Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
f(x) = 2(x - 3)² - 4 ← is in vertex form
with (h, k) = (3, - 4), thus
1 the vertex is (3, - 4 )
Consider the value of a
• If a > 0 then graph opens up and is a minimum
• If a < 0 then graph opens down and is a maximum
2 Here a = 2 thus the graph opens up
The max/ min value of the function is the y- coordinate of the vertex, thus
3 The function has a minimum value of - 4
The median is the middle number. To find the median, put the numbers in order of least to greatest.
2,3,4,5,5,5,8
The middle number is the one that is the median. Because there are seven numbers, the exact number in the middle is 5, making it the median.
Determine first the difference between the incorrectly measured board and the correct one. The subtraction would result to 1.2 ft. The percent error is calculated by dividing this value by the correct value and then multiply by 100%. (1.2 ft / 12 ft) x 100% = 100%. Thus, the percent error is 10%.
Answer:

Step-by-step explanation:
<u>Confidence Interval</u>
When the population standard deviation
is known, the formula for a confidence interval for a population mean
is:

Where n is the sample size and z is the corresponding z-value from the standard normal distribution for the selected confidence level. The value of z for a 95% confidence interval is z=1.96. The rest of the values are

Calculating the confidence interval


Or, equivalently
