Answer:
12.036549522
Step-by-step explanation:
A deck of 52 cards contains 12 picture cards. If the 52 cards are distributed in a random manner among four players in such a way that each player receives 13 cards, what is the probability that each player will receive three picture cards
Answer:
The probability that each player will receive three picture cards = 0.0324
Step-by-step explanation:
As given,
A deck of 52 cards contains 12 picture cards
Remaining card = 52 - 12 = 40
So,
Total number of ways in which 12 picture card is distributed = [tex]\frac{12!}{3! 3! 3! 3!}[/tex]
Now,
The Total number of ways in which Remaining cards are distributed = [tex]\frac{40!}{10! 10! 10! 10!}[/tex]
So,
Total number of ways of getting 3 picture card and remaining card = [tex]\frac{12!}{3! 3! 3! 3!}[/tex]× [tex]\frac{40!}{10! 10! 10! 10!}[/tex]
= [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]
Now,
Total number of ways to distribute 52 cards so that each people get 13 card = [tex]\frac{52!}{13! 13! 13! 13!} = \frac{52!}{ (13!)^{4} }[/tex]
∴ The probability = [tex]\frac{\frac{12! 40!}{(3!)^{4} (10!)^{4} }}{\frac{52!}{(13!)^{4} }}[/tex]
= [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]×[tex]\frac{(13!)^{4} }{ 52! }[/tex]
= [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]×[tex]\frac{(13.12.11.10!)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41.40! }[/tex]
= [tex]\frac{12!}{(3!)^{4} }[/tex]×[tex]\frac{(13.12.11)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}[/tex]
= [tex]\frac{479,001,600}{(6)^{4} }[/tex]×[tex]\frac{(1716)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}[/tex]
= 0.0324
∴ we get
The probability that each player will receive three picture cards = 0.0324
what is the value of x in 2x = 64
Answer:
2×=64
2×/2=64/2
×=32.....x is solved
Answer:
x=32
Step-by-step explanation:
when divided by 2, 64 is equal to 32
The side lengths of a 30-60-90 triangle are in the ratio 1:13: 2. What is
tan 60°?
A
=============================================================
Work Shown:
Refer to the diagram below. The short leg (opposite the 30 degree angle) is equal to 1 unit, the long leg is equal to sqrt(3) units, and the hypotenuse is 2 units long.
For the reference angle 60 degrees, the opposite leg is sqrt(3) units and the adjacent leg is 1 unit
tan(angle) = opposite/adjacent
tan(60) = sqrt(3)/1
tan(60) = sqrt(3)
Answer: tan 60° = √3
Step-by-step explanation: a p e x (screenshot proof)
A blogger had 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since then. Write a sequence to represent the number of subscribers in the 3 months that followed.
Answer:
[tex]600, 900, 1350[/tex]
Step-by-step explanation:
Given
[tex]a = 400[/tex] -- initial subscribers
[tex]b = 1.5[/tex] -- growth factor
Required
Determine the number of subscribers in the next three months
To do this, we make use of:
[tex]y = ab^x[/tex]
In this case:
x is the number of months
y is the number of subscribers
So:
when x = 1;
[tex]y = ab^x[/tex]
[tex]y = 400 * 1.5^1[/tex]
[tex]y = 400 * 1.5[/tex]
[tex]y = 600[/tex]
when x = 2
[tex]y = 400 * 1.5^2[/tex]
[tex]y = 400 * 2.25[/tex]
[tex]y = 900[/tex]
when x= 3
[tex]y = 400 * 1.5^3[/tex]
[tex]y = 400 * 3.375[/tex]
[tex]y = 1350[/tex]
So, the next three number of subscribers is:
[tex]600, 900, 1350[/tex]
Plz help me! I’m not sure how to do these!
Step-by-step explanation:
2. x =101
3. x= 120
4. x= 30
I am very confused in question no 1 and 5 th .
hope this will be helpful to you.
plz mark my answer as brainlist if you find it useful .
random khan question and I haven't done this in a year, I'm struggling.
Answer:
Add maybe
Step-by-step explanation:
add the 500+400+200 try that hope it helps have a great day
How can 38 over 6 be expressed as a decimal?
A. 5.1 with bar over 1
B. 6.1 with bar over 1
C. 6.3 with bar over 3
Answer:
B
Step-by-step explanation:
C its C hopes this helps
Which statement is always true
Answer:
No picture so I can’t answer the question
Step-by-step explanation:
The ratio of the number of girls to the number of boys was 4 to 5 if 1,530 students were present how many were girls and how many were boys?
Answer:
680 girls and 850 boys
Step-by-step explanation:
the ratio of girls is 4/9
then we can find the number of girls (G) in the group of 1530 students using proportions:
4 / 9 = G / 1530
solving for G by multiplying both sides of the proportion by 1530, we get:
G = 4 * 1530 / 9 = 680
So there were:
680 girls and 1530 - 680 = 850 boys
Answer:
the answer will be
girls 680
boys 850
Y= 2/3x + 2. Y= 3/5x + 3. Graph equations
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
63 + 3y = 12
(5.-6):
4x + y = 14
Yes
No
Maybe
Next
Page 1 of 3
Forms
Tell whether the ordered pair is a solution to the system of linear equations
Yes
No
Maybe
Answer:
(5,-6) is a solution
Step-by-step explanation:
Given
[tex]6x + 3y = 12[/tex]
[tex]4x + y = 14[/tex]
Required
Tell whether (5,-6) is a solution
In (5,-6): x = 5 and y = -6.
Substitute these values in the given equations
[tex]6x + 3y = 12[/tex] becomes
[tex]6 * 5 + 3 * -6 = 12[/tex]
[tex]30-18 = 12[/tex]
[tex]12 = 12[/tex]
[tex]4x + y = 14[/tex] becomes
[tex]4 * 5 - 6 = 14[/tex]
[tex]20 - 6 = 14[/tex]
[tex]14 = 14[/tex]
Because both solutions are true, then (5,-6) is a solution
Set up a proportion and use it to solve for x.
14
х
6
9
Answer:
x=21
Step-by-step explanation:
x/x+14=9/15
15x=9x+126
6x=126
x=21
Need help on this please
5/8 + 1/8 simplify
1. 6/8
2. 6/16
3 . 3/4
4. 3/8
Answer:
5/8+1/8=1/8×{5+1)=6/8=3/4
5/8-1/8=1/8×{5-1)=4/8=1/2
Help ASAP I’ll mark brainliest
Answer: C. 254
Step-by-step explanation: All engineers is the population so this is stats and the number that chose math no matter what kind of engineer is 254
Jessica is making 2 loaves of bread she needs 3/4 cup of sugar for each loaf her measuring cup only holds 1/4 cup how many times will the cup need to be filled
Answer:
The cup will be filled 6 times.
Step-by-step explanation:
If her measuring cup only holds 1/4 cups then we need to find how many 1/4 cups are in 3/4 cups:
(1/4) + (1/4) + (1/4) = 3/4
3/4 = 3/4
The measuring cup will have to be filled 3 times for 1 loaf.
If she has 2 loaves that means that she has to fill her 1/4 measuring cup 6 times (because 2 * 3 = 6)
Hope this helps!!
- Kay :)
HERE IS ANOTHER PROBLEM
ameliaswan
Answer:
-1.6 < √2 - 3 < -1.5
Step-by-step explanation:
√2 - 3 = -1.58
-1.5 is closer to 0 so it is larger than -1.5 and -1.6 is father from 0 than -1.58 and -1.5 so its less than
The price of an item has risen to $216 today. Yesterday it was $135. Find the percentage Increase.
Mark practice the piano for 2/3 for an hour for 6 hours every week. How many hours does he practice each week
Answer:
9
Step-by-step explanation:
6 divided by 2/3 = 6 x 3/2 = 18/2 = 9
hope this helped!
Answer:
2/2
Step-by-step explanation:
Ally and Beck went fishing and caught a total of 75 fish. At home,
Ally told Jair she caught twice as many fish as she actually caught.
Beck told Jair he caught three times as many fish as he actually
caught. If what they told Jair had been true, then Ally would have
caught 75 fewer fish than Beck. How many fish did Beck actually
catch?
Answer:
Beck actually caught 45 fish
Step-by-step explanation:
System of Equations
We call the following variables:
x = number of fish Ally caught
y = number of fish Beck caught
They caught a total of 75 fish, thus:
x + y = 75 [1]
If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:
3y = 2x + 75 [2]
From [1]:
x = 75 - y [3]
Substituting in [2]:
3y = 2(75 - y) + 75
Operating:
3y = 150 - 2y + 75
Simplifying:
5y = 225
Dividing by 5:
y = 45
Beck actually caught 45 fish
Answer:
Beck caught 45 fish
Step-by-step explanation:
a = number of fish Ally caught
b = number of fish Beck caught
They caught a total of 75 fish, so we have:
b + a = 75
From the facts in our question we know Ally would have caught 75 fewer fish than Beck.
3b = 2a + 75
a = 75 - b
3b = 2(75 - b) + 75
3b = 150 - 2b + 75
5b = 225
5b ÷ 5 = 225 ÷ 5
b = 45
Beck caught 45 fish.
What scale factor do you use to make
A 5mm object 100mm ?
Answer:
Utiliza una cifra que pueda ser resultado de dividir 100:5 y eso a su vez nos dará el valor que debe aumentar en la escala
please help asap!!!
What is the decimal value of 4/11? Show long division.
How do you know that 4/11 is a repeating decimal?
Answer:
0.3636363636363636
Step-by-step explanation:
Its a repeating decimal because 4 cannot be divided by 11
There ya' go :]
(1+h): - 1
A. lim
h>0
h
f(0) =
х
a =
1
B. lim
h>0
cos(1 + h) +1
h
f(3) =
a =
7T
5(4+ h)" - 5120
C. lim
h->0
h
f(x) =
a =
4
o
D. lim
h 0
e4h - 1
h
f(x) =
a =
e
Х
Pls take a look at the picture
Each of these limits correspond to the derivative of some function f(x) at a point x = a.
Recall the limit definition of a function f(x) :
f '(x) = lim [h → 0] ( f(x + h) - f(x) ) / h
Then if x = a, we get
f '(a) = lim [h → 0] ( f(a + h) - f(a) ) / h
From here, it's easy to identify what each function and point should be:
(a) f (a + h) = (1 + h)¹ʹ³ → f(x) = x ¹ʹ³ and a = 1
(that's a 1/3 in the exponent)
(b) f (a + h) = cos(π + h) → f(x) = cos(x) and a = π
(c) f (a + h) = 5 (4 + h)⁵ → f(x) = 5x ⁵ and a = 4
(d) f (a + h) = exp(4h) = exp(4 (0 + h)) → f(x) = exp(4x) and a = 0
(where exp(x) = eˣ )
The bigger
the number the more
factor pairs it has.
Use examples to show that Dexter is wrong.
Answer:
See Explanation
Step-by-step explanation:
Required
Prove that Dexter is wrong
To prove that Dexter is wrong, we use the following numbers.
[tex]Number = 4[/tex]
The factors are:
[tex]Factor = 1,2\ and\ 4[/tex]
3 factors
Using a greater number:
[tex]Number = 5[/tex]
The factors are:
[tex]Factor = 1\ and\ 5[/tex]
2 factors
From the above analysis:
4 has 3 factors and 5 has 2 factors; which shows that 5 has fewer factors
This shows that Dexter is wrong
zach read a book10 min every weekend for the first month 20min in 2nd month 40 min in third month and 80 min in 4th month
victoria read a book 35 everyweekend for first month 50 min second month 65 min third month 80 min 4 the month which method is used linear or exponential
Answer:
Zach time of reading every weekend forms a sequence with these terms: 10, 20, 40, 80. On the other hand, that of Victoria forms a sequence with terms: 35, 50, 65, 80. By keenly observing the sequences, Zach's sequence is a geometric sequence with a common ratio equal to 2 and Victoria's sequence is an arithmetic or linear sequence with a common difference of 15. Thus, the answer is letter B.
Step-by-step explanation:
surface area of a sphere with radius 19
Answer:
A≈4536.46
Step-by-step explanation:
I hope this helps! ^^
☁️☁️☁️☁️☁️☁️☁️
Answer:
Radius 19
A ≈ 4536.46 .....ans
A movie theater sends out a coupon for 20% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket.
Answer:
y = 0.8x
Step-by-step explanation:
y = x-0.2x
y=x(1-0.2)
y=x(0.8)
hence y = 0.8x
Find the value of x. Please help!
Answer:
x = 3
Step-by-step explanation:
Using the triangle similarity theorem
x/x+3 = x+3/12
Cross multiply
12x = (x+3)(x+3)
12x = x²+3x+3x+9
12x = x²+6x+9
x²+6x+9-12x = 0
x²-6x+9 = 0
Factorize
x²-3x-3x+9 = 0
x(x-3)-3(x-3) = 0
x - 3 = 0
x = 3 twice
Hence the value of x is 3
What is the range of the following set of data?
4, 8, 3, 5,5,7,6,4
Step-by-step explanation:
4 + 8 + 3 + 5 + 5 + 7 + 6 + 4 divided 8
42 divided 8
5,25
cmiiw!
What is the volume of the figure below, in cubic centimeters?
2 rectangular prisms. One prism has a length of 12 centimeters, width of 9 centimeters, and height of 2 centimeters. The other prism has a length of 10 centimeters, width of 9 centimeters, and height of 8 centimeters.
756
936
1,008
1,080
The volume of the rectangular prism is V = 936 cm³
What is the Volume of a Rectangle?The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
To find the volume of the figure, we need to calculate the volumes of the two rectangular prisms separately and then add them together.
The volume of a rectangular prism is given by the formula:
Volume = length x width x height
For the first prism:
Length = 12 centimeters
Width = 9 centimeters
Height = 2 centimeters
Volume of first prism = 12 cm x 9 cm x 2 cm = 216 centimeters³
For the second prism:
Length = 10 centimeters
Width = 9 centimeters
Height = 8 centimeters
Volume of second prism = 10 cm x 9 cm x 8 cm = 720 centimeters³
Now, we add the volumes of the two prisms together to get the total volume of the figure:
216 cubic centimeters + 720 cubic centimeters = 936 centimeters³
Hence , the rectangular prism has volume of 936 cm³
To learn more about volume of rectangle click :
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