Using the combination formula, it is found that there are [tex]6.4 \times 10^{32}[/tex] ways to deal the cards to the six players.
The order in which the cards are handed to each player is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
For the first player, 5 cards are taken from a set of 48.For the second player, they are taken from a set of 43.For the third for a set of 38, for the fourth from a set of 33, for the fifth from a set of 28 and for the sixth from a set of 23, hence:[tex]T = C_{48,5} \times C_{43,5} \times C_{38,5} \tims C_{33,5} \times C_{28,5} \times C_{23,5}[/tex]
[tex]6.4 \times 10^{32}[/tex]
There are [tex]6.4 \times 10^{32}[/tex] ways to deal the cards to the six players.
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A baker has 40 pounds of sugar. He plans to store the sugar in 6 equal containers. He must store all of the sugar. How many pounds will be in each container.
40/6 = 6.666... in each container
hope it helps...!!!
Answer:
[tex]6\frac{2}{3}\text{ pounds}[/tex]
Step-by-step explanation:
The baker must have equal amounts in all countainers. Therefore we need to use division to solve this question.
In this scenario we divide the 40 pounds of sugar between the 6 equal containers.Therefore we get:
[tex]\frac{40}{6}[/tex]
Simplify the fraction:
[tex]\frac{20}{3}[/tex]
Write it as a mixed fraction:
20 divided by 3 is 6 with a remainder of 2This means the mixed fraction is:[tex]6\frac{2}{3}[/tex]
6 2/3 pounds will be in each container.
20 points!!!
1. (07.01 MC)
Part A: Explain why x = 5 makes 4x - 1 s 19 true but not 4x -1 < 19. (5 points)
Part B: What value from the set {6, 7, 8, 9, 10) makes the equation 5x + 2 = 47 true? Show your work. (5 points)
Answer:
s part a i don't know what the question is asking, I think n n n the are the same equation
a part b is 9
p
Step-by-step explanation:
I know that 5*9 equals 45 so basically it turns into
5(9)=45
45+2=47
dsan168
BRAINLEST! PLUS POINTS for whoever gives all the answer
Answer:
start by thinking step by step
Step-by-step explanation:
Which frequency table shows the data listed below?
4, 7, 8, 12, 14, 15, 15, 15, 17, 18, 19, 20, 22, 24, 25
Answer:
This chart is correct
Step-by-step explanation:
I did this lesson
Convert the units to the nearest tenth.
Enter the correct answer in the box.
Show Hints
8 fluid ounces ~
milliliters
Answer:
236.6
Step-by-step explanation:
Answer:
240 ml
Step-by-step explanation:
consuela is displaying a cylindrical case on a pedestal. she wants it to be placed so that there is an even amount of space on either side of the case. if the volume of cylinder shown is 1,130.97 cubic inches, how much space will be on either side if its placed on a pedestal that is 18 inches across? round to the nearest inch
The space that will be on either side if its placed on the pedestal of the cylinder that is 18 inches across will be 4.47 inches.
How to compute the dimension?It should be noted that the volume of a cylinder is given as:
= πr²h
We'll then slot the values given into the formula. This will be:
Volume = πr²h
1130.97 = (3.14 × r² × 18)
1130.97 = 56.52r²
r² = 1130.97/56.52
r² = 20
r = ✓20
r = 4.47
In conclusion, the space will be 4.47 inches.
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Three college refrigerators are on sale at an appliance store. All three have storage areas that are cubes. The first has an internal measurement of 1.5 feet for each side. It costs $98. The second has an internal measurement of 2.1 feet for each side. It costs $142. The third has an internal measurement of 1.75 feet for each side. It costs $124. Comparing the cost per cubic foot, which refrigerator is the best buy?
Please tell me what you did to solve this. Ty!
By taking the quotients between the cost and the volume of each refrigerator, we will see that the best buy is the second option.
How to get the cost per cubic foot?
To get this, we just need to take the quotient between the cost of the refrigerators and their volume.
Remember that the volume of a cube of side length S is V = S^3
For the first one, the cost is $98 and the side length is 1.5ft, so the volume is:
V = (1.5ft)^3 = 3.375 ft^3
The cubic per square foot is:
C = ($98/3.375 ft^3) = $29.04 per cubic foot.
For the second refrigerator, the side length is 2.1 ft and the cost is $142. Then the volume is:
V = (2.1 ft)^3 = 9.261 ft^3
The cost per cubic foot is:
C = ($142/9.261 ft^3) = $15.33 per cubic foot.
For the third refrigerator, the side length is 1.75 ft and the cost is $124.
So the volume will be:
V = (1.75 ft)^3 = 5.3594 ft^3
Then the cost per cubic foot is:
C = ($124/5.3594 ft^3) = $23.14 per cubic foot.
So, as we saw, the best buy will be the second option, because it has the lowest price per cubic foot.
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Can you help me find x and explain what you did
Answer:
30
Step-by-step explanation:
We must apply a formula here in order to solve this problem.
(aka as the Angles Outside Circle Therom)
X=1/2(Outer Arc- Inner Arc)
Our Inner arc is 150, to find the outer arc we do 360-150 which is 210
Now that we have both arcs, we plug them into the equation.
X=1/2(210-150)
X=1/2(60)
X=30
- 2x+4 what’s the answer
What do you mean by answer? you cannot solve for a numerical value without setting it equal to anything.
the only thing you can do is factor out a 2
2(-x +2)
If we know the area of this base, we'll know how many cubes can fill the bottom layer. We can find the area of the rectangle by multiplying the length times the width. Help me out.
The base of the prism is a rectangle with a length of 6 inches and a width of 4 inches.
Find the area of the base.
rectangular prism
Answer: i think you need a math tutor
Answer:
24
Step-by-step explanation:
Plato
The triangles below are similar. Find x.
Answer:
x = 1
Step-by-step explanation:
4x - 8 = 16 what does X equal to?
Answer:
x=6
Step-by-step explanation:
im smart this is the answer i swear to ahead and try it yw
Answer:
x = 6
Step-by-step explanation:
To solve an equation for the value of a variable, undo the operations that are performed on that variable. The Order of Operations tells you the order they are performed. The operations can be undone in the reverse order by making use of inverse operations.
__
Here, x is multiplied by 4 and -8 is added to the product. The opposite of -8 is +8, so we can add that to both sides of the equation to "undo" the addition.
4x -8 = 16 . . . . given
4x -8 +8 = 16 +8 . . . . add the opposite of the constant
4x = 24 . . . . . . . . . . simplify
To undo the multiplication, we multiply by the "multiplicative inverse" or "reciprocal" of the coefficient of x. Again, we do this to both sides of the equation.
(1/4)(4x) = (1/4)(24) . . . . multiply by inverse of 4
x = 6 . . . . . . simplify . . . . this is the value of x you are looking for
_____
Additional comment
This is called a "2-step" linear equation. The two steps are ...
isolate the variable term by adding the opposite of the constanteliminate the variable coefficient by multiplying by its inverseNote that multiplying by 1/4 is the same as dividing by 4. Adding the opposite of a number is the same as subtracting the number.
The properties of equality tell you that you can do anything you like to an equation, as long as you do the same thing to both sides of the equation. When solving equations, this is the one rule that you must never violate.
Select the correct description for the polar function, r = 6 sin
The correct description for the polar function, r = 6sin(θ) is: D. Circle symmetric on the line theta = 0, with a radius of 6.
The conversion of polar coordinates.In Mathematics, the relationship between the polar coordinates (r, θ) and rectangular coordinates (x, y) is given by these polar functions:
On the horizontal plane:
x = rcosθ
On the vertical plane:
y = rsinθ
Where:
θ is the angle.r is the diameter of a circle.In conclusion, the correct description for the polar function, r = 6sin(θ) is circle symmetric on the line with an angle (θ) equal to zero (0) and a radius of 6.
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4. there are nearly 10 thousand bacteria in the area of one square millimeter. how many bacteria will be there in the area of 12 square millimeter?
Answer:
Around 120,000 bacteria.
Multiply the amount of estimated bacteria by the amount of square millimeters.
[tex]10,000 * 12 = 120,000[/tex]
Joy and John MacAllister have agreed to purchase a house
for $379,900. First National Savings & Loan is willing to
lend the money at 6. 5% for 25 years, provided the
MacAllisters can make a $79,900 down payment. The total
closing cost is 3. 5% of the amount of the mortgage. What is
the total closing cost?
The total closing cost is 3. 5% of the amount of the mortgage. So, the total amount would be $10500.
What is down payment?An initial payment made when something is bought on credit to make the down payment.
First National Savings & Loan is willing to lend them money at 6. 5% for 25 years, provided the MacAllister's can make a $79,900 down payment.
$379,900 - $79,900 =$300,000
because down payments are never included with the total mortgage loan.
The total closing cost is 3. 5% of the amount of the mortgage.
3.5 percent for closing costs
= [tex]3.5/100 \times 300000\\\\3.5 \times 3000\\\\10500[/tex]
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The minimum wage in 1975 was $2.00. The minimum wage in 2010 was $7.25. Find the average rate of change of the minimum wage from 1975 to 2010. (Round to nearest hundredth) 0.08 $/yr 0.08 $/yr , 0.08 yr/$ 0.08 yr/$ , 0.15 yr/$ 0.15 yr/$ , 0.15 $/yr
Answer: $0.15/Yr
Step-by-step explanation:
Difference in year 2010- 1975= 35
Range = 7.25 - 2 = 5.25
Per year = 5.25/ 35
What is the line of the equation PERPENDICULAR to the slope of -6/5 and through the y-intercept of 3?
Answer:
y = 5/6x+ 3
Step-by-step explanation:
Given
slope = -6/5y-intercept = 3Solving
The slope of the perpendicular line is the negative reciprocal of the original lineSo, the new slope is : -(1/-6/5)) = 5/6It mentions the line passes through the y-intercept of 3y = mx + c⇒ y = 5/6x+ 3
A cylindrical gas tank has a volume
of 1,808.64 m². Its height is 9 m. What is its radius?
Answer:
The radius is 32
Step-by-step explanation:
V= πr2h
So,
3.14(18)(x)=1808.64
56.52x=1808.64
= 32.
Rippy spends 3 hours, 35 minutes, and 4 seconds driving on a road trip. How many seconds did she spend driving?
Answer:
12,904 sec
Step-by-step explanation:
Each hour is 3600 seconds
each minute is 60 seconds
3600 * 3 + 35 *60 + 4 =
Solve Me Mobiles puzzle #20 I need help please I'll give 88 points. I just need help trying to solve this puzzle!!!!
Answer:
where is the puzzle??
Step-by-step explanation:
Answer:
the purple trapezoid = 15
the moon = 15 -4 = 11
Step-by-step explanation:
The two sides are equal so 30÷2=15
the two diamonds are worth 2 each 2×2=4
the purple trapezoid = 15
the moon = 15 -4 = 11
SOMEONE HELP THIS IS THE LAST QUSETION I NEED IT FAST QUICK PLS
Answer:
18
Step-by-step explanation:
to solve this we need to find how frequent pink is landed on. to find the frequency we add all the total
12+6+9+13=40
then we divide 6 (frequency of pink) by 40 to fing how frequent 6 is in percentage
6÷40=.15=15%
then we multiply 15% by 120
120×.15= 18
I’ll give Brainliest!!
The values of several terms in a sequence are shown in the table.
Term
Value
Second
5
Fourth
12
Seventh
22.5
Find the first term, f (1).
f(1) =
What is the simplest form of rootindex 4 startroot 81 x superscript 8 baseline y superscript 5 baseline endroot?
An equation is formed of two equal expressions. The simplest form of the equation (81x⁸y⁵)⁰°²⁵ is 3x²y(y⁰°²⁵).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The simplest form of the equation [tex]\sqrt[4]{81x^8 \times y^5}[/tex] can be written as,
[tex]\sqrt[4]{81x^8 \times y^5}\\\\= (81x^8 \times y^5)^{\frac14}\\\\= (3^4x^8 \times y^4 \times y)^{\frac14}\\\\= 3^{(\frac14 \times 4)} \times x^{(\frac14\times 8)} \times y^{(\frac14 \times 4)} \times y^{(\frac14 \times 1)}\\\\=3 \times x^2 \times y \times \sqrt[4]{y}\\\\=3x^2y \sqrt[4]{y}[/tex]
Thus, the simplest form of the equation (81x⁸y⁵)⁰°²⁵ is 3x²y(y⁰°²⁵).
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Answer:
its b
Step-by-step explanation:
on edge 2022
If Sn=n2+2n then find the first five term
Answer
first term put n=1 that is equal to 3
A bag contains seven tiles labeled B, C, D, E, F, G, and H. One tile will be randomly picked. What is the probability of picking a vowel?
Write your answer as a fraction in simplest form
Answer:
[tex]\sf \dfrac{1}{7}[/tex]
Step-by-step explanation:
Given labeled tiles: B, C, D, E, F, G, H
Total number of tiles = 7
Vowels = A, E, I, O and U
⇒ Total number of vowel tiles in bag = 1
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf Probability\:of\:picking\:a\:vowel= \dfrac{Number\:of\:vowel\:tiles}{Total\:number\:of\:tiles}=\dfrac{1}{7}[/tex]
I need help can someone help me please
Answer:
I got 142
Step-by-step explanation:
At the end of a basketball game the players were given the choice of having a bottle of water or a box of juice of all the players 12 chose a bottle of water which was three over four of the total number of players right and solve any equation to determine p the total number of players at the basketball game
Gerald would like to add a dental and vision option to the health insurance plan he purchased through his employer. in addition to the 65% of gerald’s $345 monthly health insurance premium, his employer has offered to pay 50% of a $38 monthly dental premium and 75% of a $23 monthly vision premium. if gerald adds both the dental and vision options to his insurance plan, how much will he pay each month towards health insurance? soopergood insurance option monthly premium employer contribution health insurance $345 65% dental $38 50% vision $23 75% a. $141.75 b. $145.50 c. $149.50 d. $260.50
From the calculations, Gerald will now have to pay the sum of $145.50 towards his monthly health insurance.
How is the above sum arrived at?
Note that the first sum being contributed by Gerald is (100%- 65%) of $345. This is 35% of $345 = $120.75
If his employer takes up 50% of $38, this leaves his contribution for dental as 50% of $38 = $19
Also if his employer takes up 75% of $23, his contribtuion for vision premium is 25% of 23 = $5.75
Hence his total contribution is now:
120.75 + 19.00 + 5.75 = $145.50
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In 2011, Americans used 1.86 x 1011
kilowatt-hours to light their homes. They used
4.6 x 1010 kilowatt-hours to run their
computer and computer equipment.
Answer:
In 2011, Americans used 1.86x10" kilowatt-hours to light their home kilowatt-hours to run their computers and computer equipment. Circle the number that correctly completes the statement
Step-by-step explanation:
hope this helped
Which piecewise function represents the graph?
Answer:
D
Step-by-step explanation:
If you look at the right side of each piecewise function, you will see the x-values. That is what we will be focusing on in this explanation. All four equations have x > 4, and we know that to be true. If you look at the equation on the graph going South West, you will see that the endpoint is at x=1. Only 1 equation, D, has this in the piecewise function. To confirm it is D, you can see that 1<x<4 is also in the piecewise function, and all the values line up with their corresponding y-values.
Hope this helps! :)