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:
ya
Step-by-step explanation:
x=23+98
Answer:
D. 4(2x² + 4x - 6); 130.0 inches
Step-by-step explanation:
Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x²+1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?
2x2+4x−6; 22.0 inches
2x2+4x−6; 32.5 inches
4(2x2+4x−6;) 88.0 inches
4(2x2+4x−6;) 130.0 inches
Perimeter of a square = 4 * side length
1- First square pillow
length = 2x²+1 in
Perimeter of first pillow = 4 * (2x²+1) in
Second square pillow
length = 4x-7 in
Perimeter of second pillow = 4(4x-7) in
Total ribbon length required = perimeter of first square pillow + perimeter of second square pillow
Total ribbon length required = 4(2x²+1) + 4(4x-7)
Factorise
4 is the common factor
=4(2x²+1)+(4x-7)
=4(2x²+1+4x-7)
=4(2x²+4x-6)
Total ribbon length required=4(2x²+4x-6)
If x=3.5
Total ribbon length required=4(2x²+4x-6)
=4{2(3.5)²+4(3.5)-6}
=4{2(12.25)+14-6)
=4(24.5+14-6)
=4(32.5)
=130.0 inches
Answer: 0.18
Step-by-step explanation:
From the question we know that p = 0.9 and q = 0.1. From this, We can compute the heterozygotes: 2pq = 2 (0.9) (0.1) = 0.18.
