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BabaBlast [244]

3 years ago

11

Assume a fair deck of playing cards. Find the probability of drawing a 10, replacing it and drawing an ace.

1 answer:

cupoosta [38]3 years ago

6 0

Answer:

There are 52 cards in a deck. The total number of outcomes possible when picking 2 cards and replacing them is 52 * 52 = 2704.

There are 4 10s and 4 aces so the total number of successful outcomes = 4 * 4 = 16.

Probability = 16 / 2704 = 1 / 169

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Use substitution to solve the following system of linear equations and fill in the following blanks:

marissa [1.9K]

Answer:

$x=-4$

$y=3$

$z=-5$

Step-by-step explanation:

<u>Given:</u>

$x+y+z=-6$

$x-6y-7z=-29$

$-7y-5z=4$

<u>Solve for </u> $x$ <u> in the 1st equation:</u>

$x+y+z=-6$

$x+y=-z-6$

$x=-y-z-6$

<u>Substitute the value of </u> $x$ <u> into the 2nd equation and solve for </u> $z$ <u>:</u>

$x-6y-7z=-29$

$(-y-z-6)-6y-7=-29$

$-7y-z-13=-29$

$-7y-z=-16$

$-z=-16+7y$

$z=16-7y$

<u>Substitute the value of </u> $z$ <u> into the 3rd equation and solve for </u> $y$ <u>:</u>

$-7y-5z=4$

$-7y-5(16-7y)=4$

$-7y-80+35y=4$

$28y-80=4$

$28y=84$

$y=3$

<u>Plug </u> $y=3$ <u> into the solved expression for </u> $z$ <u> and evaluate to solve for </u> $z$ <u>:</u>

$z=16-7(3)$

$z=16-21$

$z=-5$

<u>Plug </u> $z=-5$ <u> into the solved expression for </u> $x$ <u> and evaluate to solve for </u> $x$ <u>:</u>

$x=-(3)-(-5)-6$

$x=-3+5-6$

$x=2-6$

$x=-4$

Therefore:

$x=-4$

$y=3$

$z=-5$

6 0

3 years ago

−3x^ 2 +6x+9=<br> factor

GrogVix [38]

Answer:

the answer in factor form would be

-3(

7 0

3 years ago

Find the equivalent exponential expression

Artemon [7]

[(-5)^3]^2
= (-5)^(3*2)
=(-5)^6

answer
(-5)^6

4 0

3 years ago

Find side BC. Round your answer to the nearest hundredth.

kirza4 [7]

Answer:

BC= 1.92837

Step-by-step explanation:

sin40=0.64279

or,perpendicular(BC)<em>/</em>hypotenuse(AB)=0.64279

or,BC/AB=0.64279

or,BC/3=0.64279

or,BC=0.64279 x 3

:.BC=1.92837 <u>ans</u>

4 0

3 years ago

What is the.answer to 10-(-9)?

Vera_Pavlovna [14]

10-(-9)
10+9
19
the answer is 19

8 0

3 years ago