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Answer: X = 2
Step-by-step explanation: To find the value of "X" in this equation, we first need to subtract 3 from both sides.
Image provided.
First, we need to solve for sin(67°) = 22/x. Multiply each side by x and divide each side by sin(67°)
x = 22/sin(67°) = 23.9
Use pythagorean theorem to find the last side.
a^2 + 22^2 = 23.9^2
a^2 + 484 = 571.21. Subtract each side by 484
a^2= 87.21. Take the square root of each side.
a = 9.3
x = 23.9 and the other side is 9.3
Answer:
0.1587
Step-by-step explanation:
Given the following :
Mean (m) of distribution = 64 inches
Standard deviation (sd) of distribution = 2 inches
Probability that a randomly selected woman is taller than 66 inches
For a normal distribution :
Z - score = (x - mean) / standard deviation
Where x = 66
P(X > 66) = P( Z > (66 - 64) / 2)
P(X > 66) = P(Z > (2 /2)
P(X > 66) = P(Z > 1)
P(Z > 1) = 1 - P(Z ≤ 1)
P(Z ≤ 1) = 0.8413 ( from z distribution table)
1 - P(Z ≤ 1) = 1 - 0.8413
= 0.1587
Answer:
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