Which of the following accurately describes cot(336°)
Options are
cot(-336°)
cot(24°)
cot(-24°)
-cot(-24°)
Answer : cot(-24°)
In a circle the total angle is 360 degrees. 336 degree lies in fourth quadrant.
360 degree - 336 degree = 24 degree
+24° lies on first quadrant and -24° lies on fourth quadrant.
So cot(336) is same as cot(-24)
Answer:
a) The third quartile Q₃ = 56.45
b) Variance 
Step-by-step explanation:
Given that :
= 30.8
Median
= 48.5
Mean = 42
a) The mean is less than median; thus the expression showing the coefficient of skewness is given by the formula :




Divide both sides by 1.38

b) The objective here is to determine the approximate value of the variance;
Using the relation






Variance = 

Answer:
Point of intersection is (-2, -1).
Step-by-step explanation:
The diagonals bisect each other so we only need to find the midpoint of one of the diagonals. We'll use the diagonal qs:-
Midpoint = (-8 + 4)/2, (1 + -3)/2
= (-2, -1)
Answer:
x = 4
Step-by-step explanation:
I'd suggest you write (1/24)x = 1/6 to avoid any ambiguity about the coefficient of x.
Multiplying both sides by 24 (the LCD) will eliminate the fractions:
24(1/24)x = 24/6, or x = 4.
Answer:
Scully will catch up with Mulder by 7:30 PM.
Step-by-step explanation:
Consider the provided information.
Mulder leaves the office at 9:30a.m. averaging 57mph.
Scully leaves at 10:00a.m., following the same path and averaging 60 mph.
Distance covered by Mulder between 9:30 AM and 10:00 AM:
miles
Let t is the time taken by Scully to catch up with Mulder.
After leaving office Scully needs to cover extra distance of 28.5 miles because Mulder leaves the office earlier.
Therefore total distance cover by them is:



Hence, it would take 9 hours 30 minutes to catch up Mulder.
10 am + 9 hours 30 minutes = 7:30 pm
Therefore, Scully will catch up with Mulder by 7:30 PM.