So we are given the mean and the s.d.. The mean is 100 and the sd is 15 and we are trying the select a random person who has an I.Q. of over 126. So our first step is to use our z-score equation:
z = x - mean/s.d.
where x is our I.Q. we are looking for
So we plug in our numbers and we get:
126-100/15 = 1.73333
Next we look at our z-score table for our P-value and I got 0.9582
Since we are looking for a person who has an I.Q. higher than 126, we do 1 - P. So we get
1 - 0.9582 = 0.0418
Since they are asking for the probability, we multiply our P-value by 100, and we get
0.0418 * 100 = 4.18%
And our answer is
4.18% that a randomly selected person has an I.Q. above 126
Hopes this helps!
Answer:
Angle k is 34.5 degrees
Step-by-step explanation:
a circle makes 360 degrees total. okay so u have to consider the angles given. m arc go= 127
m<0 = 54.5
54.5 times 2 = 109
109 is arc gk
109 + 127+ 55= 291
360-291=69= arc OU
69 divided by 2 is 34.5
Angle k is 34.5 degrees
2.5% per year multiplay by 5 equals 12.5% then multiple 2500 with 12.5 equals 312.5
The denominator is the one on the bottom so 9 is the denominator the top is the numerator