Answer:
11.4 feet
Step-by-step explanation:
Using the right triangle formed by the tent pole, the ground and the guy rope, where the guy rope (g) is the hypotenuse.
Applying Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
g² = 9² + 7² = 81 + 49 = 130 ( take the square root of both sides )
g =
≈ 11.4 feet
Cos(44°) = 90/ x
x = 125.1147
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the length of the string is 125.1147 feet
Answer:

Step-by-step explanation:
-This is a binomial probability problem.
-Given the probability of catching a cold is 0.03, n=6
#The probability of exactly 3 people catching a cold is calculated as:

Hence, the probability of exactly 3 in 6 people catching a cold is 0.0004928
Answer:
Min: 3
Q1: 7
Med: 10
Q3: 13
Max: 16
Step-by-step explanation:
4x - 2 > 6
4x > 8
x > 2
x + 3 <= -6
x <= -9
so answer in interval notation is (-∞, -9] or (2, ∞)