Blackjack is a popular card game or cards are assigned various point values. Face cards and tens are the only cards worth 10 points. Each round begins with the player being dealt two cards. The table below is a partially completed probability distribution for the random variable Y, where Y is the number of 10 point cards a player gets at the beginning of a round. Find the missing probability in the table for P(0).
Answers
The probability of not drawing a 10-point card in the first two draws in a game of Blackjack, represented as P(0), is approximately 0.475 or 47.5%.
Explanation:The subject of this question is probability in the card game of Blackjack, specifically relating to the chance of drawing a 10-point card (all tens and face cards). To calculate the probability of not drawing any 10-point cards in the initial draw (2 cards), we need to determine the total number of 10-point cards and two-card combinations that do not involve any 10-point card.
A standard deck of 52 cards has 16 that are worth 10 points (four tens, four jacks, four queens, and four kings). The number of all possible two-card draws is '52 choose 2', or 1326 (calculated using combination formula).
The number of two-card combinations not involving any 10-point card, is equal to '36 choose 2', as there are 36 non-10-point cards in the deck (52 total minus 16 that are worth 10). This equals 630.
Therefore, the probability P(0), i.e., of not drawing any 10-point cards in the initial draw, is 630 / 1326 = 0.475 or 47.5%.
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The missing probability in the table, representing the likelihood of drawing one 10 point card at the beginning of a Blackjack round is 0.475.
Explanation:Let's solve for P(Y = 0) given the probability distribution table for the random variable Y, where Y represents the number of 10-point cards a player gets at the beginning of a round:
Y 0 1 2
P(Y) ? 0.435 0.090
We know that the sum of all probabilities for all possible outcomes must equal 1. Therefore:
[tex]\[ P(Y = 0) + P(Y = 1) + P(Y = 2) = 1 \][/tex]
Substituting the known probabilities:
[tex]\[ P(Y = 0) + 0.435 + 0.090 = 1 \][/tex]
Now, solve for P(Y = 0):
[tex]\[ P(Y = 0) = 1 - 0.435 - 0.090 \][/tex]
[tex]\[ P(Y = 0) = 0.475 \][/tex]
So, after the calculation, P(Y = 0) equals 0.475.
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Question:Blackjack is a popular card game or cards are assigned various point values. Face cards and tens are the only cards worth 10 points. Each round begins with the player being dealt two cards.
The table below is a partially completed probability distribution for the random variable Y, where Y is the number of 10 point cards a player gets at the beginning of a round.
Y 0 1 2
P(Y) ? 0.435 0.090
Find the missing probability in the table.
P(Y=0) =
Related Questions
PLEASE HELP ME!! f(x) = -4x2 + 10x – 8
What is the value of the discriminant of f?
How many distinct real number zeros does f have?
Answers
The discriminant of the quadratic function f(x) = -4x^2 + 10x - 8 is -28. Since the discriminant is negative, there are no distinct real number zeros for this function.
Your question involves finding the discriminant of the quadratic function f(x) = -4x2 + 10x - 8 and determining how many distinct real number zeros it has. The discriminant of a quadratic equation in the form ax2 + bx + c is given by b2 - 4ac. In your case, a = -4, b = 10, and c = -8. Let's calculate the discriminant:
b2 - 4ac = (10)2 - 4(-4)(-8)
b2 - 4ac = 100 - 128
b2 - 4ac = -28
Since the discriminant is negative (b2 - 4ac < 0), the quadratic function f(x) has no real number of zeros. Therefore, the graph of the function does not cross the x-axis, and there are no distinct real roots.
Find the shaded area.
Answers
Answer:
13.73
Step-by-step explanation:
Answer: 13.7345175425633 square feet
The rounding instructions are cut off, so it's not clear how you want to round this.
========================================================
Explanation:
The area of the square is 8*8 = 64 square feet.
The two unshaded semicircles combine to form a full circle of radius 4 ft. This circle has an area of A = pi*r^2 = pi*4^2 = 16pi square feet.
The shaded area is the result of taking the circle area away from the larger square area
shaded area = (area of large square) - (area of two semicircles)
shaded area = (area of large square) - (area of circle with radius 4)
shaded area = 64 - 16pi = exact value
shaded area = 13.7345175425633 = approximate value
How many milliliters equal 54.7 liters?
Answers
Answer:
54700
Step-by-step explanation:
Answer:
Their are 54700 milliliters in a liter
Step-by-step explanation:
Which fraction is equivalent to 4/-9? A. -4/-9 B. 9/4 C.-9/4 D. -4/9
Answers
Answer:
-4/9 ,Option d
Step-by-step explanation:
4/-9
=-4/9
-4/-9=4/9 which is not equivalent
=9/4 is not equal to 4/-9
=-9/4 is not equal to 4/-9
Find the equation of the line parallel to x + y = 7 and through the point (-3,2). Write your answer in slope-intercept form.
Answers
Answer:
r:x+y=7 P0 (-3,2)
r// y=x
y-y0=m0(x-x0)
y-2=1(x+3)
y-2=x+3
y=x+5
Alex paid a total of $530 for t tickets to a concert. How much did each ticket cost?
Answers
Answer:
$530/T
Step-by-step explanation:
Lou has the first 4 encyclopedias lined up on a shelf, A, B, C, and D. If he picks two at random, what is the probability that he picks A first and B second?
A) 1/24 B) 1/6 C) ½ D) 1/12
Answers
Answer:
D
Step-by-step explanation:
Given:
Lou has the first 4 encyclopedias lined up on a shelf, A, B, C, and D.
To find: probability that he picks A first and B second if he picks two at random
Solution:
Total number of outcomes = [tex]4!=4(3)(2)(1)=24[/tex]
Favourable outcomes are ABCD, ABDC
Number of favourable outcomes = 2
probability that he picks A first and B second = Number of favourable outcomes / Total number of outcomes = [tex]\frac{2}{24}=\frac{1}{12}[/tex]
Subtract the following polynomials.
(5x2+6)−(6x−5x2)
im bad at math ;-;
Answers
Answer:
First off if you want this answered make sure it's clear when your multiplying or using X
(5x^2+6)-(6x-5x^2)
5x^2 -- 5x^2 = 10x^2
10x^2 -6x + 6
A stained glass window has an area of 900 square inches.
a. One window design is made of rectangular stained glass pieces that are 5 inches by 3 inches. How many stained glass pieces are used in the window?
b. Another window design is made of square stained glass pieces that are 6 inches by 6 inches. How many stained glass pieces are used in the window?
Answers
Answer:
a. 60
b. 25
Step-by-step explanation:
Given that the stained glass window has an area of 900 square inches and this is made of smaller rectangular stained glass pieces, the number of smaller rectangular stained glass pieces used will be equal to the total area (900 square inches) to the area of the smaller rectangular piece.
The area A of the rectangular piece of length l and width w may be stated as
A = l * w
Hence given that
- One window design is made of rectangular stained glass pieces that are 5 inches by 3 inches, number of stained glass pieces are used in the window
= 900/(3 * 5)
= 60
- Another window design is made of square stained glass pieces that are 6 inches by 6 inches, number of stained glass pieces are used in the window
= 900/(6 * 6)
= 25
Answer:
a. 60 pieces
b. 25 pieces
Step-by-step explanation:
Hi, to answer this question we have to calculate the area of each rectangular stained glass.
Area = width x length
a.
5 x 3 = 15 square inches
Now we have to divide the area of the window by the area of each stained glass.
900/ 15 = 60 pieces
Same process for b
b.
6x6 = 36 square inches
900/36= 25 pieces
Feel free to ask for more if needed or if you did not understand something.
A rectangle has length x and width y.
The perimeter of the rectangle is 32.
Part A
Write an equation that represents the relationship between x and y described above.
Answers
Answer:
2x + 2y = 32
Step-by-step explanation:
2 sides of each rectangle are always equal to each other, and there's 2 pairs of that, top&bottom and side&side
The perimeter is all the sides added together, so it's x + x +y +y, which can be written as 2x + 2y
The relationship between the length (x) and width (y) of a rectangle with a perimeter of 32 can be represented by the equation 2*(x+y)=32, derived from the formula for the perimeter of a rectangle.
Explanation:The subject of this question is mathematics, specifically relating to geometry and algebra. To express the relationship between the length, x, and width, y, of a rectangle with a perimeter of 32, you can form an equation based on the formula for the perimeter of a rectangle.
The formula for the perimeter of a rectangle is 2*(length+width). In this case, the length is x and the width is y, and we know that the total perimeter is 32. This can be expressed in the following equation: 2*(x+y) = 32.
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Everfi module 3 budgeting for wants
Answers
Answer:
The budget breakdown is as follows;
Savings = $354.00
Clothing = $88.50
Entertainment = $88.50
Charitable giving = $44.00
Amount left = $0.00
Step-by-step explanation:
In the budgeting process, needs and the recurring expenditures are first addressed followed by savings which consists of emergency funds that can be used on unexpected expenses and reduces the tendency for borrowing.
Therefore, the appropriate amount for savings in a budget is found from the 50-20-30 rule.
That is the after tax income is weighted to 100 from which;
50% is expended on needs and recurring expenditures
20% of the after tax income should be kept as savings and
30% can be spent on wants
Based on the above rule, with a take home pay of $1,770 we have;
Amount meant for savings = 20% of $1,770 = $354.00
Since $354.00 is to be kept as savings we have;
Amount on Clothing + Entertainment + Charitable = $575 - $374 = $221
The amount on clothing should be 5% of the monthly income, which gives;
5% of $1,770 = 0.05× $1,770 = $88.5
Therefore amount on entertainment which should also be 5% =$88.5
Hence the amount for charitable giving = $221 - $88.5 - $88.5 = $44.00
Hence the budget breakdown should be;
Savings = $354.00
Clothing = $88.50
Entertainment = $88.50
Charitable giving = $44.00
Amount left = $0.00.
Budget represents financial plan over a period of time.
The money would be allocated as follows:
[tex]Savings = \$354[/tex][tex]Clothing = \$88.5[/tex][tex]Entertainment = \$88.5[/tex][tex]Charitable\ Giving = \$44[/tex]The total home pay is given as:
[tex]Total = \$1770[/tex]
In budget, 20% are always allocated to savings.
So, we have:
[tex]Savings = 20\% \times Total[/tex]
[tex]Savings = 20\% \times \$1770[/tex]
[tex]Savings = \$354[/tex]
The amount to spend is given as:
[tex]Spend = \$575[/tex]
The amount left, after savings is:
[tex]Amount = Spend - Savings[/tex]
[tex]Amount = \$575 - \$354[/tex]
[tex]Amount = \$221[/tex]
The $221 would be spent on entertainments, clothing and charitable givings.
In budgets, 5% of total home pay is always allocated for entertainments and for clothing.
So, we have:
[tex]Clothing = 5\% \times Total[/tex]
[tex]Clothing = 5\% \times \$1770[/tex]
[tex]Clothing = \$88.5[/tex]
Also
[tex]Entertainment = Clothing = \$88.5[/tex]
The amount on charitable giving is:
[tex]Giving = Amount\ Left - Entertainment - Clothing[/tex]
[tex]Giving = \$221 - \$88.5 - \$88.5[/tex]
[tex]Giving = \$44[/tex]
Hence, the money would be allocated as follows:
[tex]Savings = \$354[/tex]
[tex]Clothing = \$88.5[/tex]
[tex]Entertainment = \$88.5[/tex]
[tex]Charitable\ Giving = \$44[/tex]
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Graph a line that contains the point ( 3 , -6) and has a slope of 1/2
Answers
1/2x - 7.5Step-by-step explanation:The image below shows proof that the equation y = 1/2x - 7.5
Step-by-step explanation:
The equation of the line contains the point ( 3 , -6) graph is shown below.
Since the point (3, -6) lies on the line, we can use the point-slope form of linear equations to find the equation of the line, which is:
[tex]y - y_1 = m(x - x_1)[/tex]
where [tex](x_1, y_1)[/tex] is the point on the line and m is the slope of the line.
Substituting in (3, -6) and m = 1/2, we get:
y - (-6) = 1/2(x - 3)
y + 6 = 1/2x - 3/2
y = 1/2x - 3/2 - 6
y = 1/2x - 9/2
To graph the line, we can start by plotting the point (3, -6). Then, we can use the slope to find another point on the line.
Since the slope is 1/2, it means that for every 1 unit we move up, we must also move 2 units to the right.
Therefore, we can move 2 units to the right and 1 unit up from (3, -6) to find the point (5, -5). We can then plot this point and connect the two points with a line.
Here is a graph of the line that contains the point (3, -6) and has a slope of 1/2:
The graph shows that the line passes through the point (3, -6) and has a positive slope.
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Which exponential functions have been simplified correctly? Check all that apply.
Answers
(xy)^a = (x^a)(y^a)
The latter is when raising the base with a power to a power, the base will remain the same and the powers will be multiplied. In equation it is,
(x^a)(x^b) = x^ab
Check:
f(x) = 5*(16)^.33x = 5*(8*2)^0.33x = 5*(8^0.33x)(2^0.33x) = 5*(2^x)*(2^0.33x) = 5*(2^1.33x)
f(x) = 2.3*(8^0.5x) = 2.3*(4*2)^0.5x = 2.3*(2^x)(2^0.5x) = 2.3*(2^1.5x)
f(x) = 81^0.25x = 3^x
f(x) = 0.75*(9*3)^0.5x = 0.75*(3^x)*(3^0.5x) = 0.75*3^1.5x
f(x) = 24^0.33x = (8*3)^0.33x = (2^x)*(3^0.33x)
Therefore, the answer is third equation.
ANSWER: f(x) = 81^0.25x = 3^x
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The table shows the results of a survey of college students. Find the probability that a student’s first class of the day is a humanities class, given the student is male. Round to the nearest thousandth.
Male Female
Humanities 70 80
Science 50 80
Other 60 70
A. 0.171
B. 0.467
C. 0.269
D. 0.389
Answers
Answer:D. 0.039
Step-by-step explanation:
The probability that a student is taking a humanities class, given the student is male, is 0.389 option (D) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
We have the total number of male students = 70+50+60 = 180
So, the total number of outcomes = 180
Total number of male students who take humanities class = 70
Now, the probability = 70/180 = 0.388 ≈ 0.389
Thus, the probability that a student is taking a humanities class, given the student is male, is 0.389 option (D) is correct.
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Answer all these get 100 points
Answers
Answer:
1. S
2. diameter
3. secant
4. central angle
5. minor arc
6. tangent
7. radius
8. semi circle
9. chord
10. major arc
Step-by-step explanation:
1. S
2. Diameter
3. Secant
4. Central Angle
5. Minor Arc
6. Tangent
7. Radius
8. Semi Circle
9. Chord
10. Major arc
I hope this helps you!!!!!
I tried my best!!!
Which numbers are irrational? Select all that apply.
0 9/15
0 v18
0 v9
0 v169
0 v78
0 3.14
Answers
The correct question is;
Which numbers are irrational? Select all that apply.
A) 9/15
B)√18
C)√9
D) √169
E) √78
F)π = 3.14...
Answer:
The irrational numbers are;
√18 ; √78 and π = 3.14...
Step-by-step explanation:
An irrational number is a number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.
Thus;
A) 9/15 = 0.6 It's decimal stops after 6 and thus it is not irrational
B) √18 = 4.242640687119285.... The decimal doesn't repeat and the continuous dots means it's decimal doesn't stop. Thus it is an irrational number
C) √9 = 3. Doesn't have a repeating or continuous decimal and thus it's not irrational
D) √169 = 13. Doesn't have a repeating or continuous decimal and thus it's not irrational
E) √78 = 8.831760866327846......
The decimal doesn't repeat and the continuous dots means it's decimal doesn't stop. Thus it is an irrational number
F) π = 3.14.... The continuous dots means it's decimal doesn't stop. The decimal doesn't repeat and so, it's an irrational function
Answer:
v18
v78
3.14
Step-by-step explanation:
Which numbers are irrational? Select all that apply.
StartFraction 9 Over 15 EndFraction
StartRoot 18 EndRoot
StartRoot 9 EndRoot
StartRoot 169 EndRoot
StartRoot 78 EndRoot
Pi
please solve for x!
correct answers, please!
Answers
(x + 10) + (x + 10) = 90
90 - (10 + 10) = 70
70/2 = 35
x = 35
Have a great day!
Answer:
x = 35
Step-by-step explanation:
Since we know that this is a right angle, we know that the total has to equal 90 degrees. From there, we can make an equation:
(x+10) + ( x+10) = 90
2x +20 = 90
2x = 70
x = 35
Hope this helped and pls mark as brainliest!
~Luna
Graph the data set . Which kind of model best describes the data?
Quadratic
Linear
Cubic
Exponential
Answers
Answer:
exponencialy = e0.6931xStep-by-step explanation:
Please look at the attachment to help me solve this problem!! It would be very much appreciated!!!
Answers
Answer:
C
Step-by-step explanation:
Angles on a straight line is 180
Answer:
pretty sure it's the third option.
Step-by-step explanation:
I've done this before.e
A pyramid with a square base with dimensions 12 by 7 is shown. A cone is cut out of the center of the pyramid. The cone has a height of 10 and a diameter of 6. Which expressions represent the volume of the composite figure (the shaded figure)? Check all that apply. (7)(12)(10) – π(32)(10) One-third(7)(12)(10) – One-thirdπ(32)(10) One-third(7)(12)(10) + One-thirdπ(32)(10) 280 – 30π 280 + 30π 840 – 90π
Answers
Answer:
the 2nd one and 4th one
Step-by-step explanation:
i just did it
The expressions for the volume of the composite pyramid figure is given by A = One-third(7)(12)(10) - One-thirdπ(32)(10) = 280 - 30π
What is the volume of a pyramid?The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.
Volume of Pyramid = ( 1/3 )a²H
Given data ,
A pyramid with a square base with dimensions 12 by 7 is shown. A cone is cut out of the center of the pyramid.
The cone has a height of 10 and a diameter of 6.
The correct expression to represent the volume of the composite figure (the shaded figure) is:
One-third(7)(12)(10) - One-thirdπ(3)²(10) = 280 - 30π
So the expressions that apply are:
One-third(7)(12)(10) - One-thirdπ(32)(10) = 280 - 30π
Hence , the volume of pyramid is 280 - 30π
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HELP ASAPP !!!
A. x=60;y=140
B. x=60;y=70
C. x=105;y=95
D. x=105;y=47.5
Answers
Answer:
B
Step-by-step explanation:
Y look like it's close to 90 degrees.
PLEASE HELP I AM BEING TIMED. I AM VERY CONFUSED
Answers
Answer:
True
Step-by-step explanation:
Answer:
I’m Pretty sure its true but if not sorry.
Step-by-step explanation:
The volume of a sphere is 288 in3. What is the radius?
Answers
Answer:
[tex]4cm[/tex]
Step-by-step explanation:
[tex]v = \frac{4}{3} \pi \: r \\ \\ solving \: \: \: for \: \: \: radius \\ \\ r = (3 \frac{v}{4\pi} ) ^{ \frac{1}{3} } \\ \: \: \: \: = (3 \times \frac{288}{4 \times \pi} )^{ \frac{1}{3} } \\ \: \: \: \: ≈
4.0967[/tex]
What is the factored form of this expression?
x2 + 17x + 60
Answers
Answer:
( x + 5 ) ( x + 12 )
Step-by-step explanation:
hope it helps
I just took it
2(-6n+5)=4n+2(1-6n)
I need the answer
Answers
Answer:
n = 2
Step-by-step explanation:
2 (-6n + 5) = 4n + 2(1 - 6n)-12n + 10 = 4n + 2 - 12n4n = 8n = 2
Saved
Becker and Kayla are members of the school chess team. They record the number of games they each play for 10 days. The data are shown.
Becker: 5,2,4,1,1,4,5,3,2,1
Kayla: 2,3,1,1,4,1,5,3,5,5
Based on the data, which estimate represents the mean number of games chess team members play per day?
Question 1 options:
1
3
4
10
Answers
Hope it helped:)
select the one answer. 2x+3x3
Answers
Answer:
2 times x plus 3 times x cubed.
Step-by-step explanation:
2x = 2 * x = two times (multiplied) by x.
+ = plus.
3x^3 = 3 * x^3 = three times (multiplied) by x cubed.
~
Luna packed two chocolate bars for the trip.One s’more uses 1/12 of a bar. How should we complete model
Answers
The days will the chocolate last is A) More than 12 days . Therefore A) More than 12 days is correct .
One chocolate bar lasts for 12 days because 1 / (1/12) = 12
Two chocolate bars last for 24 days because 12 * 2 = 24
So, even if Luna has one s'more a day, the chocolate will last for more than 12 days.
The other options are not as likely:
Option (B) is less likely because two chocolate bars would still last for more than a day, even if she had one s'more a day.
Option (C) is possible, but it's less likely than option (A) because two chocolate bars would provide more than 12 s'mores worth of chocolate.
Therefore, the answer is A) More than 12 days.
Question
Luna packed two chocolate bars for the trip. One s'more uses 1/12 of a bar. If she has one s'more a day, about how many days will the chocolate last?
A) More than 12 days
B) Less than 1 day
C) Between 1 and 12 days
In the figure below, find the exact value of y. (Do not approximate your answer.)
Answers
Answer:
I need the answer
Step-by-step explanation:
The town Diego lives in has a population of about 16,000. Describe all the numbers that, when rounded to the nearest hundred, round to the 16,000. Numbers greater than or equal to_________and less than________
Answers
Answer:
Numbers greater than or equal to 15950 and less than 16050.
Step-by-step explanation:
Given:
The town Diego lives in has a population of about 16,000
To fill: the blanks
Solution:
Numbers 15950, 15951, 15952, 15953,...., 16000, 16001, 16002,..., 16049 are rounded off to 16,000 when rounded to the nearest hundred.
In other language, numbers greater than or equal to 15950 and less than 16050
Numbers greater than or equal to 15950 and numbers less than or equal to 16049 will round round to 16000 when rounded to the nearest hundred.
To round to the nearest hundred :
When the value of the tens digit is greater than or equal to 5, it is rounded up to 1 and added to the hundred digit If the tens digit is less than 5, it is rounded to 0.15950, tens digit is 5, when rounded to 1 and added to the hundred digit, we have 16,00016049 ; tens digit is 4, it is rounded to 0 a d we have 16000Therefore, Values below 15950 and beyond 16049 will not round to 16000(to the nearest hundred).
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