a store will give 3 baseball cards to each of 5 kids. there are a total of 40 cards and they are all different. the store will give 3 cards to each kid and keep the remaining 25 cards. how many ways are there to distribute the cards?
Answers
(40-15)! / 40! this the number of ways that cards can be distributed to each child.
To distribute the 3 baseball cards to each of the 5 kids from a total of 40 different cards, you'll first need to determine the total number of cards being given out and the number of combinations for each child.
Since each kid gets 3 cards, there will be a total of 3 * 5 = 15 cards given out, leaving 25 cards for the store.
Now, let's calculate the ways to distribute the cards to each kid. For the first kid, there are 40 cards to choose from, so there are 40 choose 3 (denoted as C(40,3)) ways to select the cards. Similarly, for the second kid, there are 37 remaining cards to choose from, so there are C(37,3) ways. Following the same logic, we have C(34,3) ways for the third kid, C(31,3) ways for the fourth kid, and C(28,3) ways for the fifth kid.
To determine the total number of ways to distribute the cards, you'll need to multiply the combinations for each kid together: C(40,3) * C(37,3) * C(34,3) * C(31,3) * C(28,3). This will give you the total number of ways to distribute the 15 cards among the 5 kids while keeping the remaining 25 cards in the store.
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Related Questions
The following graph shows how many gallons of water leaves a bucket every hour.
- right the slope intercept equation. Find the constant rate of change and the vertical intercept of the line. Explain how they are related to this situation
Answers
Answer:
thanks for your points and the time
If LO ≅LM and OP ≅ PM , then a correct conclusion would be:
ΔLMP ≅ ΔLOP by AAA.
ΔLMP ≅ ΔLOP by SSA.
ΔLMP ≅ ΔLOP by SSS.
None of these choices are correct.
Answers
Answer:
Step-by-step explanation:
None of these Choices are correct..
Nicole bought a bag containing assorted hard candies from the local corner store. They were on clearance and she got a good deal. All the candies are the same size and shape but they are different colors and flavors. There are two blue ones, four red ones, six purple ones, fourteen green ones, and ten orange ones. If the bag is shaken really well to mix the candy in the bag, what is the probability ( as a fraction) that the first candy she pulls out of the bag will not be green?
Answers
Answer:
P = \(\frac{1}{2}\)
Step-by-step explanation:
2 blue
4 red
6 purple
14 green
There are 26 candies overall.
\(\frac{2+4+6}{24} =\)
\(\frac{12}{24} =\)
\(\frac{1}{2}\)
The probability of her not pulling a green candy is \(\frac{1}{2}\) chance
students test scores in an applied statistics courses are normally distributed with a mean of 70 and standard deviation of 10. what percent of the data falls below 40?
Answers
Percents of student failed in the test is 15.87%
Final grades are distributed normally.
Assuming mean, which is = 70
Provided that the standard deviation is 10,
Standard score or z-score refers to the normal random variable in a standard normal distribution. The following equation can convert each normal random variable X into a z score:
z=(X−μ)/σ
If X is a normal random variable, represents its mean, and represents its standard deviation.
For X=60 Z=(60−70)/10=−1
P(X<60)=P(Z<−1) \s =0.1587
Hence, 15.87% of pupils failed the test.
By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.
Mean is equal to (Sum of All Observations/Total Observations).
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A radioactive substance decays exponentially. A scientist begins with 160 milligrams of a radioactive substance. After 12 hours, 80 mg of the substance remains. How many milligrams will remain after 19 hours?
Answers
After 19 hours, approximately 53.36 milligrams of the radioactive substance will remain.
To find out how many milligrams of the radioactive substance will remain after 19 hours, we need to use the exponential decay formula: \(N(t) = N(0) (e)^{-λt}\)
Where:
N(t) = amount of substance remaining at time t
N0 = initial amount of substance (160 mg)
e = base of natural logarithm (approximately 2.718)
λ = decay constant
t = time in hours
-First, we need to find the decay constant (λ). We know that after 12 hours, 80 mg of the substance remains:
\(80 = 160 e^{(-λ (12))}\)
-Divide by 160: \(0.5 = e^{(-λ (12))}\)
-Take the natural logarithm of both sides: \(ln(0.5) = 12 (-λ)\)
-Now, find λ: λ = \(λ = \frac{-ln(0.5)}{12}= 0.0578\)
Next, we need to find the amount of substance remaining after 19 hours:
\(N(19) = 160 e^{(-0.0578)(19))}\)
\(N(19) = 160 e^{(-1.0928)} = 160(0.3335)\)
N(19) = 53.36 mg
So, after 19 hours, approximately 53.36 milligrams of the radioactive substance will remain.
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10. Set up and evaluate the definite integral for the area of the surface generated by revolving the curve a) (3 pts.)y= 6x 3+ 2x1 ,1≤x≤2, about the x-axis; b) (3 pts.) x= 4y−1,1≤y≤4, about the y-axis.
Answers
The definite integral for the area of the surface generated by revolving the curve y = 6x^3 + 2x about the x-axis, over the interval 1 ≤ x ≤ 2, can be set up and evaluated as follows:
∫[1 to 2] 2πy √(1 + (dy/dx)^2) dx
To calculate dy/dx, we differentiate the given equation:
dy/dx = 18x^2 + 2
Substituting this back into the integral, we have:
∫[1 to 2] 2π(6x^3 + 2x) √(1 + (18x^2 + 2)^2) dx
Evaluating this definite integral will provide the surface area generated by revolving the curve about the x-axis.
b) The definite integral for the area of the surface generated by revolving the curve x = 4y - 1 about the y-axis, over the interval 1 ≤ y ≤ 4, can be set up and evaluated as follows:
∫[1 to 4] 2πx √(1 + (dx/dy)^2) dy
To calculate dx/dy, we differentiate the given equation:
dx/dy = 4
Substituting this back into the integral, we have:
∫[1 to 4] 2π(4y - 1) √(1 + 4^2) dy
Evaluating this definite integral will provide the surface area generated by revolving the curve about the y-axis.
By setting up and evaluating the definite integrals for the given curves, we can find the surface areas generated by revolving them about the respective axes. The integration process involves finding the appropriate differentials and applying the fundamental principles of calculus.
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show that the function f(x) = |x − 4| is not differentiable at 4.
Answers
the limit of the difference quotient as h approaches 0 from both the left and the right does not exist, since the left-hand and right-hand limits are different: -1 from the left and 1 from the right. Therefore, f(x) = |x - 4| is not differentiable at x = 4.
To show that the function f(x) = |x - 4| is not differentiable at x = 4, we need to demonstrate that the limit of the difference quotient does not exist at x = 4.
Recall that the difference quotient for a function f(x) is defined as:
[f(x + h) - f(x)] / h
where h is a small nonzero number that approaches 0.
For f(x) = |x - 4|, we have:
f(x + h) = |(x + h) - 4| = |x + h - 4|
f(x) = |x - 4|
So the difference quotient is:
[f(x + h) - f(x)] / h = [|x + h - 4| - |x - 4|] / h
Now consider what happens when we approach x = 4 from the left, i.e., as x approaches 4 from values less than 4. In this case, we have x < 4, so we can simplify the difference quotient as follows:
[f(x + h) - f(x)] / h = [|x + h - 4| - |x - 4|] / h
= [-(x + h - 4) - (-x + 4)] / h
= [-x - h + 4 + x - 4] / h
= (-h) / h
= -1
Now consider what happens when we approach x = 4 from the right, i.e., as x approaches 4 from values greater than 4. In this case, we have x > 4, so we can simplify the difference quotient as follows:
[f(x + h) - f(x)] / h = [|x + h - 4| - |x - 4|] / h
= [(x + h - 4) - (x - 4)] / h
= (h) / h
= 1
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1. Set up an integral that represents the length of the curve. Then use your calculator to find the length correct to four decimal places. x=y 2−2y,0≤y≤2
Answers
The integral that represents the length of the curve defined by the equation x = y^2 - 2y, with the interval 0 ≤ y ≤ 2, is ∫[0,2] √(1 + (dx/dy)^2) dy.
Using a calculator, the length of the curve is approximately 3.7977 units (rounded to four decimal places).
To find the length of the curve defined by the equation x = y^2 - 2y, with the interval 0 ≤ y ≤ 2, we use the arc length formula:
L = ∫[a,b] √(1 + (dx/dy)^2) dy,
where a and b are the limits of the interval, and dx/dy represents the derivative of x with respect to y.
First, we need to find dx/dy by differentiating the equation x = y^2 - 2y with respect to y:
dx/dy = 2y - 2.
Now, we can substitute this into the arc length formula:
L = ∫[0,2] √(1 + (2y - 2)^2) dy.
To evaluate this integral, we can use a calculator or software that can perform symbolic integration or numerical approximation. Using a calculator, the length of the curve is approximately 3.7977 units (rounded to four decimal places).
The integral that represents the length of the curve defined by the equation x = y^2 - 2y, with the interval 0 ≤ y ≤ 2, is ∫[0,2] √(1 + (dx/dy)^2) dy. Using a calculator, the length of the curve is approximately 3.7977 units. This calculation allows us to determine the length of the curve segment accurately.
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x- 5 is greater than 0.
Answers
Answer:
x>5
Step-by-step explanation:
5-5=0 this is wrong. 5.0002-5= is greater than zero.
A back-to-back stem-and-leaf plot showing the points scored by each player on two different basketball teams is shown below.
What is the median number of points scored for each team?
A. Median for Team 1: 15
Median for Team 2: 11
B. Median for Team 1: 12
Median for Team 2: 11
C. Median for Team 1: 18
Median for Team 2: 17
D. Median for Team 1: 15
Median for Team 2: 14
Answers
The answer to the question is option A. The median number of points scored for Team 1 is 15 and for Team 2 is 11.
To find the median number of points scored for each team from the given back-to-back stem-and-leaf plot, we need to identify the middle value of the data set for each team. The middle value is the point where half the scores are above it and half are below it.
Looking at the stem-and-leaf plot, we can see that for Team 1, the median score is 15. This is because there are 4 scores above 15 and 4 scores below it. Therefore, 15 is the middle value for Team 1.
Similarly, for Team 2, the median score is 11. This is because there are 4 scores above 11 and 4 scores below it. Therefore, 11 is the middle value for Team 2.
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A marching band sold 350 tins of popcorn for $8 each. Each tin cost the
band $4. How much money did the band make?
$ 1.400
$700
$350
$4.200
Answers
Answer:
The band made $1,400
Step-by-step explanation:
8-4=4
350*4=1,400
if you want to just give me the answer that would be fine. i just want to make sure i’m correct.
Answers
Okay, here we have this:
Considering that if the graph of the line rises from left to right, then it means that the slope is positive. On the other hand, if the graph of the line falls from left to right, the slope will be negative.
So, according with this finally we obtain that the correct answer is that the slope is negative.
Answer:
Negative
Step-by-step explanation:
Because MATH
Whats the reasoning.
Answers
Answer:
It's given
Step-by-step explanation:
I know it is hope that helps!
the length of a rectangle is the sum of the width and 3. the area of the rectangle is 28 units. what is the length, in units, of the rectangle?
Answers
Answer:
Length is 7 units
Step-by-step explanation:
width- w
L- length
W+3=L
(w)(l)=28
hopes this helps
2(4x+5) = 3x - 25 HELP
Answers
Answer:
6x(4x+5)-25
Step-by-step explanation:
Step-by-step explanation:
first distribute the 2 on the left
8x+10 = 3x-25
subtract the 3x from both sides
5x+10 = -25
subtract 10 from both sides
5x = -35
divide both sides by 5 to solve for x
x = -7
check your answer by substituting into the original equation.
2(-28+5) = -21-25
distribute
-56+10 = -21-25
solve
-46 = -46
6. Solve for the long leg and for the hypotenuse of the 30-60-90 triangle.
a
60°
10
a-10-√3 and b = 20
a-10 and b = 10-√√3
a = 20 and b = 10-√√3
a = 20 and b = 10
Answers
The length of the Hypotenuse for the given right angle triangle, is 10√5.
What is Hypotenuse?
A right-angled triangle's longest side, or the side opposite the right angle, is known as the hypotenuse in geometry. The Pythagorean theorem states that the hypotenuse's square length equals the sum of the squares of the lengths of the other two sides, and this can be used to determine the hypotenuse's length.
Let the two sides of right angle triangle are, a = 20 and b = 10.
We have to find the length of Hypotenuse.
Let x be the length of Hypotenuse.
So, by using the Pythagoras theorem,
\(a^2 + b^2 = x^2\)
Plug a = 20, b = 10
\((20)^2 + (10)^2 = x^2\\400 + 100 = x^2\\500 = x^2\\x^2 = 500\\x = 10\sqrt{5}\)
hence, the length of the Hypotenuse for the given right angle triangle, is 10√5.
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Help is appreciated!
Answers
The properties of a kite indicates;
m∠VZY = 41°m∠VXY = 41°m∠XWV = 27°m∠XDA = 58°m∠ABC = 122°m∠BCD = 26°m∠QRT = 51°m∠QPS = 110°m∠PSR = 62°x = 12°, y = 49°x = 6, y = 9What is a kite?A kite is a quadrilateral with a line of symmetry which corresponding to one of the diagonals, and in which there are two pairs of adjacent congruent sides.
1. Triangle ΔVYZ in the kite is a right triangle, therefore;
m∠VZY = 90° - 49° = 41°
2. m∠VXY = m∠VZY = 41°
Therefore, according to the angle addition postulate, we get;
m∠VXY = 104° - 41° = 63°
3. The measure of angle XWV = 90° - 63° = 27°
The measure of angle XWY, m∠XWY = 2 × 27° = 54°
4. m∠XDA = 90° - 32° = 58°
5. The corresponding angle property of similar angles indicates;
m∠ABC = m∠XDA + m∠XDC
Therefore; m∠ABC = 58° + 64° = 122°
6. m∠BCD = m∠DCX = 90° - 64° = 26°
7. m∠QRT = 90° - (m∠PQR)/2
Therefore; m∠QRT = 90° - 78°/2 = 51°
8. m∠QPS = (90° - 78°/2) + 59° = 110°
9. m∠PSR = 2 × (90° - m∠TRS)
m∠PSR = 2 × (90° - 59°) = 62°
10. The measure of the angle x is; x = 90° - 78° = 12°
The measure of the angle y is; 90° - 41° = 49°
11. The perimeter = 3·y + 3·y + (2·y - 2) + (2·y - 2) = 86 feet
3·y + 3·y + (2·y - 2) + (2·y - 2) = 2·(5·y - 2) = 86
5·y - 2 = 86/2 = 43
y = (43 + 2)/5 = 9
The diagonals of a kite bisect each other, therefore;
5·x - 15 = 2·x + 3
5·x - 2·x = 3 + 15 = 18
3·x = 18
x = 18/3 = 6
x = 6
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2 cards are selected from a standard deck of 52 cards. (don't know about playing cards? click here.) the first card is placed back in the deck before the second card is drawn. match the probabilities to their corresponding situations.
Answers
The probabilities and corresponding situations for selecting two cards from a standard deck of 52 cards, with the first card placed back in the deck before the second card is drawn:
Probability: 1/1692
Corresponding Situation: Both cards are aces
Probability: 1/13
Corresponding Situation: The first card is a spade
Probability: 3/51
Corresponding Situation: The first card is not a spade, and the second card is diamond
Probability: 1/17
Corresponding Situation: Both cards are kings
Probability: 12/51
Corresponding Situation: The first card is not a king, and the second card is spade
Probability: 1/4
Corresponding Situation: The first card is a heart, and the second card is a diamond
Probability: 4/17
Corresponding Situation: The first card is a heart, and the second card is not a heart
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What is the sign of 3ay when 2 > 0 and y < 0?
Choose 1 answer
Positive
Negative
Zero
Answers
Given : Expression when
To find : What is the sign of the expression ?
Solution :
Expression
when
We know that,
When a negative unit is divided by a negative unit then the negative sign became positive sign as negative sign get cancel in numerator and denominator.
Pls help me out and follow the steps
Answers
Answer:
4w + 3 = 2w + 7
-[2w] -2w
-----------------------
2w + 3 = 7
-3 -[3]
----------------------
2w = [4]
2w = 4
---- ----
2 [2]
w = [2]
Albert bought 9 pounds of fish at a grocery store at $5 per pound for salmon and $3 per pound for catfish. He spent a total of $37 on the salmon and catfish. This can be represented using the following system of equations:5s +3c = 37 s + c = 9 How many pounds of salmon did Albert purchase?
Answers
Answer:
5 pounds
Step-by-step explanation:
To find that we simply solve the system of equationsSo make c the subject of the formula of equation 2\(s+c=9\\c=9-s\) Substitute in equation 1 \(5s+3c=37\\5s+3(9-s)=37\\5s+27-3s=37\\5s-3s+27-(27)=37-(27)\\2s=10\\s=5\) so that's 5 pounds of salmonA map saying that 4 centimeters represent 10 kilometer what is the real distance that 18 centimeters represents
Answers
Answer:
18cm = 45km
Step-by-step explanation:
Divide 18 by 4 to get 4.5. Multiply 4.5 by 10 to get 45km.
Find the value of h(-67) for the function below.
h(x) = -49x − 125
A.
-3,408
B.
3,158
C.
3,283
D.
-1.18
Answers
Answer:
B. 3,158
Step-by-step explanation:
h(x) = -49x − 125
Let x = -67
h(-67) = -49(-67) − 125
=3283-125
= 3158
Answer:
Answer B
Step-by-step explanation:
To find the value of h(-67) for the function h(x) = -49x - 125,
we substitute -67 for x in the function and evaluate it.
h ( - 67 ) = - 49 ( - 67 ) - 125
Now we can simplify the expression:
h ( -67 ) = 3283 - 125
h ( -67 ) = 3158
according to the strict necessity test question 2 options: a. conclusions of inductive arguments do not follow by strict logical necessity from their premises b. conclusions of inductive arguments can follow by necessity from their premises if the argument's c. conclusion follows by strict logical necessity from its premises, it should be treated as deductive all of the above
Answers
According to the strict necessity test, Conclusions of inductive arguments do not follow by strict logical necessity from their premises. The correct option is a).
It means that even if the premises of an inductive argument are true, the conclusion can still be false, and the truth of the premises does not guarantee the truth of the conclusion.
Inductive reasoning involves making generalizations based on specific observations or evidence, but it does not provide conclusive proof like deductive reasoning. Therefore, the conclusions of inductive arguments are not necessarily true, even if the premises are true. So, The correct answer is a).
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Is it A B C D. Please actually answer correctly.
Answers
Answer:
D.
Step-by-step explanation:
For a moving object,When. The force acting on the object varies directly with the object's acceleration. When a force of 64 N acts on a certain object, the acceleration of the object is 8 m/s2. If the acceleration of the object becomes 9 m/s2, what is the force?
Answers
Answer:
72 N
Step-by-step explanation:
From the question.
Force is directly proportional to acceleration, with the mass of the object constant.
F α a
F = ka
F₁/a₁ = F₂/a₂....................... Equation 1
Where F₁ = Initial force, a₁ = initial acceleration. F₂ = final force, a₂ = Final acceleration.
make F₂ the subject of the equation
F₂ = (F₁/a₁)a₂................ Equation 2
Given; F₁ = 64 N, a₁ = 8 m/s², a₂ = 9 m/s²
Substitute these values into equation 2
F₂ = (64/8)(9)
F₂ = 72 N
Calculate the sum.
10+ (-42)
O A. 52
O B. -32
O C. 32
D. -52
Answers
Answer:
B
Step-by-step explanation:
10 + (-42)
10 - 42
-32
8.A rocket travels at an approximate speed of 7.9 kilometers per second.
Which statements about the rocket are true?
Select all that apply.
Answers
The statement below about the rocket is true:
A rocket travels at an approximate speed of 7.9 *10⁵ cm per second.
What is Unit conversion?A statement of the connection between units that are used to alter the units of a measured quantity without affecting the value is called a conversion factor. A conversion ratio (or unit factor), if the numerator and denominator have the same value represented in various units, always equals one (1).
Given, A rocket travels at an approximate speed of 7.9 kilometers per second.
Since, some unit conversion:
1 kilometer = 1000 meteres
1 kilometer = 100000 centimeteres = 10⁵ cm
1 kilometer = 10000000 milimeteres = 10⁷ mm
thus we can say that from the given options only "f" is correct that states:
A rocket travels at an approximate speed of 7.9 *10⁵ cm per second.
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PLS HELP ASAP ILL GIVE BRAINLYEST
arrows Are the passage pls read the passage
→Now, back when I was a kid, the closest thing to sending an e-mail was tying a note to a pigeon and throwing him in the direction of the person you wanted to talk to. I never thought in a million years that I'd be sued for illegally downloading music.
I was doing my morning crossword puzzle, enjoying my coffee and prune juice, when the mailman knocked on my door. I got some not-so-good news in a letter from a company called the Recording Industry Association of America, or the RIAA for short. They're the folks who represent record companies and their performers. They told me in this pretty, pink stationery that I was violating copyright laws by downloading music off the Internet, and they weren't too happy about it. Copyright laws are these doohickeys that give artists, writers, or musicians control over how their work is used and reproduced. Apparently, today, downloading music is like when we used to steal a pie off old Ms. Roundtree's windowsill. But, rather than a paddle to the keister, the RIAA will sue your keister.
Now, the funny thing is, I didn't even know I had connection to the Internet, let alone how to download a song by P-Doody, or whatever that wisecracking young man's name is. So, I had a talk with my grandkids (whom I've nicknamed Up To and No Good) after this little runabout with the law, because I have a sneaking suspicion that they might have something to do with this.
My computer now has a password function to keep mischievous whippersnappers from getting their old granddad thrown behind bars. This is a great thing, except now I'm having a hard time remembering the password.←
Grandpa Murphy is shocked about being sued for illegally downloading music. Which choice best explains why Grandpa Murphy is so shocked?
A.) He didn't do anything wrong.
B.) He had created a password function.
C.) He didn't know he had an Internet connection.
D.) He doesn't know how to download music.
Answers
Answer:
I think it's A, but I'm not sure :)
Answer:
D.) He doesn't know how to download music.
Does the table represent an exponential function
x1234
y 39 27 81
Ono
Oyes
Answers
Answer:
No.
Step-by-step explanation: