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Alex73 [517]
3 years ago
10

In a pack of 52 cards, 4 of the cards are kings. the first card is picked, the results are recorded and the card is returned to

the deck. then the second card is picked. find the probability of picking two kings. be sure to represent your answer as a fraction in simplest form.
Mathematics
1 answer:
Ulleksa [173]3 years ago
8 0
Total cards = 52

Total kings = 4

P(2 kings) = (4/52)(4/52) = 1/169

Answer : 1/169
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DochEvi [55]
X is Kevin; Y is Dan

X = 3Y

X - 4 = 5(Y - 4)


3Y - 4 = 5(Y - 4)   
3Y - 4 = 5Y - 20
     + 4         +4
4 cancels each other out.
     3Y = 5Y - 16
     - 5   -5
5 cancels each other out.
    -2Y = -16  
    /2       /2     
       Y = 8 

X = 3Y;    
X = 3 x 8;

Thus,
X = 24;
Kevin(x) is 24

8 0
3 years ago
3. Consider the sequence,-8, -5, -2, 1, ...
Naddik [55]

Answer:

a) a_n=3\,n-11

b) a_{20}=49

c) term number 17 is the one that gives a value of 40

Step-by-step explanation:

a)

The sequence seems to be arithmetic, and with common difference d = 3.

Notice that when you add 3 units to the first term (-80, you get :

-8 + 3 = -5

and then -5 + 3 = -2 which is the third term.

Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:

a_n=a_1+(n-1)\,d

That in our case would give:

a_n=-8+(n-1)\,(3)\\a_n=-8+3\,n-3\\a_n=3n-11

b)

Therefore, the term number 20 can be calculated from it:

a_{20}=3\,(20)-11=60-11=49

c) in order to find which term renders 20, we use the general form we found in step a):

a_n=3\,n-11\\40=3\,n-11\\40+11=3\,n\\51=3\,n\\n=\frac{51}{3} =17

so term number 17 is the one that renders a value of 40

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3 years ago
tomika ran 84 miles in 4 weeks. She ran 7 days each week. If she ran the same number of miles each day, how many miles did she r
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Three miles a day should be the correct answer
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3 years ago
Nina asked 30 of her friends what they thought about a new movie.
Sunny_sXe [5.5K]
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4 0
3 years ago
Read 2 more answers
What is the least common multiple of 6 and 17?<br>​
amm1812

Answer:

102

Step-by-step explanation:

The least common multiple of 6 and 17

For us to determine the L.C.M of 6 and 17,

First find the prime factors of 6 and 17

Prime Factor of 6

6 = 2 × 3

Prime factor of 17

17 = 1 × 17

Secondly;

Multiply all the factors together to find the L.C.M:

L.C.M = 1 × 2 × 3 × 17

L.C.M = 102

Please mark as brainliest

6 0
3 years ago
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