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devlian [24]
2 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]2 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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An adult's dinner costs $7. A family of 2 adult's and 2 children pays $22 for their dinners. How many does a child's dinner cost
bonufazy [111]

Answer:

A child's dinner costs $4

Step-by-step explanation:

7 + 7 = 14

22 - 14 = 8

8 / 2 = 4

8 0
3 years ago
Determine the intercepts of the line.<br> y = 10x - 32<br> y-intercept: (<br> z-intercept: (
Rom4ik [11]

Answer:

see below

Step-by-step explanation:

y = 10x - 32

To find the x intercept set y =0 and solve for x

0 = 10x -32

Add 32 to each side

32 = 10x

Divide by 10

32/10=10x/10

3.2 = x

To find the y intercept set x =0 and solve for t

y = 10*0 -32

y= -32

5 0
3 years ago
Read 2 more answers
Pls help I’ll brainlest ASAP
Burka [1]
So, and, but, but, or, nor, so. Im pretty sure this is correct.
5 0
3 years ago
find the slope of the lines that pass through each pair of points. (-1,4) and (5,1); (-3,4) and (0, 10), m1= and m2=
Amiraneli [1.4K]

For these equations, we are going to use the slope formula, as defined below (m is slope and (x_1, y_1) and (x_2, y_2) are coordinate points):

m = \dfrac{y_2 - y_1}{x_2 - x_1}


We can simply "plug in" the coordinates we are given:

m_1 = \dfrac{1 - 4}{5 - (-1)} = \dfrac{1-4}{5+1} = - \dfrac{3}{6} = - \dfrac{1}{2}

m_2 = \dfrac{10 - 4}{0 - (-3)} = \dfrac{10-4}{3} = \dfrac{6}{3} = 2


Our answers are:

\boxed{m_1 = - \dfrac{1}{2}}

\boxed{m_2 = 2}

7 0
3 years ago
(help)How much of the circle is shaded? Write your answer as a fraction in simplest form.
VARVARA [1.3K]
1 - 2/7 - 1/3
= 21/21 - 6/21 - 7/21
= 8/21
= 1/3
8 0
3 years ago
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