Answer:
They'll be able to get 34 bottles from the containers.
Step-by-step explanation:
Since the bottles are cylindrical we can calculate their volume by using the following formula:
V = base_area*h
V = \pi*(r^2)*h
r = d/2 = 4/2 = 2 inches
V = 3.14*(2^2)*5 = 3.14*4*5
V = 3.14*20 = 62.8 inches^3
In order to know how many full bottles the players will get we need to divide the total volume of the containers, which is given by the sum of the volume of each container, and divide it by the volume of each bottle. We have:
bottles = (345*pi + 345*pi)/62.8 = 690*pi/62.8 = 2,166.6/62.8 = 34.5
Since the problem wants the amount of full bottles we only take the integer part, so they will be able to get 34 bottles from the containers.
Answer:
he heights of a group of women are normally distributed with a mean of 170 centimeters and a standard deviation of 10 centimeters. What is the -score of a member of the group who is 165 centimeters tall?
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Given function:</u>
The graph of it should contain the point (3/2, 27)
<u>Substitute the values and verify answer choices:</u>
A) b= 3/2
- 27 = (3/2)^(3/2), False as the right side is irrational
B) b= 27
-
27 = 27^(3/2), False as 27^1 ≠ 27^(3/2), because 1 ≠ 3/2
C) b= x/y
- 27 = (x/y)^(3/2), False as is doesn't make sense
D) b= 9
- 27 = 9^(3/2)
- 27 = (3^2)^(3/2)
- 27 = 3^(2*3/2)
- 27 = 3^3
- 27 = 27
(0,6)(4,3)
slope = (3 - 6) / (4 - 0) = -3/4
ur y int (where the line crosses the y axis) is (0,6)
in y = mx + b form, the slope will be in the m position and the y int will be in the b position.
Therefore, ur equation is : y = -3/4x + 6 <==
