P(Face card) =16/52 = 4/13
P(Spade) = 13/52 =1/4
P(Face ∪ Spade) = 4/13 + 1/4 = 29/52 = 0.557
Answer:
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Step-by-step explanation:
Answer:
there are 0 solutions to the equation
Step-by-step explanation:
To know how many solutions are in the problem, we have to solve for x and see what result we have left. According to the result, we will know how many solutions there are
8x + 47 = 8(x + 5)
8x + 47 = 8*x + 8*5
8x + 47 = 8x + 40
8x - 8x = 40 - 47
0 = -7
As we can see we are left with an equality that is not fulfilled, this means that there is no solution to the problem, at least in the field of real numbers
The area of a square is expressed as:
Area = s^2
We are given the area of both windows. We will use this value for the calculations. We set s as the side of the larger window and a for the smaller window.
Total area = Area larger + area smaller
1025 = s^2 + a^2
Since it was said that the side of the larger window, s is 5 in longer than the side of the smaller window, a (s = 5+a) then:
<span>1025 = s^2 + a^2
</span>1025 = (5+a)^2 + a^2
simplifying we obtain,
a = 20 inches
