The remainder is 4, see attachment for detailed answer:
Answer:
x=2
Step-by-step explanation:
3 times 2 + 2 = 8 = 2 times 2 + 4 = 8
Answers:
Domain = [-3, 3]
Range = [-1, 2]
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Explanation:
The domain is the set of all allowed x inputs. Visually, the left-most point is when x = -3, so -3 is the smallest allowed x input. We have a closed circle at this endpoint, so this endpoint x value is included. In contrast, if you had an open circle, then you would exclude the endpoint.
Similarly, we have a closed endpoint at the other side as well when x = 3. This is the largest allowed x value. The domain is the set of x values such that
meaning x is between -3 and 3, including both endpoints. This translates to the interval notation of [-3, 3]. The square brackets say "include the endpoint".
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The range is the set of possible y outputs of a function. The lowest the function goes is when y = -1, and the highest is when y = 2. We include both endpoints. The range as a compound inequality is
which converts to the interval notation of [-1, 2]
(9x - 1)² = <em>81x² - 18x + 1</em>
Answer:
the 95% confidence interval to estimate the population mean is between 1.62 and 6.50
Step-by-step explanation:
given data
distribution = 4.5, 6.4, 2.3, 1.8, 5.3
so n = 5
confidence interval = 95%
to find out
the population mean is between
solution
first we calculate the mean i.e.
mean =
mean = 4.5+ 6.4+ 2.3+ 1.8+ 5.3 / 5
mean = 4.06
now we calculate the standard deviation i.e.
standard deviation = 
standard deviation = 
standard deviation = 
standard deviation = 
standard deviation = 2.226544
so 95 % confidence interval is i.e. mean +/- t(5) * standard deviation/ 
here t(5) will be 2.45
so
95 % confidence interval= 4.06 +/- 2.45 * 2.226 / 
95 % confidence interval= 1.62 and 6.50