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vitfil [10]
3 years ago
5

Tom and 29 friends (30 total) are to sit in three rows of 10 at a movie theatre. They madea rule that Within each row, they must

sit in order of tallest to shortest with the tallestperson on the left. Given that there are no two people with the same height and there areno restrictions on where a person must sit, how many different seating arrangements arepossible
Mathematics
1 answer:
Phoenix [80]3 years ago
6 0

Answer:

The answer is "6000".

Step-by-step explanation:

It seems to be a total of 30 buddies there. Every column has 10 seats so that the 10 pals are now in a row. Of all the other 20 buddies, 10 are on the following row. And we have ten friends remaining and that they are sitting in the next row.

Therefore the possibility of sitting is:

30 \times 20 \times 10 = 6000

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Write the given equation in standard form.<br> −7x−5y=3
lina2011 [118]

Answer:

7x+5y=-3

Step-by-step explanation:

3 0
2 years ago
If the variance is 28 kg2 what is the standard deviation?
ikadub [295]

Answer:

The standard deviation is 5.29 kg.

Step-by-step explanation:

The standard deviation is the square root of the variance. Mathematically, we have that:

S(X) = \sqrt{V(X)}

In this problem, we have that:

V(X) = 28

So

S(X) = \sqrt{V(X)}

S(X) = \sqrt{28}

S(X) = 5.29

The standard deviation is 5.29 kg.

7 0
2 years ago
How do I find the value of x?
UkoKoshka [18]
The angles ACD and Angle ABE are congruent so there measure is equal.
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6 0
2 years ago
The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the
frez [133]

Length of rectangle is 1 unit  

<u>Solution: </u>

Given that  

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,  

Length of the rectangle = x – 8

\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }

\text{ Area of rectangle }= x\times (x-8)

\text { Area of rectangle }=\left(x^{2}-8 x\right)

As given that area of rectangle = 9 square units

\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}

On solving above quadratic equation for x, we get

\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}

When x-9 =9, x = 9

When x + 1 = 0, x = -1

As width cannot be negative, so considering x = 9  

\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }

Hence, Length of rectangle is 1 unit.

5 0
3 years ago
Brainliest reward if you get this right plus 20 points
SOVA2 [1]

Answer:

The equation of the relation ⇒ y=\frac{6x}{z}

y = 18

Step-by-step explanation:

∵ y ∝ x/z

∴ y = kx/z

∵ y = 18 , x = 15 and z = 5

∴ 18 = 15k/5 ⇒ 18 = 3k

∴ k = 18/3 = 6

∴ y = 6x/z

∵ x = 21 and z = 7

∴ y = (6 × 21)/7 = 18

3 0
2 years ago
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