Two different functions are shown. Function A: Function B: y = (x + 3)2 + 5 Which statement best compares the two functions? The
1 answer:
The true statement is (d) The minimum of function A occurs 7 units lower than the minimum of function B.
<h3>How to determine the true statement?</h3>From the graph of function A (see attachment), the minimum value is:
Minimum of A = -2
The equation of function B is given as:
y = (x + 3)² + 5
The vertex (i.e. minimum) of the above function
Vertex = (-3,5)
This means that:
Minimum of B = 5
By comparison, -2 is 7 units smaller than 5
Hence, the minimum of function A occurs 7 units lower than the minimum of function B.
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Answer:
Step-by-step explanation:
From the attached photo
mean = 15.76
Standard deviation = 1.66
c) We want to determine a 90% confidence interval for the mean growth of pea plants
For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
15.76 ± 1.645 × 1.66/√7
= 15.76 ± 1.645 × 0.63
= 15.76 ± 1.04
The lower end of the confidence interval is 15.76 - 1.04 =14.72
The upper end of the confidence interval is 15.76 + 1.04 =16.8
