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quester [9]
3 years ago
5

We are drawing two cards without replacement from a standard​ 52-card deck. find the probability that we draw at least one red c

ardred card.
Mathematics
1 answer:
alina1380 [7]3 years ago
8 0
The probability of drawing only one red card in two draws without replacement is given by:
P(1\ red)=\frac{26C1\times26C1}{52C2}=0.51
The probability of drawing two red cards in two draws without replacement isgiven by:
P(2\ red)=\frac{26C2\times26C0}{52C2}=0.245
The events 'draw one red card' and 'draw two red cards' are mutually exclusive. Therefore the probability of drawing at least one red card is 0.51 + 0.245 = 0.755.
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4 years ago
-4x + 7 = 2y - 3<br> y-intercept:<br><br> x intercept:
pantera1 [17]

Answer:

x-intercept: \bigg(\frac{5}{2}, \:0\bigg)

y-intercept: (0,\:5)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x.

-4x + 7 = 2y - 3

-4x+7=2\left(\bold{0}\right)-3

Simplify 2(0):                                          -4x+7=2\cdot \:0-3

Subtract 0 - 3 = -3:                         -4x+7=-3

Subtract 7 from both sides:          -4x+7-7=-3-7

Simplify:                                         -4x=-10

Divide both sides by -4                \frac{-4x}{-4}=\frac{-10}{-4}

\bold{x=\frac{5}{2}}

To find the y-intercept, substitute in 0 for x and solve for y.

-4x + 7 = 2y - 3

-4(\bold{0})+7=2y-3

Switch sides:                               y-3=-4\left(0\right)+7

Simplify -4(0):                              2y-3=-0+7

Add 3 to both sides:                  2y-3+3=7+3

Simplify:                                      2y=10

Divide both sides by 2:             \frac{2y}{2}=\frac{10}{2}

\bold{y=5}

3 0
2 years ago
What is the length of the missing leg <br> 15 and 9 meters
Brilliant_brown [7]

Answer: 12

Step-by-step explanation: I assume you are talking about a triangle in which the Hypotenuse is 15 and leg A is 9

in this case we have to use a reverse pythagorean theorem

the original one is a^ + b^ = c^ then reverse it to get c^ - a ^ = b^

we know that C is 15 and A is 9 so substitute

15^ - 9^ = b^

15 ^ = 225 and 9^ = 81 so substitute again

225 - 81 = b^ then subtract

144 = b^  you know that the square root of 144 is 12 because 12 x 12 = 144

so 12 is the last side

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4 0
3 years ago
Two shops, Lidal and Oldi, sell the same brand of toilet rolls but with different package sizes.
Ugo [173]

Answer:

Oldi is best value

Step-by-step explanation:

<u>Lidal</u>

8 rolls for £3.76

72 rolls for £3.76*9= £33.84

<u>Oldi</u>

9 rolls for £4.14

72 rolls for £4.14*8= £33.12

Oldi offers better price for 72 rolls

5 0
3 years ago
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