Answer:p=7
Step-by-step explanation:because 4 x 7 =28
Answer:
The width of rectangle is 1 unit.
Step-by-step explanation:
Given:
The area of rectangle is 6 units and its width is 5 units less than the length.
So, to find the width of rectangle.
Let the length be
and the width be
.
Now, to find the width we put the formula of area of rectangle:
Area = length × width






<em>On solving equation we get:</em>

Therefore, we take the value x=6 as it is positive value:


So, the width of rectangle:
Width = 
= 
= 
Therefore, the width of rectangle is 1 unit.
Answer:
15, -26
Step-by-step explanation:
The <em>generic solution</em> to a "sum and difference" problem can be found easily. Let "a" and "b" represent the numbers you seek, and let "s" and "d" represent their sum and difference:
a + b = s
a - b = d
Adding these two equations tells you ...
2a = s + d
a = (s + d)/2 . . . . . . divide by the coefficient of a
You can find "b" several different ways. One way is to subtract the second equation from the first:
2b = s - d
b = (s - d)/2 . . . . . . divide by the coefficient of b
So, the second number can be found from any of ...
- b = s - a
- b = a - d
- b = (s - d)/2
____
For the numbers given here, s=-11, d=41, the two numbers are ...
a = (-11 +41)/2 = 15
b = -11 -15 = -26
The two numbers are 15 and -26.
Answer:
3x + 5.
Step-by-step explanation:
factor out 1/6 (1/2 • 1/3)
distribute the 3 from the paranthesis
1/6 (3(8x + 4) + 2(9-3x))
1/6(24x + 12 + 2(9-3x))
distribute 2 through parentheses
1/6(24x+12+18-6x)
collect like terms:
1/6(18x + 12 + 18) > 1/6(18x +30)
factor out 6
1/6 • 6(3x+5)
reduce with GCF (6)
3x + 5
<u>Use Chebyshev's Theorem to 88.89 % </u><u> the percentage of gasoline stations that had prices within 3 standard deviation of the mean.</u>
What is the Chebyshev's theorem?
- Chebyshev's Theorem estimates the minimum proportion of observations that fall within a specified number of standard deviations from the mean.
- This theorem applies to a broad range of probability distributions.
- Chebyshev's Theorem is also known as Chebyshev's Inequality.
By Chebyshev's inequality, for any distribution at least
* 100 percentage of values falls within k standard deviation about mean .
here k=3 . Apply this to equation and find percentage that falls within 3 standard deviation about mean.
= 88.89
So, 88.89 % of gasoline station had price within 3 standard deviation about mean .
Learn more about Chebyshev's inequality
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