This can be found by finding 44 chosen 5 at a time times 1/32.
That would be
44! / (44-5)!(5!) * 32 =
1 chance in 34,752,256
Answer:
Height of rectangular prism = 11 inches
Step-by-step explanation:
Given that:
Volume of rectangular prism = 572 cubic inches
Length of prism = 4 inches
Width of prism = 13 inches
Volume of prism = Length * Width * Height
572 = 4 * 13 * h
572 = 52h
52h = 572
Dividing both sides by 52
Hence,
Height of rectangular prism = 11 inches
Step-by-step explanation:
Put the value y.
-2x-8(-5x+22)=14
-2x+40x-176= 14
38x-176 =14
38x = 190
x=5
Now put the value of X to find Y
Y= -5(5)+22= -25+22 = -3
=>X=. 5
=>Y= -3
Answer:
<u>The number is 67</u>
Step-by-step explanation:
<u>Equations</u>
Let's consider the number 83. The tens digit is 8 and the unit digit is 3. Note the tens digit's addition to the number is 80, and the unit's addition is 3. This means the tens digit adds 10 times its value, that is, 83 = 8*10 + 3.
Now, let's consider the number ab, where a is the tens digit, and b is the unit digit. It follows that
Number=10*a+b
The question gives us two conditions:
1) The sum of a two-digits number is 13.
2) The tens digit is 8 less than twice the units digit.
The first condition can be expressed as:
a + b = 13 [1]
And the second condition can be written as:
a = 2b-8 [2]
Replacing [2] into [1], we have:
2b-8 + b = 13
Operating:
3b = 13 + 8
3b = 21
Solving for b:
b = 21 / 3 = 7
Substituting into [2]:
a = 2*(7) - 8 = 6
Thus, the number is 67
According to the identity if a+b+c=0
then a3+b3+c3=3abc
a3+b3+c3/abc=3
a2*a/bc*a+b2*b/ca*b+c2*c/ab*c=3
cancel a,b,c in all the fraction then you get
<span>a²/bc+b²/ca+c²/ab=3.
</span>hence proved
