Answer:
see explanation
Step-by-step explanation:
Given
3
- 2x² + 15x² - 10
Factor the first/second and third/fourth terms )
= x²(3x² - 2) + 5(3x² - 2) ← factor out (3x² - 2) from each term
= (3x² - 2)(x² + 5)
Answer: the length of the rectangle is 12 inches
Step-by-step explanation:
Let the length of the rectangle is x inches
Hence, the width is (x/2)+4 inches
Thus,

Divide both parts of the equation by 3:

Answer:
The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).
Answer:
The height of the hovercraft at the time of takeoff is 33 meters.
Step-by-step explanation:
Height of hovercraft x seconds after takeoff = h(x) = -(x - 11)(x + 3)
Height after takeoff is = h(0) = -(0 - 11)(0 + 3) = -(-11)(3) = 33
So the correct answer is 33 meters. The height of the hover craft at the time of the takeoff is 33 metres.
Answer: 33 meters.
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