For # 7-10, find the number of possible 4-card hands that contain the cards specified
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Answers:
Problem 7) 105,625Problem 8) 8800Problem 9) 715Problem 10) 2860Note: The answer to problem 7 is a single value. The comma is there to make the number more readable.
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Explanation for problem 7)
There are 26 red cards (13 diamonds + 13 hearts).
We have 26 ways to pick the first red card, and then 25 ways to pick the second red card. If order mattered, then we'd have 26*25 = 650 ways to do this. However, order doesn't matter. All that matters is the hand itself rather than the individual cards. By "hand" I mean the collection of cards, and not the literal physical hand holding them.
Since the count 650 is a double count, this means 650/2 = 325 is the correct count where order doesn't matter. The black cards will follow identical logic to get the same value. There are 325 ways to pick the two black cards. This is because there are an equal number of red and black cards, and we're selecting an equal number of both colors.
So we have 325*325 = 105,625 different hands possible.
To help show some context, there are 52C4 = 270,725 different ways to pick four cards without any restrictions. I'm using the nCr combination formula.
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Explanation for problem 8)
The face cards are Jack, Queen, King. There are 3 face cards per suit and 4 suits total, so 3*4 = 12 face cards in all.
We have 12*11*10 = 1320 permutations and 1320/(3!) = 1320/6 = 220 combinations. We side with combinations because like before, order doesn't matter. There are 220 different ways to pick the three face cards. Then we have 52-12 = 40 ways to pick the fourth non-face card.
Overall, we have 220*40 = 8800 different ways to pick exactly three face cards.
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Explanation for problem 9)
There are 13 diamond cards, so n = 13. We're filling r = 4 slots.
Use the nCr combination formula to find that 13C4 = 715
See the attached image below for more detailed steps.
We have 715 ways to pick all diamonds.
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Explanation for problem 10)
We'll build from problem 9. We found there are 715 ways to pick four diamonds. This is the same number of ways to pick four hearts, or four clubs, or four spades. The actual suit doesn't matter. So we have 4*715 = 2860 different ways to pick 4 cards of the same suit
In poker, having all cards of the same suit is known as a flush. Though with poker, it involves 5 cards instead of 4.
Related Questions
Divide 30 by half and add 12. What do you get?
Answers
Answer:
27
Step-by-step explanation:
30/2=15 +12=27
Answer:
72
Step-by-step explanation:
30/(1/2) = 60
60+12 =72
Morena is painting her bedroom and has a triangle of space left over as shown below. What is the area of the space Morena still needs to paint?
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Answer:
its c
Step-by-step explanation:
if the marked price of a gift item is Rs .300 and sold it for Rs.210. find the discount percent .
Answers
Answer:
original price - new price
300- 210=90
discount/ original price ×%
90/300×100
=30%
The discount percent is 30%
If [×] =5 what is the value of x?
Answers
Answer:
x = 5
Step-by-step explanation:
I didn't quite understand what you were asking but x should equal 5
Answer: 1 is the answer because nothing time _ will equal 5 but 1 times anything equal that number So its 1
FIND THE VALUE OF UNKNOWN
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Answer:
you have to suppose a imaginary parallel line at E cutting the angle b and find both angles by alternate and add them.
Find the quotient of z1 by z2. .Express your answer in trigonometric form.
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Answer:
[tex]\frac{z_1}{z_2} = 3(cos(240^o) + isin(240^o))[/tex]
Step-by-step explanation:
Given
[tex]z1 = 12(cos(320^o) + isin(320^o))[/tex]
[tex]z2 = 4(cos(80^o) + isin(80^o))[/tex]
Required
[tex]Quotient = \frac{z_1}{z_2}[/tex]
We have:
[tex]Quotient = \frac{12(cos(320^o) + isin(320^o))}{4(cos(80^o) + isin(80^o))}[/tex]
Divide 12 by 4
[tex]Quotient = \frac{3(cos(320^o) + isin(320^o))}{(cos(80^o) + isin(80^o))}[/tex]
Solve using the following rule:
[tex]\frac{(cos(a) + isin(a))}{(cos(b) + isin(b))} = \cos(a - b) + isin(a - b)[/tex]
So, we have:
[tex]Quotient = \frac{3(cos(320^o) + isin(320^o))}{(cos(80^o) + isin(80^o))}[/tex]
[tex]Quotient = 3(cos(320^o-80^o) + isin(320^o-80^o))[/tex]
[tex]Quotient = 3(cos(240^o) + isin(240^o))[/tex]
Hence:
[tex]\frac{z_1}{z_2} = 3(cos(240^o) + isin(240^o))[/tex]
The OLS residuals in the multiple regression model: A) cannot be calculated because there is more than one explanatory variable. B) can be calculated by subtracting the fitted values from the actual values. C) are zero because the predicted values are another name for forecasted values. D) are typically the same as the population regression function errors.
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Answer:
B) can be calculated by subtracting the fitted values from the actual values.
Step-by-step explanation:
'Multiple Regression Model' is characterized as the further augmentation of the 'linear regression model.' which is employed to predict a dependent variable's value on the basis of other provided variables(independent). It also helps in showing the linear association among these variables.
In this model, the OLS residuals can be determined by deducting the adapted values from the real values. Thus, there would be a subtraction of the calculated value from the predicted value to find the value of residual. The 'distinction between the actual and fitted values itself is characterized as the residual.' Therefore, option B is the correct answer.
The transformation of y=f(x) to y=f(2x) is a:
Answers
Answer:
c) vertical stretch by a factor of 2
Step-by-step explanation:
Answer:
b.
Step-by-step explanation:
Horizontal stretch by a factor of 1/2.
We can also describe this as a horizontal compression by a factor 2
Lorenzo wants to know how much it will cost to rent tables and chairs for an event. He investigates renting tables and chairs and decides to use two different companies. Company A $4 per table (seats 4) and a $25 one-time delivery and pickup fee Company B $2 per chair and a $15 one-time delivery and pickup fee Each table seats 4 people, so Lorenzo needs to rent 4 chairs for every table. x = number of tables Cost to rent tables from Company A: f(x) = 4x + 25 Cost to rent chairs from Company B: g(x) = 2(4x) + 15 Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with them? 12x 12x2 + 40 12x + 40 8x + 40
Answers
Answer:
C: 12x + 40
Step-by-step explanation:
We are told that the Cost to rent tables from Company A is;
f(x) = 4x + 25
Also, we are told that the Cost to rent tables from Company B is;
g(x) = 2(4x) + 15
Thus, total cost for Lorenzo to rent x number of tables and the chairs he needs is;
Total = f(x) + g(x)
Total = 4x + 25 + 2(4x) + 15
Total = 4x + 25 + 8x + 15
Total = 12x + 40
Answer:
the answer is c
Step-by-step explanation:
1. AC=EC
2.BC=DC
3.AB=DE
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Answer:
1. AC = EC
Step-by-step explanation:
As it says that the figure has to be proved by SAS postulate. We know that, SAS stands for Side - Angle - Side, so we need to prove that any two sides and one angle of two triangles are equal/proportional or not.
Given, BC = CD, and angle ACB = angle DCE.
Therefore, the answer is 1. AC = EC.
Which of the following plots has exactly 2 clusters and
1 outlier
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what does 7 x 1/3 equal to ?
Answers
Just multiply across
What is the distance between points L(−5, 7) and M(3, −8)?
Answers
Answer:
17
Step-by-step explanation:
√(3-(-5))²+(-8-7)²
√(3+5)²+(-15)²
√8²+225
√64+225
√289
=17
The distance between two points L(-5, 7) and M(3, -8) is 17 units.
What is distance ?Distance is a numerical measurement of how far apart objects or points are. In Physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
Here Distance formula = [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]
Distance = [tex]\sqrt{(3-(-5))^{2} + (-8-7)^{2} }[/tex]
D = [tex]\sqrt{8^2+15^2}[/tex]
D =[tex]\sqrt{64 + 225}[/tex]
D = [tex]\sqrt{289}[/tex]
D = 17 units
Thus, the distance between two points L(-5, 7) and M(3, -8) is 17 units.
Learn more about Distance from:
https://brainly.com/question/15172156
#SPJ2
PLEASE HELP I WILL GIVE BRAINLIEST
Answers
Answer:
A
Step-by-step explanation:
Part a: Complimentary
Part b: B 71 degrees.
Step by step explanation: The figure above is a right angle split into two parts, making it a complimentary angle. Since you have the measure of AB which is 19 degrees, you now subtract that from 90 because it is a right angle. 90-19= 71, making B the correct answer.
How much material would it take to cover the sandbox?
Answers
Answer:
D.6,600 ft
Step-by-step explanation:
I hope it helps
The zeros of a parabola are 6 and -5. If (-1, 3) is a point on the graph, which equation can be solved to find the
value of a in the equation of the parabola?
O3 = a(-1 + 6)-1-5)
O 3 = a(-1-6)(-1 +5)
O -1 = a(3+6)(3-5)
O-1 = a(3-6)(3+5)
Answers
Answer:
3 = a(-1-6)(-1+5).
Step-by-step explanation:
y = a(x - 6)(x + 5)
When x = -1, y = 3 so we have:
3 = a(-1-6)(-1+5).
Need help with it I don’t know how to do it
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Gentile, Lynch, Linder, and Walsh (2004) surveyed over 600 8 th- and 9th-grade students asking about their gaming habits and other behaviors. Their results showed that adolescents who experienced more video game violence were also more hostile and had more frequent arguments with teachers. Is this an experimental or a nonexperimental study? Explain your answer.
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Answer: nonexperimental study
Instead, this is a survey
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Explanation:
We have a survey being conducted because the researchers are asking the students the questions. It's not an experiment because the students aren't being broken up into two groups (control group vs treatment group) to see the difference between the two if any.
Translate the following algebraic inequality into a verbal inequality.
2x +6 > 20
Answers
the nth term of a sequence is 4n-3. finf the number in the sequence that is closest to 150
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Answer:
149
Step-by-step explanation:
nth term = 4n - 3 ..............(1)
Now,
For The tern closer to 150
150 = 4n - 3
or, 153 = 4n
or, n = 38.25
Now,
Since n can not be in decimal,
Put n = 38 in (1) (Rounding off 38.25 to 38)
or, nth term = 38*4 -3
= 152 - 3 = 149
∴ The number of sequence closer to 150 is 149
If 6 is added to x, the result is 17. Find the value of x.
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Answer:
Step-by-step explanation:
To find x, we need to do opposite operations.
x+6=17
Subtract 6 from both sides, since subtraction is the opposite of addition, thus cancelling the 6 out.
x+6=17
-6 -6
x=11
So x is 11.
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hope it helps
Answer:
Step-by-step explanation:
6+x=17
x=17-6
x=11
What is the name of a polygon that has three sides and three equal angles
Answers
Answer:
equilateral triangle
Step-by-step explanation:
equilateral triangle
A triangle: An equilateral triangle is a regular polygon with three equal side lengths and three equal angles.
change 1/4 to percent.
a.20%
b.25%
c.75%
d.100%
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Given: g(x)=3/x-2
h(x)=9x
PLS I NEED ANSWER TO PASS CLASS
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So that means subbing h(x) into g(x) wherever there’s an “x”
So
= 3/ [h(x)-2]
= 3/(9x-2)
Then we sub in the 7
=3/ [9(7)-2]
=3/61
HELP ASAP I WILL MARK BRAINLIEST!!!
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Answer:
the answer would be 9 + i
Step-by-step explanation:
(−x+5)(x+2)=y determine the x intercept
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Answer:
x-intercepts = (-5,0) & (-2,0)
Step-by-step explanation:
5 & 2 = x-intercepts but you have to put them as negative
Blake recorded the number of minutes he ran on the treadmill each day for 2 weeks. His data is in
the table below.
Week 1 Week 2
25 minutes 30 minutes
38 minutes 43 minutes
40 minutes 17 minutes
32 minutes 20 minutes
15 minutes 27 minutes
22 minutes 13 minutes
35 minutes 35 minutes
What is the difference in the median between the two weeks that he ran in his treadmill?
3.14 minutes
3 minutes
2 minutes
5 minutes
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Answer:
5 minutes
Step-by-step explanation:
15 men can build a wall in 20 days. How long will 25 men take to build the
same wall?
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Answer:
Step-by-step explanation:
no of men no of days
15 20
25 let be x
it is in indirect proportion
15/25=x/20
do cross multiplication
25*x=20*15
25x=300
x=300/25
x=12
therefore ot will take 12 day to complete the same wall by 25 men.
N (4,-2)
Given the point A(-2, 3) and B(4,8), determine the coordinates of point P on directed line segment AB that
partitions AB in the ratio 1/5.
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What is the solution to this system of equations?
3x+2y=−10
y=−x−4
Possible Answers
-2, -2 -2, 2 -18, 14 no solution