Your answer to the question:
-12 4/5
And then decimal form:
-12.8
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:
95 in.²
Step-by-step explanation:
Total surface area of the rectangular pyramid = 4(area of triangle) + area of rectangle
Area of triangle = ½*base*height
base = 5 in.
height = 7 in.
Area of triangle = ½*5*7 = 17.5 in.²
Area of rectangle = Length*width = 5*5 = 25 in.²
Plug in the values
Total surface area of the rectangular pyramid = 4(17.5) + 25
= 95 in.²
Answer: x = 4
Step-by-step explanation:
2x - 3 + 4x = 21
6x - 3 = 21
6x - 3 (+3) = 21 (+3)
6x = 24
24/6
x = 4
