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kolezko [41]
3 years ago
11

How many different ways can 12 people line up to go to the same bathroom

Mathematics
1 answer:
Aneli [31]3 years ago
6 0
There are 12! ways to line 12 people up.  That is 12 factorial (the name for the exclamation point
12! means 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

Using a scientific calculator to compute 12!, we get 479,001,600 ways to line up 12 people.  I know it sounds amazing but here is a chart.

People            Ways

3                       6
4                      24  (Notice that if you multiply 6 x 4 you get 24)
5                     120  (Notice that if you muliply 24 x 5 you get 120  etc.)
6                     720
7                     5040
8                    40,320
9                    362,880
10                 3,628,880
11               39,916,800
12               479,001,600
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In psychology, there is a particular Mental Development Index (MDI) used in the study of infants. The scores on the MDI have app
ivann1987 [24]

Answer:

0.1587

Step-by-step explanation:

Here, mean=μ=100 and standard deviation=σ=16.

We have to find  P(average MDI scores of 64 children > 102)=P(xbar>102).

n=64

μxbar=μ=100

σxbar=σ/√n=16/√64=16/8=2

P(xbar>102)=P((xbar-μxbar)/σxbar>(102-100)/2)

P(xbar>102)=P(z>1)

P(xbar>102)=P(0<z<∞)-P(0<z<1)

P(xbar>102)=0.5-0.3413

P(xbar>102)=0.1587

Thus, the probability that the average is greater than 102 is 15.87%

4 0
3 years ago
I'M OFFERING 20 POINTS-
Dafna11 [192]

Answer:

Third option is correct. Scale factor 3 ; enlargement.

Step-by-step explanation:

It is given that the figure A'B'C'D' is a dilation of figure ABCD.

We know that after dilation the corresponding sides of image and preimage are in the same proportion.

The image of AD is A'D'.

From the figure it is noticed that the A(-1,2), D(-1,-1), A'(-3,6) and D'(-3,-3).

Distance formula is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AD=\sqrt{(-1+1)^2+(-1-2)^2}=\sqrt{9}=3

A'D'=\sqrt{(-3+3)^2+(-3-6)^2}=\sqrt{81}=9

Scale factor is constant which represents the relation between image and preimage.

k=\frac{A'D'}{AD}

k=\frac{9}{3}

k=3

Therefore the scale factor is 3.

If k>0 it means enlargement and if k<0 it means reduction. Therefore third option is correct.

3 0
3 years ago
Read 2 more answers
Please explain, thank you
RoseWind [281]

Answer:

C. 2.

Step-by-step explanation:

The graph descends from the left  so the coefficient of the leading term is negative. It is also a cubic equation with zeros of -20, about 6.5 and about 13. so we can write the equation as below.  The last 2 values can only be guessed because the x axis only shows values which are multiples of 5.

f(x) = a(x + 20)(x - 6.5)(x - 13)   where a is  a negative constant.

(This is only an approximation).

By the Remainder theorem, when the expression is divided by (x + 10):

f(-10) = -20 so we have

-20 = a (-10 + 20)(-10-6.5)(-10 - 13)

(10)(-16.5)(-23)a = -20

a = -20 / (10)(-16.5)(-23)

a = -0.0053

When  the equation is divided by (x - 10) then f(10)  is the remainder so substituting we have as the remainder:

-0.0053(10+20)(10-6.5)(10 -13)

-0.0053 * 30 * 3.5 * -3

= 1.7 approximately.

Looks like the answer is 2.

3 0
3 years ago
The elevation of a building's basement is -12 feet. Given the building is square shaped and the total length of the building fro
alina1380 [7]
Picture it in your head
at -12 feet elevation (12 feet below ground level), the basement starts
62 feet from that level is the roof
so count 62 units up from -12 and get 50 feet above ground level (60-12=50)


answer is 50 feet above ground level

 
8 0
3 years ago
Surface area of a pyramid 9ft and 6ft sqaurd
Tcecarenko [31]
I can’t show images. But what is your question
6 0
3 years ago
Read 2 more answers
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