Answer:
A) 1.84
Step-by-step explanation:
I just took the quiz
;)
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⤻ Before solving the given question , you should know the answer of these questions :
✺How do you find the hypotenuse , perpendicular and base when the angle (
) is given ?
⇾ The longest side , which is the opposite side of right angle is the hypotenuse ( h ). There are two other sides , the opposite and the adjacent. The naming of these sides depends upon which angle is involved. The opposite is the side opposite the angle involved and it is called the perpendicular ( p ) . The adjacent us the side next to the angle involved ( buy not the hypotenuse ) and it is called the base ( b ).
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In the above cases ,
is taken as the angle of reference.
♪ Our Q/A part ends up here! Let's start solving the question :
❈ 
- Perpendicular ( p ) = ? , Hypotenuse ( h ) = 18 & base ( b ) = 16
✧ 
- Value of tan

✎ 
Firstly , Finding the value of perpendicular ( p ) using Pythagoras theorem :
❃
[ Pythagoras theorem ]







Okey, We found out the perpendicular i.e
. Now , We know :
❊ 



⟿ 
۵ Yay! We're done!
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suppose the people have weights that are normally distributed with a mean of 177 lb and a standard deviation of 26 lb.
Find the probability that if a person is randomly selected, his weight will be greater than 174 pounds?
Assume that weights of people are normally distributed with a mean of 177 lb and a standard deviation of 26 lb.
Mean = 177
standard deviation = 26
We find z-score using given mean and standard deviation
z = 
= 
=-0.11538
Probability (z>-0.11538) = 1 - 0.4562 (use normal distribution table)
= 0.5438
P(weight will be greater than 174 lb) = 0.5438