Answer:
Volume left = 404.32 cubic inches
Step-by-step explanation:
volume of a cylinder = 
h
volume of ice cream in the cylindrical tub =
x
x 9
=
x 25 x 9
= 707.1429
Volume of ice cream in the cylindrical tub is 707.14 cubic inches.
The ice cream scoop has a spherical volume, so that;
volume of a sphere = 


r = 
=
inches
volume of the scoop =
x
x 
=
x
x 
= 8.1845
volume of the scoop is 8.19 cubic inches.
If he scoops 37 scoops,
volume of the 37 scoops = 37 x 8.1845
= 302.8265
volume of 37 scoops is 302.83 cubic inches.
Volume of ice cream left in the tub = 707.1429 - 302.8265
= 404.3164
Volume of ice cream left in the tub is 404.32 cubic inches.
So the question is asking what is 6.2% of 1000? Then rounding our decimals?
20 and 2
20 - 2 = 18
......................................
Answer:
The average rate of change in that space would be 12.
Step-by-step explanation:
To find this, use the two ordered pairs (-1, 3) and (1, 27) in the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (27 - 3)/(1 - -1)
m = 24/2
m = 12
To find the probability of both of these occurring, you will multiply the probability of choosing a blue marble by the probability of choosing a purple marble (with no replacement after the first one).
Probability of choosing a blue marble: 17/120
Probability of choosing a purple marble: 18/119
17/120 x 18/119 = 3/140
You will have a 3/140 chance of both of these occurring.