Based on the given texts in the table about the graph of the function, the true statements are:
- The graph crosses the y-axis at (0,-15).
- The graph has a point of discontinuity at x = -2.
- The graph is increasing over the interval (4, ∞o).
- The domain of the function is all real numbers.
<h3>Which statements are true of the graph of the function?</h3>
The function, 4x - 15 shows that 15 is the y-intercept which means that the graph will cross the y-axis at (0,15).
The point of discontinuity is x = - 2 and we see this with the gap created at x < -2 and -2 ≤ x ≤ 4.
The graph is indeed increasing over the interval (4, ∞o) because any value of x that is greater than 4 will increase f(x) = .
The domain of the function is also all real numbers as it begins at negative infinity and ends at infinity, (-∞, ∞).
Find out more on point of discontinuity at brainly.com/question/9553665.
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Given Information:
Number of lithium batteries = n = 16
Mean life of lithium batteries = μ = 645 hours
Standard deviation of lithium batteries = σ = 31 hours
Confidence level = 95%
Required Information:
Confidence Interval = ?
Answer:
Step-by-step explanation:
The confidence interval is given by
Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of
tα/2 = (1 - 0.95) = 0.05/2 = 0.025
and the degree of freedom is
DoF = n - 1 = 16 - 1 = 15
The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)
Therefore, the 95% confidence interval is 628.5 to 661.5 hours
What does it mean?
It means that we are 95% confident that the mean life of 16 lithium batteries is within the interval of (628.5 to 661.5 hours)
Answer:
87/40
Step-by-step explanation:
change the fractions to improper form so it will be 19/5 in total and 13/8 on sat .
now subtract total and the sat one
19/5- 13/8
get the same denominator
152/40 - 65/40
87/40