Using probability concepts, it is found that P(S and D) = 0.1275.
-----------------------
- A probability is the <u>number of desired outcomes divided by the number of desired outcomes</u>.
- In a standard deck, there are 52 cards.
- Of those, 13 are spades, and 13 are diamond.
- The probability of selecting a spade with the first card is 13/52. Then, there is a 13/51 probability of selecting a diamond with the second. The same is valid for diamond then space, which means that the probability is multiplied by 2. Thus, the desired probability is:
Thus, P(S and D) = 0.1275.
A similar problem is given at brainly.com/question/12873219
Same as all the other ones like this.
Since the two figures are similar . . .
-- The ratio of of their volumes is R³ .
-- The ratio of their surface areas is R² .
-- The ratio of their dimensions is R .
So R³ is 729 / 2744 .
Take the cube root of that and you'll have R .
Then square R and you'll have the ratio of their surface areas.
Solution,
We have,
Width of rectangle, b = (2.5u+9.8) cm
Length of rectangle, l = (1.5u+3.9) cm
We need to find the expression for the perimeter of the rectangle. The formula for the perimeter of a rectangle is given by:
Perimeter = 2(l+b)
P = 2[(2.5u+9.8)+(1.5u+3.9)]
Collecting like terms
P = 2[(2.5u+1.5u)+(9.8+3.9)]
P=2(4u+13.7)
⇒ P = 8u+27.4
So, the expression for the perimeter of the rectangle is (8u+27.4) cm.
It will take him 80 minutes, or an hour and 20 minutes
