Answer:
Statement 1
The graph has a minimum.
This statement is true. The graph has a minimum at x = -1 that is f(-1) = -9.
Statement 2
The graph has a maximum.
The statement is false. As there is no downward curve nor a rigid endpoint but the graph is continuous in upward direction.
Statement 3
The graph has zeros of -4 and 2.
The statement is true because f(-4) = 0 and f(2) = 0.
Statement 4
The vertex is located at (-1, -9).
The statement is true as apparent in the graph.
Statement 5
The solution of the quadratic function represented by the graph is (-1, -9).
The statement is false. Solution of the graph is at the point where f(x) becomes zero. At (-1,-9), f(x) = -9. Hence solution is not at point (-1,-9).
Statement 6
The y-intercept of the graph is (0, -8).
The statement is true. y-intercept of a graph is where the graph intercept the y-axis which means x = 0. As x = 0 at (0, -8), it is the y-intercept of the graph.
Answer: We will reject the null hypothesis.
Step-by-step explanation:
Since we have given that
Mean μ = 71.5 lbs
Standard deviation σ = 7.5 lbs
So, the hypothesis are given below:
Since α = 5% level of significance = 0.05
So, there is two tail test.
Critical values of z are 1.96 and -1.96.
So, we will reject H₀ if z<-1.96 or z>1.96
So, first we will find the value of z.
According to test statistic approach:
Since z >1.96
as 4.39>1.96
So, we will reject the null hypothesis.
Answer:
4600
Step-by-step explanation:
This is an arithmetic sequence with common difference d between consecutive terms.
d = - 2 - (- 6) = 2 - (- 2) = 6 - 2 = 4
The sum to n terms of an arithmetic sequence is
= 
[ 2a + (n - 1)d ]
where a is the first term
here a = - 6, d= 4 and n = 50, hence
= 
[ (2 × - 6) + (49 × 4) ]
= 25 ( - 12 + 196 )
= 25 × 184
= 4600
Answer:
Step-by-step explanation:
