Let p be the prize of a pen and m the prize of a mechanical pencils. If you buy six pens and one mechanical pencil, you spend 6p+m. We know that this equals 9, because you get 1$ change from a 10$ bill.
Similarly, if you buy four pens and two mechanical pencils, you spend 4p+2m, which is 8$, because now you get a $2 change. Put these equation together in a system:
Now, if you multiply the first equation by 2, the system becomes
Subtract the second equation from the first:
Plug this value into the first equation to get
ANSWER
The sphere is 10762 cubic centimeters bigger than the cube.
EXPLANATION
We want to find the difference in the volumes of the sphere and the cube.
To do this, we have to find the volumes of the sphere and cube and subtract that of the cube from the sphere.
The volume of a sphere is given as:
where r = radius
The radius of the sphere is 15 centimeters. Therefore, the volume of the sphere is:
The volume of a cube is given as:
where s = length of the side
The length of the side of the cube is 15 centimeters. Therefore, the volume of the cube is:
Therefore, the difference in the volumes of the sphere and cube is:
Therefore, the sphere is 10762 cubic centimeters bigger than the cube.
Answer:
0.2916, 0.1488, 0.0319
Step-by-step explanation:
Given that a sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to have oil added.
Since each trial is independent there is a constant probability for any random car to need oil is 0.10
Let X be the number of cars that need oil
A) Here X is BIN(4,0.1)
B) Here X is Bin (8, 0.1)
C) Here X is Bin (20,5)
Answer:
the given expression is equivalent to
Step-by-step explanation:
![\frac{ \sqrt[4]{200} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%5B4%5D%7B200%7D%20%7D%7B2%7D%20)
Answer:
<u>x^3-8x^2+5x+14</u>
Step-by-step explanation:
(x+1)(x-2)(x-7)
x^3-8x^2+5x+14
