Answer:
8008
Step-by-step explanation:
This is the selection of 6 elements out of 16 elements. Applying the combination formula, the total number of selections is nCr with n =16 and r =6.
16C6 = 8008
Answer: I think it’s a
Step-by-step explanation:
Answer:
A. P(success/age≥60) = 12.5%
B. Yes, the success is independent of age.
Step-by-step explanation:
Probability of success, given that a climber is at least 60 years old is calculated using conditional probability rule
P(A|B) = P(A n B)/P(B)
Probability of success given that a climber is at least 60 years old is given by
P(success|age≥60) = P(success n age ≥ 60)/P(age ≥ 60) = 0.005/0.04
= 0.125
P(success|age≥60) = 12.5%
B. The success is independent on age
You need to understand what the concept behind this problem is. Usually, in a triangle, adding measures and setting the sum equal to 180 is done when you know the measures of the 3 angles of a triangle since the sum of the measures of a triangle equals 180. Here, the expressions are the lengths of two sides of two different triangles.
Here is what you need to know to solve this problem.
First, here's a definition:
A midsegment of a triangle is a segment that has as endpoints the midpoints of two sides of the triangle.
Look at the big triangle above. The left side is separated into two congruent segments. The point in the middle is the midpoint of that side. The right side of the big triangle is also separated into two congruent segments. The point in the middle is the midpoint of that side. The segment labeled x + 5 is a midsegment of the large triangle since it joins the midpoints of two sides of the triangle.
Here is a theorem about the midesgment of a triangle.
The midsegment of a triangle is a segment that has as endpoints the midpoints of two sides of a triangle. The midsegment is parallel to and half the length of the third side of the triangle.
The part you need is "The midsegment is parallel to and half the length of the third side of the triangle." The midsegment that measures x + 5 is half the length of the segment that measures 3x - 1. Now we can write an equation and solve for x.
Multiply both sides by 2.
Subtract 3x from both sides. Subtract 10 from both sides.
Multiply both sides by -1.
There you have x = 11 which as you know is the correct answer, and now you know why. Please ask any questions if it is not clear.
Answer:
Now, the formulas for other trigonometry ratios are: Cot θ = 1/tan θ = Adjacent side/ Side opposite = AB/BC. Sec θ = 1/Cos θ = Hypotenuse / Adjacent side = AC / AB. Cosec θ = 1/Sin θ = Hypotenuse / Side opposite = AC /BC