answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga nikolaevna [1]
2 years ago
9

) We throw 9 identical balls into 7 bins. How many different ways are there to distribute these 9 balls among the 7 bins such th

at no bin is empty? Assume the bins are distinguishable (e.g., numbered 1 through 7).
Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
3 0

Answer:

28 ways

Step-by-step explanation:

After placing 1 ball in each of the seven bins, there are two balls left.

If we place both balls in a single bin, there are 7 different ways to place the balls (place both on bins 1 through 7).

If we place each of the remaining balls in a different bin, the number of ways to place the balls is:

n_2=\frac{7!}{(7-2)!2!}=7*3=21

The total number of ways to distribute those balls is 21 + 7 = 28 ways.

You might be interested in
Clara's utility function u(x,y)=(x+2)(y+1). write n equation for clara's indifference curve that goes through the point (x,y)=(2
professor190 [17]

we are given equation as

u(x,y)=(x+2)(y+1)

clara's indifference curve that goes through the point (x,y)=(2,8)

we can plug x=2 , y=8

u(x,y)=(2+2)(8+1)

u(2,8)=36

now, we can set it equal

we get

36=(x+2)(y+1)

now, we can solve for y

\frac{\left(x+2\right)\left(y+1\right)}{x+2}=\frac{36}{x+2}

y+1=\frac{36}{x+2}

y=\frac{36}{x+2}-1..........Answer

7 0
2 years ago
An online music store sells about 4000 songs each day when it charges $1 per song. For each $0.05 increase in price, about 80 fe
Anna71 [15]
X is the number of $0.05 price increases 
<span>so </span>
<span>15 × 0.05 = $0.75 </span>
<span>and so, walla, (0.75, 4900) </span>
<span>or </span>
<span>increase price by $0.75 for max profit of $4900. </span>

<span>otherwise your math was sound</span>
8 0
2 years ago
Read 2 more answers
A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the pr
Gre4nikov [31]

Answer:

z= \frac{47 -50}{\frac{12}{\sqrt{36}}}=-1.5

z= \frac{53 -50}{\frac{12}{\sqrt{36}}}=1.5

And using a calculator, excel ir the normal standard table we have that:

P(47 \leq \bar X \leq 53) =P(-1.5 \leq Z \leq 1.5)

And we can calculate the probability like this:P(-1.5 \leq Z \leq 1.5) = P(zStep-by-step explanation:

A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the probability that the sample mean is in the interval 47<=X<53. Is the assumption of normality important. Why?

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(50,12)  

Where \mu=50 and \sigma=12

Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

We can find the probability required like this:

z= \frac{47 -50}{\frac{12}{\sqrt{36}}}=-1.5

z= \frac{53 -50}{\frac{12}{\sqrt{36}}}=1.5

And using a calculator, excel ir the normal standard table we have that:

P(47 \leq \bar X \leq 53) =P(-1.5 \leq Z \leq 1.5)

And we can calculate the probability like this:

P(-1.5 \leq Z \leq 1.5) = P(z

4 0
2 years ago
In the diagram, polygon ABCD is flipped over a line of reflection to make a polygon with vertices at A′, B′, C′, and D′. Points
DIA [1.3K]
<span>if point A( 2,2) is reflected across the line Y then the new position A' is (-2,2) and the distance AY = distance A'Y if A is reflected across line R it is now at point B and the distance AR = distance BR lets say the point A(2,2) was perpendicular to the line R at the point (1, 4) then when reflected the point A now at location B will have coordinates</span><span>when flipped over a line of reflection the lengths are still the same the point to the line of reflection is the same length as the line of reflection to the reflected position the distance from the original point to the reflected point is twice the distance from the original point to the line of reflection cannot see your polygon. here is an example

</span>

7 0
2 years ago
Tyler plans to snowboard for 7 days. A daily ticket costs $50, but there is a
earnstyle [38]

Answer:

Step-by-step explanation:

$8.75

8 0
2 years ago
Other questions:
  • Angela uses 2/3 cups of strawberries to make 5/6 of a liter of smoothie. What is the unit rate in cups of strawberries per liter
    13·1 answer
  • Kohl's sells watches that cost $6.95 for a selling price of $39.99. What is the percent markup on cost?
    15·1 answer
  • The automaker of your new car recommends an oil change following the first 5,000 miles and then every 3,000 miles thereafter. If
    7·1 answer
  • after five years of earning interest at an annual rate of 4% and investment has earned $1,200 in interest determine the amount o
    14·1 answer
  • Solve the given matrix equation for X. Simplify your answers as much as possible. (In the words of Albert Einstein, "Everything
    6·1 answer
  • The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds prod
    5·1 answer
  • A piece of metal has a mass of 2210 g. The volume of the metal is 260 cm³.
    12·2 answers
  • Find the rational form of 71.625​
    10·1 answer
  • Graph the line y = kx +1 if it is known that the point M belongs to it: M(1,3)
    10·1 answer
  • Logistic regression is used when you want to: Answer choices A. Predict a dichotomous variable from continuous or dichotomous va
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!