Answer:
The odds against drawing a spade greater than 2 and less than 8 is 
.
Step-by-step explanation:
Total number of cards in a standard deck of cards = 52
Total number of cards of each suit (Spade, club,heart, diamond)=13
Total number of spade cards, which are greater than 2 and less than 8 = 5
We need to find the odds against drawing a spade greater than 2 and less than 8.
Let event A be the total number of cards which are greater than 2 and less than 8
Favorable outcomes:
A' = 52 - 5 = 47
Unfavorable outcomes:
A = 5
Formula for odds
Therefore the odds against drawing a spade greater than 2 and less than 8 is .
This will involve finding an arctangent.
We'll consider the woman's height as the "opposite" side of a triangle and the shadow as the "adjacent" side. The angle that the Sun makes equals the arc tangent of that angle.
tan (Sun's angle) = 71" / 36"
tan (Sun's angle) =
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<span>
1.9722222222
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when we determine the arc tangent of 1.9722222222, it will equal the Sun's angle.
arc tangent of 1.9722222222 = 63.113 degrees
Answer:
A / (1 +√5) = A (1 - √5) / (1 - 5) = -A (1 - √5) / 4
Multiply numerator and denominator by (1 - √5)
Answer:
The number of ways are 
Step-by-step explanation:
Consider the provided information.
The passwords contain only digits and lower-case letters.
Length is 6 and the password must contain at least one digit.
There are 26 lower case and 10 digits.
Total = 26+10=36
Length is 6 and the password must contain at least one digit.
Therefore,
Here 
shows all possible ways and 
shows only lower case.
Hence, the number of ways are
