Answer:
II. a = 6 , b = 9.1 , c = 10.9
Step-by-step explanation:
I. a = 1.2 , b = 3.5 , c= 3.6
c² = a² + b²
3.6² = 1.2² + 3.5²
12.96 = 1.44 + 12.25
12.96 ≠ 13.69
These sides cannot create a right triangle.
II. a = 6 , b = 9.1 ,c = 10.9
c² = a² + b²
10.9² = 6² + 9.1²
118.81 = 36 + 82.81
118.81 = 118.81
Therefore, these sides can create a right triangle.
III. a = 6 , b = 8 , c = 9
c² = a² + b²
9² = 6² + 8²
81 = 36 + 72
81 ≠ 108
These sides cannot create a right triangle.
7*m==420
7m=420 (divide by 7 on both times)
m=60
hope that helps!
Answer:
a) 15.58
b) 39.06
Step-by-step explanation:
MENSA is organization whose member have IQs in the top 2% of the population. IQs are normally distributed with mean 100, and the minimum IQ score required for admission to MENSA is 132.
From standard normal table z value for top 2% =2.054
132 = 100+2.054×σ
σ=(132-100)/2.054=15.58
(b) Cholesterol levels for women aged 20 to 34 follow an approximately normal distribution with mean 185 milligrams per deciliter (mg/dl). Women with cholesterol levels above 220 mg/dl are considered to have high cholesterol and about 18.5% of women fall into this category.
From standard normal table z value for top 18.5% =0.896
220 = 185+0.896×σ
σ=(220-185)/0.896 =39.06