1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
oksian1 [2.3K]
3 years ago
5

Cards. A deck of 52 cards is shuffled and dealt. Find the probabilities of the following events: a) the tenth card is a queen; b

) the twentieth card is a spade; c) the last five cards are spades;
Mathematics
1 answer:
Veronika [31]3 years ago
4 0

Answer:

  • 0.0374
  • 0.0010

Step-by-step explanation:

number of cards = 52

number of queen = 4

number of spades = 13

A) probability that the tenth card is a queen

drawn time (r) = 1

position of success(x) = 10th

p = 4/52

P( x,r,p) = x-1Cr-1*p^(r) * q^(x-r)

p(10,1,4/52) = 9C0(4/52)^1 * (48/52)^9 = 0.0374

B) probability the twentieth card is a spade

x = 20

r = 1

p = 13 / 52

P(20,1,26/52) = 19C0(26/52)^1 * (26/52)^19 = 0.0010

c)  The last five cards been spades

p(last five cards been spades )

p(48..52, 5, 13/52 ) = 47...52C4(13/52)^5 * (39/52)^48..52 - 5

 

You might be interested in
A set of data whose histogram is extremely skewed yields a sample mean and standard deviation of 69.5 and 10.75, respectively. W
frosja888 [35]
I am a beautiful person who can help you with the new one of those who are interested
3 0
3 years ago
Solve 4(3x+3)=15x+7-3x+5
Flura [38]

Answer:

Infinite amount of solutions

Step-by-step explanation:

Step 1: Write equation

4(3x + 3) = 15x + 7 - 3x + 5

Step 2: Solve for <em>x</em>

  1. Distribute 4: 12x + 12 = 15x + 7 - 3x + 5
  2. Combine like terms: 12x + 12 = 12x + 12
  3. Subtract 12 on both sides: 12x = 12x
  4. Divide both sides by 12: x = x

Here, we can see that <em>x</em> would be infinite amount of solutions. We can plug in any number <em>x</em> and it would render the equation true.

4 0
3 years ago
Last week, a skate shop originally sold a skateboard for $120. Today, there is a sale and the same skateboard costs $96. What is
Alex Ar [27]
80%. That is the answer
8 0
3 years ago
does the following system of equations have a solution if so find it. 2x+y+z= 4 x-y+3z= -2 -x+y+z= -2
saul85 [17]
I'd suggest using "elimination by addition and subtraction" here, altho' there are other approaches (such as matrices, substitution, etc.).

Note that if you add the 3rd equation to the second, the x terms cancel out, and you are left with the system

 - y + 3z = -2
   y  + z  =  -2
-----------------
         4z = -4, so z = -1.

Next, multiply the 3rd equation by 2:  You'll get -2x + 2y + 2z = -2.

Add this result to the first equation.  The 2x terms will cancel, leaving you with the system

2y + 2z = -2
  y  +  z  = 4

This would be a good time to subst. -1 for z.  We then get:

-2y - 2 = -2.  Then y must be 0.  y = 0.

Now subst. -1 for z and 0 for y in any of the original equations.

For example, x - (-1) + 3(0) = -2, so x + 1 = -2, or x = -3.

Then a tentative solution is     (-3, -1, 0).

It's very important that you ensure that this satisfies all 3 of the originale quations.
5 0
3 years ago
Please help! I’ve tried every site and nothing has helped<br><br><br>The answer is 11.8
melamori03 [73]

Answer:

11.8%

Step-by-step explanation:

Here in this question, we want to find the probability of no success in the binomial experiment for 6 trials.

Let p = probability of success = 30% = 30/100 = 0.3

q = probability of failure = 1-p = 1-0.3 = 0.7

Now to calculate the probability, we shall need to use the Bernoulli approximation of the binomial theorem.

That would be;

P(X = 0) = 6C0 p^0 q^6

6C0 is pronounced six combination zero

= 6 * 0.3^0 * 0.7^6 = 1 * 1 * 0.117649 = 0.117649

This is approximately 0.1176

If we convert this to percentage we have 11.76%

But we want our answer rounded to the nearest tenth of a percent and that is 11.8%

8 0
3 years ago
Other questions:
  • Is the square root of 7 an irrational number
    7·1 answer
  • A bag contains four red marble, five blue marbles, and two green marbles. if one marble is chosen randomly, what is the probabil
    13·2 answers
  • What does the point lie on if it is equidistant from the two sides of the angle?
    7·1 answer
  • The perimeter of a square is 1/5 meter. find the length of each side in meters?
    12·1 answer
  • PLEASE HELP BEST ANSWER GETS BRAINLIEST
    9·1 answer
  • if i had 2 cookies and one of my friends asked for 1, then another friend asked for 1, then another friend asked for one. what d
    11·2 answers
  • Which expression is equivalent to 16x^4 - 64?
    13·2 answers
  • What is the slope of the line whose equation is y=3/5x-4
    6·1 answer
  • Solve for x <br><br> 5/6 = x/4
    13·2 answers
  • Sophia is furniture shopping for her new apartment. She has picked out a bed that costs $1,867, a sofa that is priced at
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!