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photoshop1234 [79]
3 years ago
6

5+15 divided by 3 x 4 to the third power

Mathematics
1 answer:
julia-pushkina [17]3 years ago
5 0

Answer:

325

Step-by-step explanation:

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3. Suppose that you draw two cards from a standard 52 card deck. You replace the first card and shuffle thoroughly before you dr
Kruka [31]

Answer:

\text{a)} \frac{1}{17} \text{b)} \frac{1}{221}\text{c)}\frac{12}{13}\text{d)}\frac{188}{221}

Step-by-step explanation:

GIVEN: You draw two cards from a standard 52 card deck. You replace the first card and shuffle thoroughly before you draw the second.

TO FIND: a) What is the probability that the first card is 7 b) What is the probability that both cards are

SOLUTION:

Let \text{A} and \text{B} be two events such that

\text{A}=\text{first card drawn is 7}

\text{B}=\text{Second card is 7}

\text{probability that first card is 7 =P(A)}

<h3> \text{P(A)}=\frac{\text{total 7 numbered cards}}{\text{total cards in deck}}</h3><h3> \text{P(A)}= \frac{4}{52}=\frac{1}{13}</h3>

a)

      \text{probability that first card is 7 =P(A)}

<h3>      \text{P(A)}=\frac{1}{13} </h3>

b)

     \text{probability that both cards are 7}=\text{first card is 7}\times\text{second card is 7}

     \text{probability that both cards are 7}=\text{P(A).P(B)}

     \text{P(B)}=\frac{\text{total number of 7 numbered cards left}}{\text{total number of cards in deck left}}

     \text{P(B)}=\frac{3}{51}=\frac{1}{17}    

     \text{probability that both cards are 7}=\frac{1}{13}\times\frac{1}{17}

     \text{probability that both cards are 7}=\frac{1}{221}

c)

    \text{probability that first card is not 7}=1-\text{probability that first card is 7}

    \text{probability that first card is not 7}=1-\text{P(A)}

    \text{probability that first card is not 7}=1-\frac{1}{13}

    \text{probability that first card is not 7}=\frac{12}{13}

d)

 \text{probability that both cards are not 7}=(\text{first card is not 7}).(\text{second card is not 7})

    \text{probability that both cards are not 7}=\text{[1-P(A)].[1-P(B)]}

    \text{P(B)}=\frac{\text{total 7 numbered cards}}{\text{total cards left in deck}}

    \text{probability that both cards are not 7}=(1-\frac{1}{13})\times(1-\frac{4}{51})

    \text{probability that both cards are not 7}=\frac{12}{13}\times\frac{47}{51}

 

     

8 0
3 years ago
Julia used 1 foit square stone tiles to make a patio. She laid the tiles in a square, 7 tiles wide by 7 tiles long. what isthe a
velikii [3]
Area equals length times width so 7 times 7 which is 49 foit tiles squared.
3 0
3 years ago
If you have $ twentyfive of quarters and dimes how much quarters and dimes do u have
mamaluj [8]

You have 400 quarters and 1,000 dimes.

For example you have four quarters in a dollar so you multiply 4*100 = 400.

For example you have ten dimes in a dollar so you multiple 10*100 = 1,000

Hope this helps!!!!!!

Please give me brainliest!!!!!!

6 0
3 years ago
Simplify....... <br><br><br><br>-9-6c-j​
marin [14]

Answer: −6c−j−9

Step-by-step explanation:

3 0
3 years ago
An observer stands 25 feet from the base of a flagpole and watches a flag being lowered at a rate of 5 ft/sec. Determine the rat
Sedaia [141]

Answer:

0.1 rad/s

Step-by-step explanation:

Since the distance from or to the flagpole is not given, I will assume. And my assumption is 50 ft

Now, the elevation angle A = 45 degrees, converting to radians, we have π/4 radians

Remember that the tan of an angle is OPP/HYP, and so

tan A = h/25, on differentiating, we have

d tan A/dA = sec^2 A = (1/25) dh/dA

Next, we have

25 sec^2 A * dA/dt= dh/dt = 5

Making dA/dt the subject of formula, we have

dA/dt = (1/5) cos^2 A

but cos^2 A from trigonometry = 1/2, this means that

dA/dt = .1 radians/second

If you want to convert to degrees, your have

.1 Rad/s( 180 deg/rad) = 18 degrees/second

3 0
3 years ago
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