. The coordinates of the vertices of quadrilateral CUBE are C(1, 5), U(4, 3), B(0, -3), and E(-3, -1). Eric states that the quad
rilateral is a rectangle. Prove or disprove Eric’s statement. Make sure to explain why Eric is right or wrong and be sure to show all work.
Hint: Identify the characteristics of a rectangle (there are 2). Use algebra to discover if this quadrilateral has those characteristics, or not.
Hint: Identify the characteristics of a rectangle (there are 2). Use algebra to discover if this quadrilateral has those characteristics, or not.
1 answer:
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Answer:
Given,
The initial population, P = 87,000,
Annual rate of increasing, r = 1.9 %,
a) Thus, the population after t years,
Where, k is the rate constant,
By comparing,
Hence, the approximate value of k is 0.00817.
And, the exponential growth function would be,
b) If A = 145,000,
By using graphing calculator,
We get,
The year after 27 years from 2016 is 2043.
Hence, in 2043 the population reach 145,000.
Answer:
Step-by-step explanation:
The sample proportion
The null hypothesis and the alternative hypothesis:
Thus; the test statistics is:
P-value = 2 × P(Z< - 1.768)
From the z tables
P-value = 2 × 0.03853
P-value = 0.07706
Thus, the p-value is 0.05 < P-value < 0.10