MATHEMATICS HIGH SCHOOL

what is the probability that the first card is a king and the second card is a king if the sampling is done with replacement?

Answers

Answer 1
Answer:

Answer:  1/169

The calculation would be (4/52)*(4/52) which is the same as (1/13)^2

The 4/52 refers to the fact there are 4 kings out of 52 cards total.

The 1/13 is the idea where there's 1 king in any given suit of 13 cards.

Related Questions

A system of equations is shown below: n = 3m + 7 n − 2m = 1 What is the solution, in the form (m, n), to the system of equations? (3, 7) (1, 8) (−3, −2) (−6, −11)
Solve by completing the square: x^2+3x-9=0
Given that x+1 is a factor of 3x³-14x²-7x+d, show that d= 10
Solve the equation 4n-7=-23
What is the volume of the cube? A. 2744 mm3 B. 42 mm3 C. 1176 mm3 D. 196 mm3

The length of a rectangle is 5cm longer than its width.If the perimeter of the rectangle is 66cm, find its length and width.

Answers

Answer:

width is 14, length is 19

Step-by-step explanation:

let w represent the width of the rectangle.

"The length of a rectangle is 5 cm longer than its width."

You can take from this that you must add 5 to the width to get the length.

so, you can now write that L=w+5 .


The formula for perimeter is 2w+2L.

You can plug the values in.

2w+2(w+5) is the expression you get.

use distributive property on the 2(w+5) to get 2w+ 2w+10 . Add same terms together and get 4w+10, which represents the perimeter.

"..The perimeter of the rectangle is 66 cm."

Set the simplified expression 4w+10 to 66 to get

4w+10=66

Subtract 10 from both sides and get

4w=56

divide by four for both sides and get w=14 .

We are not done yet!

To find the length, plug the width back into our formula L=w+5 and get L=14+5. The length is 19.

8^x = (1/2)^(x-1)
Solve for x

Answers

I will help you with this one before giving you a helpful tool
1/4

The tool is this website: Mathway; Plug in a question and choose what you want the website to do and boom, gives you answers and if you sign up it will show you steps if you have a teacher who wants work shown

Answer:

I think this the answer 1/4

Step-by-step explanation:

Is 4,400 is 10 times as much as 440

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to do question we have to multiply 10 and 440: ("x times as much" is x Multiplied by", so "twice as much as 4 is 8", or "3 times 4 is 12),

this is 4400 or 4,400 - this is true!

I need the function for the volume of the box for number 1

Answers

Answer:

Step-by-step explanation:

The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height.  Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height.  Thus, the volume of this box must be

V(x) = (28 - 2x)*(22 - 2x)*x

and we want to maximize V(x).  

One way of doing that is to graph V(x) and look for any local maximum of the graph.  We'd want to determine the value of x for which V(x) is a maximum.

Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of  x at which V is at a maximum.

I have provided the function that you requested.  If you'd like for us to go all the way to a solution, please repost your question.

How do you find the equation of the line in standard form that is perpendicular to the line y=3x+2 and passes through (-1, 5)please help!!!

Answers

y=mx+b \perp y=3x+2 \n\Downarrow \hbox{the product of the slopes is -1} \nm * 3=-1 \nm=-(1)/(3) \n y=-(1)/(3)x+b \n \n(-1,5) \nx=-1 \ny=5 \n \Downarrow \n5=-(1)/(3) * (-1) + b \n5=(1)/(3)+b \n5-(1)/(3)=b \n(15)/(3)-(1)/(3)=b \nb=(14)/(3) \ny=-(1)/(3)x+(14)/(3) \n \ny=-(1)/(3)x+(14)/(3) \n(1)/(3)x+y=(14)/(3) \ \ \ |* 3 \n\boxed{x+3y=14}
A perpendicular line has a slope that is the negative reciprocal of the line it's crossing. The negative reciprocal of 3 is -(1/3). 

y=mx+b
5=-(1/3)(1)+b
5=(1/3)+b
4(2/3)=b

your final answer is:
y=(1/3)x+4(2/3)

5(7 − 4)2 ÷ 3 + 11 (the 2 is an exponent btw)

Answers

P.E.M.D.A.S
First subtract 4 from the 7 to give you 3.
3 with an exponent of 2 would equal 9. 5 times 9 equals 45 divided by three equals 15 plus 11 equals...

The answer: 26
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