Answer:
The proportion of students whose height are lower than Darnell's height is 71.57%
Step-by-step explanation:
The complete question is:
A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnel is a middle school student with a height of 161.4cm.
What proportion of proportion of students height are lower than Darnell's height.
Answer:
We first calculate the z-score corresponding to Darnell's height using:
We substitute x=161.4 , 
, and 
to get:
From the normal distribution table, we read 0.5 under 7.
The corresponding area is 0.7157
Therefore the proportion of students whose height are lower than Darnell's height is 71.57%
Answer:
Amy: 8, Ben: 3
Step-by-step explanation:
No explanation here
Answer:
Step-by-step explanation:
1000*(1+8:100)^3=1000*1 ,08^3=1000*1,259712=1259,712
Answer:
580
Step-by-step explanation:
4*100=400
4*40=160
4*5=20
add them all up, you get 580
Answer:
The area the sprinkler sprays with water is 201.06 square feet.
Step-by-step explanation:
Step 1; It is given that the diameter of the circular area of grass that the sprinkler sprays with water is 16 feet. The diameter of a circle is equal twice its radius. So we divide the diameter by 2 to get its radius.
Radius of the circle = Diameter of the circle / 2 = 16 feet / 2 = 8 feet.
Step 2; The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 feet.
Area of the circle = π × r² = 3.1415 × 8 feet = 201.06 square feet
