We assume the wind direction is supposed to be S58°E. Then the bearing of the plane measured clockwise from north is 90°, and the direction the wind is blowing toward has a bearing of 122°. The resultant speed and direction is the sum of the two vectors, which is easily found using a suitable calculator:

583∠90° + 75∠122° = 647.8∠93.5°

The bearing of 93.5° translates to the direction S86.5°E.

_____

An angle east of south is subtracted from 180° (south) to find the equivalent bearing.

7 0

4 years ago

the radius of a cylindrical gift box is (2x + 3) inches. the height of the gift box is three times the radius. what is the surfa

RoseWind [281]

SA is formula is pi(3.14)r^2h

7 0

4 years ago

Write an inequality for the given statement: The sum of –18 and a number is more than 22. A. 18 – n < 22 B. 18 – n > 22 C.

andriy [413]

- 18 + n > 22

Obviously the answer is D

5 0

3 years ago

Listed below are the durations (in hours) of a simple random sample of all flights of a space shuttle. Find the (a) mean, (b)

-Dominant- [34]

Answer:

Mean = 212.93

Median = 231

Mode = 231

Mid range = 192.5

(B) Yes, the time of 0 hours is very unusual. It could represent a flight that was aborted.

Step-by-step explanation:

We are given the following data set:

8, 92, 231, 189, 169, 267, 196, 381, 257, 231, 385, 330, 219, 239, 0

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{3194}{15} = 212.93$

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data:

0, 8, 92, 169, 189, 196, 219, 231, 231, 239, 257, 267, 330, 381, 385

$\text{Median} = \dfrac{15 + 1}{2}^{th}\text{ term} = 8^{th}\text{ term} = 231$

Mode is the most frequent observation in the data.

Mode = 231

It repeated 2 times.

$\text{Mid range} = \dfrac{\text{Maximum value + Minimum value}}{2}\\\\= \dfrac{385 + 0}{2} = 192.5$

0 is an outlier to the given dataset. Thus,

Option (B) Yes, the time of 0 hours is very unusual. It could represent a flight that was aborted.

7 0

3 years ago