What is the next number in this sequence?

2, 3, 5, 8, 12, ___

Answers

Answer 1

Answer: the answer is 17 ..
2+1 +3
3+2=5
5+3=8
8+4=12
12+5=17

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Help me find area please asap

Answers

you have to find the area of both the square and rectangle. use the formula A=wl
square = 3x3 = 9
rectangle = 10x3 = 30
area= 39 (i think)

Mr. Rodriguez asked 60 randomly chosen students from each grade level at Willowbrook School about their favorite types of reading materials. Of those 60 students, 12 chose science fiction. Mr. Rodriguez used the data to draw the inference that about 20% of middle school students prefer to read science fiction. If 150 students attend the school, did he make a reasonable inference? Explain.

Answers

Answer:

Mr. Rodriguez made a reasonable inference. His sampling was random, nonbiased, and reasonably large compared to the school population. 12 is 20% of 60.

Step-by-step explanation:

the ratio in the sample is 12/60, or 0.2

Answer:

The fair assumption was made by Mr. Rodriguez. His surveys were random, non-biased and very large according to the population of the schools. Of 60, 12 is 20%.

Im sad

Which of the following shows 27/54 written in prime factored form to help in reducing the fraction to simplest form? A. 9x3/9x6
B. 27x1/27x2
C. 3x3x3/3x3x3x2
D. 1/2

Answers

Answer: C. 27/54 .

Step-by-step explanation:

Here, given number, 27/54

Since the prime factor form of 27 = $3* 3* 3$

And, the prime factor form of 54 = $3* 3* 3* 2$

putting the prime factor form of both 27 and 54 in the given numbers.

we get, $(27)/(54) =(3* 3* 3)/(3* 3* 3* 2) = 1/2$

Thus, by putting the prime factor form by C we get the simplest form of the given fraction.

Therefore, Option C is correct.

C. 3x3x3/3x3x3x2

27 splits into 3 and 9, the 9 splits into 2 3's. You can't split the threes.
54 splits into 2 and 27, the 27 is the same as above.

How do I solve this?

Answers

Work is attached..

:D

One polygon has a side of length 3 feet.A similar polygon has a corresponding side of length 9 feet.the ratio of the perimeter of the smaller polygon to the larger is

Answers

The ratio of the smaller to the larger is 3:9. That can also be written as a fraction, $(3)/(9)$ , which of course can be reduced to $(1)/(3)$ or 1:3. That's your ratio.

A population of values has a normal distribution with $ \mu=195.5 $ and $ \sigma=25.3 $. You intend to draw a random sample of size $ n=215 $. Find the probability that the sample mean is greater than 197.2.

Answers

I apologize for the oversight. Let's solve it and provide the answer.

Step-by-step explanation :

1. **Standard Error Calculation :

\[ SE = \frac{\sigma}{\sqrt{n}} \]

\[ SE = \frac{25.3}{\sqrt{215}} \]

\[ SE \approx 1.7292 \]

2. **Z-Score Calculation:**

\[ z = \frac{X - \mu}{SE} \]

\[ z = \frac{197.2 - 195.5}{1.7292} \]

\[ z \approx 0.9836 \]

3. Finding the Probability :

To find the probability that the sample mean is greater than 197.2, we need to find the area to the right of the z-score in the standard normal distribution table.

For $ z \approx 0.9836 $, the area to the left is approximately $ 0.8374 $.

Since we want the area to the right (the probability the sample mean is greater than 197.2), we need to subtract that value from 1 :

\[ P(X > 197.2) = 1 - 0.8374 \]

\[ P(X > 197.2) = 0.1626 \]

Answer : The probability that the sample mean is greater than 197.2 is approximately $ 0.1626 $ or $ 16.26\% $.

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