Answer:
It would be x+6 y+2
Step-by-step explanation:
L is at (-5,-2) and L prime is at (1,0) so -5 to 1 is 6, and -2 to 0 is 2, therefore x+6 y+2
Answer:
Step-by-step explanation:
Answer:
0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 5 ml
Standard Deviation, σ = 0.4 ml
We are given that the distribution of amount of dye dispensed is a bell shaped distribution that is a normal distribution.
Formula:
P(paint cans contain less than 5.54 ml of the dye)
Calculation the value from standard normal z table, we have,
0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.
24987.2 meters cubed.
Step-by-step explanation:
A Hemisphere is 1/2 of a sphere, so let's find the volume of a sphere and then cut it in half.
The volume of a sphere is V= (4/3)πr3
The diameter is double the size of the radius, so we can find r, the radius, by dividing the diameter,
45.7m, by 2. So r = 22.85 meters
so the volume of the sphere is (4/3)π(22.85 meters)3, which is 49974.35787 meters cubed.
Since we're actually looking for the Hemisphere, we can divide this volume in half to get the volume of the hemisphere as 24987.17894 meters cubed.
And because the answer must be to 1/10th of a cubic meter, that means we only want one decimal point. So we round to 24987.2 meters cubed.
Answer: 2.73 cm
Step-by-step explanation:
Given that :
Side (a) of cube = 4.4cm
Volume of a cube (V) = a^3
V = 4.4^3
V = 85.184cm^3
Therefore, volume of the sphere made = 85.184cm^3
Volume of sphere = 4/3 πr^3
Where r = radius
85.184 = (4/3)*(22/7)*r^3
85.184 = (88/21)*r^3
85.184 = 4.1905 * r^3
r^3 = 85.184 / 4.1905
r^3 = 20.327884
Take the cube root of both sides
r = 2.73 cm
