Answer:
a) 16%
b) 2.5%
Step-by-step explanation:
a)
The mean is 70 with standard deviation(SD) of 3 and you are asked to find out the percentage of staff that have <67(70-3 inch= mean - 1 SD) inch size, which means 1 SD below the mean (<-1 SD). Using 68-95-99.7 rule, you can know that 68% of the population is inside 1 SD range from the mean ( -1 SD to + 1 SD).
To put it on another perspective, there are 32% of the population that have < -1 SD and > +1 SD value. Assuming the distribution is symmetrical, then the value of < - 1 SD alone is 32%/2= 16%
b)
The question asks how many populations have size >76 inches, or mean + 2 SD (70+3*2 inch).
You can also solve this using 68-95-99.7 rule, but you take 95% value as the question asking for 2 SD instead. Since 95% of population is inside 2 SD range from the mean ( -2 SD to + 2 SD), so there are 5% of population that have < -2 SD and > +2 SD value. Assuming the distribution is symmetrical, then the value of > +2 SD alone is 5%/2= 2.5%
Answer:
The sides form a <u>right triangle</u>
Step-by-step explanation:
\sqrt(130)km = 11.4 km
Answer:
The answer to your question is 236 ft²
Step-by-step explanation:
Data
height = 5 ft
width = 6 ft
length = 8 ft
Area = ?
Process
I will consider that the crate is a rectangular prism which has 6 sides
1.- Find the area of the sides that measure 8 x 6
Area = 2 (8 x 6)
= 2(48)
= 96 ft²
2.- Find the area of the sides that measure 8 x 5
Area = 2(8 x 5)
Area = 2(40)
Area = 80 ft²
3.- Find the area of the sides that measure 6 x 5
Area = 2( 6 x 5)
Area = 2(30)
Area = 60
4.- Find the total area
Area = 96 + 80 + 60
Area = 236 ft²
5.- Conclusion
She needs 236 ft² of paint
