9514 1404 393
Answer:
(9/34)√34 ≈ 1.543
Step-by-step explanation:
The second equation can be rewritten as ...
6x -10y -12 = 0
3x -5y -6 = 0
3x -5y = 6
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The formula for the distance from point (x, y) to line ax+by+c=0 is ...
d = |ax+by+c|/√(a²+b²)
Then the distance from a point to the first line is ...
d = |3x -5y +3|/√(3² +(-5)²)
We know from the rearrangement of the second equation that points on its line satisfy (3x-5y) = 6. Substituting this value for (3x -5y) in the distance formula gives ...
d = |6 +3|/√34
Simplifying and rationalizing the denominator gives a distance of ...
d = (9/34)√34 ≈ 1.543
Answer:28.25
Step-by-step explanation:
Equation is: y = - 2x^2 + 113x - 497
In order to find out maximum of X, first step is to take derrivative of the function y = - 2x^2 + 113x -497.
When we do that, derrivative function is:
dy/dx = - 2 * 2 x + 113 * 1 = - 4x +113
At the maximum point derrvative function equals to zero.
So, - 4x + 113 = 0
-4x = -113
x = 28.25
So, the selling price should be 28.25
Answer:
x can be any real number
Step-by-step explanation:
5x<=21+2x
Or
3(x+1)>=24
5x-2x<=21
Or
3x+3>=24
3x<=21, i.e x<=7
Or
3x>=21, i.e x>=7
Since we have OR, at least one of them must be true. So x can be any real number.
Answer:
hey dear the smallest composite number is 4
Answer:
The required probability is 0.55404.
Step-by-step explanation:
Consider the provided information.
The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typographical errors on a page of second booklet is a Poisson random variable with mean 0.3.
Average error for 7 pages booklet and 5 pages booklet series is:
λ = 0.2×7 + 0.3×5 = 2.9
According to Poisson distribution: 
Where 
is average number of events.
The probability of more than 2 typographical errors in the two booklets in total is:
Substitute the respective values in the above formula.
Hence, the required probability is 0.55404.
