14.76 is your answer you just multiply .18 to 82 and get your answer
Answer: 20 feet
Step-by-step explanation:
This represents a right angled triangle with the length of the slide being the hypotenuse, the height of the ladder being the height of the triangle and the distance from the base of the ladder being the length.
Solve with Pythagoras rule:
c² = a² + b²
c = hypotenuse
a= length
b = height
29² = 21² + b²
841 = 441 + b²
b² = 841 - 441
b² = 400
b = √400
b = 20 feet
This question is incomplete, the complete question is;
Assume the random variable x is normally distributed with mean p = 80 and standard deviation σ = 4.
Find the indicated probability. P(67 < x < 72)
(Round to four decimal places as needed.)
Answer:
the indicated is 0.0222
Step-by-step explanation:
Given the data in the question;
mean μ = 80
standard deviation σ = 4
p ⇒ P ( x -μ / σ )
so
P(67 < x < 72) ⇒ P( 67-80 / 4 ) < P( x -μ / σ ) < P( 72-80 / 4 )
P(67 < x < 72) ⇒ P( -13 / 4 ) < P( x -μ / σ ) < P( -8 / 4 )
P(67 < x < 72) ⇒ P( -13 / 4 < z < -8 / 4 )
P(67 < x < 72) ⇒ P( -3.25 < z < -2 )
⇒ P( z < -2 ) - P( z < -3.25)
Now from z table;
⇒ 0.02275 - 0.00058
P(67 < x < 72) ⇒ 0.02217 ≈ 0.0222 { four decimal places }
Therefore, the indicated is 0.0222
