How many 11-card hands are possible with a 20-card deck?
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
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Hi can anyone help me with this much appreciate j
For the given arena's tickets sales , the round of figure of all the sales to the nearest thousand is given by :
Events Nearest thousand
Dart Domination cup : $169,000Boadicea's basketball league : $40,000The Rub-a-Dub Club Reggae band : $215,000Agent Green : $65,000Britney Pitchfork : $224,000Sunshine Droops : $111,000
As given in the question,
Rules to round of nearest thousand are:
Check the near by hundred digit :
If the hundred digit is 5 or more than 5 than round up that is write next digit. If the hundred digit is less than 5 than round down.Given is the actual ticket rates of the different events tickets sales ,round off to the nearest thousand is given by:
Events Nearest thousand
Dart Domination cup : $169,000Boadicea's basketball league : $40,000The Rub-a-Dub Club Reggae band : $215,000Agent Green : $65,000Britney Pitchfork : $224,000Sunshine Droops : $111,000
Therefore, For the given arena's tickets sales , the round of figure of all the sales to the nearest thousand is given by :
Events Nearest thousand
Dart Domination cup : $169,000Boadicea's basketball league : $40,000The Rub-a-Dub Club Reggae band : $215,000Agent Green : $65,000Britney Pitchfork : $224,000Sunshine Droops : $111,000
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giving brainliest if correct!
There are 8 sprinters in the Olympic 100-meter finals. The gold medal goes to first place, silver to second, and bronze to third. In how many ways can the medals be awarded?
Answer:
I think it is 336 ways the medals can be given out.
Step-by-step explanation:
I just need to pick 1 answer and I don’t need to explain pls help me with this answer
Determine when the function is positive, negative, increasing, or decreasing.
Then describe the end behavior of the function.
The function is positive and increasing from 0 to 2.5, at negative and decreasing from 0 to -2.5, respectively.
How to find returns to scale?
Returns to scale involves an increase in an output more than when all the inputs increase proportionately.
Using the graph, there is a line segment from the origin to a point. at the middle of the third block making 2.5.
This shows an increase which is positive and on the other hand, there is a line segment from the origin towards left hand side on the number line showing a decrease and a negative from 0 to -2.5.
In conclusion, the line pointing upwards towards right hand side shows both positive and increase while the line pointing leftward shows decrease and negative.
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In ΔOPQ, PQ = 17, QO = 9, and OP = 15. Which statement about the angles of ΔOPQ must be true?
Answer:
All angles are different.
Internal angles can be acute, obtuse, or right angle.
The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.
Step-by-step explanation:
Given - In ΔOPQ, PQ = 17, QO = 9, and OP = 15.
To find - Which statement about the angles of ΔOPQ must be true?
Proof -
As given,
In ΔOPQ, PQ = 17, QO = 9, and OP = 15.
As all the sides of the given triangle is different, So the given triangle is a Scalene triangle.
Now,
We know that , In Scalene triangle -
All sides are different.
All angles are different.
Internal angles can be acute, obtuse, or right angle.
The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.
Smallest angle: ∠P
Opposite shortest side.
Middle angle: ∠O
Opposite middle side.
Largest angle: ∠Q
Opposite longest side.
Therefore:
m∠P<m∠O<m∠Q
Less than symbol goes from smallest to largest
Here's a better Explanation!!!!!!
You have $50 in your bank account. Each week you plan to deposit $8 from your allowance and $20 from your paycheck. The equation b=50+(20+8)w gives the amount b in your account after w weeks. How many weeks from now will you have $210 in your bank account?
If you have $50 in your bank account and each week you plan to deposit $8 from your allowance and $20 from your paycheck. The number of weeks from now that you will have $210 in your bank account is: 5.71w.
Number of weeksThe given equation is:
b=50+(20+8)w
Where:
b is the amount in your account after w weeks.
w = Number of week
Hence,
b = 50+(20+8)w
b = 50+28w
b-50 = 28w
(b-$50)/28 = w
(210-$50)/28 = w
160/28 = w
5.71 = w
Therefore we can conclude that you will have the amount of $210 in your account in 5.71 weeks.
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Edie is trying to decide which printing service to use to publish her neighborhood newsletter . The first printer charges a $5.00 fee plus $ 0.25 per full color page, while the second charges a $10 fee plus $0.20 per full color page . Over what range of pages will Edie pay less by using the first printer ? A. Less than 100 pages B. More than 100 pages C. Less than 50 pages D. More than 50 pages E. More than 100 pages but less than 200 pages
Answer:
A) less than 100 pages
Step-by-step explanation:
p = # pages
Printer 1:
y = .25p + 5
Printer 2:
y = .20p + 10
.25p + 5 < .20p + 10
.05p + 5 < 10
.05p < 5
p < 5/.05
p < 100
what is the area of the shaded area. Round to the nearest whole unit.
please help!!!
Answer:
69.53 or 70(depending on rounding)
Step-by-step explanation:
The squares area is (9*2)^2 which is 324.
The circles area is 9^2 pi or 254.47 approx.
Subtract and you get 69.53 or 70
160 is what % of the sum of 100 and 120 and 160
Answer:
42% I think
Step-by-step explanation:
The total was 380 so divide 160 by 380 (160÷380) and you get .42 or 42%
Answer:
42.1%
Step-by-step explanation:
100+120+160=380
so 160=p*380/100
p=160*100/380≈42.1
if $450 is invested for one year at 14% simple interest, how much interest is earned?
The simple interest is $ ___ ?
Answer:
63
Step-by-step explanation:
450 × 14 ÷ 100 = $63
hope this helps
Answer:
i think is 63
Step-by-step explanation:
If a = b + c and c ___ 0, then a > b.
Choose the relationship symbol that makes a true statement.
=
<
>
To make the expression If a = b + c and c ___ 0, then a > b right, c will be c > 0.
What exactly are expressions?
In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, *, /, and ^) that represents a quantity or a relationship between quantities. It can be number, variable, or combination of both.
Expressions are used to represent mathematical operations, formulas, and relationships. They can be simple or complex, and they can be evaluated or simplified using mathematical rules and operations.
Now,
The correct relationship symbol that makes the statement true is ">" (greater than).
If a = b + c and c > 0, then a will always be greater than b. This is because adding a positive value (c) to b will increase the result (a) above the value of b.
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4. Find the value of the missing angle (x).*
B
20
F
300
E
G
D
NOTE: Angles not necessarily drawn to scale.
Your answer
Answer:
hey, angle x:
it's 60 degree
help ME PLS
WILL MARK BRAINLIEST
Answer:
62b+27nb-12n-12
Step-by-step explanation:
u gotta combine like terms
Answer:
-0.7 .................
NO LINKS!!
1. Is it possible for the sequence t(n) = 5·2ⁿ to have a term with the value of 200? If so, which term is it? If not, justify why not.
2. Is it possible for the function f(x) = 5·2ˣ to have an output of 200? If so, what input gives this output? If not, justify why not.
Answer:
1) No,2) Yes, x ≈ 5.32-----------------------------
Part 1Given sequence:
t(n) = 5 · 2ⁿIf t(n) = 200, we can try to find the value of n:
5 · 2ⁿ = 2002ⁿ = 40There is no integer solution, since 32 < 40 < 64 or 2⁵ < 40 < 2⁶, the value of n should be between 5 and 6.
The sequence should include integer numbers, so there is no solution.
Part 2Given function:
f(x) = 5 · 2ˣSolve for x if f(x) is 200:
5 · 2ˣ = 2002ˣ = 40log 2ˣ = log 40x log 2 = log 40x = log 40 / log 2x = 5.32 (rounded)Answer:
1. No
\(\textsf{2.} \quad x=\dfrac{\ln 40}{\ln 2} \approx5.32\;(\sf 2\;d.p.)\)
Step-by-step explanation:
Question 1Given sequence:
\(t(n)=5 \cdot 2^n\)
To determine if the sequence has a term with a value of 200, substitute t(n)=200 into the equation and solve for n:
\(\implies 5 \cdot 2^n=200\)
\(\implies 2^n=40\)
\(\implies \ln 2^n=\ln 40\)
\(\implies n\ln 2=\ln 40\)
\(\implies n=\dfrac{\ln 40}{\ln 2}\)
\(\implies n=5.3219280...\)
In a sequence, n is a positive integer. Therefore, it is not possible for the sequence to have a term with the value of 200, as when t(n)=200, n is not a positive integer.
Question 2Given function:
\(f(x)=5 \cdot 2^x\)
To determine if the function has an output of 200, substitute f(x)=200 into the function and solve for x:
\(\implies 5 \cdot 2^x=200\)
\(\implies 2^x=40\)
\(\implies \ln 2^x=\ln 40\)
\(\implies x=\dfrac{\ln 40}{\ln 2}\)
\(\implies x=5.3219280...\)
Therefore, it is possible for the function to have an output of 200 when:
\(x=\dfrac{\ln 40}{\ln 2}\)
A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint. What is the constant of proportionality?
Answer:
Task 2:
A certain shade of pink is created by adding 3 cups of red paint to 7 cups of
white paint.
a. How many cups of red paint should be added to 1 cup of white paint?
cups of white
paint
cups of red
paint
1
7
b. What is the constant of proportionality?
WHATS THE ANSWER?? answer ASAP NO FILE AT ALL
Answer:
A
Step-by-step explanation:
Answer:
it is A because the shape is the same and is just facing a different way
Step-by-step explanation:
PLEASE WRITE THE EQUATION THAT IS WHAT IT IS ASKING!! THE EQUATION IS IN SLOPE INTERCEPT FORM!!
Answer:
y = -3x-5
Step-by-step explanation:
What point is shown on the number line below?
Answer:
-2 1/10
Or -2.1
Step-by-step explanation:
Answer:
-2.1
Step-by-step explanation:
The bars in between your numbers shown says how many numbers theyre are between the negative numbers so all you need to do is find out which point or number it is on which is -2.1!
A hat contains 35 marbles. Of them, 20 are red and 15 are green. If one marble is randomly selected out of this hat, what is the probability that this marble is red? Round your answer to two decimal places. P(A) =
Answer:
P(A) = 0.57 (rounded to two decimal places).
Step-by-step explanation:
The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:
P(red) = number of red marbles / total number of marbles
P(red) = 20/35
We can simplify this fraction by dividing both the numerator and denominator by 5:
P(red) = 4/7
So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.
Therefore, P(A) = 0.57 (rounded to two decimal places).
An item costs $34 it has a sales tax
rate of 5%. What is the amount of
sales tax for that item?
tax
0.00
+/-
Answer:
$1.70
Step-by-step explanation:
34 x 0.05 = 1.70
$1.70 is the tax
Write an equation in slope-intercept form for the line between (2,7) and (6, 19)
Answer:
Step-by-step explanation:
(19 - 7)/(6 - 2) = 12/4= 3
y - 7 = 3(x - 2)
y - 7 = 3x - 6
y = 3x + 1
Sebastian is 3 years older than twice Amy's age. Sebastian is 33 years old. How old is Amy?
Answer:
15 years old
Step-by-step explanation:
You would have to create a equation. 2x+3=33, 2x=30, x=15.
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 39 beats per minute, the mean of the listed pulse rates is x=76.0 beats per minute, and their standard deviation is s=13.8 beats per minute. a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 39 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 39 beats per minute significant
Answer:
a) The difference is of -37, that is, this pulse rate is 37 beats per minute below the mean.
b) 2.68 standard deviations below the mean.
c) Z = -2.68.
d) Z-score below -2, so a pulse rate of 39 beats per minute is significantly low.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the females?
Difference between 39 and 76, so 39 - 76 = -37.
The difference is of -37, that is, this pulse rate is 37 beats per minute below the mean.
b. How many standard deviations is that [the difference found in part (a)]
Standard deviation of 13.8, so:
-37/13.8 = -2.68
So 2.68 standard deviations below the mean.
c. Convert the pulse rate of 39 beats per minutes to a z score.
2.68 standard deviations below the mean, so Z = -2.68.
d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 39 beats per minute significant?
Z-score below -2, so a pulse rate of 39 beats per minute is significantly low.
A bowl weighs 11/40 lb. Express this as a decimal. Use pencil and paper. Explain how you can find the decimal by thinking of the denominator as a 4 and then using mental math.
Answer:
0.275 thats the answer no cap
Step-by-step explanation:
The decimal form of the given fraction is 0.275 lb.
Given that, a bowl weighs 11/40 lb.
We need to express the given fraction in decimals.
How to convert the fraction into a decimal?When a number is present in a fraction form i.e., p/q, we use the long division method to convert it into a decimal form. In such a case we divide the numerator by the denominator. Let us understand the steps involved in fraction to decimal conversion by the long division method with the help of an example.
Now, the fraction 11/40 can be written in decimal as 11/40=0.275 lb
Therefore, the decimal form of the given fraction is 0.275 lb.
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If sin x=0.2, write down the values for sin (pi-x)
If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.
Given that,
the value of sin x = 0.2
We have to find the value of sin(π - x).
We know the trigonometric rule that,
sin(π - x) = sin (x)
for any value of x.
So here whatever the value of x, the value of sin(π - x) is sin (x) itself.
So here sin x = 0.2.
So, by the rule,
sin(π - x) = sin (x) = 0.2
Hence the value is 0.2.
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Use decomposition to find the area of the figure.
10 yd
8 yd
The area is
13 yd
square yards.
Answer:
The area is 92 square yards.
Step-by-step explanation:
We can decompose this figure into a rectangle and a triangle.
First, we can find the area of the rectangle.
A(rect) = length × width
A(rect) = 10 × 8
A(rect) = 80 yd²
Next, we can find the area of the triangle.
A(triangle) = (1/2) × base × height
\(A(\text{triangle}) = \dfrac{1}{2} \, (13 - 10) \times 8\)
\(A(\text{triangle}) = \dfrac{3}{2} \times 8\)
\(A(\text{triangle}) = 12 \text{ yd}^2\)
Finally, we can add the two shapes' areas to get the area of the entire figure.
A = A(rect) + A(triangle)
A = 80 yd² + 12 yd²
A = 92 yd²
Answer: 92 yd²
Step-by-step explanation:
Decomposition means to break the shape into parts, but it's not necessary to break apart.
This is a trapezoid turned sideways A=1/2(b1+b1)h
b1=10
b2=13
h=8
A=1/2(10+13)8 =92 yd²
if you decompose, you can make the top a triangle and bottom a rectangle.
A(triangle) = 1/2(b)(h) b=3 h=8
1/2(b)(h)
= 12
A(rectangle)=bh b=10 h=8
=10*8
=80
Add the 2 and you get 92 again
El producto de un número y 56
Answer:
x+56
Step-by-step explanation:
The product of two numbers is the result you get when you multiply them together. And refers to addition.
Let f(x)= 6x^2+7x-4. Find:
a) f(3)
b) f(m)
c) f(x+1)
SHOW WORK PLEASE.
Answer: b) f(m)
Step-by-step explanation:
Please help me I need to turn in tomorrow
Answer:
Answer: B. 5
Step-by-step explanation:
Combination
It's a selection of items from a collection, such that the order of selection does not matter.
It can be calculated by using factorials with the formula:
\(\displaystyle _mC_n=\frac{m!}{(m-n)!\ n!}\)
Let's calculate:
\(\displaystyle _5C_1=\frac{5!}{(5-1)!\ 1!}\)
\(\displaystyle _5C_1=\frac{5!}{(4)!\ 1!}\)
Since 5!=5*4! and 1!=1:
\(\displaystyle _5C_1=\frac{5*4!}{(4)!\ 1!}\)
Simplifying:
\(\displaystyle _5C_1=\frac{5}{1}=5\)
Answer: B. 5