M=14.6 (is rounded to the nearest tenth.)
Answer:
9th Triangle
Step-by-step explanation:
Given the area of four triangles:
If the Scale factor is 1.5.
This is a geometric sequence and the common ratio is 1.5 X 1.5.
Therefore, the area of any n triangle can be determined using the function:
We want to determine which triangle has an area greater than .
When A(n)=15000
Therefore, the 9th triangle has an area greater than .
Answer:
x = 18
Step-by-step explanation:
4x+4(x-6)=3(2x+4)
distribute
4x+4x-24=6x+12
combine like terms
8x-24=6x+12
carry across equal sign
2x-24=12
carry across equal sign
2x=36
divide
x=18
Answer:
(a) 13 ounces.
(b) 1.732 ounces.
(c) 0.5
(d) 0.33
Step-by-step explanation:
Given : The amount of water dispensed follows a continuous uniform distribution from 10 ounces to 16 ounces. So, a=10 and b=16.
(a) The average amount of water dispensed by the machine = (a+b)/2 = (10+16)/2 = 13 ounces.
(b) The standard deviation of the amount of water dispensed = = √36/12 =√3 = 1.732 ounces.
(c) P (13 or more ounces will be dispensed in a given glass) = = = 0.5
(d) P (between 12 and 14 ounces will be dispensed in a given glass) = ( here a=12 and b=14.) = = 0.33