¿ cuantas sillas tiene el teatro?

Alyce Wilkinson
2021-02-08
Answered

el diseño de un teatro consta de 27 sillas en la primera fila , 32 en la segunda, 37 en la tercera y asi sucesivamente. se sabe que el teatro tiene 10 filas.

¿ cuantas sillas tiene el teatro?

¿ cuantas sillas tiene el teatro?

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star233

Answered 2022-04-04
Author has **208** answers

The number of chairs in each row is represented by the sequence $27,32,37,....$

The total number of chairs is then represented by the series $27,32,37,....$

Since $32-27=5$ and $37-32=5$, then the number of chairs in each row is represented by an arithmetic sequence with a first term of ${a}_{1}=27$ and a a common difference of $d=5$.

The total number of chairs will then be found using the partial arithmetic sum formula ${S}_{n}=\frac{n({a}_{1}+{a}_{n})}{2}$. It is given that the theater has $10$ rows so $n=10$. To use this formula when $n=10$, you must then find ${a}_{10}$.

The nnth term of an arithmetic sequence is ${a}_{n}={a}_{1}+(n-1{)}^{d}$. Therefore:

${a}_{10}$

$=27+(10-1)\left(5\right)$

$=27+9\left(5\right)$

$=27+45$

$=72$

The total number of chairs is then:

${S}_{n}=\frac{n({a}_{1}+{a}_{n})}{2}$ Partial sum formula.

${S}_{10}=\frac{10(27+72)}{2}$ Substitute $n=10,{a}_{1}=27$ and ${a}_{1}0=72$

$=5\left(99\right)$

$495$

The theater then has $495$ chairs.

asked 2021-02-23

Interpreting z-scores: Complete the following statements using your knowledge about z-scores.

a. If the data is weight, the z-score for someone who is overweight would be

-positive

-negative

-zero

b. If the data is IQ test scores, an individual with a negative z-score would have a

-high IQ

-low IQ

-average IQ

c. If the data is time spent watching TV, an individual with a z-score of zero would

-watch very little TV

-watch a lot of TV

-watch the average amount of TV

d. If the data is annual salary in the U.S and the population is all legally employed people in the U.S., the z-scores of people who make minimum wage would be

-positive

-negative

-zero

a. If the data is weight, the z-score for someone who is overweight would be

-positive

-negative

-zero

b. If the data is IQ test scores, an individual with a negative z-score would have a

-high IQ

-low IQ

-average IQ

c. If the data is time spent watching TV, an individual with a z-score of zero would

-watch very little TV

-watch a lot of TV

-watch the average amount of TV

d. If the data is annual salary in the U.S and the population is all legally employed people in the U.S., the z-scores of people who make minimum wage would be

-positive

-negative

-zero

asked 2020-10-26

Tara bought her dogs 2 boxes of dog biscuits for $3.99 each. She gave the cashier $20. How would you estimate how much change received?

asked 2022-08-04

The population of a state grew from 36,101 thousand in 1995 to 38,060 thousand in 2003. what was the states population increase over time.

asked 2021-08-17

To find:

The ratio of whole numbers using fractional notation in simplest form.

The given ratio is $46 to $102.

The ratio of whole numbers using fractional notation in simplest form.

The given ratio is $46 to $102.

asked 2022-05-26

Arveson says that an operator $A$ acting on a separable Hilbert space $H$ is diagonalizable:

"If there is a (necessarily separable) $\sigma $-finite measure space $(X,\mu )$, a function $f\in {L}^{\mathrm{\infty}}(X,\mu )$, and a unitary operator $W:{L}^{2}(X,\mu )\mapsto H$ such that $W{M}_{f}=AW$",

where ${M}_{f}$ is multiplication by $f\in {L}^{\mathrm{\infty}}(X,\mu )$.

Could someone elaborate on the notion of a separable σ-finite measure space and how it enters into the context of diagonalizable operators and the Spectral Theorem for (Normal) operators on a separable Hilbert space?

"If there is a (necessarily separable) $\sigma $-finite measure space $(X,\mu )$, a function $f\in {L}^{\mathrm{\infty}}(X,\mu )$, and a unitary operator $W:{L}^{2}(X,\mu )\mapsto H$ such that $W{M}_{f}=AW$",

where ${M}_{f}$ is multiplication by $f\in {L}^{\mathrm{\infty}}(X,\mu )$.

Could someone elaborate on the notion of a separable σ-finite measure space and how it enters into the context of diagonalizable operators and the Spectral Theorem for (Normal) operators on a separable Hilbert space?

asked 2021-11-15

In the following exercises, change to equivalent fractions using the given LCD.

$-\frac{9}{15}\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}\frac{5}{12},LCD=48$

asked 2021-02-18

Mr. Maxwell bought new basketball shows with the discount shown. He has a $10-off coupon he can use after the percentage off. If Mr. Maxwell bought the shows for $61.25, what was the original price?
A. If the shoes are discounted 25%, what percent of the original price is the original price?
25% discount is the same as 75% of the original price.
B. Fill in the boxes to set up the equation to find the original price of the shoes.
Original Price =61.25
C. What would be the price without a $10-off coupon?