2/9 - 1/5 • x write an equivalent expression
1 answer:
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- If x = 5 is a zero of the given polynomial, then,
- (x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]
- Now, divide the polynomial with (x - 5) using long division method. (See the picture)
- We get (x^2 - x - 6) as the quotient.
- Now, factorise the above polynomial:
- (x^2 - x - 6)
- = (x^2 - 3x + 2x - 6)
- = x(x - 3) + 2(x - 3)
- = (x - 3)(x + 2)
- Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)
<u>Answer</u><u>:</u>
<u>B.</u><u>(x − 5)(x − 3)(x + 2)</u>
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
(a) The 90 percent confidence interval for the population mean yearly premium is ($10,974.53, $10983.47).
(b) The sample size required is 107.
Step-by-step explanation:
(a)
The (1 - <em>α</em>)% confidence interval for population mean is:
Given:
Compute the critical value of <em>t</em> for 90% confidence level as follows:
*Use a <em>t-</em>table.
Compute the 90% confidence interval for population mean as follows:
Thus, the 90 percent confidence interval for the population mean yearly premium is ($10,974.53, $10983.47).
(b)
The margin of error is provided as:
MOE = $250
The confidence level is, 99%.
The critical value of <em>z</em> for 99% confidence level is:
Compute the sample size as follows:
Thus, the sample size required is 107.