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3 years ago

What is the probability of drawing two aces in a row from a deck of 52 cards, replacing the first card and reshuffling the deck?

Mathematics

1 answer:

sineoko [7]3 years ago

5 0

Answer:

1/169

Step-by-step explanation:

There are 4 aces in a deck of 52.

The probability that the first card is an ace is 4/52.

Since the card is replaced, the probability that the second card is an ace is also 4/52.

The total probability is (4/52) (4/52) = 1/169.

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Solve this problem using subtraction. 30-(15-5)=?

elena55 [62]

The answer is 20 because first you work with what is in parentheses first which is order of operations (15-5), which is equal to 10 and 30-10=20

6 0

3 years ago

Read 2 more answers

What is the remainder of the following division problem? x startlongdivisionsymbol x 1 endlongdivisionsymbol. minus x to get a r

irga5000 [103]

The remainder of the expression x/(x + 1) is a negative one. Then the correct option is D.

<h3>What is division?</h3>

The division means the separation of something into different parts, sharing of something among different people, places, etc.

The expression is given below.

$\rm \rightarrow \dfrac{x}{x+1}$

Add and subtract 1 in the numerator, then we have

$\rm \rightarrow \dfrac{x+1-1}{x+1}\\\rm \rightarrow 1 -\dfrac{1}{x+1}$

Then the remainder will be a negative one.

More about the division link is given below.

brainly.com/question/369266

5 0

3 years ago

For the rational function f(x)=5−xx2+5x+6, find the points on the graph at the function value f(x)=3.

Anit [1.1K]

Given:

The rational function is:

$f(x)=\dfrac{5-x}{x^2+5x+6}$

To find:

The points on the graph at the function value $f(x)=3$ .

Solution:

We have,

$f(x)=\dfrac{5-x}{x^2+5x+6}$

Substituting $f(x)=3$ , we get

$3=\dfrac{5-x}{x^2+5x+6}$

$3(x^2+5x+6)=5-x$

$3x^2+15x+18=5-x$

Moving all the terms on one side, we get

$3x^2+15x+18-5+x=0$

$3x^2+16x+13=0$

Splitting the middle term, we get

$3x^2+3x+13x+13=0$

$3x(x+1)+13(x+1)=0$

$(3x+13)(x+1)=0$

Using zero product property, we get

$(3x+13)=0\text{ or }(x+1)=0$

$x=-\dfrac{13}{3}\text{ or }x=-1$

Therefore, the required values are $-\dfrac{13}{3},-1$ .

7 0

3 years ago

5 -2x + 6y= -38<br> ? 3x – 4y = 32<br> •(-4, - 5)<br> •(-5, 4)<br> •(1, – 6)<br> (4, - 5)

Svet_ta [14]

Answer:

Option D (4, -5)

Step-by-step explanation:

This question can be solved by various methods. I will be using the hit and trial method. I will plug in all the options in the both the given equations and see if they balance simultaneously.

Checking Option 1 by plugging (-4, -5) in the first equation:

-2(-4) + 6(-5) = -38 implies 8 - 30 = -38 (not true).

Checking Option 2 by plugging (-5, 4) in the first equation:

-2(-5) + 6(4) = -38 implies 10 + 24 = -38 (not true).

Checking Option 3 by plugging (1, -6) in the second equation:

3(1) - 4(-6) = 32 implies 3 + 24 = 32 (not true).

Since all the options except Option 4 have been ruled out, therefore, (4,-5) is the correct answer!!!

7 0

3 years ago

Diagram shows the composite solid formed by a cuboid and a right prism. Trapezium LMNP is the uniform cross section of the prism

kherson [118]

Answer:

MN = 7 cm

Step-by-step explanation:

Well the volume we can separate into pieces

first the ABCDEFGH (? you know this cuboid)

which has a volume of

$V = AB\cdot BC\cdot CH\\\\V = 3*6*(3+JY+4)$

if you ask where does the 4 come from

it comes from LP = KB = YC and JY + YC =JC

$V = 18(7+MX)$

this is because JY = MX

the other volume is of BCNPKLXY (hope you understand which one)

and the volume is

$V = BP*PN*NX\\\\V=8*6*4\\\\V = 192$

and the last one is KYXLMJ (the top "triangle")

the volume is

$V = \frac{LX*XM}{2}*LK\\\\V = \frac{6*MX}{2}*8\\\\V= 6*4*MX\\\\V=24MX$

so now add them up

and has to equal 444

$V_T = 18(7+MX)+192+24MX\\\\V_T = 126+18MX+192+24MX\\\\V_T = 318+42MX\\\\444=318+42MX\\\\444-318=42MX\\\\126=42MX\\\\MX = 3$

and finally we know that MN = MX + XN = 3+4 = 7

so here is our answer MN = 7 cm

a couple of notes

$1.\:\angle LXM = 90\\\\2.\:\angle KYX = 90$

3. the units don't matter due to the fact that everything is in cm

4. see the picture below to get a better idea of which prism I am talking of

5. tell me if you have questions :D

8 0

3 years ago