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amm1812
3 years ago
9

What is the probability that you roll a dice and get 3, then get an ace from a deck, then (without replacing the other card) dra

w a black 2?
I Really need help!
Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0
<h3>Answer:  1/1989</h3>

=============================================================

Explanation:

1/6 is the probability of rolling a '3' since there is one side we want out of 6 total.

The probability of getting an ace is 4/52 because there are 4 aces out of 52 cards total.

If that card isn't put back, then we have 52-1 = 51 cards left. That means the probability of drawing a black 2 is 2/51. The numerator 2 has nothing to do with the card value of '2'. It has to do with the fact we have 2 black cards (2 of spades, 2 of clubs) out of 51 left over.

We multiply the fractions to get the final answer

(1/6)*(4/52)*(2/51)

(1*4*2)/(6*52*51)

8/15912

1/1989

When using a calculator, we can see that,

1/1989 = 0.0005 = 0.05%

There is a very small chance of all three events happening at the same time.

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The width of a rectangle is 33cm. The perimeter is at least 776 centimeters. Hat would the inequality be?
inessss [21]
So, I'm assuming you need to find the inequality of the length of the rectangle. So, since we know the perimeter of a rectangle is:
P = 2(l+w)

And you are given the w (width), and also given that the perimeter's at least 776cm:
772 \geq 2(33+l)

We just solve for l:
772 \geq 66+2l
706 \geq 2l
\frac{706}{2} \geq l
353 \geq l

So your answer is:
l  \leq 353


7 0
3 years ago
A store had 913 sodas, both diet and regular. The ratio of diet sodas to regular sodas was 8:3. How many diet sodas were there?
Elodia [21]

Answer:

<h2>There are 664 diet soda</h2>

Step-by-step explanation:

Step one:

given data

total soda= 913

we are told that the ratio of diet sodas to regular sodas is 8:3

this means that for every 8 diet soda there is 3 regular soda

the total ratio is 8+3=11

Step two:

we are going to use part to all principle

let the diet soda be x

8/11=x/913

cross multiply

11x=913*8

divide both sides by 11

x=913*8/11

x=7304/11

x=664

There are 664 diet soda

5 0
3 years ago
The expression ?/g+1 + (2g+1/g - g+1/2g) simplifies to 3g^2+10g+1/2g^2+2g. The unknown value is...
klasskru [66]

Answer: 3

Step-by-step explanation:

E2020 answer

4 0
3 years ago
Maria is traveling for business. She starts by traveling from Mexico City to Singapore which is about 1.26 x 10^4 miles. She the
Tatiana [17]
I would say c) 1.079*10^7 miles
7 0
3 years ago
An arcade charges a flat fee for $7 to enter and then $1.25 per ticket to play games. Write an equation that models the charges
Bezzdna [24]

Answer:

C = 7 + 1.25t

Step-by-step explanation:

7 remains constant

1.25 changes according to t

7 0
2 years ago
Read 2 more answers
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