6. The Grand Theater has 13,451 seats. If 15,340 people need to be seated in the theater for a music concert, write and solve

Mathematics

2 answers:

Elena L [17]4 years ago

8 0

Hey There!

To find how many seats are needed to be added, you need to subtract 15,340 by 13,451. You need to find the difference between the seats you need and the seats you have. So...

15,340-13,451= 1,889

You need to add 1,889 more seats.

Hope This helped!

Godspeed,

SongBird

Akimi4 [234]4 years ago

8 0

Answer:

The required equation is 13451 + x = 15340,

1,889 seats are needed.

Step-by-step explanation:

Given,

Original number of seats = 13,451,

Also, the number of people who needed to be seated = 15,340,

Let x seats were added,

So, the new number of seats = 13451 + x

Thus, 15,340 will get the seat,

If total seats = 15340

⇒ 13451 + x = 15340

Which is the required equation,

Subtract 13451 on both sides,

We get,

x = 1889

Hence, 1889 seats are needed to accommodate all the people.

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Suppose that the mean time that visitors stay at a museum is 94.2 minutes with a standard deviation of 15.5 minutes. The standar

Maurinko [17]

Answer:

$94.2 -0.994*3.1 = 91.1186$

$94.2 +0.994*3.1 = 97.2814$

And the 68% confidence interval is given by (91.1186, 97.2814)

Step-by-step explanation:

For this case we know that mean time that visitors stay at a museum is given by:

$\bar X = 94.2$

The standard deviation is given by:

$s= 15.5$

And the standard error is given by:

$SE = \frac{s}{\sqrt{n}} =3.1$

And we want to interval captures 68% of the means for random samples of 25 scores and for this case the critical value can be founded like this using the normal standard distribution or excel:

$z_{\alpha/2}= \pm 0.994$