Answer:
Step-by-step explanation:
Answer:
Option A: (4, -15).
Step-by-step explanation:
Given the quadratic function, y = x² - 8x + 1, where a = 1, b = -8, and c = 1:
<h3><u>Solve for the x-coordinate of the vertex:</u></h3>
We can use the following equation to solve for the x-coordinate of the vertex:

Substitute the given values into the formula:

Hence, the x-coordinate of the vertex is 4.
<h3><u>Solve for the y-coordinate of the vertex:</u></h3>
Next, substitute the x-coordinate of the vertex into the given quadratic function to solve for its corresponding y-coordinate:
y = x² - 8x + 1
y = (4)² - 8(4) + 1
y = 16 - 32 + 1
y = -15
Therefore, the vertex of the given quadratic function, y = x² - 8x + 1, is: x = 4, y = -15, or (4, -15). Thus, the correct answer is Option A: (4, -15).
Answer:
Step-by-step explanation:
The confidence level tells us how sure we can be. It is expressed as a percentage and represents how often the true percentage of the population who would pick an answer lies within the confidence interval. The 95% confidence level means you can be 95% certain.
b) The confidence interval is needed to estimate the percentage of democrats voters that will vote for Elizabeth Warren in the presidential primaries. 48% tells us the percentage of democrats voters that will vote for Elizabeth Warren in the presidential primaries of a given sample not for the all voters.
c) We are 95% confident that between 45% and 51% of all voters support women.
Step-by-step explanation:
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