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2 years ago

If f(x) = x4 + 2x3 – 5x2-x + 6,

Mathematics

1 answer:

nexus9112 [7]2 years ago

6 0

Answer:

Hello,

Step-by-step explanation:

possible rational roots are:

-6/1

-3/1

-2,/1

-1/1

1/1

2/1

3/1

6/1

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When is the measure of a base angle

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The map is going to be painted at the entrance of the campsite. It will be enlarged by a scale factor of 4. How many square inch

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1 year ago

Leons older brother is 4 and 3/4 feet tall. Leon is 1/3 foot shorter than his brother .how tall is leon

Mandarinka [93]

Let

x------> height of Leon's older brother

y------> height of Leon

Convert mixed number to an improper fraction

$4\frac{3}{4}\ ft=\frac{4*4+3}{4}= \frac{19}{4}\ ft$

we know that

$x=\frac{19}{4}\ ft$ -----> equation A

$y=x-\frac{1}{3}$ -----> equation B

substitute equation A in equation B

$y=\frac{19}{4}-\frac{1}{3}=\frac{53}{12}\ ft$

Convert to mixed number

$\frac{53}{12}=\frac{48}{12}+\frac{5}{12}=4\frac{5}{12}\ ft$

therefore

<u>the answer is</u>

$4\frac{5}{12}\ ft$

6 0

2 years ago

Read 2 more answers

HighTech Inc. randomly tests its employees about company policies. Last year in the 560 random tests conducted, 26 employees fai

Tanzania [10]

Answer:

The 98% confidence interval for the proportion of applicants that fail the test is (0.025, 0.067).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

560 random tests conducted, 26 employees failed the test. This means that $n = 560, \pi = \frac{26}{560} = 0.046$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.33$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.046 - 2.33\sqrt{\frac{0.046*0.954}{560}} = 0.025$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.046 + 2.33\sqrt{\frac{0.046*0.954}{560}} = 0.067$

The 98% confidence interval for the proportion of applicants that fail the test is (0.025, 0.067).

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3 years ago

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snow_tiger [21]

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2 years ago