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2 years ago

In how many ways can four people sit next to each other in a movie theater row?

2 answers:

6 0

As far as we can tell is just a Permutation

how many ways to arrange 4 out of 4, where order matters,

$\bf _nP_r=\cfrac{n!}{(n-r)!}\qquad \qquad \qquad \qquad _4P_4=\cfrac{4!}{(4-4)!}\implies \cfrac{4!}{1}$

Gnoma [55]2 years ago

4 0

2 of the them have to seat in the front row and the two others in the back

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An internal census of the salaries of animals employed by United Pets Inc. shows that the median salary for dogs is considerably

RUDIKE [14]

Answer:

c. Different departments tend to pay different salaries, and dogs are more likely than cats to work in lower-paying departments.

Explanation:

The only explanation for difference in median results is that dogs take up jobs in both higher paying departments and lower paying departments while cats take up jobs in only higher paying departments only. In other words the median results for dogs when compared in general would be higher than that of the cats

7 0

3 years ago

The third term in an arithmetic sequence is 14 and the fifth term is 20. If the first term is a1, which is an equation for the n

Kruka [31]

Answer:

The equation for nth term is 3n + 5.

Step-by-step explanation:

Let a1 be a,

a3 = a + (n - 1)d

or, 14 = a + (3 - 1)d

so, 14 = a + 2d

Now,

a5 = a + (n - 1)d

or, 20 = a + (5 - 1)d

or, 20 = a + 4d

now,

a + 4d = 20

a + 2d = 14

now,

a + 4d - ( a + 2d) = 20 - 14

or, a + 4d - a - 2d = 6

or, 2d = 6

so, d = 3

Now,

a + 2d = 14

or, a + 2(3) = 14

or, a = 14 - 6

so, a = 8

Now,

an = a + (n - 1)d

or, an = 8 + (n - 1)3

or, an = 8 + 3n - 3

so, an = 3n + 5

5 0

2 years ago

PLEASE find the equation for this graph

Verdich [7]

I think it’s y=1/2x-10

6 0

1 year ago

a student is creating a poster for science fair and wants to use three differnt colors of construction paper, and four differnt

Maurinko [17]

The student has 12 different possibilities for pen and color combination on the poster.

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2 years ago

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How to find the angle between two lines given their slopes?

vichka [17]

Tan(tan−1(yx)−θ) is the slope m. Then use "point slope formula" (if you want an equation of the line, that is...) Labeling the origin "O" and the point (x,y) "P", the segment ¯OP makes an angle of tan−1(yx) with the positive x-axis

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2 years ago