Answer:
455
Step-by-step explanation:
This is a combinatorics problem.
It is asking us the number of ways a sample of r elements can be obtained from a larger set of n objects where order does not matter and repetitions are not allowed
It is called n choose k and the formula is
[tex]C(n,r) = \binom{n}{r} = \frac{n!}{( r! (n - r)! )}[/tex]
Here the ! symbol represents the factorial of that number
For example,
[tex]n! = n\cdot(n-1)\cdot(n-2)......\cdot3\cdot2\cdot 1[/tex]
Here n = 15 and r = 12
How many ways can we arrange 12 people in 15 slots
[tex]C(n,r) = C(15,12)[/tex]
[tex]= \frac{15!}{( 12! (15 - 12)! )}[/tex]
[tex]= \frac{15!}{12! \times 3! }[/tex]
[tex]= 455[/tex]
You can use a calculator to do this but noting that
15! = 15 x 14 x 13 x 12! and 3! = 3 x 2 = 6 we get
[tex]= \frac{15!}{12! \times 3! } = \frac{15\cdot14\cdot13}{6} = 455[/tex]
Both pyramids in the figure have the same base area as the prisme
The ratio of the combined volume of the pyramids to the volume of the prism,expressed as a fraction in simplest form,is 1/3.
How to calculate the ratio?The volume of a pyramid is (1/3) (base area) (height)
Volume of the lower pyramid = (1/3) (base area) (height) Volume of the upper pyramid = (1/3) (basearea × height)
The combined volume of both pyramids = (2/3) × (base area) (height) .
Their base area is (length x width) of the prism, and their height is (1/2 the height) of the prism.
From here, we'll work with the dimensions of the prism ... L, W, and H .
Combined volume of the pyramids = (2/3) (L x W) (1/2 H)
= (1/3) (L x W x H) .
Volume of the prism = (L x W x H)
The pyramids occupy 1/3 the volume of the prism.
The ratio is 1/3 .
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Both pyramids in the figure have the same base area as the prism. The ratio of the combined volume of the pyramids to the volume of the prism,expressed as a fraction in simplest form,is
a dozen cookies shared among 15 children. If each child receives the same amount of pizza, how much will each child get?
the faces of a 10-sided die are numbered 0 through 9. a. if the die is rolled, what is the probability that the value of the roll is a prime number? b. what is the expected value of the roll? c. if the die is rolled twice, what is the probability that the same number is obtained both times?
If the die is rolled then the probability of the roll is a prime number is [tex]\frac{4}{10}=\frac{2}{5}[/tex]. The probability that the same number would appear twice on the dice is [tex]0.01[/tex], and the expected value of the roll is [tex]5.5[/tex].
How would you define expected value?Expected value (EV), which is based on a random variable's probability distribution, describes the long-term average level of that variable. The expected value of a stock or other investment is a crucial factor in investing and is taken into account while performing scenario analysis. The anticipated value is an extension of the weighted average in probability theory. Informally, the anticipated value is the arithmetic mean of a significant number of outcomes of a random variable that were independently chosen. Find the anticipated value by [tex]E(X)[/tex]. Simply multiply each value of the discrete random variable by its probability, then add the results to get the value, or mean, of the random variable. The equation is provided as [tex]E(X)[/tex]=μ=Σ[tex]XP(X)[/tex]. Expected value is calculated by multiplying each outcome's value by the probability.
Total Number of outcomes is [tex]10[/tex]. And the number of prime number is [tex]4 \ \ i.e.\ (2,3,5,7)[/tex]. So the probability of a prime number is [tex]\frac{4}{10}=\frac{2}{5}[/tex]
The expected value is ×[tex]XP(X)= 0*\frac{1}{10}+1 * \frac{1}{10} + 2*\frac{1}{10} +3*\frac{1}{10} +4*\frac{1}{10} +5*\frac{1}{10} +6*\frac{1}{10} +7*\frac{1}{10} +8*\frac{1}{10} +9*\frac{1}{10} \\ =0+\frac{1}{10}+\frac{2}{10}+\frac{3}{10}+\frac{4}{10}+\frac{5}{10}+\frac{6}{10}+\frac{7}{10} +\frac{8}{10}+\frac{9}{10} \\ =\frac{1+2+3+4+5+6+7+8+9}{10}=\frac{55}{10}=5.5[/tex]
If the dice is rolled twice the probability that the same number is obtained is [tex]\frac{1}{10}*\frac{1}{10}=\frac{1}{100}=0.01[/tex]
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4x-5=x-1+3x I need help
Answer:
x = no solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
4x - 5 = x - 1 + 3x
Step 2: Solve for x
Combine like terms: 4x - 5 = 4x - 1Subtract 4x on both sides: -5 ≠ -1Here we see that -5 does not equal -1.
∴ This equation has no solutions.
Question 9 PLZ HELP FAST ILL GOVE BRAINLIST AND EXTRA MALE SURE TOU EXPLAIN YOURSELF
Answer:
C
Step-by-step explanation:
the unit right below yards is ft so we can mark out A
we also know that there are 3 feet in 1 yard and that in order for the unit yard to cancel out, the 1 yard needs to be the denominator to 3 feet, so we can mark out D
the unit right below feet is inches and we know that there are 12 inches in one foot, so we can mark out B
this leaves us with C
Help plzzzzz!!!:) I’ll make you brainlest:)
Answer:
3r/s
Step-by-step explanation:
Several friends compared their bank account balances. Current Account Balance Name Checking account balance Zöe $10.98 Yvette –$11.32 Xavier –$11.71 Wyatt $11.75 Vern $10.89 Which list shows the people in order of the least bank balance to the greatest bank balance? Vern, Zöe, Yvette, Xavier, Wyatt Xavier, Yvette, Vern, Zöe, Wyatt Yvette, Xavier, Vern, Zöe, Wyatt Wyatt, Zöe, Vern, Yvette, Xavier
Answer:
A. Vern, Zöe, Yvette, Xavier, Wyatt
Step-by-step explanation:
Zöe $10.98
Yvette –$11.32
Xavier –$11.71
Wyatt $11.75
Vern $10.89
Arrange from the least bank balance to the greatest bank balance
Vern $10.89
Zöe $10.98
Yvette –$11.32
Xavier –$11.71
Wyatt $11.75
Which list shows the people in order of the least bank balance to the greatest bank balance?
A. Vern, Zöe, Yvette, Xavier, Wyatt
B. Xavier, Yvette, Vern, Zöe, Wyatt
C. Yvette, Xavier, Vern, Zöe, Wyatt
D. Wyatt, Zöe, Vern, Yvette, Xavier
Answer:
Vern, Zöe, Yvette, Xavier, Wyatt A
Step-by-step explanation:
I took the test :)
30 P O I N T S H U R R Y
Answer:
1 1/2
Step-by-step explanation:
I think
Answer:
1 1/14
Step-by-step explanation:
same denominator so, 10+11 = 21,
simplified, 1 1/14
Carson invested $850 in an account paying an interest rate of 5.7% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest dollar, would be in the account after 6 years?
Answer:
$850×5.7/100=48.45
850+48.45=898.45
898
Answer: 1197
Step-by-step explanation:
Please help me as soon as possible!! please somebody with the correct answer please!
Answer: -0.6
Step-by-step explanation:
which equation represents the line shown on the
Answer:
A
Step-by-step explanation:
y-int = -2
so the line should cross (0, -2)
Rise over run is 2/5 so go up 2, over 5 and put your dot etc...
The school is 4000 meters from Jim house how many kilometers is this
Answer:
A
Step-by-step explanation:
Plssssss help me I don’t understand this!!!
Answer:
D. 375
Step-by-step explanation:
this is the answer because the distance you need to travel doesn't change based off the amount of gas you have
Mount Evans in Colorado reaches a height of 14,265 feet above sea level. Mount Boulder in Utah reaches a height of 11,316 feet above sea level. Which statement can be used to show that Mount Boulder is smaller than Mount Evans?
11,316 ft ≥ 14,265 ft
11,316 ft = 14,265 ft
11,316 ft 14,265 ft
Answer:
11,316 < 14,265
Step-by-step explanation:
< Smaller than Mount Evans
> Bigger than Mount Evans
= Same size as Mount Evans
< Less than or equal to the size of Mount Evans
> Greater than or equal to the size of Mount Evans
How do I solve and respond to this question?
Answer:
i think its 6 and 8
Step-by-step explanation:
sorry if i get it wrong
can you tell me if it is right or wrong
There are 2.54 centimeters in 1 inch. If a pencil is 18 cm long, how many inches is it? Round to the nearest whole number.
Answer:
7 Inches
Explanation:
2.54 Cm. In One Inch.Pencil Is 18 Cm LongDivide:
18 ÷ 2.54 = 7.08661417323
Round:
7
- PNW
Two dice are tossed. If the first die shows 4, what is the probability that the second die shows even ?
Answer:
There's a 1/6th chance it'll be tied up.
Step-by-step explanation:
A dice has six sides. One of these sides has 4 dots.
Answer:
2/3 or 1/6
Step-by-step explanation:
Because a die has six sides. So you have six chances to get a 4 again.
Which statement is true A has the risk of an investment decreases the opportunity of gains increases B as the risk of an investment decreases so does the potential for its return C as the risk of an investment increases its market value increases D as the risk of an investment increases the opportunity of gains decreases E as a risk of an investment increases its market value decreases
Answer is B: As the risk of an investment decreases, so does the potential for its return.
Can someone answer this plz
Answer:
slope is 4x
y intercept is (0,6)
equation is y=4x+6
Step-by-step explanation:
don't know what proportional means with graphs
Find the measure of Angle A. Angle A=
Answer: Angle A= 35
Step-by-step explanation:
Pls be right will give brainliest
Answer:
The answer is D.
Step-by-step explanation:
help me solve this.
Answer:
A' (-1,2), B' (-5,-3), C' (3,2)
Step-by-step explanation:
Reflect triangle ABC across the y-axis.
Ry-axis: (x,y) → (-x,y)
A (1,2) → A' (-1,2)
B (5,-3) → B' (-5,-3)
C (-3,2) → C' (3,2)
I hope this helps :)
Answer:
this the season to be jolly falalalalaaaa la la la la
help me please........
Step-by-step explanation:
a : (-6 , -8)
b: (6 , 8)
I used desmos for the problems
5 = 2m − 5
How do you solve for M
I need help with this, plz help
Answer:
<AFB
Step-by-step explanation:
PLEASE ANSWERR CORRECTLY!!!!!!!!
WILL MARK BRAINLIEST FOR CORRECT ANSWER!!!!!!!!
At the beginning of the week, Naveen has 87 trading cards. On Monday, he gets 9 more. On Tuesday, he gives 16 away. On Wednesday, he is given 3 by a friend. On Thursday, he sells all of his cards to a collector. The collector pays him a rate of c for every card that Naveen has. If Naveen earns $124.50 from the sale, what is c, the rate that the collector pays for each card?
A) $1.08
B) $1.50
C) $41.50
D) $83.00
PLEASE ANSWER CORRECTLY!!!!!!!!
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B) $1..50
Step-by-step explanation:
First, how many trading cards did Naveen have?
87 + 9 - 16 + 3 = 83
$124.50 / 83 = $1.50
Does anyone know??? ???
Answer: The answer is D.) -2 and I'm correct :)
Step-by-step explanation:(-3,0) and (-4,2)
M=y2-y1
x2-x1
M= 2-0= 2
-4-(-3) = -1 ^Both equal to -2
What is the slope of the line ?
O 1/4
O 8/17
O 4
O 6
Help pleaseeeeeeeeee
Is -2=-2 a true or false statement
Answer:
true
Step-by-step explanation: