Answer: 4/7
Step-by-step explanation:
The probability of would be 4/7. In total there are 7 bowls of ice cream in total so that will be the denominator. 4 of them are chocolate so it'll be the numerator.
Answer:
128 + 96√3 or 294.28 unit^3 to the nearest hundredth.
Step-by-step explanation:
The surface area of one of the pyramids = area of the square base + area of the 4 equilateral triangles
= 8^2 + 4 * 1/2 * 8 * 4√3
= 64 + 64√3.
So the area of the new solid = 2(64 + 64√3) - area of 2 triangles
= 2(64 + 64√3) - 32√3
= 128 + 128√3 - 32√3
= 128 + 96√3.
![\frac { 3 }{ 8 }](https://tex.z-dn.net/?f=%5Cfrac%20%7B%203%20%7D%7B%208%20%7D%20)
times
![\frac { 4 }{ 9 }](https://tex.z-dn.net/?f=%5Cfrac%20%7B%204%20%7D%7B%209%20%7D%20)
,
![\frac { 3 }{ 8 } \cdot \frac { 4 }{ 9 } =\frac { 12 }{ 72 }](https://tex.z-dn.net/?f=%5Cfrac%20%7B%203%20%7D%7B%208%20%7D%20%5Ccdot%20%5Cfrac%20%7B%204%20%7D%7B%209%20%7D%20%3D%5Cfrac%20%7B%2012%20%7D%7B%2072%20%7D%20)
3 groups of 4/9 means , 3 times 4/9
![3\cdot \frac { 4 }{ 9 } =\frac { 3\cdot 4 }{ 9 } =\frac { 12 }{ 9 }](https://tex.z-dn.net/?f=3%5Ccdot%20%5Cfrac%20%7B%204%20%7D%7B%209%20%7D%20%3D%5Cfrac%20%7B%203%5Ccdot%204%20%7D%7B%209%20%7D%20%3D%5Cfrac%20%7B%2012%20%7D%7B%209%20%7D%20)
Now let's divide this divide by 8.
![\frac { \frac { 12 }{ 9 } }{ 8 } =\frac { 12 }{ 9 } \cdot \frac { 1 }{ 8 } =\frac { 12\cdot 1 }{ 9\cdot 8 } =\frac { 12 }{ 72 }](https://tex.z-dn.net/?f=%5Cfrac%20%7B%20%5Cfrac%20%7B%2012%20%7D%7B%209%20%7D%20%20%7D%7B%208%20%7D%20%3D%5Cfrac%20%7B%2012%20%7D%7B%209%20%7D%20%5Ccdot%20%5Cfrac%20%7B%201%20%7D%7B%208%20%7D%20%3D%5Cfrac%20%7B%2012%5Ccdot%201%20%7D%7B%209%5Ccdot%208%20%7D%20%3D%5Cfrac%20%7B%2012%20%7D%7B%2072%20%7D%20)
As you can see when we divided 3 groups of 4/9 we got the same result as 3/8 x 4/9
2x^2+20x = -38
2x^2 + 20x + 38 = 0
Divide both sides by 2.
x^2 + 10x + 19 = 0
The quadratic formula works very well here.
Let a = 1, b = 10 and c = 19
x = [-b +- sqrt{b^2 - 4ac}]/(2a)
Plug those values into the formula to find two answers for x.
One is negative and the other positive.
Good luck.
<h3>
Answer: 30,240</h3>
This is is one value (and not two values separated by a comma) and it's slightly over 30 thousand.
========================================================
Explanation:
There are n = 9 letters in the word "PEPPERONI"
If we could tell all the letters apart, there would be 9! = 9*8*7*6*5*4*3*2*1 = 362,880 permutations, and that would be the answer.
However, we have repeated letters that we cannot tell apart. The P shows up a = 3 times, and the E shows up b = 2 times. So we need to divide by a!*b! = 3!*2! = 6*2 = 12 to correct for the overcounting. That leads to the final answer of (362,880)/(12) = 30,240