Answer:
the probability of rolling two 6's is 2 out of 12 or 0.167 rounded to the nearest thousandth
Step-by-step explanation:
there are 6 sides on a cube so that's 5 other chances that you'll get 1-5 and having two cubes doubles the chance.
Answer:
r = 144 units
Step-by-step explanation:
The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;
In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above.
Substituting the terms of the equation and the derivative of r´, as follows,
Doing the operations inside of the brackets the derivatives are:
1 )
2)
Entering these values of the integral is
It is possible to factorize the quadratic function and the integral can reduced as,
Thus, evaluate from 0 to 16
The value is
Answer:
Stephanie has more than $900
Step-by-step explanation:
Represent the unknowns: a for Alexandra and s for Stephanie.
Then a + s > $2,500, and a = s + $700.
Substituting the latter into the former equation, we get:
(s + $700) + s > $2,500, or
2s > $1800
Then s > $900; Stephanie has more than $900.
Answer: Length = l
Width = w
2l + 2w = 80cm
l+w = 40cm
l = w+4
w+4 + w = 40cm
2w + 4 = 40cm
2w = 36cm
w = 18cm
l = 22cm
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Step-by-step explanation: