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3 years ago

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The number of seats in the first row of a concert hall is 6. Th second row has 9 seats, the third row has 12 seats, and the four

th row has 15 seats. How many seats will be in the eighth row?

2 answers:

iris [78.8K]3 years ago

8 0

Eighth row has 27 seats

zhuklara [117]3 years ago

7 0

It's a pattern, you add three to every row. (1st row) 6+3=9, (second row) 9+3=12, (third row) 12+3=15, (fourth row) 15+3=18, (fifth row) 18+3=21, (sixth row) 21+3=24, (seventh row) 24+3=27 (eighth row) 27+3=30.

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Find the slope between 2 points. <br> (16, 12) (40,18)

WITCHER [35]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

In this question, we have to find the slope with the given coordinates.

To find our slope, we would use the slope formula: $m = \frac{y2-y1}{x2-x1}$

Plug in your coordinates and solve:

$m = \frac{18-12}{40-16}\\\\m=\frac{6}{24}$

Simplify the fraction:

$m=\frac{1}{4}$

The slope would be $\frac{1}{4}$

8 0

3 years ago

A healthcare provider monitors the number of CAT scans performed each month in each of its clinics. The most recent year of data

Rasek [7]

Answer: a. 1.981 < μ < 2.18

b. Yes.

Step-by-step explanation:

A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.

First, we calculate mean of the sample:

$\overline{x}=\frac{\Sigma x}{n}$

$\overline{x}=\frac{2.31=2.09+...+1.97+2.02}{12}$

$\overline{x}=$ 2.08

Now, we estimate standard deviation:

$s=\sqrt{\frac{\Sigma (x-\overline{x})^{2}}{n-1} }$

$s=\sqrt{\frac{(2.31-2.08)^{2}+...+(2.02-2.08)^{2}}{11} }$

s = 0.1564

For t-score, we need to determine degree of freedom and $\frac{\alpha}{2}$ :

df = 12 - 1

df = 11

$\alpha$ = 1 - 0.95

α = 0.05

$\frac{\alpha}{2}=$ 0.025

Then, t-score is

$t_{11,0.025}$ = 2.201

The interval will be

$\overline{x}$ ± $t.\frac{s}{\sqrt{n} }$

2.08 ± $2.201\frac{0.1564}{\sqrt{12} }$

2.08 ± 0.099

The 95% two-sided CI on the mean is 1.981 < μ < 2.18.

B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.

8 0

3 years ago

The sum of two consecutive odd integers is 28. What are the integers?

Fantom [35]

The correct option is B): "<span>Let x = 1st integer. Let x + 2 = 2nd integer.</span><span>"
Given that "The sum of two consecutive odd integers is 28."

Now the difference between two odd numbers is 2. So this means that one odd number has to be greater than the other by 2.

Let the smaller number be 'X' therefore the bigger number will be 'x+2' thus x + (x+2) = 28

therefore, x + x + 2 = 28 now we subtract "2" from both the sides
therefore, 2x = 26 now dividing throughout by 2 we get:

x = 13 therefore, x + 2 = 13+2
= 15

therefore, the numbers are 13 AND 15</span>

4 0

4 years ago

jimmy is moving to a new apartment. he fills a box with 4 books, 5 DVDs, and 2 CD's. when he starts unpacking his new place he p

pav-90 [236]

Answer:

$\frac{2}{11}$

Step-by-step explanation:

First, find the probability of him pulling out a book.

There are 11 objects in total, and there are 4 books.

So, the probability of pulling out a book is $\frac{4}{11}$

Next, find the probability of him pulling out a DVD after.

Since a book was taken out, there are only 10 objects left. There are 5 DVDs.

So, the probability of pulling out a DVD is $\frac{5}{10}$ , or simplified to $\frac{1}{2}$

To find the probability that this happens in order, multiply the probabilities:

$\frac{4}{11}$ x $\frac{1}{2}$

= $\frac{2}{11}$

So, the probability is $\frac{2}{11}$

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3 years ago

Dena borrowed $75,000 to buy a used car. The credit union charged 9% simple interest per year. She paid $2,025 in interest. For

kondaur [170]

In order to do this you must use what is called a discipline to get your answer

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3 years ago