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Verdich [7]
3 years ago
9

Ron draws 16 cards from a standard deck of 52. The deck is made up of equal numbers of four suits: clubs,diamonds, hearts, and s

pades. How many of the card drawn can Ron expect to be spades? How do I solve this? Thanks
Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0
See ron drwa 16 cards which means 4 card from each suit
4*4=16
total number of cards in each suit is 13-4=9
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The half-life of cesium-137 is 30 years. Suppose we have a
VMariaS [17]
(a) If y(t) is the mass (in mg) remaining after t years, then y(t) = y(0) e^{kt}=100e^{kt}.

y(30) = 100 e^{30k} = \frac{1}{2}(100) \implies e^{30k} = \frac{1}{2} \implies k = -(\ln 2) /30 \implies \\ \\
y(t) = 100e^{-(\ln 2)t/30} = 100 \cdot 2^{-t/30}

(b) y(100) = 100 \cdot 2^{-100/30} \approx \text{9.92 mg}

(c)
100 e^{- (\ln 2)t/30} = 1\ \implies\ -(\ln 2) t / 30 = \ln \frac{1}{100}\ \implies\ \\ \\
t = -30 \frac{\ln 0.01}{\ln 2} \approx \text{199.3 years}
 
3 0
3 years ago
The length of each side of a square was decreased by 2 inches so the perimeter is now 49 inches. What was the original length of
aleksley [76]

The Original length of each side of square was 14.25 inches.

Step-by-step explanation:

Perimeter of a square is given by:

Perimeter = 4 * side

Let x be the original length of each side of square

So

decreasing 2 inch will mean

x-2

Perimeter of square after reducing 2 inches from each side

4(x-2) = 49\\4x-8 = 49\\4x = 49+8\\4x = 57\\\frac{4x}{4} = \frac{57}{4}\\x = 14.25

So,

The Original length of each side of square was 14.25 inches.

Keywords: Perimeter, square

Learn more about perimeter at:

  • brainly.com/question/5922969
  • brainly.com/question/6013189

#LearnwithBrainly

5 0
3 years ago
3/5 x 1/5+1/5 x 73/3
insens350 [35]

So,

3/5 x 1/5 = 3/25

3/25 + 1/5 = 8/25

8/25 x 73/3 = 7 59/75

I hope this helps

5 0
3 years ago
The ratio of the ages of two children is 2:3. If the younger child is 4 years old, how old is the other child?
vladimir1956 [14]
So if the ratio is 2:3, then the younger child would represent the 2. so it would be 2:3 is 4:x. Thereby, the answer would be 6, because of proportions. To check, simplify 4:6, and you would get 2:3.
4 0
3 years ago
Read 2 more answers
The population of Earth is estimated to be 7.4 billion people, or 7,400,000,000. What is this number in scientific notation?
Nitella [24]

Answer:

7.4 x 10 to the 9th power

Step-by-step explanation:

At the end of numbers, there is a decimal point. when writing in function notation, you bring the point to the left or to the right depending on if it is a negative or a positive number

in this problem, you are dealing with a positive number, so bring the decimal point to the left. count how many numbers it takes to get in between, in this number, 7 and 4. it takes 9 spaces to the left. now the decimal point has been moved, your number goes from 7,400,000,000 to 7.4 x 10 to the 9th power(7.4 x 10^9)

7 0
2 years ago
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