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Answer:
0.4655172413793
Step-by-step explanation:
45/87 ×-9/10 i
405÷870
0.4655172413793
DF=14. Because DE is half the line and EF is the other half the line you add up both the lengths to get the length of whole line.
DE=EF. DE and EF both equal 7 so they are equal.
Answer:
The player's height is 3.02 standard deviations above the mean.
Step-by-step explanation:
Consider a random variable <em>X</em> following a Normal distribution with parameter <em>μ</em> and <em>σ</em>.
The procedure of standardization transforms individual scores to standard scores for which we know the percentiles (if the data are normally distributed).
Standardization does this by transforming individual scores from different normal distributions to a common normal distribution with a known mean, standard deviation, and percentiles.
A standardized score is the number of standard deviations an observation or data point is above or below the mean.
The standard score of the random variable <em>X</em> is:

These standard scores are also known as <em>z</em>-scores and they follow a Standard normal distribution, i.e. <em>N</em> (0, 1).
It is provided that the height of a successful basketball player is 196 cm.
The standard value of this height is, <em>z</em> = 3.02.
The <em>z</em>-score of 3.02 implies that the player's height is 3.02 standard deviations above the mean.
YOUR ANSWER IS A
It has parallel sides but is not a trapezoid