Answer:
i. Colonel is about 201 feet away from the fire.
ii. Sarge is about 125 feet away from the fire.
Step-by-step explanation:
Let the Colonel's location be represented by A, the Sarge's by B and that of campfire by C.
The total angle at the campfire from both the Colonel and Sarge = +
=
Thus,
<CAB = - =
<CBA = - =
Sine rule states;
= =
i. Colonel's distance from the campfire (b), can be determined by applying the sine rule;
=
=
=
cross multiply,
b =
= 200.8993
Colonel is about 201 feet away from the fire.
ii. Sarge's distance from the campfire (a), can be determined by applying the sine rule;
=
=
=
cross multiply,
a =
= 124.8073
Sarge is about 125 feet away from the fire.
Answer:
y=-3/2x+10
Step-by-step explanation:
Plug in the point and the slope to the point-slope form equation (y-y1=m(x-x1)), getting y-1=-3/2(x-6). Simplify. y-1=-3/2x+9. Add one to both sides to isolate y, therefore giving you slope-intercept form.
Answer:
the probability that 0≤x≤1/2 and 1/4≤y≤1/2 is 3/64 (4.68%)
Step-by-step explanation:
assuming that X and Y are independent variables for the probability density function f(x,y) :
f(x,y) = 4*x*y for 0≤x≤1 and 0≤y≤0
f(x,y) = 0 elsewhere
then the probability is calculated through:
P(x,y)= ∫f(x,y) dx dy = ∫4xy dx dy
for 0≤x≤1/2 and 1/4≤y≤1/2 we have
P(0≤x≤1/2,1/4≤y≤1/2 ) = ∫4xy dx dy = ∫4xy dx dy = 4*∫x dx ∫y dx = 4*[((1/2)²/2-0²/2)] *[(1/2)²/2-(1/4)²/2)] = 1 * 1/4 * (1/4-1/16) = 1 * 1/4 * 3/16 = 3/64
then the probability that 0≤x≤1/2 and 1/4≤y≤1/2 is 3/64 (4.68%)
Answer: parabola
Step-by-step explanation:
Answer:
85
Step-by-step explanation:
Given that :
Mean height , μ = 166
Standard deviation, σ = 8
Sample size, n = 1000
Using the Zscore formula :
Zscore = (x - μ) / σ
x = 177
Z = (177 - 166) / 8
Z = 1.375
P(Z > 1.375) = 0.084566(Area to the right of Z)
P(Z > 1.375) * n
0.084566 * 1000 = 84.566 = 85 soldiers