Order the following fractions from least to greatest. 3/8, 5/6,3/2, ½
2 answers:
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Answer:
Step-by-step explanation:
Prob at each second, a mosquito lands on your neck =0.5
Prob it bites/it lands = 0.2
Prob it does not bite/it lands = 0.8
Hence in one second prob for getting a bite =
i.e. 1/100 chance of getting bitten in one second
In 100 seconds number of bites
Expected time between successive bites = 100
we have that
I. Rewrite the equation by substituting the expression u in for sin x.
II. Factor the quadratic expression. Rewrite the equation with factors instead of the original polynomial.
is equal to
using a graph calculator-----> see the attached figure
III. Use the zero product property to solve the quadratic equation.
(u-3)=0--------------> u=3
(2u+1)=0-------- 2u=-1------> u=-1/2-----> u=-0.5
IV. Rewrite your solutions to Part III by replacing u with sin x.
sin x=3--------> is not the solution (sin x can not be greater than 1)
sin x=-0.50------>is the solution
V. Solve the remaining equations for x, giving all solutions to the equation.
sin x=-0.50
if the sine is negative
then
x belong to the III or IV quadrant
we know that
sin 30°=0.50
so
the solution for the III quadrant is
x=180°+30°-------> x=210°
the solution for the IV quadrant is
x=360°-30°------> x=330°
