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Mekhanik [1.2K]
3 years ago
14

An ordinary deck of playing cards has 52 cards. There are four suits spades, hearts, diamonds, and clubs, with 13 cards in each

suit. Spades and clubs are black; hearts and diamonds are red. If two of these cards are selected at random, what is the probability that the card selected is a spade then a black face card?
Mathematics
1 answer:
AURORKA [14]3 years ago
3 0
1/4 probability because there is 4 suits and you are looking for one out of the four suits.<span />
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Dali rolled up his painting and placed it in a cylinder 2 inches diameter. If the cylinder is 20 inches long find its volume. Ro
alekssr [168]

Answer:

The correct answer is 63 cubic inches.

Step-by-step explanation:

Dali rolled up his painting and placed it in a cylinder 2 inches diameter.

Diameter of the painting is 2 inches. This also implies diameter of the cylinder is 2 inches.

Radius of the cylinder is 1 inch.

Length of the cylinder is 20 inches.

Volume of the cylinder is given by π × r^{2} × h =  π × 1^{2} × 20 = 20π = 62.85 cubic inches ≈ 63 cubic inches.

Therefore the volume of the cylinder in which Dali placed his painting is given by 63 cubic inches.

3 0
3 years ago
Mm
Novay_Z [31]

Answer:

x + 2(2x-4) = 10

Step-by-step explanation:

Here in this question, we want to select which is the correct answer if we substitute for the value of y in the second equation, using the first.

In the first, we have;

y = 2x -4

Now, let’s input this value of y into the second equation.

By direct substitution, what we have is the following;

x + 2y = 10

—-> x + 2(2x -4) = 10

8 0
3 years ago
Find the sum of 3 - 7i and 8 + 4i.
elixir [45]
Thanks for your equation!

This problem seems tricky, but is pretty simple.

All we have to do is add:

3 - 7i + 8 + 4i

And combine like terms:

-3i + 11

Hope this helps!
3 0
3 years ago
Read 2 more answers
Fred earns dollars. Chad earns 45% more than Fred which expression represents the amount of money in dollars that chad earns
Genrish500 [490]

Answer:

$0.45x

Step-by-step explanation:

Fred earns dollars. Let Fred earns $x.

Chad earns 45% more than Fred.

We need to find the expression for Chad.

Chad amount = 45% of x

=\dfrac{45}{100}x\\\\=0.45x

So, Chad earns $0.45x.

7 0
2 years ago
Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mp
mash [69]

Answer:

1) 11/3 hours or about 3.67 hours.

2) 3.75 hours.

Step-by-step explanation:

Let’s determine the time it will take for Bob to hike for each of the options.

Option 1) Hiking 5mph for 2 hours, then 3mph.

The total distance is 15 miles.

If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.

Therefore, 15-10 or 5 miles still needs to be covered.

To find how long that will take, we can simply divide the distance by the rate.

We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.

So, it will take another 1.67 hours to complete the hike.

So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.

Option 2) Hiking 4mph the entire way.

The total distance is 15 miles.

If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.

So: 15/4=3.75.

Therefore, it will take 3.75 hours to hike the entire distance going 4mph.

8 0
3 years ago
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