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3 years ago

What are the next two numbers in the pattern 3,6,5,10,9,18,17.

2 answers:

6 0

This pattern appears to alternate between doubling and subtracting by 1.

To get from 3 to 6, we multiply by two.
To get from 6 to 5, we subtract one.
To get from 5 to 10, we multiply by two.
To get from 10 to 9, we subtract one.
To get from 9 to 18, we multiply by two.
To get from 18 to 17, we subtract one.

Therefore, next we need to multiply by two.
17 x 2 = 34
So, the next number is 34.

To find the number after, we subtract one.
34 - 1 = 33
Thus, the number after is 33.

In conclusion, the next two numbers are 34 and 33.

Natali [406]3 years ago

4 0

34 and 33 because the pattern goes # x 2 then - 1

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From her purchased bags, Rory counted 110 red candies out of 550 total candies. Using a 90% confidence interval for the populati

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Answer:

The Confidence Interval = (0.172, 0.228)

Where:

The lower limit = 0.172

The upper limit = 0.228

Step-by-step explanation:

The formula to be applied or used to solve this question is :

Confidence Interval formula for proportion.

The formula is given as :

p ± z × √[p(1 - p)/n]

n = Total number of red candies = 550 red candles

p = proportion = Number of red candies counted/ Total number of red candies

= 110/550 = 1/5 = 0.2

z = z score for the given confidence interval.

We are given a confidence interval of 90%. Therefore, the z score = 1.6449

Confidence Interval = p ± z × √[p(1 - p)/n]

Confidence Interval = 0.2 ± 1.6449 × √[0.2(1 - 0.2)/550]

= 0.2 ± 1.6449 √0.2 × 0.8/550

= 0.2 ± 1.6449 × 0.0170560573

= 0.2 ± 0.0280555087

Hence, the Confidence Interval = 0.2 ± 0.0280555087

0.2 - 0.0280555087 = 0.1719444913

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0.2 + 0.0280555087 = 0.2280555087

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3 years ago

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3 years ago

If f(x)=x^2-1 and g(x)=-2x-3, what is the domain of (fog)(x)?

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Answer:

The domain of (fog)(x) is $\begin{bmatrix}-8 , -1\end{bmatrix}$

Step-by-step explanation:

Given function as :

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So, Function (fog)(x) = ( -2x - 3 )² - 1

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Or, (fog)(x) = 4x² + 12x + 8

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Or, (fog)(x) = 4x ( x + 1 ) + 8 ( x + 1 )

Or, (fog)(x) = ( 4x + 8 ) ( x + 1 )

∴ (fog)(x) lies between - 8 to - 1

Hence The domain of (fog)(x) is $\begin{bmatrix}-8 , -1\end{bmatrix}$ Answer

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