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seropon [69]
4 years ago
5

Six friends, four boys and two girls, went to a movie theater. They wanted to sit in a way so no girl sits on either first or la

st chair. How many such arrangements are possible?
Mathematics
1 answer:
mel-nik [20]4 years ago
8 0

Answer:

120 ways

Step-by-step explanation:

Since no girl wil sit either first or last

Hence, in all irrespective whether boy or girl = (6 - 1)! = 5! = 5 X 4 X 3 X 2 = 120

∴ Number of arrangements = 120 ways

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Consider figures 1 through 4 on the coordinate plane.
nordsb [41]

The true statement about the coordinate plane is C. Figures 1 and 2 are not congruent because figure 1 cannot be mapped into figure 2.

<h3>What is a coordinate plane?</h3>

A coordinate plane simply means a two dimensional plane that's is formed by the intersection of a vertical line.

In this case, the true statement about the coordinate plane is that Figures 1 and 2 are not congruent because figure 1 cannot be mapped into figure 2 using a sequence of rigid transformation.

Learn more about coordinate plane on:

brainly.com/question/2644832

#SPJ1

3 0
2 years ago
Four heirs (A, B, C, and D) must fairly divide an estate consisting of two items - a desk and a vanity - using the method of sea
Tom [10]

Answer:

1)The original fair share of A is worth 340$

2)In the initial allocation play A gets no item

Step-by-step explanation:

7 0
3 years ago
A. 3 (x + 2) = 18
Artyom0805 [142]

Answer:

c

Step-by-step explanation:

8 0
3 years ago
10) A new car is available in a sedan model and
Dafna11 [192]

Answer:

Option (C) n = 256

Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.

Step-by-step explanation:

A new car is available in a sedan model and a hatchback model.

So that means customers can select the model of the car in,

n₁ = 2 ways

It is available in eight  different colors.

After selecting the model, customers can select the color of the car in,

n₂ = 8 ways

Customers can choose to add any combination of four optional features.

After selecting the color, customers have the choice to add any combination of 4 optional features,

n₃ = 4² = 16 ways

Which means that there are 16 different ways to add 4 optional features e.g.

1. 0, 0, 0, 0

2. 0, 0, 0, 1

3. 0, 0, 1, 0

4. 0, 0, 1, 1

and the list goes on to 16 different ways.

Now the total ways to select a car is given by

n = n₁*n₂*n₃

n = 2*8*16

n = 256

Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.

6 0
3 years ago
PLEASE HELP AND SHOW WORK i'm very confused
noname [10]

Answer:

a. about 15.51 miles, rounded to 15.5 miles

b. about 31.02 miles, rounded to 31 miles

Step-by-step explanation:

Sunday Monday Tuesday Wednesday Thursday Friday Saturday

 10           20           40          80             160       320        640

 1280      2560        5120      10240       20480   40960    81920

81920/5280 = 15.51515151, rounded to the nearest tenth of a mile, 15.5 miles

Question b asks for how many miles in total has he ran. That means we have to add each of the values shown above and that equals to 163830 feet.

Divide that by 5280 and that equals 31.02 miles, rounded to the nearest tenth, 31 miles.

 

4 0
3 years ago
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