There 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.
What is Permutations?A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.
Here, total number of cards = 52
Number of Withdrawn cards = 3
Possibilities of different sequences of 3 playing cards = 52 X 51 X 50
= 132600
Thus, there 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.
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Answer:
132,600
Step-by-step explanation:
To determine the number of different sequences of 3 playing cards from a 52-card deck, we can use the formula for permutations, which is given by:
P(n, k) = n! / (n-k)!
Where n is the total number of items (in this case, the number of cards in the deck) and k is the number of items chosen (in this case, 3 cards).
Plugging in the values:
n = 52 (total number of cards in the deck)
k = 3 (number of cards chosen)
P(52, 3) = 52! / (52-3)!
Calculating the factorial terms:
52! = 52 x 51 x 50 x ... x 3 x 2 x 1
(52-3)! = 49! = 49 x 48 x ... x 3 x 2 x 1
Simplifying the equation:
P(52, 3) = 52 x 51 x 50
P(52, 3) = 132,600
Therefore, there are 132,600 different sequences of 3 playing cards that can be formed from a single 52-card deck.
A family purchases a Light sphere to be used out on their patio. The diameter of the sphere is 20 inches. What is the volume of the light sphere? Use 3.14 for pi. Enter your answer as a decimal and round only your final answer to the nearest hundredth.
Two people had different answers but had 5 stars. So can someone explain how to solve this question correctly. Thank you in advance
Answer:
The answer is 4188.79 ft^3.
Step-by-step explanation:
The formula is V=4/3πr^3. The radius is 10, turning that into V=4/3π10^3. 10^3 is 1000, and 1000 times 4/3 is 1333.33. 1333.33 times 3.14 (or π) is equal to 4188.79 ft ^3 rounded to the nearest 100th. I hope this helps! :)
Question Help
Reasoning A cone with radius 6 and height 9 has its radius quadrupled. How many times greater is the
volume of the larger cone than the smaller cone?l
Let's see
For initial cone
r=6h=9Volume
1/3πr²h1/3π(6)²(9)3(36)π108π units³For new cone
r=4(6)=24h=9Volume
1/3π(24)²(9)3(576)π1728πSo
1728π/108π16timesAnswer:
16 times
Step-by-step explanation:
[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
If only the radius is changed, the change in volume will be proportionate to the multiplicative factor squared.
[tex]\sf \implies Volume =\dfrac{1}{3} \pi (ar)^2h=\dfrac{1}{3} \pi (a^2)r^2h[/tex]
Therefore, if the cone is quadrupled (multiplied by 4), the volume of the larger cone will be 4² times greater than the volume of the smaller cone, so 16 times greater than the smaller cone.
ProofGiven:
radius = 6height = 9Substituting the given values into the formula:
[tex]\sf \implies Volume =\dfrac{1}{3} \pi (6)^2(9)=108 \pi \: \:cubic\:units[/tex]
If the radius is quadrupled:
radius = 6 × 4 = 24height = 9Substituting the new given values into the formula:
[tex]\sf \implies Volume =\dfrac{1}{3} \pi (24)^2(9)=1728 \pi \: \:cubic\:units[/tex]
To find the number of times greater the volume of the large cone is than the volume of the smaller cone, divide their volumes:
[tex]\sf \implies \dfrac{V_{large}}{V_{small}}=\dfrac{1728\pi}{108\pi}=16[/tex]
So the volume of the larger cone is 16 times greater than the volume of the smaller cone.
Which is the solution set of the compound inequality 3.5 x minus 10 greater-than negative 3 and 8 x minus 9 less-than 39 negative 2 less-than x less-than 3 and three-quarters negative 2 less-than x less-than 6 2 less-than x less-than 6 2 less-than x less-than 3 and three-quarters
Answer:
The solution for the compound inequality is x \in(2,6)
Step-by-step explanation:
To find the solution set for these compound inequalities, we need to solve the inequality.
First, we shall solve the inequality
Adding both sides of the equation by 10, we have,
Dividing both sides by 3.5, we get,
Now, we shall solve the inequality ,
Adding both sides of the equation by 9, we have,
Dividing both sides by 8, we get,
The solution inequality for the given set of compound inequality 3.5x - 10 > - 3 & 8x - 9 < 39 is 2 < x < 6.
What is the general equation of a Straight line inequality?
The general equation of a straight line inequalities are -
[y] < [m]x + [c]
[y] > [m]x + [c]
[y] ≥ [m]x + [c]
[y] ≤ [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the following compound inequality -
3.5x - 10 > - 3
8x - 9 < 39
We have -
3.5x - 10 > - 3
8x - 9 < 39
3.5x - 10 > - 3
3.5x > 7
x > 2
AND
8x - 9 < 39
8x < 48
x < 6
Solution inequality -
2 < x < 6
Therefore, the solution inequality for the given set of compound inequality 3.5x - 10 > - 3 & 8x - 9 < 39 is 2 < x < 6.
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B
5 in.
a.
(6.257 25) in.
-
b. (6.25π – 12.5√2)in.²
d.
Find the value of x and y rounded to the nearest tenth.
C.
(6.25π- 12.5) in.2
none of these
Answer:
Step-by-step explanation:
5 in.
a.
(6.257 25) in.
-
b. (6.25π – 12.5√2)in.²
d.
Find the value of x and y rounded to the nearest tenth.
C.
(6.25π- 12.5) in.2
The speed of light is roughly 186,000 miles per second. How many minutes does it take for light to arrive from the sun, which is 93,000,000 miles away?
Answer:
8.3 minutes
Step-by-step explanation:
93,000,000 m/186,000 m/s = 500 s
500/60 = 8.333333
Hello Brainly, The Question is Find the Area of this Parallelogram. Please Help! Thank You!
Answer:
24 ft sq
Step-by-step explanation:
find area of triangles
6×4=24
24/2=12
add areas together
12+12=24
If a is real and the product of (a+6i)(5-3i) is a real number, the find a.
PLS HELP ASAP WILL MARK BRAINLIEST
Answer:
5a−3ai+30i+18
Step-by-step explanation:
i just did this
The table shows the solution to the equation |2x - 3| -1 = 2:
Step 1
|2x - 3|= 2 + 1
Step 2
|2x - 3|= 3
Step 3
2x - 3= 3 or 2x + 3 = 3
Step 4
2x = 6 or 2x = 0
Step 5
x = 3 or x = 0
Which is the first incorrect step?
The first incorrect step is step 2 because this step did not take the two signs positive and negative.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a linear equation in a mod function;
|2x - 3| - 1 = 2
Step 1:
|2x - 3| = 3
Step 2:
2x - 3 = 3 or 2x - 3 = -3
(after removing mod, we get two same values but opposite in sign)
The first incorrect step is step 2 in which did not take the two sign,
2x - 3= 3 or 2x + 3 = 3 (wrong)
Thus, the first incorrect step is step 2 because this step did not take the two signs positive and negative.
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Anton is drawing a flag of switzerland, which has a square shape, for a school project. if he wants the flag to have sides that are 16 inches long, what will be the area of the completed flag? 64 inches squared 128 inches squared 256 inches squared 512 inches squared
Considering the side length, the area of the complete square flag will be of 256 inches squared.
What is the area of a square?The area of a square of side length l is given by l squared, that is:
A(l) = l².
In this problem, we have that l = 16 inches, hence the area in square inches is given by:
A(16) = 16² = 256.
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Which of the following situations can be defined using an exponential function?
A The value of the stocks decreased by $100 last year.
B The number of bacteria decreases by 7% each hour.
C The number of bacteria increases by 700 each hours.
D The value of the stocks increases by $10 every year you own them.
The situation which can be defined using an exponential function is "The number of bacteria decreases by 7% each hour".
What is an exponential function?An exponential function is used to represent a situation in which values of an event do not increase at a constant or linear rate.
From the above,
The value of the stocks decreased by $100 last year is a linear function.The number of bacteria increases by 700 each hour is a linear function.The value of the stocks increases by $10 every year you own them is a linear function.Learn more about exponential function:
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What is it help pleaseee
Answer:
25.13cm
Step-by-step explanation:
formula for circumference of a circle is (2r)π with r being the radius
since the problem gave us the diameter already we can change the formula to 8π (2r is equal to the diameter since diameter is twice as long as the radius)
this gives us the circumference of 25.13
Solve 2x+6 ≤ 10 or 2x + 8 > 20.
A. x ≤2 or x>6
OB. x < 1 or x > 2
OC. x ≤ 1 or x > 6
OD.
2 and x > 2
Answer:
A. x ≤2 or x>6Step-by-step explanation:
2x+6 ≤ 10 or 2x + 8 > 20
⇔ 2x ≤ 4 or 2x > 12
⇔ x ≤ 2 or x > 6
if three times a certain number is increased by 4 the result is 28
Answer:
The number is 8
Step-by-step explanation:
Let x be the number
3x+4 = 28
Subtract4 from each side
3x+4-4 = 28-4
3x= 24
Divide by 3
3x/3 =24/3
x = 8
f(x) = x g(x) = 1
What is the domain of ( g/f ) (x)?
Answer:
Step-by-step explanation:
First one- x=0
Second=All real numbers
Which equation is represented by the graph below?
Answer:
1
Step-by-step explanation:
this is becasue the slope is positive
O is the center of the regular octagon below. Find its area. Round to the nearest tenth
if necessary.
Answer:229.1
Step-by-step explanation: to much work I thought to hard that’s the answer your welcome buddy
A rental car company charges $77.50 per day to rent a car and $0.10 for every mile driven. Sydney wants to rent a car, knowing that:
She plans to drive 275 miles.
She has at most $260 to spend.
Write and solve an inequality which can be used to determine xx, the number of days Sydney can afford to rent while staying within her budget.
The number of days that Sydney can afford to rent while staying within her budget is 3 days.
How many days can Sydney afford to rent?Total budget ≤ (total number of days x cost per day) + (cost per mile x total mile)
$260 ≤ $77.50xx + ($0.10 x 275)
$260 ≤ $77.50xx + 27.50
$260 - 27.50 ≤ $77.50xx
232.50 ≤ $77.50xx
xx ≤ 232.50 / $77.50
xx ≤ 3
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if 7544644555- x is 45000 whats the value of x
Answer:
Step-by-step explanation:
45000+7544644555=x
x=7544689555
Answer:
x = 7544599555
Step-by-step explanation:
First let's make an equation :
7544644555 - x = 45000
Now to make x the subject and positive :
We add x to both sides :
7544644555 = 45000 + x
Now we subtract 45000 from both sides :
7544644555 - 45000 = x
x = 7544599555
Hope this helped and brainliest please
how many Years are in 1,000
The number of years in 1000 days is = 2 . 74 years .
How many Years are in 1,000 day?Division is the arithmetic operation that is used to determine the quotient of a number. Division parts a number into equal parts with another number.
Number of years in 100 days = 1000 / 365
= 2 . 74 years
Here is the complete question:
how many Years are in 1,000 days
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Ida's ice-cream stand has increasing profits each week during the hot summer months. Ida finds that each week during the summer her profits increase by 15% over what they were the previous week. In her first week of business, her profits were $600.How much money will she make in all over 5 weeks
Answer:
4045.43
Step-by-step explanation:
Question:
A circular frame has a diameter of 10 inches. Identify the area of the mirror that the frame
can hold. Use 3.14 for TT.
The frame can hold a mirror with an area of 78.5 in².
How to find the area?
The area for a circle of diameter D is given by the formula:
[tex]A = pi*(D/2)^2[/tex]
Where pi = 3.14
Here we know that the diameter is 10 inches, replacing that in the area equation we can get:
[tex]A = 3.14*(10in/2)^2 = 3.14(5in)^2 = 78.5 in^2[/tex]
So the frame can hold a mirror with an area of 78.5 in².
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2/3 - 5/4 + 7/3 whats the4 answer pls
Answer:
7/4Step-by-step explanation:
2/3 - 5/4 + 7/3
=8/12 - 15/12 + 28/12 (LCM=12)
(8 - 15 + 28)/12
=21/12
=7/4
−6×(−8)= what is the answers
Answer:
48
Step-by-step explanation:
when you multiply a negative times a negative (or divide a negative by a negative), it equals a positive!
-6 times -8 will equal 48!
let me know if you have any questions :)
The scatter plot below shows the number of enrollments, N, in a sports club, t years after the year 2005.
The equation of the line of best fit is
N = 62t + 35.
What does the why intercept of the line of best fit represent?
A. The number of enrollments in the year 2006 were 97
B. The number of enrollments in the year 2005 were 35
C. Each year the number of enrollments increases by 35
D. Each year the number of enrollments increases by 62
Find the value of x.
Answer:
125 minus 81 will give me 34°
Answer:
x = 44°
Step-by-step explanation:
｡◕‿◕｡｡◕‿◕｡｡◕‿◕｡
he triangles below are similar. Triangle Y X Z. Side Y X is 6 centimeters, X Z is 7 centimeters, and Z Y is 3 centimeters. Triangle A B C. Side A C is 14 centimeters, A B is 12 centimeters, and B C is 6 centimeters. Which similarity statement expresses the relationship between the two triangles? Triangle Z Y X is similar to triangle C A B Triangle Z Y X is similar to triangle A C B Triangle Z Y X is similar to triangle C B A Triangle Z Y X is similar to triangle A B C
And
AB=12BC=6AC=14Check
AB/YX=BC/ZY=AC/XZ12/6=6/3=14/72=2=2Hence
ABC=XYZOr
ZYX≈CBAOption C
Fill out the chart please!
The dot plot and the box plot shown both represent Manuel’s data. Determine which visual display is more useful for answering each of the questions listed in the table, and explain your reasons.
1. Mean of the data: 8
2. Median: 8
3. IQR = 4
4. Members that use the facility 10 days a month is: 2.
See reasons below.
What is the Mean, Median, and Interquartile Range of a Data?Mean = sum of all values ÷ number of data values (easily solved using a dot plot
Median = middle value (easily found using a box plot).
Interquartile range (IQR) = Q3 - Q1 (easily found using a box plot).
1. Mean of the data: use the dot plot.
Reasoning: (3 + 3 + 5 + 6 + 6 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 11 + 12 + 14)/15 = 8
2. Median of the data set: Using the box plot, it is the value indicated by the vertical line that divides the box.
Median = 8
3. IQR = Q3 - Q1 = 10 - 6
IQR = 4
4. Members that use the facility 10 days a month, using the dot plot is: 2. 10 has 2 dots.
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Part a
describe the process you could use to find the probability that jake will earn at least 30 points on a throw, given that he hits the target? note: assume that it is equally likely that he will hit any region in the target.
The probability that Jake will earn at least 30 points on a throw is 0.335
How to describe the process?The attached image represents the missing part of the question.
From the attached image, we can see that:
For Jake to earn at least point, he must hit the three circles (starting from the inner circle)
The radius of the yellow circle is:
Radius = 3
While the width of the other circles is:
Width = 4
The total area of the sections that give a point of at least 30 is:
A₁ = π * (3 + 4 + 4)² = 121π
The total area of all the sections is:
A₂ = π * (3 + 4 + 4 + 4 + 4)² = 361π
The probability of getting at least 30 points is:
P(At least 30) = 121π/361π
Evaluate
P(At least 30) = 0.335
Hence, the probability that Jake will earn at least 30 points on a throw is 0.335
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Evaluate
4(x+5)(x+1)
(x+3)(x-3)
for x = 5.
Answer:
3840
Step-by-step explanation:
Given expression:
4(x+5)(x+1)(x+3)(x - 3)
To:
Evaluate the expression ; for x = 5.
Solution:
4(x+5)(x+1)(x+3)(x - 3)Evaluate x = 5 :
4(5+5)(5+1)(5+3)(5 - 3)Simplify using PEMDAS rule:
P : Parentheses
E : Exponents
M : Multiplication
D : Division
A : Addition
S : Subtraction
(4)(10)(5+1)(5+3)(5−3)40(5+1)(5+3)(5−3)(40)(6)(5+3)(5−3)(240(5+3)(5−3)(240)(8)(5−3)1920(5−3)(1920)(2)3840Hence, after evaluating the given expression for x = 5 , the answer'll be 3840.
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to evaluate
[tex]\large\pmb{4(x+5)(x+1)(x+3)(x-3)}[/tex] for x=5.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Use PEMDAS. With the help of this acronym, we will not make any mistakes in the Order of Operations!Here's what PEMDAS stands for:
P=Parentheses
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
So, let's start computing...
///\\\///\\\///\\\///\\\///\\\////\\\///\\\///\\\///\\\///\\//\\\///\\\///\\\///\\\\///\\\\///\\\///\\\///\
Evaluating the expression
First, substitute 5 for x:
[tex]\star~\large\pmb{4(5+5)(5+1)(5+3)(5-3)}[/tex]
Now, use the Order of Operations.
The first operation here is:
[tex]\dag[/tex] P=Parentheses
So we need to perform the operations inside the parentheses first:
[tex]\star~\large\pmb{4(10)(6)(8)(2)}[/tex]
The next operation is multiplication, since we don't have any exponents here:
[tex]\star~\large\pmb{40\times6\times8\times2}[/tex]
Multiply!
[tex]\star~\Large\pmb{3840}~~\square\!\!\!\!\!\checkmark[/tex]
That's the value of the expression 4(x+5)(x+1)(x+3)(x-3) for x=5.
Hope it helps you out! :D
Ask in comments if any queries arise.
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Pls help I literally have no clue what this means
Find the missing number based on the description
below:
“12 less than 7 times a number is the same as 32 less than the product of -3 and the number”
A.-5
B.10
C.-2
D.-1
Answer:
I think the answer is c -2
Step-by-step explanation:
but don't quote me on that and if it's wrong i truly am sorry
Answer:
Step-by-step explanation: