Answer:
b. The method used to calculate the confidence interval has a 90% chance of producing an interval that captures the population mean number of annual pass holders in the park on any given day.
Step-by-step explanation:
The confidence interval calculated from the sample at a particular confidence level, gives a certain percentage of confidence based on the confidence level that the true mean of the population exists within the confidence interval Calculated.
For the scenario above, we can say that there is a 90% chance that the population mean number of annual pass holders in the park on a given day is within the interval (35, 51)
Work backwards from vertex form. Vertex form of a quadratic equation/parabola is the following:
f(x) = a(x - h)² + k, where (h, k) is the vertex.
f(x) = a(x - 6)² - 9
Now, plug in the point that you're given to SOLVE FOR A. Remember that f(x) is just another way of writing y.
8 = a(1)² - 9
8 = a - 9
a = 17
So, plug in a = 17 into the equation.
<span>f(x) = 17(x - 6)² - 9 ←← your answer.
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Answer: The probability that the sum is less 7 or less is 20/51.
First, we start by selecting an ace because the question says one card is an ace. Therefore, our final probability is out of 51.
Our goal is to have 7 or less. That means we can draw a 2, 3, 4, 5, or 6. Since, there are 4 of each type, we have 4 x 5 = 20 different possibilities.
Answer: 
Step-by-step explanation:
For it to bisect the segment, we need to find the midpoint.
The midpoint is 
Now, for it to be perpendicular, we need to use the fact that perpendicular lines have slopes that are negative reciprocals of each other.
The slope of the given segment is 
, so the slope of the perpendicular bisector is 
Thus, the equation of the line in point-slope form is 
The population of the island with growth rate of 4.5% per year and the current population is 1500 is 1953 after 6 years.
<h3>How to solve an
exponential function</h3>
Let y represent the population after x years.
Given that the growth rate is 4.5% per year and the current population is 1500.
Hence a = 1500, b = 100% + 4.5% = 104.5% = 1.045
y = 1500(1.045)ˣ
After 6 years:
y = 1500(1.045)⁶ = 1953
The population of the island with growth rate of 4.5% per year and the current population is 1500 is 1953 after 6 years.
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