Using probability concepts, it is found that P(S and D) = 0.1275.
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- 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
Answer:
the third angle= 180-x-(4x+15)
Step-by-step explanation:
if we subtract the two other angles the result will be the measure of the last one
The value of <em>x </em>in the equation, (3x + 30), is 10.
After 10 hours the temperature is shown on the graph as 30 degrees.
50 degrees - 30 degrees = 20 degrees.
The temperature dropped 20 degrees in 10 hours.
Divide the change by the time:
20 degrees / 10 hours = 2 degrees per hour.
Because the temperature dropped, the change would be negative.
The answer is D. -2 degrees per hour.
Answer:
A = $100(1.12)^2
Step-by-step explanation:
The standard formula for compound interest is given as;
A = P(1+r/n)^(nt) .....1
Where;
A = final amount/value
P = initial amount/value (principal)
r = rate yearly
n = number of times compounded yearly.
t = time of investment in years
For this case;
P = $100
t = 2years
n = 1
r = 12% = 0.12
Substituting the values, we have;
A = $100(1+0.12)^(2)
A = $100(1.12)^2