For # 7-10, find the number of possible 4-card hands that contain the cards specified
Answers
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
5th grade math. correct answer will be marked brainliest
Answers
210 - 30 = 180
180 ÷ 15 = 12
12 weeks
It would take her 12 weeks to pay for the DVD player.
Pls help 10 pts
X =
1
3
7
Answers
Answer:
3
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
Secant-Secant Formula:(whole secant) x (external part) =
(whole secant) x (external part)
4 *(9) = x *(12)
36 =12x
Divide each side by 12
36/12 = 12x/12
3 =x
The living room in a new house has the dimensions shown. What is the volume of the room?
Answers
A 4-story parking garage
has spaces for 240 + 285 + 250 + 267
cars. While one floor is closed for
repairs, the garage has spaces for
240 +250 + 267 cars. How many spaces
are there on the floor that is closed?
Explain.
Answers
add 240+250+267 = 757 divide by 4 = 190 or
240/4 = 60
250/4= 62.5 round 63
267/4= 66.75 round 67
add up = 190
I think 190 would be the answer
ILL GIVE BRAINLIEST
Answers
Answer:
[tex] \sin(x _{1} ) = \frac{1}{2} \\ \sin(x _{1} ) = \sin(30 ) \\ x_{1} = 30 \\ \cos(x _{1}) = \cos(30 ) \\ \cos(x _{1}) = \frac{ \sqrt{3} }{2} [/tex]
Help me PLEASEEEEEEEEEEEEE
Answers
Answer:
the first two are true and the last two are false
Find the value of x . Round your answer to the nearest tenth.
Answers
the answer is 26
brainliest?
Answer:
The answer is 100 :D
Step-by-step explanation:
1: You would start by finding the sum of the two angles given (72 and 8) which is 80
2: You would then subtract the sum from 180
3: 180-80 = 100
Hope this helps :D
What is sin 49° to the nearest tenth
Answers
Answer:
50
Step-by-step explanation:
50???
Answer:
sin49° = 0.75471
sin 49° = 0.75471
sin 49 degrees = 0.75471
Step-by-step explanation:
X - 13 < -11 Does anyone know this
Answers
Answer:
x < 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
x - 13 < -11
Step 2: Solve for x
[Addition Property of Equality] Add 13 to both sides: x < 2Here we see that any value x smaller than 2 would work as a solution.
Which ones to select?
Answers
Answer:
<5, <1
Step-by-step explanation:
.............
........
father is 20 years older than son. if the sum of their ages is 40 years find their age
Answers
Answer:
20 is the father's 20 is the son
Step-by-step explanation:
20+20=40
40/2=20
40-20=20
another way:
20:n= 40
40-20=20
20:20=40
Answer:
Step-by-step explanation:
let the age of son be x
x+x+20=40
2x=40-20
x=20/2
x=10
since age of a father is 20 more than his son's so,
x+20=father's age
10+20
30
therefore fathers age is thirty years and son age is 10 years
Could someone please help me because I am rubbish at maths?
15% of £40
Answers
the answer of this equation is 6
Answer:
£6.00
Step-by-step explanation:
15/100×40
=£6.00
Question 3 of 25
If f(x) = 3x + 2, what is f(5)?
O A. 10
O B. 17
O c. 1
O D. 13
Answers
Answer:
I believe it's 17 :)
Step-by-step explanation:
5×3= 15 +2 = 17
Relationships in Figures
If one measurement of a golden rectangle is 6.1 inches, what is the other measurement?
a. 4.482
b. 7.718
c. 9.87
d. 1.618
Please select the best answer from the choices provided
Answers
Answer:
C. 9.87
Step-by-step explanation:
I calculated it logically
if Lisa is 12 years old now how old was she at the age at 1/4 of her current age
Answers
Answer:
3
Step-by-step explanation:
12/4=3
the lenght of a room is twice its breadth and thrice its height if the cost of carpeting the floor at rs 80 per sq metre is rs 9000 find the cost of plastering its walls and ceiling at rs 35 per sq metre
Answers
Answer:
Let's define the variables:
L = length of the room
B = breadth of the room
H = height of the room.
We know that:
L = 2*B
L = 3*H
Remember that the area of a rectangle of length L and breadth B is:
A = L*B
Then the area of the floor of the room is:
A = L*B
and L = 2*B, if we replace that, we get:
A = (2*B)*B
A = 2*B^2
Now, we know that the cost of carpeting the floor is $80 per m^2
And the total cost was $9000
Then the number of square meters in the floor (thus, the area of the floor) is:
A = ($9000)/($80) m^2
A = 112.5 m^2
With this, we can find the value of B.
A = 112.5 m^2 = 2*B^2
B = √( 112.5/2) m = 7.5 m
Then the length is:
L = 2*B = 2*7.5m = 15m
And the height is:
L = 3*H
H = L/3 = 15m/3 = 5m
Now that we know all the dimensions of the room, we need to find the area of the four walls, and the area of the ceiling (which is equal to the area of the floor 112.5 m^2)
Now, we will have two walls with an area of:
area = breadth*height = B*H = (7.5m)*(5m) = 37.5m^2
And two walls with an area of:
area = length*height = L*H = 75m^2
Then the total area of the four walls plus the ceiling is:
A' = 2*(37.5m^2) + 2*( 75m^2) + 112.5 m^2
A' = 337.5 m^2
And we know that for each m^2, the cost of plastering is $35
Then for 337.5 m^2, the cost will be 337.5 times $35
Cost = (337.5)*$35 = $11,812.50
find 7% of 5000 students
Answers
Find 7% of 5000 students ?
Answer :
[tex]5000 \times \frac{7}{100} = 350[/tex]
So, 7% of 5000 students is 350 students.
SALE
70% OFF!
The original price of a chandelier is $440. How much will Victoria pay if she buys it during the
sale?
Answers
Answer:
$132
Step-by-step explanation:
$440-440×0.70
=$132
Karen and Caroline saved up a total of $61. They decided to spend $25 on candy and $17 on ice cream. How much money did Karen and Caroline have left?
Answers
Answer:
$19
Step-by-step explanation:
$61-$25=$36-$17=$19
Suppose the line with slope 1 crosses the x -axis at x=2.
(a) Find the equation of the line in slope-intercept form and enter the answer in the space:
(b) What is the y -intercept of the graph of the line? Enter your answer in the space:
Answers
Answer:
a. y=x-2 b. -2
Step-by-step explanation:
a.) if the slope is 1, the x-int is always the negative of the y-int so y=x-2
b.) in y=mb+b (slope intercept form) b is the y-int so -2
Brainliest Plz??
I NEED HELP PLEASEE HELP ME
Answers
Answer:
TRUE
FALSE
FALSE
TRUE
Step-by-step explanation:
yan na po god bless
Can someone explain why the ans is X=6? Its (x-6)
Answers
Answer:
because either x-6=0 or x+1=0
x-6=0
x=0+6
x=6 OR,
x+1=0
x=0-1
x=-1
Step-by-step explanation:
What is the median of this set of data?
32,36,38,39,42
Answers
Answer:
38
Step-by-step explanation:
To find the median, make sure the number are in increasing order (they are), then start crossing out the outside numbers until you meet in the middle:
32 36 38 39 42
/ 36 38 39 /
/ / 38 / /
The only number left is 38, so the median is 38.
If there were two numbers remaining, you would take the average of the two.
(Add both numbers and divide by 2)
-x if x si
Find f(7) for f(x) = 3 x + 5 if 15x<2
x? if x 22
Answers
Answer:
[tex]f(7) = 49[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \left[\begin{array}{cc}3x+5&1.5 <x < 2\\x^2&x>2\end{array}[/tex]
Required
Determine f(7)
To do this, we make use of
[tex]f(x) = x^2[/tex]
Because [tex]7 > 2[/tex]
So, we have:
[tex]f(x) = x^2[/tex]
This becomes:
[tex]f(7) = 7^2\\[/tex]
[tex]f(7) = 49[/tex]
Plz help me well mark brainliest if correct
Answers
Answer:
I think it is b) 70
Step-by-step explanation:
Arrange the numbers in ascending order then find the middle number.
Answer:
70
Step-by-step explanation:
Write down all the data points: 20, 40, 50, 70, 80, 90, 110 and identify which is in the very middle.
There are 20 crayons in a tin 4 crayons are red
Answers
Plzzz help as soon as possible
Answers
Answer:
Step-by-step explanation:
8 is not a function
9 is a function
10 is a function
The graph shows two lines, A and B.
A coordinate plane is shown. Two lines are graphed. Line A has equation y equals negative 3 x plus 15. Line B has equation one half x plus 2.
Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?
1. (4, 4) is the solution to line A but not to line B.
2. (4, 4) is the solution to both lines A and B.
3. (5, 1) is the solution to line B but not to line A.
4. (0, 2) is the solution to both lines A and B.
Answers
Answer:
statement 1 is the only correct one
Step-by-step explanation:
2 cups = 1 pint 2 pints = 1 quart 4 quarts = 1 gallon
How many quarts are equal to 8 cups?
Answers
Answer:
Your answer is 2.
Lengths of full-term babies in the US are Normally distributed with a mean length of 20.5 inches and a standard deviation of 0.90 inches. (Each question is worth 3 points) What percentage of full-term babies are between 19 and 21 inches long at birth
Answers
Answer:
66.48% of full-term babies are between 19 and 21 inches long at birth
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean length of 20.5 inches and a standard deviation of 0.90 inches.
This means that [tex]\mu = 20.5, \sigma = 0.9[/tex]
What percentage of full-term babies are between 19 and 21 inches long at birth?
The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then
X = 21
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{21 - 20.5}{0.9}[/tex]
[tex]Z = 0.56[/tex]
[tex]Z = 0.56[/tex] has a p-value of 0.7123
X = 19
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{19 - 20.5}{0.9}[/tex]
[tex]Z = -1.67[/tex]
[tex]Z = -1.67[/tex] has a p-value of 0.0475
0.7123 - 0.0475 = 0.6648
0.6648*100% = 66.48%
66.48% of full-term babies are between 19 and 21 inches long at birth