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9966 [12]
3 years ago
11

How many ways can 5 friends sit together at the movies in 5 seats?

Mathematics
1 answer:
ss7ja [257]3 years ago
3 0

Answer:

120

Step-by-step explanation:

The number of friends is 5 and there are 5 seats only. So , we can find it out with the help of permutations ,

\implies ^n P_r = \dfrac{n! }{(n-r)!}

⇒ 5! / (5-5)!

⇒ 5! / 1!

⇒ 5!

⇒ 5 × 4 × 3 × 2 × 1

⇒ 120

<h3><u>Hence </u><u>there</u><u> </u><u>are</u><u> </u><u>1</u><u>2</u><u>0</u><u> </u><u>ways</u><u> </u><u>by</u><u> </u><u>which </u><u> 5 friends sit together at the movies in 5 seats</u><u>. </u></h3>
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A family is trying to pick from different shades of paint for their living room. They have narrowed it down to 10 colors: 3 diff
NeTakaya

Answer:

30%

Step-by-step explanation:

A family is trying to pick from different shades of paint for their living room. They have narrowed it down to 10 colors: 3 different blues and 7 different greens. The family decides to just randomly select a color from these. What is the probability they will pick a shade of blue? Choose the answer in percent form. Question 3 options: 50% 100% 70% 30%

First, we need to convert the probability of picking a blue shade into a fraction.

= 3/10

Since this is by 10, we need to times 0.3 (numerator) by 10 (the number of outcomes) Whatever you do to the numerator, you do to the denominator. This means that you also times 10 by 10

This gives you 30/100

Since a percentage is out of 100, you don't need to change anything, just take away the 100 and put a percentage sign.

=30%

5 0
3 years ago
Read 2 more answers
Using the rules for special cases, what is the result of?
Arlecino [84]

Answer:

C) 4x^2 -8x +4[/tex]

Step-by-step explanation:

(-2x+2)^2

we apply (a+b)^2 formula

(a+b)^2 = a^2 + 2ab +b^2

a= -2x  and b= 2

Replace 'a' with -2x  and 'b' with 2

(-2x+2)^2 = (-2x)^2 + 2(-2x)(2) +2^2

(-2x)^2 is 4x^2

(-2x+2)^2 = 4x^2 -8x +4

option C is the answer



8 0
3 years ago
Read 2 more answers
Solve the quadratic by quadratic formula below<br><br> x squared-14x=-49
lubasha [3.4K]
X^2-14x+49=0

Factor
(x-7)(x-7)

Check
-7-7=-14
-7*-7=49

Use ZPP
x-7=0
x=7

Final answer: x=7
5 0
3 years ago
Read 2 more answers
2 feet to 2 yards ratio
vredina [299]

Answer:

\frac{1}{3}

Step-by-step explanation:

Three feet make a yard, so 2 yards is 6 feet

\frac{2}{6}  If we divide the top (numerator) and the bottom (denominator) by 2 we get

\frac{2}{6} ÷ \frac{2}{2} = \frac{1}{3}

8 0
1 year ago
Find the equation of the line that is parallel to y=3x-2 and contains the point (2,11).
SOVA2 [1]

Answer:

y - 11 = 3 (x - 2)

Step-by-step explanation:

This is in point slope form, that is by far the best form to be in. Point slope form is best when there is a point and it gives it to you in slope intercept form. you take the slope from the original equation and stick it into y - (y point) = slope (x - (x point)) you know it is the right equation because it gives you the slope, which is the same, and the point, which is given.

The way to get it into slope intersept form you just solve for y

6 0
3 years ago
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