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3 years ago

How many ways can 4 identical footballs and 3 identical basketballs be ordered on a shelf?

Mathematics

1 answer:

lina2011 [118]3 years ago

3 0

Answer: There are 35 ways to arrange on a shelf.

Step-by-step explanation:

Since we have given that

Number of identical footballs = 4

Number of identical basketballs = 3

We need to find the number of ways that the above can be ordered on a shelf.

Total number of books = 4+3 = 7

So, it becomes,

$=\frac{7!}{4!\times 3!}\\\\=\frac{5040}{144}\\\\=35$

Since there are 4 identical footballs i.e. 4! and 3 identical basketballs i.e. 3!. so, we divide the identical part with the whole part.

Hence, there are 35 ways to arrange on a shelf.

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A political scientist wants to know how college students feel about the Social Security system. She obtains a list of the 3456 u

Marina CMI [18]

Answer:

For this case the population is described as:

All the college students

And the political have a list of 3456 undergraduates at her college for the sampling frame.

The sample would be the 104 students who return the survey.

Is important to notice that since he know the information about her college she can apply inference about the parameter of interest just at her college and not about all the possible students of college.

Step-by-step explanation:

For this case the population is described as:

All the college students

And the political have a list of 3456 undergraduates at her college for the sampling frame.

The sample would be the 104 students who return the survey.

For this case we can also find the non reponse rate since we know that the total of questionnaires are 250 and she got back just 104 answered

$Non-resp. = \frac{250-104}{250} = \frac{146}{250}= 0.584$

So we have a non response rate of 58.4 %

4 0

3 years ago

$290, 12.5%, 6 months

Veronika [31]

The information shown here only shows a principal sum, a rate of interest and a period or time. There is no question as to what is needed. But suppose the need is for simple interest, then we calculate using the given information and the formula: I = PRT where I is simple interest, P is the principal, R is the rate per year, and T is time P = 290, T is 6 months which is 0.5 years, R = 12.5 % which is written as 0.125 in decimal fraction. I = 290 × 0.125 x 0.5 → I = 18.125 Therefore after 6 months , the interest earned will be 18. 125 dollars

3 0

4 years ago

Carl went to the store to buy items for his party.He bought two packs for plates for $3.24 and a pack of cups for $5.70. He also

Andre45 [30]

3.24 + 5.70 + 6.17 = 15.11

20.00 - 15.11 = 5.11

He got 5.11$ of change back.

7 0

3 years ago

A stool of ribbon holds 6.75 meters.A craft club buys 21 stools. What is the total cost if the ribbon sells for $2 per meter.

OLEGan [10]

283.5

So you multiply 6.75 by 21 stools to find the total number of meters. Then you multiply that by 2.

7 0

4 years ago

The volume of the plastic cylinder is 64. A glass cylinder has the same height and radius is half of the plastic cylinder radius

sp2606 [1]

Answer:

I am not sure if I'm correct, but I got 16

Step-by-step explanation:

lets look at the formula for cylinder volume:

V=π*r^(2)*h

now, lets plug in 64

64=π*r^(2)*h

h=64/(π*r^(2))

Volume of glass cylinder is

V=((0.5r)^2)*(64/(π*r^(2)))*π

V=0.25π*r^(2)*(64/(π*r^(2)))

V=16π*r^(2)/(π*r^(2)

V=16

8 0

3 years ago