Two cards are drawn from a deck of 52 cards. What is the probability that the first card
drawn is a king and the second card drawn is a heart, given that the first card is
replaced? (Hint: A deck has 4 kings and 13 hearts)

Answers

Answer 1

Answer:

1) P(First card was a king) =  1/13 2.) 1/4

Step-by-step explanation:

1) P(First card was a king) = n(King)/n(Total) = 4/52 = 1/13

2. P(Heart)13/52 = 1/4

Answer 2

Answer:

1/52

Step by step explanation:

First, find the probability that the first card will be a King. Since there are 4 possible kings, and 52 cards, the probability is 4/52.

Then, find the probability that the second card will be a heart. "given that the first card is replaced" means that there are 13 possible hearts regardless of the suit of the first card. So 13/52 is the probability.

To find the probability of both occurrences, multiply them.

4/52 * 13/52 = 52/2704

52/2704 can be simplified to 1/52. So that is the probability that the first card will be a king and the second card will be a heart.


Related Questions

can someone please help me with circle similarity?

Answers

Answer: were is your qustion at

plz make brainly

Step-by-step explanation:

7x+7=3x+27
What is the value of x

Answers

The value of x is equal to 5

Identify any outliers of the data set. Then determine the effect that the outlier has on the mean.


375, 350, 400, 375, 375, 425, 350, 125, 400


I swear I get so confused with these-

Answers

Answer:

125 is an outlier

125 changes the mean by 23 points (from 375 to 352)

Step-by-step explanation:

an outlier is 1.5 times the IQR

the InterQuartile Range of this set of data is 400-350 or 50

50 x 1.5 = 75

the only data value that is 75 points from the IQR is 125

Simplify: 25^a+3 * 5^3a

Answers

Answer:

   a

25.  + 375a

Step-by-step explanation:

Answer: 25^a + 375a

Step-by-step explanation:

bro i keep getting it wrong so can you please tell me how to solve this not just the answer

Answers

Answer:

A

Step-by-step explanation:

since it is on sale for 27%, multiply $28 by 70% (0.7) to find the total amount of money the shirt costs now that it is on sale (since it's on sale for 30% off)

$28*0.7=$19.60

Answer:

$19.60

Step-by-step explanation:

First, find 30% of $28.  :)

To do this, multiply 28 by 0.3. (30% is the same thing as 3/10 or 0.3)

28 x 0.3 = 8.4.

30% of 28 is 8.4.

Next, subtract $8.4 from $28. (Shirt on sale for 30% off)

28 - 8.4 = $19.60

Have a great day!

I need an Answer Immediately,pls!!!!!!

Answers

Answer:

See below.

Step-by-step explanation:

[tex]41.5 + 5x = 52.5\\5x = 11\\x = 2.2[/tex]

Answer:

41.5+5x=52.55x=11x=2.2

solve for x 1.6 equals 12.8​

Answers

Answer: x=14.4

Step-by-step explanation:

X would equal 14.4.

Find the volume round to the nearest hundredth

Answers

Answer:

333.67

Step-by-step explanation:

trust

Mackenzie's business trip included driving to a conference that was 470 miles away. If she averaged 55 miles per hour, how long did it take her to get to the conference?

Answers

Answer:

About 8.5 hours

Step-by-step explanation:

Divide the total number of miles by the number of miles driven per hour. 470 divided by 55 is about 8.5, so it took her about 8.5 hours to get to the conference.

The length of a planet's orbit around a star is approximately 16,340,000 km. It takes the planet about 810 Earth days to complete a full orbit. What is the planet's average speed in kmh-1 to 3sf? HELP

Answers

Answer:

841 kmh-1

Step-by-step explanation:

speed = distance / time

time = 810 x 24 = 19440

16,340,000 km / 19440 = 840.535

Complete the frequency table for the following set of data. You may optionally click a number to shade it out.
5
5,
2
2,
5
5,
2
2,
3
3,
5
5,
1
1,
1
1,
3
3,
1
1,
0
0,
4
4,
4
4,
6
6,
2
2,
1
1,
0
0,
5
5,
4
4,
7
7,
2
2,
3
3,
0
0

Answers

Answer:

0 -> 6 in frquency

1 -> 8 in frequency

2 -> 8 in frequency

3 -> 6 in frequency

4 -> 6 in frequency

5 -> 8 in frequency

6 -> 2 in frequency

7 -> 2 in frequency

Step-by-step explanation:

brainliest plz

which is equivalent to 2/9

Answers

Answer:

4/18 is equivalent to 2/9

KHAN ACADEMY..... AGAIN..

Answers

Answer:

x = 12

Step-by-step explanation:

10x+24 = 6x+72

10x - 6x = 72 - 24

4x = 48

x = 12

Answer:

144

Step-by-step explanation:

10x+24=6x+72

-6x          -6x

4x+24=72

     -24  -24

4x=48

/4   /4

x=12

<A=10(12)+24

<A=120+24

<A=144

true or false: when multiplying radicals, you multiply the radicands together and the numbers outside the radicals together

Answers

You can only multiply numbers that are inside the radical symbols

10 Which equation matches the graph? ​

Answers

Answer: the first one

Step-by-step explanation:

Answer:

I believe the answer is A) y = 2/3x + 1

Step-by-step explanation:

The y-intercept is at 1 and the slope is up 2 over 3-- meaning A is the answer

I hope this helps :)

A section of a deck is shaped like a trapezoid. For this section, the length of one base is 37 feet, and the length of the other base is 46 feet. The height is 20 feet. What is the area of this section of the deck?

Answers

Answer:

[tex]A=830\ ft^2[/tex]

Step-by-step explanation:

Given that,

The length of one base is 37 feet, and the length of the other base is 46 feet. The height is 20 feet.

We need to find the area of this section of the deck that is shaped like a trapezoid.

The area of a trapezium is given by :

[tex]A=\dfrac{a+b}{2}\times h[/tex]

a = 37 ft, b = 46 ft and h = 20 ft

Put all the values,

[tex]A=\dfrac{37+46}{2}\times 20\\\\A=830\ ft^2[/tex]

So, the area of this section of the deck is equal to [tex]830\ ft^2[/tex].

The areaol a square 1536om? What
is the side length, s?

Answers

The area of the square is side^2
1536=s^2
Square root of 1536=39.19

Side length =39.19

PLEASE I NEED HELP! Find the probability. Image attached (math)

Answers

Answer:

75/2197

or

.034137460172

Step-by-step explanation:

3/13 × 5/15 × 5/15 = 75/2197

hope this helps ^^

how do i solve this?

Answers

Answer: QO = 2 and y = 1

Explanation:

According to thales theorem:

MP/MN = MQ/MO

Thus:
6/9 = 4/y+5
2/3 = 4/y+5
2(y+5) = 4 x 3
2y + 10 = 12
2y = 2
y = 1

QO = y + 1
QO = 1 + 1
QO = 2

What is the best way for a consumer to prevent unexpected fees from a new credit card?
A. study the advertisement for the credit card
B. read the fine print of the credit card agreement
C. research laws that regulate credit card companies
D. ask the credit card company for referrals from other consumers

Answers

Its c i checked and i had the same quesitok

Quadratics and Their Solutions: I NEED HELP

Answers

Answer:

-7, 1

Step-by-step explanation:

The roots of an equation are the answers to the equation, where the graph of the equation intersects the x-axis. One can see that the points at which the graph intersect the x-axis are the following,

(-7, 0) and (1, 0), therefore the roots to the equation are the following;

-7, 1

Find arc length for QT

Answers

Step-by-step explanation:

arc length for QT = 2× 71° = 142°

Can someone please help me? I don't understand how to do this. I need to multiply this polynomial 3(X-2)^4. Also, the ^4 means the power of 4, or exponent 4.

Answers

Answer:

do you need a graph of it or it just multiplied out step by step?

Answer:

3x^4-24x^3+72x^2-96x+48

Step-by-step explanation:

1. (x-2)^4

=(x-2)(x-2)(x-2)(x-2)

=x^4-8x^3+24x^2-32x+16

2. 3(x^4-8x^3+24x^2-32x+16)

=3x^4-24x^3+72x^2-96x+48

supplementary angles: look at the attachment to see the question

Answers

Answer:

x = 21

Step-by-step explanation:

21 x 3 = 63 and 63 + 67 = 130 and sense there across from eachother this is correct because vertical angles are always the same measure.

Hope this helps!

Radioactive technetium-99m is often used in diagnostic medicine because it has relatively short half-life but lasts long enough to get the needed testing done on the patient. If its half-life is 6 hours, how much of the radioactive material from a 2.5ml injection will be in the body in 30 hours? Write your answer rounded to nearest hundredth.

Answers

Using an exponential function, it is found that 0.08 ml of the will be in the body in 30 hours.

The amount of a decaying substance is modeled by an exponential function in the following format:

[tex]A(t) = A(0)e^{-kt}[/tex]

In which:

A(0) is the initial amount.k is the decay rate, as a decimal.

In this problem, the half-life is 6 hours, which means that [tex]A(6) = 0.5A(0)[/tex], and this is used to find k.

[tex]A(t) = A(0)e^{-kt}[/tex]

[tex]0.5A(0) = A(0)e^{-6k}[/tex]

[tex]e^{-6k} = 0.5[/tex]

[tex]\ln{e^{-6k}} = \ln{0.5}[/tex]

[tex]-6k = \ln{0.5}[/tex]

[tex]k = -\frac{\ln{0.5}}{6}[/tex]

[tex]k = 0.11552453009[/tex]

Hence:

[tex]A(t) = A(0)e^{-0.11552453009t}[/tex]

2.5 ml injection, hence [tex]A(0) = 2.5[/tex]

After 30 hours, we have to find A(30), hence:

[tex]A(t) = 2.5e^{-0.11552453009t}[/tex]

[tex]A(30) = 2.5e^{-0.11552453009(30)}[/tex]

[tex]A(30) = 0.08[/tex]

0.08 ml of the will be in the body in 30 hours.

A similar problem is given at https://brainly.com/question/16984805

The measure of an angle is 40.5°. What is the measure of its supplementary angle

Answers

Answer:

Supplementary angles add to 180 degrees. So of the measure of the angle is x, the measure of its supplement is 2x. Angle = 60, supplement = 120

Step-by-step explanation:

Answer:

139.5º

Step-by-step explanation:

The sum of supplementary angles is 180º

s + 40.5 = 180

Subtract 40.5 from both sides

s = 139.5º

10. Solve for x akoajssbsbqn

Answers

Answer:

x = 5

Step-by-step explanation:

10 * 7 = x * 14

10 * 7 = 70

14 * x = 14x

14x = 70

divide each side by 14

14x / 14 = x

70 / 14 = 5

we're left with x = 5

PLS hELP CUH I GIVE BRAINLES its with a reamainder

Answers

It’s 119.05881 but if you round the number, it’s will be 119.06

is 9e+2(e+5) and 11e+5 equivalent?

Answers

No,

[tex]9e + 2(e + 5) = 11e + 10[/tex]

And 11e + 10 is not equivalent to 11e + 5

Answer:

No, its not.

9e + 2(e+5)

= 9e + 2e + 10

= 11e + 10

---> 9e+2(e+5) when simplified gives 11e + 10.

---> Therefore, its not equal to 11e + 5

I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator was wrong! Help would be greatly appreciated!

Answers

Answer:

V ≈ 3367.6 cm³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex] πr³ ( r is the radius )

Here D = 18.6 , then r = 18.6 ÷ 2 = 9.3 , so

V = [tex]\frac{4}{3}[/tex] × 3.14 × 9.3³

   = [tex]\frac{4}{3}[/tex] × 3.14 × 804.357

   = [tex]\frac{4(3.14)(804.357)}{3}[/tex]

   ≈ 3367.6 cm³ ( to the nearest tenth )

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