Answer:
<em>The probability of getting exactly 2 of the cards are spades out of 6 cards will be </em><em>0.315</em>
Step-by-step explanation:
6 cards are drawn at random from a standard deck of 52 cards.
The number ways 6 cards can be drawn from a deck of 52 cards will be,
In a deck of 52 cards, 13 cards are of spades. So drawing 2 spades out of 13 is,
As exactly 2 must be spades, so the remaining 4 cards must be drawn from other 39 cards of other suits. This can be done in,
The probability of getting exactly 2 of the cards are spades out of 6 cards will be,
Answer:
9 I THINK
Step-by-step explanation:
77 minus 14 equals 63 and 63 divided by 7 equals 9
Answer:
Step-by-step explanation:
Total surface area of a cone is given by the expression,
SA = πrl + B
Here, r = Radius of the circular base
l = slant height
B = Surface area of the base
Surface area of the circular base = πr²
= π(5)²
= 25π cm²
Slant height 'AC' = 
= 
= 
= 13 cm
Substitute the values in the expression of surface area,
SA = π(5)(13) + 25π
= 65π + 25π
= 90π cm²
Therefore, SA = 90π cm² will be the answer.
Answer:
y = x² - 2x - 8
Step-by-step explanation:
Given
y = (x - 4)(x + 2)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 2) - 4(x + 2) ← distribute parenthesis
= x² + 2x - 4x - 8 ← collect like terms
= x² - 2x - 8 ← in standard form
Answer:
180
Step-by-step explanation:
Given the ratio = 7 : 3 : 2 = 7x : 3x : 2x ( x is a multiplier ), then
7x = 2x + 75 ( Natasha gets 75 more sweets than Henry )
Subtract 2x from both sides
5x = 75 ( divide both sides by 5 )
x = 15
Thus
total number of sweets = 7x + 3x + 2x = 12x = 12 × 15 = 180
