A standard deck of cards is purchased, and the deck includes 3 jokers. This means if the jokers are included, the deck contains 5 5 cards. Teresa is playing a game in which she is dealt 8 cards from a deck that includes the jokers. What is the probability that Teresa's hand includes at least one joker?
Answer:
The probability is [tex]0.3819[/tex]
Step-by-step explanation:
We know that Teresa is playing a game in which she is dealt 8 cards from a deck that includes 3 jokers and 52 common cards (a total of 55 cards).
Let's define the following random variable :
[tex]X[/tex] : '' Number of jokers in the hand of Teresa ''
We need to find [tex]P(X\geq 1)[/tex]
This probability is equivalent to :
[tex]P(X\geq 1)=1-P(X=0)[/tex]
[tex]P(X=0)[/tex] is the probability of having none jokers in the 8 card hand.
In order to find [tex]P(X=0)[/tex] we are going to count all the cases in which [tex]X=0[/tex] (given that we are in presence of an equally - likely sample space)
We calculate [tex]P(X=0)[/tex] as :
[tex]P(X=0)=\frac{\left(\begin{array}{c}52&8\end{array}\right)\left(\begin{array}{c}3&0\end{array}\right)}{\left(\begin{array}{c}55&8\end{array}\right)}[/tex]
We define the combinatorial number [tex]nCr=\left(\begin{array}{c}n&r\end{array}\right)=\frac{n!}{r!(n-r)!}[/tex]
In the denominator we have [tex]\left(\begin{array}{c}55&8\end{array}\right)[/tex] which represents all the ways in which we can extract 8 cards from the deck of 55 cards.
In the numerator we have the product of [tex]\left(\begin{array}{c}52&8\end{array}\right)[/tex] (which represents all the ways in which we can choose 8 cards from the 52 common cards) and [tex]\left(\begin{array}{c}3&0\end{array}\right)[/tex] (which represents that from the total of 3 jokers we extract 0)
If we perform the operation we find that :
[tex]P(X=0)=0.6181[/tex]
Finally,
[tex]P(X\geq 1)=1-P(X=0)=1-0.6181=0.3819[/tex]
The probability is [tex]0.3819[/tex]
Should inequality sign flip when solving the problem
Solve the inequality 3(4-6)+2≥2(-t+3)+4. Then graph the solution
Answer:
It will be t>=7
Step-by-step explanation:
A baseball player made six hits in nine innings. What is the ratio of hits to innings? a. 2:3 c. 2:5 b. 3:2 d. 5:2
Answer:
The Answer is 2:3 because you break 6 and 9 in half.
Step-by-step explanation
It is 6 hits and 9 innings. Well 6:9. Is that one of your answers. No so you have to simplify it.
Brainliest 5 stars Thanks!
Use the Remainder Theorem.
Answer:
If f(1)=0 then 1 is a root and (x-1) is a factor of f(x). divide f(x) by (x-1). you now have a quadratic. Find its roots by methods you know.
actually this factors by grouping:
f(x)=x³+3x²-x-3
= x²(x+3)-1(x+3)
=(x+3)(x²-1)
=(x+3)(x-1)(x+1) // difference of squares
By zero product property roots are
-3, -1, 1
HELPPPPP
Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x
h(g(f(x))) = ______x² + _____x + ____
1. -8, 4, 8
2. -20, 20, -40
3. 50, -50, 25
Answer:
1st multiply g and f then h
-8, -40, -50
edgenulty 2020
Holly missed 7 of 181 school days this year. Approximately what percent of school days was Holly in attendance?
Answer:
96.13%
Step-by-step explanation:
181-7=174. 174/181
I need help please guys
Answer:
Angle T = Angle Q
Step-by-step explanation:
Logical
Sorrel has 54 beads, and 16 of them are red. Of the remaining beads, half are yellow and half are green. How many yellow beads does she have?
Answer:
Step-by-step explanation:
54-16=38
38 divided by 1/2 is 19
so your answer is 19
hope that helps
Write an equation to represent the situation. What do the variables represent?
Answer:
2+5 = 7 is the related addition sentence that shows the commutative property of addition because it has fsdagsfdfgsfsdgfadbadfgathe same result of addition as 5+2=7.
Commutative property of addition says that if we have two numbers we have interchange them and this doesnot affect the result....
Step-by-step explanation:
Solve the system using substitution. 5x-y=73 and 2y=x
Answer:
Point form:( [tex]\frac{146}{9} \\\\[/tex], [tex]\frac{73}{9}[/tex])
Equation form: x= [tex]\frac{146}{9}[/tex], y= [tex]\frac{73}{9}[/tex]
Step-by-step explanation:
Plz mark brainliest.
y = 0.4x^2 + 2x + 2.5
please help!!
Answer:
x=
2
5
=2.500
Step-by-step explanation:
What are some of the cities where jazz first developed during the 1920s and 1930s? Why do you think these particular cities became important sites for jazz? From the timeline, on the left choose one subgenre of jazz and discuss what elements are found in this type of music. Choose one decade from the timeline on the left, and discuss how that particular decade influenced the development of jazz music. What is hard bop? What is jazz fusion? What is jazz like today? After listening to some of the music from different jazz composers, which one do you like the best? Why?
Answer:
1. Chicago, Detroit, Kansas City. Because they’re larger cities where pop culture thrives.
2. Hot Jazz. Hot Jazz is heavily dependant on improvisation. The key element of hot jazz was artists coming up with music on the spot and fast paced as well.
3. The roaring 20s had a huge impact on jazz. The roaring 20s was one of the first major revolutions in pop culture where people were turning away from traditional things and turning to new ideas, music, clothing, etc. This caused jazz to boom because it was a brand new style that was less constricted by society than music created prior to it.
4. A faster paced, more aggressive style of jazz.
5. A style of jazz that included many rock music characteristics.
6. Jazz, although less popular, can be found in lots of pieces today. It is either more modernized in new music, or is still the same as it was.
7. I like hot jazz the best because of the musical improvisation. I find it shows true talent the best in jazz musicians.
*The last questions not mentioned in the original question:
What are some ways that modern technology is used in music today that is different than music from when jazz originated? How do you think emerging technology will affect music in the future? - Music isn’t as real anymore. Most of today’s music in pop culture is produced by a computer rather than played live. Technology will, although continue to revolutionize music in the future, take away the element of true talent of music being played live like older jazz musicians once did.
According to Stefon Harris, what counts as a “mistake” in jazz? - Not incorporating or choosing to neglect other bandmate’s ideas when creating music.
Step-by-step explanation:
You're welcome lovelies get that A for me
Madeline has a mask collection of 260 masks. She keeps 117 of the masks on her wall. What percentage of Madeline's mask collection does she keep on her wall?
Answer:
55%
Step-by-step explanation:
14x6 / 14*6 whatever I hate math but I am good but I am tired so answer my question.
Answer:
x
Step-by-step explanation:
14*6=84
84x/84=x
Which expression is equivalent to three times the sum of six and five?
A. 3 × 6 + 5
B. 3 × 5 + 6
C. 3(6 + 5)
D. 3 + (5 × 6)
Answer: C 3(6+5)
3 multiplied by the sum or (6+5)
Solve the equation.
-8(x+1) + 2x = -32
X= 4
Step-by-step explanation:
:)
En una clase, 1/3 de los estudiantes eligieron estudiar español como segundo lenguaje vivo. 1/9 eligió italiano, el resto eligió alemán. Qué fracción de los estudiantes de la clase eligieron estudiar alemán? Si hay 15 estudiantes estudiar alemán, ¿cuántos estudiantes no estudian alemán?
Answer:
5/9
12
Step-by-step explanation:
La clase entera es 1.
1/3 estudian español.
1/9 estudian italiano.
1 - 1/3 - 1/9 estudian alemán.
1 - 1/3 - 1/9 = 9/9 - 3/9 - 1/9 = 5/9
5/9 de los estudiantes estudian alemán.
n = numero total de estudiantes en la clase.
5/9 n = 15
9/5 * 5/9 * n = 15 * 9/5
n = 27
Hay 27 estudiantes en la clase.
27 - 15 = 12
12 estudiantes no estudian alemán.
Jack is playing an online puzzle game. He has 100 points and earns 10 points for each puzzle he solves correctly. He will advance to the next round if his score is over 250 points.
Which inequality can Jack use to find how many more puzzles he must solve to advance to the next round?
A. 10x + 100 > 250
B. 10x + 100 < 250
C. 100x + 10 > 250
D. 10x + 250 < 100
PLZ HELPPP
Answer:
a
Step-by-step explanation:
a is the right answer and x would be 15
Answer:
It's A.
Step-by-step explanation:
It's verified as the correct answer for me.
can you tell me which one of these is the answer? I need help lol
Answer:no, because each -x value must have 1 -y value paired with it
Step-by-step explanation:
Answer:
The third is the answer I think.
Step-by-step explanation:
An X value cannot have two y values, but a y value can have two x values.
What does spontaneous mean????????????
Answer:
performed or occurring as a result of a sudden inner impulse or inclination and without premeditation or external stimulus.
Basically, you do things spur of the moment.
Step-by-step explanation:
Answer: The definition of spontaneous is unplanned or done on impulse. An example of spontaneous is waking up and deciding to take a trip across the country that day. adjective.
Hope this helps... stay safe and have a great day!!! :D
Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons how many liters of water will you need to make lemonade?
Answer:
6 Liters
Step-by-step
4 Lemons = 3 Liters
8 Lemons = 6 Liters
So its basicly multiplying it by 2 ^O^
Answer:
X = 6
Step-by-step explanation:
number of lemons. Liters
4 ---> 3
8 ---> X
= 4:8 = 3: X
= 4 = 3
8 X
= 4X = 3×8
= X = 3 × 8
4
= X = 6 answer X=6
Tyler bought 3 calculators and 7 pens for $67.80. Barbra bought 6 calculators and 2 pens for $92.40. How much does each pen cost?
Answer:
Each pen costs $3.60 (Each calculator costs $14.20).
Step-by-step explanation:
Let c represent calculator
Let p represent pen
3c + 7p = 67.8
6c + 2p = 92.4
Step 1: Solve 3c + 7p = 67.8 for c:
3c + 7p = 67.8
3c + 7p + −7p = 67.8 + −7p (Add -7p to both sides)
3c = −7p + 67.8
3c/3 = −7p + 67.8/3 (Divide both sides by 3)
c = −7/3p + 22.6
Step 2: Substitute −7/3p + 22.6 for c in 6c + 2p = 92.4:
6c+2p=92.4
6(−7/3p + 22.6) + 2p = 92.4
−12p + 135.6 = 92.4 (Simplify both sides of the equation)
−12p + 135.6 + −135.6 = 92.4 + −135.6 (Add -135.6 to both sides)
−12p = −43.2
−12p/−12 = −43.2/−12 (Divide both sides by -12)
p = 3.6
Step 3: Substitute 3.6 for p in c = −7/3p + 22.6:
c = −7/3p + 22.6
c= −7/3(3.6) + 22.6
c = 14.2 (Simplify both sides of the equation)
Answer:
c = 14.2 and p = 3.6
Hope this helps and have a great day :)
And please mark me brainliest if you can :)
please help me with the answer
he linear function graphed below represents the value of a comic book since Lucy purchased it. What was the value of the comic book when Lucy bought it? A graph titled Value of Lucy' s Comic Book has Years since Lucy bought comic book on the x-axis, and value (dollars) on the y-axis. Points are at (1, 40), (2, 55), (3, 70), (4, 85). $10 $15 $25 $40
Answer:
C. $25
Step-by-step explanation:
#dg#nutiy
Answer:
The answer is 25.
Step-by-step explanation:
I did it on Edge.. and got it right
Que entiendes com latinoamerica?
Solve for x. 5(x - 3) + 4(x + 3) = 3(x - 1)
Answer:
x = 0
Step-by-step explanation:
5(x - 3) + 4(x + 3) = 3(x - 1)
5x - 15 + 4x + 12 = 3x - 3
5x + 4x + 12 - 15 = 3x - 3
9x - 3 = 3x - 3
9x = 3x - 3 + 3
9x = 3x
9x - 3x = 3x - 3x
6x = 0
6x ÷ 6 = 0 ÷ 6
x = 0
Answer:
5( x− 3 ) + 4 ( x +3)
9x − 3 = 3(x− 1 ) Simplify 3 ( x − 1 ) .
9 x − 3 = 3 x − 3
Move all terms containing x to the left side of the equation.
6 x − 3 = −3
Move all terms not containing x
to the right side of the equation.
6 x = 0
Divide each term by 6 and simplify.
x = 0
-1/2(2n + 4) + 6 = –9 + 4(2n + 1)
Answer: 1/3=n
Step-by-step explanation:
-1/2(2n + 4) + 6 = –9 + 4(2n + 1)
Distribute:
-1n-2+6=-9+8n+4
Combine like terms:
-1n-2+6=-9+8n+4
-1n+4=-5+8n
Add 1n on both sides:
-1n+4=-5+8n
-1n+1n+4=-5+8n+1n
4=-5+9n
Add 5 on both sides:
4+5=-5+5+9n
9=9n
Divide 9 on both sides:
9/9=9n/9
1=n
The dimensions of rectangular box are 4.4 inches, 5.6 inches, and 8 2 inches what is the surface area
Answer:
213.28 in^2
Step-by-step explanation:
surface area = 2(LW + LH + WH)
surface area = 2[(4.4 in)(5.6 in) + (4.4 in)(8.2 in) + (5.6 in)(8.2 in)]
surface area = 213.28 in^2
during migration , a butterfly can travel 30 miles in 1 hour . which graph best represents y , the number of miles a butterfly can travel in x hours ?
Answer:
if you also now what this person is talking about it is b
Step-by-step explanation:
30 miles is 1 hour
60 miles is 2 hours
and so forward