Since we know that ratio of AB : AC is 1 : √2, then we can more or less use those values for the sides, check the picture below.
so we're really looking for tan(2A). Let's bear in mind that tan²(θ) is just another way to write [ tan(θ) ]².
Expected value = Sum of Probability * Cost of each ice cream.
Expected value
= 50%* $1.20 + 30%* $2.00 + 2<span>0%* $3.50
</span>
= 0.50* $1.20 + 0.30* $2.00 + 0.2<span>0* $3.50
</span>
= $1.90
Expected value of the cost of one ice cream = $1.90
Answer:
In order to satisfy the inequality x has to be less than 7/12.
Step-by-step explanation:
The inequality is 1/4 + x < 5/6 in order to solve this inequality we need to isolate the value of x, that is our variable of interest. This is shown bellow:
1/4 + x < 5/6
x < 5/6 - 1/4
Applying LMC to subtract the fractions we have:
x < (2*5 - 3*1)/12
x < (10 - 3)/12
x< 7/12
In order to satisfy the inequality x has to be less than 7/12.
Answer:
B, 66.4%
Step-by-step explanation: