Applying the cosine law, we can determine:
<span>c</span>²<span> = a</span>²<span> + b</span>²<span> - 2abcos(C) </span>
<span>where: </span>
<span>a, b, and c represent the sides of the triangle and C indicates the angle opposite to side c</span>
<span>Thus, we have:</span>
<span>150</span>²<span> = 240</span>²<span> + 200</span>²<span> - 2(240)(200)cos(C) </span>
<span>Now we solve for C</span>
<span>22,500 = 57,600 + 40,000 - 96,000cos(C) </span>
<span>22,500 - 57,600 - 40,000 = -96,000cos(C)
</span>-75,100=-96,000cos (C)
cos (C)=0.7822916
C=arc cos(0.7822916)→ C=38.53°
<span>Therefore, the direction the captain should head towards island B is
180 - 38.53 </span><span>= 141.47 degrees</span>
Answers:
C - The value of w cannot be negative.
D - The variable l is substituted with the value 20.
E - To isolate the variable w, the subtraction property of equality is applied.
~ .
Answer: 0.1289
Step-by-step explanation:
Given: The proportion of students absent on Mondays at a large university.: 
Sample size: 
Mean: 
Standard deviation = 
Let x represent a binomial variable.
Referencing the standard normal distribution table,
(1)
Z score for normal distribution:-
For x=4
For x=3
Thus, from (1)
Consequently, the likelihood of four students being absent = 
Response: The accurate statements include:-
There are nearly equal quantities of points located above and below the x-axis.
The points are distributed haphazardly without a distinct pattern.
The total number of points matches that of the scatter plot.
Explanation:
- A residual plot illustrates residuals on the vertical axis against the independent variable on the horizontal axis.
Consequently, the count of points is on par with the scatter plot, and roughly the same amount of points exist above and below the x-axis.
Given the random distribution of the points throughout the plot, it signifies there is no correlation, therefore, the points are scattered randomly without a clear arrangement.
Because SI units are structured around powers of 10, you can shift the decimal point to convert; imperial units lack that base-10 organization, so the decimal-shifting method doesn't apply.
