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Marta_Voda [28]

3 years ago

9

Three cards are drawn from a standard deck. What is the probability that all three are hearts, given that at least two of them a

re hearts

1 answer:

bogdanovich [222]3 years ago

3 0

Answer:

1/3 I believe because we already know 2 of them are hearts

Step-by-step explanation:

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10. Simplify the rational expression by rationalizing the denominator. 3 sqrt 160/sqrt 1350x A) 2 sqrt 15x/15x B) 3 sqrt 160/135

Viefleur [7K]

The simplified expression by rationalizing the denominator is (C) $\frac{4 \sqrt{15x} }{15x}$ .

First we must simplify the expression:
$\frac{3 \sqrt{160} }{\sqrt{1350x} } = \frac{12 \sqrt{10} }{15 \sqrt{6x} } = \frac{4 \sqrt{10} }{5 \sqrt{6x} }$

Then we factor the rational parts and cancel it out:
$\frac{4 \sqrt{2} \sqrt{5} }{5 \sqrt{2} \sqrt{3x} } = \frac{4\sqrt{5} }{5\sqrt{3x} }$

Then we rationalize the expression:
$\frac{4\sqrt{5} }{5\sqrt{3x} } * \frac{\sqrt{3x} }{\sqrt{3x} } = \frac{4 \sqrt{15x} }{5*3x} = \frac{4 \sqrt{15x} }{15x}$

<span>Finally, the simplified expression by rationalizing the denominator is (C) $\frac{4 \sqrt{15x} }{15x}$ .</span>

7 0

3 years ago

Anita has 1 ¼ as much money as Tonya , and Tonya has ⅔ ( two-

Debora [2.8K]

Answer:

b

Step-by-step explanation:

6 0

3 years ago

If the graph of the following parabola is shifted one unit left and two units up,

Diano4ka-milaya [45]

Answer: (x+1)^2=12(y-2)

Step-by-step explanation:

5 0

3 years ago

A line with a slope of - 8 passes through the points ( - 1, z) and ( - 2, 7). What is the value of z?

ikadub [295]

Answer:

z = -1

Step-by-step explanation:

7 - z / -2 - (-1)

7 - z / -2+1

7 - z / -1

-7 +z = -8

z = -1

to check the work

(-1,-1) (-2,7)

7 + 1 / -2 + 1

8 / -1

= -8

4 0

3 years ago

Explain how you could add 678 + 303 using mental math

Bad White [126]

Okay well I do it like this. 3+8=11. I put a 1 down and carry the other. so I do 7+0+1=8 so now I have 81, and last I do 6+3=9. so the answer would be 981.

Have a nice day!

6 0

3 years ago

Read 2 more answers