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devlian [24]
3 years ago
8

Two cards are drawn without replacement from a standard deck of cards. What is the probability that the second one is a black ca

rd given that the first one is a spade.
Mathematics
1 answer:
forsale [732]3 years ago
4 0

Answer:

The probability is 169/2652

Step-by-step explanation:

The number of cards in a deck of cards is 52

In each deck of cards, there are 13 black cards and 13 spade cards

The probability of selecting a spade card will be;

13/52 = 1/4

Without replacement, we are left with 51 cards and the probability of selecting a black card will now be 13/51

So the probability of the second card being a black card if the first is spade will be ;

13/52 * 13/51

= 169/2,652

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A yogurt costs 35 pence. How many yogurts can be bought with 3 pounds?
julsineya [31]
1 pound = 100 pence
3 pounds = 300 pence

35 pence = 0.35 pounds

So 300/35 = 8 yogurts (with left 35*8 = 280
300-280 = 20 pence)
6 0
3 years ago
1. What is the volume of the following cone? *<br> 2.5 mm<br> 1<br> 12.6 mm<br> 1
mafiozo [28]

Answer: V=πr2h 3

=π·2.52·12.6 3

=82.46681

Step-by-step explanation:

3 0
3 years ago
A newly launched clothing line is rapidly increasing in popularity. Every month 20% more items of clothing are sold. If 70,800 i
prohojiy [21]

Answer:

<u>212,400 items</u> were sold in 10 months.

Step-by-step explanation:

Given:

Items sold this month = 70,800

Percent Increase in every month = 20%

We need to find number of items sold in coming 10 months.

Solution:

First we will find number of items increase in each month.

number of items increase in each month can be calculated by Percent Increase in every month multiplied by Items sold this month and the divided by 100.

number of items increase in each month = \frac{20}{100} \times 70800 = 14,160

Now we will find number of item sold in 10 months.

number of item sold in 10 months is equal to sum of Items sold this month and number of items increase in each month multiplied by 10.

framing in equation form we get;

number of item sold in 10 months = 70800+10\times 14160 = 212,400

Hence <u>212,400 items</u> were sold in 10 months.

8 0
4 years ago
The dimensions of a rectangular prism are shown below. Length 1 1/3 feet Width 1 foot length 2 1/3 feet. The lengths of the side
zysi [14]

Answer:

84 cubes

Step-by-step explanation:

Given,

The dimension of the rectangular prism are,

1\frac{1}{3}\text{ ft }\times 1\text{ ft }\times 2\frac{1}{3}\text{ ft }

Hence, the volume of the prism,

V=1\frac{1}{3}\times 1\times 2\frac{1}{3}

=\frac{4}{3}\times \frac{7}{3}

=\frac{28}{9}\text{ cube ft}

Now, the volume of a cube = side³,

If side = \frac{1}{3} ft,

Then the volume of each cube,

V'=(\frac{1}{3})^3=\frac{1}{27}\text{ cube ft}

Hence, the number of cubes that can be packet in the prism

=\frac{V}{V'}

=\frac{28/9}{1/27}

=\frac{27\times 28}{9}

=3\times 28

=84

8 0
4 years ago
Put these amounts of money in order, smallest to largest mathswatch
professor190 [17]

Answer:

£0.37

£1.03

£1.07

£1.73

£3.71

4 0
2 years ago
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