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3 years ago

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>

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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