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Mekhanik [1.2K]
2 years ago
5

A large multiplex movie house has many theaters. The largest theater has 48 rows. There are 13 seats in the first row. Each row

has two seats more than the previous row. How many total seats are there in the theater?
Mathematics
1 answer:
ratelena [41]2 years ago
3 0
It is 13 rows Forsure and the white one is that
And seats are 20
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Elis [28]
A rectangle is a quadrilateral that has two sets of parallel sides. Each side of the rectangle forms a 90 degrees with the other side. If diagonals are drawn, the lines will divide the angle into two having an angle 90 degrees. Therefore, 90 degrees is the answer hope its help you
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3 years ago
How many randomly chosen guests should I invite to my party so that the probability of having a guest with the same birthday as
dimulka [17.4K]

Answer:

At least 401 chosen guests

Step-by-step explanation:

Represent those with same birth day with Same

So:

P(Same) > \frac{2}{3}

Represent number of people with n

There are 365 days in a year and 364 days out of these days is not your birthday.

So, there the probability that n people do not share your birthday is (\frac{364}{365})^n

i.e.

P(none) = (\frac{364}{365})^n

Solving further, we have that:

P(same) + P(none) = 1

P(same) + (\frac{364}{365})^n = 1

P(same) = 1 - (\frac{364}{365})^n

We're calculating the probability that P(Same) > \frac{2}{3}.

So, we have:

1 - (\frac{364}{365})^n > \frac{2}{3}

Collect Like Terms

1 - \frac{2}{3}> (\frac{364}{365})^n

\frac{3-2}{3}> (\frac{364}{365})^n

\frac{1}{3}> (\frac{364}{365})^n

3^{-1} > (\frac{364}{365})^n

Take natural logarithm (ln) of both sides

ln(3^{-1}) > ln((\frac{364}{365})^n)

-ln\ 3 > n\ ln\ (\frac{364}{365})

Apply laws of logarithm

-ln\ 3 > n\ (ln(364) - ln(365))

Multiply through by -1

ln\ 3 < n\ (ln(365) - ln(364))

Solve for n

\frac{ln\ 3}{(ln(365) - ln(364))} < n

Reorder

n > \frac{ln\ 3}{(ln(365) - ln(364))}

n > \frac{1.09861228867}{(5.89989735358 - 5.89715386764)}

n> \frac{1.09861228867}{0.00274348594}

n > 400.443928891

n > 400 (approximated)

This implies that n = 401, 402, 403 .....

i.e

n \geq 401

So, at least 401 people has to be invited

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3 years ago
Hi! please help this question is worth 57 points :)
Aleksandr-060686 [28]

Answer:

D. 10000

Step-by-step explanation:

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2 years ago
Which is a different way to express 7 ( y+ 6) ?
marta [7]

Im not sure if this answers your question, there isn't much detail.

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Answer:

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