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3 years ago

Which expression is equivalent to sin^2 x-sin x - 2/sin x -2

1 answer:

3 0

Set sin x to a variable, i.e. u

u^2-u-2/u-2.

Factor:

(u-2)(u+1)/(u-2)

Simplify by canceling the u-2s...

leaving u+1. Since we substituted u for sin x...
the answer is A. sin x + 1

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kondor19780726 [428]

Answer:

The 95% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

Step-by-step explanation:

Our sample size is 96.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

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Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 95 and 0.025 in the t-distribution table, we have $T = 1.9855$ .

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{5.6}{\sqrt{96}} = 0.57$

Now, we multiply T and s

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For the lower end of the interval, we subtract the mean by M. So $19.6 - 1.31 = 18.29$

For the upper end of the interval, we add the mean to M. So $19.6 + 1.31 = 20.91$

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3 years ago

9) Nancy starts a race at the start line and she is running 3 meters per second. Juan starts the same race 3 meters ahead of Nan

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Given:

Nancy is running 3 meters per second.

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To find:

The equations for Nancy and Juan.

Solution:

Let x be the number of seconds.

Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is

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Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is

$y=3+2x$

Therefore, the equations of Nancy and Juan are $y=3x$ and $y=3+2x$ respectively.

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Answer:

Step-by-step explanation:

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