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
makkiz [27]
3 years ago
10

P(Red|Heart) when drawing one card out of deck of cards?

Mathematics
1 answer:
Sophie [7]3 years ago
3 0
13/52. There are 13 red hearts in a deck of 52 cards. 
You might be interested in
Psychologist Michael Cunningham conducted a survey of university women to see whether, upon graduation, they would prefer to mar
bagirrra123 [75]

Answer:

A.The probability that exactly six of Nate's dates are women who prefer surgeons is 0.183.

B. The probability that at least 10 of Nate's dates are women who prefer surgeons is 0.0713.

C. The expected value of X is 6.75, and the standard deviation of X is 2.17.

Step-by-step explanation:

The appropiate distribution to us in this model is the binomial distribution, as there is a sample size of n=25 "trials" with probability p=0.25 of success.

With these parameters, the probability that exactly k dates are women who prefer surgeons can be calculated as:

P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{25}{k} 0.25^{k} 0.75^{25-k}\\\\\\

A. P(x=6)

P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.00024*0.00423=0.183\\\\\\

B. P(x≥10)

P(x\geq10)=1-P(x

P(x=0) = \dbinom{25}{0} p^{0}(1-p)^{25}=1*1*0.0008=0.0008\\\\\\P(x=1) = \dbinom{25}{1} p^{1}(1-p)^{24}=25*0.25*0.001=0.0063\\\\\\P(x=2) = \dbinom{25}{2} p^{2}(1-p)^{23}=300*0.0625*0.0013=0.0251\\\\\\P(x=3) = \dbinom{25}{3} p^{3}(1-p)^{22}=2300*0.0156*0.0018=0.0641\\\\\\P(x=4) = \dbinom{25}{4} p^{4}(1-p)^{21}=12650*0.0039*0.0024=0.1175\\\\\\P(x=5) = \dbinom{25}{5} p^{5}(1-p)^{20}=53130*0.001*0.0032=0.1645\\\\\\P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.0002*0.0042=0.1828\\\\\\

P(x=7) = \dbinom{25}{7} p^{7}(1-p)^{18}=480700*0.000061*0.005638=0.1654\\\\\\P(x=8) = \dbinom{25}{8} p^{8}(1-p)^{17}=1081575*0.000015*0.007517=0.1241\\\\\\P(x=9) = \dbinom{25}{9} p^{9}(1-p)^{16}=2042975*0.000004*0.010023=0.0781\\\\\\

P(x\geq10)=1-(0.0008+0.0063+0.0251+0.0641+0.1175+0.1645+0.1828+0.1654+0.1241+0.0781)\\\\P(x\geq10)=1-0.9287=0.0713

C. The expected value (mean) and standard deviation of this binomial distribution can be calculated as:

E(x)=\mu=n\cdot p=25\cdot 0.25=6.25\\\\\sigma=\sqrt{np(1-p)}=\sqrt{25\cdot 0.25\cdot 0.75}=\sqrt{4.69}\approx2.17

4 0
2 years ago
572 cars were parked in a parking garage. The same number of cars was parked on each floor. If there were 4 floors, how many car
tatuchka [14]

Answer:

143 cars on each floor

Step-by-step explanation:

572 / 4 = 143

4 0
2 years ago
Read 2 more answers
A bag contains yellow marbles and red marbles, 31 in total. The number of yellow marbles is 1 less than 3 times the number of re
Ghella [55]

There are 15 yellow marbles and 16 red marbles

8 0
3 years ago
Two numbers have a sum of 9 when added together.
antiseptic1488 [7]

Answer:40

Step-by-step explanation:+$)#)#

5 0
3 years ago
On a piece of paper, graph f(x) = 4 x (0.5)^x
tangare [24]

The complete question is

"On a piece of paper, graph f(x) = 4. (0.5)^x Then determine which answer choice matches the graph you drew."

The given function is an exponential function. The graph of option C is the correct answer.

<h3>What are exponential functions?</h3>

When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.

There usual form is specified below. They are written in several such equivalent forms.

For example, y^x

, where a is a constant is an exponential function.

The function is given as

f(x) = 4. (0.5)^x

AS we can see that the given function is an exponential function.

Thus, the graph of option C is the correct answer.

Learn more about exponential here:

brainly.com/question/2193820

#SPJ1

6 0
1 year ago
Other questions:
  • What is (f−g)(x)? <br><br> f(x)=x^4−x^2+9 <br> g(x)=x^3+3x^2+12 <br><br> (f−g)(x)=
    12·1 answer
  • Which strategies can be used to solve this problem?
    8·1 answer
  • What is y after the following statement is executed? x = 0; y = (x &gt; 0) ? 10 : -10;?
    9·1 answer
  • Four less than the quotient of a number 1 and 5.
    7·2 answers
  • Please help ILL MARK BRAINLIEST(17 points too)
    10·1 answer
  • I'll mark you as the brainiest if you get this correct thx xxx This homework is due tomorrow thx sm for your help
    7·2 answers
  • What is the slope on this graph
    7·1 answer
  • Tim Worker wants to compare the cost of online banking with that of check writing. Tim writes an average of 35 checks a month fo
    14·1 answer
  • Elise is camping and is supposed to make cornbread for dinner. She only has a measuring scoop that measures 13 of a cup.
    14·1 answer
  • Please help <br> Find f(f(x))<br> f(x)=x^2
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!