<span>a) This is the sum of the probabilities of winning in 1, 2 or 3 boxes.
0.02 + (0.98*0.02) + (0.98*0.98*0.02) = 0.0588
b) Exactly three boxes requires the first two to lose.
(0.98*0.98*0.02) = 0.0192
c) This is the complement of answer for a).
1-.0588 = .9412</span>
Answer:
j = 19.6
k = 25.9
J = 49°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships between sides and angles in a right triangle.
<h3>Analysis</h3>
The given side is opposite the given angle. We want to find the other acute angle and the missing sides: the hypotenuse, and the adjacent side. The relations involving the opposite side are ...
Sin = Opposite/Hypotenuse ⇒ Hypotenuse = Opposite/Sin
Tan = Opposite/Adjacent ⇒ Adjacent = Opposite/Tan
Of course, the acute angles in a right triangle are complementary, so we can use that fact to find the missing angle.
<h3>Application</h3>
Hypotenuse = Opposite/Sin
IJ = 17/sin(41°) ≈ 25.9
Adjacent = Opposite/Tan
IK = 17/tan(41°) ≈ 19.6
Angle J = 90° -41° = 49°
In summary, ...
j = 19.6
k = 25.9
J = 49°
Answer:
7.2 gallons
Step-by-step explanation:
2.25 x 3.2 = 7.2
Answer:
The Answer is B.
Step-by-step explanation:
First of all, it is a ratio. I know that for a fact, but not very sure about the candy part. What I think it means is that they are comparing two types of candy.