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
the base of a triangular pyramid has a base of 3 inches and a height of 2 inches the height of the pyramid is 6 inches find the volume
Answer:
6
Step-by-step explanation:
3 x 2 =6
6 / 2 =3
3 x 6 = 18
18 / 3 = 6
So your answer is 6
(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 )
PLS HELP
What is the length, in feet, of AD in the isosceles trapezoid ABCD?
15 ft
c
1410
5 ft
A
D
F
Note: Figure is not drawn to scale.
O 3 feet
O 10 feet
O 141 feet
O 21 feet
Answer:
21 feet
Explanation:
Using pythagorean theorem to find the length of the added length of the bottom.
A^2+B^2=C^2 or 4^2+B^2=5^2 or 16+B^2=25
25-16=9 so B^2 is 9 and the square root of that is 3 so B is 3. Then you add 15+3+3 to get 21.
find each unknown. Double a known fact.
9 x 4=
Answer: 36
Step-by-step explanation:
given that (-7,-1) is on the graph of f (x) find the correponding point for the function f (x+1 )
Answer:
X=-7 so -7+1 is -6 hope this helps
Name another ordered pair that is on the graph
of the equation represented by the table.
HELP MEH ASAP PLS PLZ PLZ
Answer:
(5,30)
Step-by-step explanation:
That is the constant change in the y's as the x's increase by 1?
12 - 6 = 6
18 - 12 = 6
24 - 18 = 6
The common difference is 6 so the next coordinate will be 6 more on the y and 1 more on the x.
(5,30)
What is this fraction shown above?
A triangle has side lengths of (6p - 7) centimeters, ('7p - 2) centimeters, and
(69 - 9) centimeters.
Answer: 10
Step-by-st
8x = 63.2
How do I solve for x
Answer:
7.9
Step-by-step explanation:
8x=63.2
Simply divide 63.2 by 8 to get an answer of 7.9 :)
In order to pay for his expenses, Chuck needs to earn $2400 at least every
month. When Chuck works overtime, he earns $3000 per month. If the
variable e stands for the amount of money Chuck has left after paying for his
expenses every month, which of the following choices is the most reasonable
value for e when he works overtime?
A. $120
B. $1200
C. $600
D. $5400
Answer:
5400
Step-by-step explanation:
2400+3000
11. There are 14 boys and 16 girls in Mr. Allen's
class. What is the ratio of girls to the total
number of students in the class? Write the
ratio in 3 ways.
Answer:
16 : 30, 16 to 30, 16/30
Step-by-step explanation:
Answer:
The ratio of boys to girls in the simplest form is 7:8
Step-by-step explanation:
There are 14 boys and 16 girls in a class. The ratio of boys to girls in the class is 14:16 or 7:8.
A person places $37700 in an investment account earning an annual rate of 5%,
compounded continuously. Using the formula V = Peșt, where Vis the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 16 years.
Answer:
8,229,437 cents
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r)^n
Given
Principal invested = $37700
rate r = 5% = 0.05
Time t = 16years
Substitute into the formula
A = 37700(1+0.05)^16
A = 37700(1.05)^16
A = 37700(2.1829)
A = 82,294.37
Hence the amount of money, to the nearest cent, in the account after 16 years is 8,229,437 cents
George paid $49 for a pair of shoes that was on sale for 20% off the
original price. What was the original price of the shoes?
Answer:
58.8
Step-by-step explanation: Im pretty sure this is the answer but im sorry if im wrong UwU
look back at the question on page 437. how does this tall tale explain changes in nature? provide evidence to support your answer from Paul Bunyan
Answer:
ayeee yooooo my guy someone is not gonna read the whole book for 5 points.
Step-by-step explanation:
i'm sorry but did you read to question?? you sure you did?
which graph represents the inequality x > 15
Answer:
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
The children at Colin Powell Middle School donated 400 can goods to help
feed the homeless. 100 of the cans were corn. When the children sort the
cans in boxes, what is the probability (in percent) of the first can pulled
being a can of corn?
Answer:
25%
Step-by-step explanation:
400 divided by 100 = .25 which is 25%
Please answer these in a fraction form. Thank you have an AMAZING day!
1. 2/5 ÷ 3 1/10 = ?
2. 4 1/3 ÷ 4/7 = ?
3. 3 1/6 ÷ 9/10 = ?
4. 5/8 ÷ 2 7/12= ?
Answer:
use Photomath app to answer your question.
What is 5c - 3d - 12c + d - 6 written in simplest form
Answer:
the answer is -7c - 2d - 6
Step-by-step explanation:
Simplify the expression.
Hoped this helped!
brainly, please?
The required simplest form of the given expression is given as -7c -2d -6.
Given that,
To determine the simplest form of the given expression 5c - 3d - 12c + d - 6.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
= 5c - 3d - 12c + d - 6
Adding alike terms,
= -7c -2d - 6
Thus, the required simplest form of the given expression is given as -7c -2d -6.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Find the value of x.
F
8
E
Х
Н.
Х
-
Answer:
Step-by-step explanation:
x = 8
A $129.50 stereo is discounted 40%.The next month the sale price is discounted 60%. Is the stereo now free if not what is the sale price?
Let’s see if any of you get it my teacher asked me this on Thursday I got it right. Must shows step-by-step explanation
Answer:
no, it is not free. $31.08 is the sale price
Step-by-step explanation:
1 - .4 = .6 –––––> paying 60% of original price with first discount
129.50 • .6 = $77.70
1 - .6 = .4 ––––––> paying 40% of the discounted price
77.70 • .4 = $31.08 is the sale price
Eliane bought 3/4 lb. of pears for $2.25 per pound. What did Eliane spend on pears per pound?
Answer:
$3 per pound
Step-by-step explanation:
2.25 / .75 = x / 1
.75x = 2.25
x = 3
Which could be the function graphed below?
f(x)= x-2
f(x)= VX-3+1
f(x) = 2x+4
f(x)= x + 1 + 8
Answer:
f(x) = √x - 2
Step-by-step explanation:
that graph is what the graph of a square root looks like translated 2 units down
since the translation is vertical, the -2 must be outside the square root
Ethan sold 2/3 gallon of lemonade. Kayla sold some lemonade too. Together, they sold 1 1/4 gallons. Who sold more lemonade, Ethan or Kayla? How much more ?
Rewrite 1 1/4 as an improper fraction:
1 1/4 = 5/4 gallons.
Rewrite both fractions with a common denominator:
2/3 = 8/12
5/4 = 15/12
Subtract the amount Ethan sold from total:
15/12 - 8/12 = 7/12
Kayla sold 7/12
This means Ethan sold more, because 8/12 is more than 7/12
Factor
4y(3x+2)-2(3x+2)
Answer:
[tex]2(3x+2)(2y-1)[/tex]
Step-by-step explanation:
Hope I helped!
Answer:
(4y − 2)(3x + 2)
Step-by-step explanation:
4y(3x + 2) − 2(3x + 2) = (3x + 2)[4y − 2]
-2 - 5r = 18
help mee
Answer:
r = -4
Step-by-step explanation:
-2 - 5r = 18
+2 +2
––––––––
-5r = 20
/5 /5
––––––
-r = 4
/-1 /-1
–––––
r = -4
Anyone 100% know dis answer
Answer:
Rotational symmetry
Step-by-step explanation:
The rectangle rotated 180 degrees to get the transformed rectangle.
For f(x) =8x+11, find f(x) when x = 4.
Answer:
43
Step-by-step explanation:
Plug x in.
8(4)+11=32+11=43
Hope I helped!
Answer:
43
Step-by-step explanation:
f(x) = 8x + 11
x = 4
f(4) = 8(4) + 11
f(4) = 32 + 11
f(4) = 43
Factor completely. Be sure to factor out the GCF when necessary. Select "Prime" if the polynomial cannot be factored.
Answer:
There is no problem to factor.
Step-by-step explanation:
find the value of x please help
Will give brainliest
What is the value of y = 7 – 2c when x =4?
When x = 4, y =?