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2 years ago

If a theater holds 1,800 people, and sells 1/3 of its seats, how many tickets does it sell?

Mathematics

2 answers:

Mama L [17]2 years ago

5 0

Answer:

600 tickets does it sells.

Step-by-step explanation:

Total Capacity of the theater is, 1800 people.

and sells $=\frac{1}{3}$ of its seats.

To find how many ticket it sell.

Tickets sold is equal to the one third of the capacity of the theater

therefore,

Tickets sold $=\frac{1}{3} \times 1800$ $=600$

Hence, a theater holds 1,800 people and sells 1/3 of its seats then it sells the 600 tickets.

andrew-mc [135]2 years ago

4 0

1/3 of 1800= 1800:3= 600 seats does it sell

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Suppose you want to count the number of four-letter passwords that can be formed using the letters in the word NUMBER. The four

WITCHER [35]

Answer:

D.The password must not follow order matter

Step-by-step explanation:

We are given that suppose you want to count the number of four letters password that can be formed using the letters in the word NUMBER.

We are given that all letters in the password must be all different .There is no nothing saying about order so we can make combination without order .

We have to find the number of 4- letter password that can be formed using letters in the word NUMBER.

By using Permutation formula we find the number of 4- letters password that can be formed by using the letters N,M,B,U,E,R.

Permutation formula : The number of arrangements when taken r objects at a time out of n objects

= $\frac{n!}{(n-r)!}$

Total letters in word NUMBER=N,U,M,B,E,R=6

n=6,r=4

Therefore, the number of arrangements can be made from 6 letters when 4 letters taken at a time = $\frac{6!}{(6-4)!}$

The number of selection can be made from 6 letters when 4 letters taken at a time = $\frac{6!}{(6-4)!}$

The number of selection can be made from 6 letters when 4 letters taken at a time = $\frac{6\times5\times 4\times3 \times 2!}{ 2!}$

$n!=n(n-1)(n-2)(n-3)...........3\cdot.2\cdot.1$

The number of selection can be made from 6 letters when 4 letters taken at a time =360

Option D is correct.

Answer : D.The password must not follow order matter

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2 years ago

a rectangular flower garden has area of 32 square feet. if the width of the garden is 4 feet less than the length, what is the p

qaws [65]

Let length be x feet
length= x
width=x-4
area = 32
length * width=32
x(x-4)=32
x^2 - 4 x -32=0
(x-8)(x+4)=0
x=8 feet
length=8 feet
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1 year ago

261, 256, 251, ...<br> Find the 46th term

slava [35]

Answer:

46th term is 36.

Step-by-step explanation:

we need to subtract like this..

251-5=246,246-5=241.likewise the 46th term is 36

5 0

2 years ago

Read 2 more answers

489 to the nearest ten

sammy [17]

8 is in the tenth position.

In order to round up, the number behind it (in this case. 9) must be one of the numbers of 5-9. Because 9 meets this requirement, you can round 8 to 9 and this will make 9 to 0.

Your answer is 490

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1 year ago

Read 2 more answers

The size of fish is very important to commercial fishing. A study conducted in 2012 found the length of Atlantic cod caught in n

devlian [24]

Answer:

The length of the longest 15% of Atlantic cod in this area is 53.79cm, roundeed to 2 decimal places.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.

In this problem, we have that:

A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm, so $\mu = 49.9, \sigma = 3.74$ .

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We have to find the value of X for the value of Z that has a pvalue of 0.85.

Looking at the zscore table, we have that Z = 1.04 has a pvalue of 0.8508. So, we have to find the value of X when $Z = 1.04, \mu = 49.9, \sigma = 3.74$ .

$Z = \frac{X - \mu}{\sigma}$

$1.04 = \frac{X - 49.9}{3.74}$

$X - 49.9 = 3.8896$

$X = 53.7896$

The length of the longest 15% of Atlantic cod in this area is 53.79cm, roundeed to 2 decimal places.

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1 year ago