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kolbaska11 [484]

3 years ago

8

In the balcony of an auditorium, there are 20 seats in the first row, 22 seats in the second row and 24 seats in the third row.

Assuming this pattern continues, write the explicit form of a sequence describing the number of seats in each row.

1 answer:

JulsSmile [24]3 years ago

7 0

Answer:

is two more than the row before

Step-by-step explanation:

i hope i help\

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If 12 > -15, which of the following must be true?

Tcecarenko [31]

Answer:

12 is to the right of -15 on a number line.

Step-by-step explanation:

Hope this helps! - CJ

5 0

3 years ago

An amusement park would like to determine if they want to add in a new roller coaster. In order to decide whether or not they sh

Rzqust [24]

Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 90% confidence level, hence $\alpha = 0.9$ , z is the value of Z that has a p-value of $\frac{1+0.9}{2} = 0.95$ , so the critical value is z = 1.645.

The sample size and the estimate are given by:

$n = 600, \pi = \frac{400}{600} = 0.6667$

Hence, the bounds of the interval are given by:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 - 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6350$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 + 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6984$

The 90% confidence interval is given by: (0.6350, 0.6984).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

5 0

2 years ago

Y-4x=3. 2x-3y=21 can someone help

mars1129 [50]

Y-4X =3 ; 2x-3y=21

Y= 3+ 4x

2x -3( 3+4x)= 21

2x- 9- 12x= 21

-10x -9= 21

-10x -9+9= 21+9

-10x = 30

X= 30/-10= -3

Y= 3+4x = 3+ 4* (-3)= 3-12= -9

3 0

3 years ago

7 - r/8 - 3d <br><br><br><br> Variables <br><br> r=32 and d= 2

satela [25.4K]

The required value if r = 32 and d = 2 is -3

Given the expression

$7-\frac{r}{8} - 3d$

Substituting the given variables

r = 32

d = 2

The expression becomes

$= 7-\frac{32}{8} - 3(2)\\= 7 - 4 - 6\\= 3 - 6\\= -3$

Hence the required value is -3

Learn more here: brainly.com/question/17499155

6 0

2 years ago

The sophomore class is planning to sell school mascot puppets to help cover the cost of a class trip. A local supplier will char

kifflom [539]

Answer:

755 or more

Step-by-step explanation:

The profit is the difference between revenue and costs. We want the profit to be $2000 or more, and we have both fixed and variable costs.

Let x represent the number of puppets sold. Then the costs are ...

... 76.25 + 2.25x

The revenue is 5x.

The above-described relationship can then be written as

... 5x -(76.25 +2.25x) ≥ 2000

... 2.75x ≥ 2076.25 . . . . . add 76.25, collect terms

... x ≥ 2076.25/2.75 . . . . divide by the coefficient of x

... x ≥ 755

755 or more puppets must be sold to earn $2000 or more.

8 0

3 years ago