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Answer:
x = 20
Step-by-step explanation:
x + 29 = 49
- 29 - 29
x=20
Answer:
The required probability is, 0.78
Step-by-step explanation:
There are, (52 - 13) = 39 cards which are not spade
5 cards can be chosen from the deck of 52 cards in
ways
and out of these 5 choices, none of them will be spade in,
ways
So,
P(None of the chosen cards is spade)
= 

Hence,
P(out of these 5 choices, at least one card is spade)

= 0.78
Answer:
21 ft by 66 ft
Step-by-step explanation:
From the question,
P = 2(L+W)............... Equation 1
Where P = Perimeter of the playing Field, L = Length of the playing Field, W = width of the playing Field.
If the Length of the Field is 45 ft longer than the width,
L = 45+W............ Equation 2
Substitute Equation 2 into equation 1
P = 2(45+W+W)
P = 90+4W............. Equation 3
Given: P = 174 ft.
Substitute into equation 3
174 = 90+4W
4W = 174-90
4W = 84
W = 84/4
W = 21 ft.
Substituting the value of W into equation 2
L = 45+21
L = 66 ft.
Hence the dimensions of the playing field is 21 ft by 66 ft