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3 years ago

A card is drawn at random from a deck. what is the probability that it is an ace or a king?

1 answer:

hjlf3 years ago

6 0

There are 52 cards. Of this, there are 4 aces (one of each of the four suits) and 4 kings. There are 4+4 = 8 cards that are either an ace or a king (but not both). Note that the events "drawing an ace" and "drawing a king" are mutually exclusive. Being mutually exclusive means its impossible to have both events occur simultaneously for any single card.

So there are 8 cards we want (ace or king) out of 52 total

Dividing the two values, and reducing fully, gives:
8/52 = (4*2)/(4*13) = 2/13

The final answer as a fraction is 2/13

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What is the equation of the line h Th ya has a y intercept of (0,-3) and passes through the point (-9,-9)

Nikolay [14]

Answer:

The line equation is given as: 3 y = 2 x - 9

Step-by-step explanation:

Here, Y intercept is at point ( 0.-3)

So, at x = 0, y = -3

or, C = -3

Also, the point on the equation line is (x,y) = (-9,-9)

Now, by SLOPE INTERCEPT FORM of a line equation,we get:

y = m x + C : m = slope of line ......... (1)

So, substituting the values of C and (x,y) , we get:

-9 = m (-9) + (-3)

or, -9 + 3 = - 9 m

or, m = -6/-9 = 2/3

or, m = 2/3

Now, substitute the value of m back in to the line equation (1)

$y = m x + C \implies y = (\frac{2}{3}) x - 3\\\implies 3y = 2x - 9$

Hence, the line equation is given as: 3 y = 2 x - 9.

5 0

3 years ago

A marine aquarium has a small tank and a large tank, each containing only red and blue fish. In each tank, the ratio of red fish

Anna007 [38]

Answer:

Ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279

Step-by-step explanation:

Let the number of red fish and blue fish in the large tank are x and y respectively.

Similarly ratio of red fish and blue fish in the small tank are x' and y' respectively.

Since in each tank ratio of the red fish to blue fish is 333 : 444

That means x : y = 333 : 444

Or $\frac{x}{y}=\frac{333}{444}$

⇒ $\frac{x}{y}=\frac{3}{4}$

⇒ y = $\frac{4x}{3}$ --------(1)

Similarly x' : y' = 333 : 444

⇒ $\frac{x'}{y'}=\frac{333}{444}$

⇒ $\frac{x'}{y'}=\frac{3}{4}$

⇒ x' = $\frac{3y'}{4}$ ------(2)

Ratio of the fish in large tank to the fish in small tank is 464646 : 555

So (x + y) : (x' + y') = 464646 : 555

$\frac{x+y}{x'+y'}=\frac{464646}{555}$

Now we replace the values of x and y' from equation (1) and equation (2)

$\frac{(x+\frac{4x}{3})}{(\frac{3y'}{4}+y')}=\frac{464646}{555}$

$\frac{\frac{7x}{3}}{\frac{7y'}{4}}=\frac{464646}{555}$

$\frac{4}{3}\times \frac{x}{y'}=\frac{464646}{555}$

$\frac{x}{y'}=\frac{3}{4}\times \frac{464646}{555}$

$\frac{x}{y'}=\frac{232323}{370}$

$\frac{y'}{x}=\frac{370}{232323}$

$\frac{y'}{x}=\frac{10}{6279}$

Therefore, ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279

4 0

3 years ago

Explain how you can tell that 31\33 is in simplest form

Sindrei [870]

Because there is no whole number that you can divide into both the numerator and the denominator to get a proper fraction.

3 0

2 years ago

Read 2 more answers

The outside temperature at midnight today in Polina's hometown was 18 degrees Fahrenheit. The temperature increases by 1.2 degre

densk [106]

Answer:

only students who have recess at 12 p.m. or later may go out

Step-by-step explanation:

Let the time after midnight be represented by t, and the temperature be y. Since the temperature increases by 1.2 degrees Fahrenheit each hour, the time taken to reach 32 degrees Fahrenheit can be gotten from:

y = 1.2t + 18

put y = 32

32 = 1.2t + 18

1.2t = 14

t = 14/1.2 = 11.67 hours

Since the recess starts at half hour or hour, hence the recess would start at t = 12 hours, i.e. at 12 p.m.

Hence only students who have recess at 12 p.m. or later may go out

4 0

2 years ago

3 over 8 by x Solve "x" A: 5 over 64 B: 5 over 9 C: 1 over 6 D: 3 over 4

lapo4ka [179]

Answer: 1 is correct

2 is correct

3 is correct

4 is correct

5 is correct

6 is correct

7 is correct

8 is wrong it should be because you wouldn't add you would subtract it and the other number is negative so it would be x=-26

9 is correct

10 is correct

13 is correct

14 I think is correct

I think 15 is incorrect because if he says one less than twice the number of last year then I think you first should subtract 1 from 25 and then divide by 2 this would give you 17 packages

and I think 16 is correct too.

Hope this helped

Step-by-step explanation:

7 0

2 years ago