We know that , there are 2 black ace cards out of 52 cards in a deck & 13 hearts out of 52 cards . Here we have to tell What is the probability of drawing a black ace followed by a heart out of a deck when the cards aren't replaced . Let's find out:

Firstly , a black ace is drawn , so probability :

⇒ $P(Black) = \frac{2}{52}$

Now , A heart is drawn out of 51 cards ( as one black ace is already drawn !):

⇒ $P(Heart) = \frac{13}{51}$

So , Probability of occurring both events is :

⇒ $P(Black)(P(Heart))$

⇒ $\frac{2}{52} (\frac{13}{51} )$

⇒ $0.0098$

Percentage = $0.0098(100) = 0.98$ %

Therefore , Correct option C) 0.98%

7 0

3 years ago

I need help!!!! What is x

Dahasolnce [82]

Answer:

x=58 degrees

Step-by-step explanation:

The angle is a right angle (90 degrees)

90-32=58

4 0

3 years ago

Read 2 more answers

Determine if the following table represents a quadratic function.

snow_tiger [21]

Answer:

The options are not visible enough (See Explanation)

Step-by-step explanation:

Given

x:- 1 || 2 || 3 || 4 || 5

y:- 13 || 22 || 37 || 58 || 85

Required

Determine if the function is quadratic

Calculate the difference between the values of y

$Difference = 22 - 13 = 9$

$Difference = 37 - 22 = 15$

$Difference = 58 - 37 = 21$

$Difference = 85 - 58 = 27$

The resulting difference are: 9 || 15 || 21 || 27

Next; Calculate the difference between the difference of values of y

$Difference = 15 - 9 = 6$

$Difference = 21 - 15 = 6$

$Difference = 27 - 21 = 6$

The resulting difference are: 6 || 6 || 6

For the function to be quadratic, the above difference must be the same and since they are the same (6), then the function represents a quadratic function.

7 0

3 years ago

Grant can pick 9 tomatoes in 12 minutes. How many tomatoes can grant pick in one hour?

blagie [28]

Answer:

45 tomatoes

Step-by-step explanation:

1 hour = 60 minutes

60 ÷ 12 = 5

you can get 9 tomatoes every 12 minutes, 5 times in one hour

9 × 5 = 45

3 0

3 years ago