Which graph accurately indicates the region, shaded in green, that would determine the solution for
2 answers:
Answer:
Second graph
Step-by-step explanation:
Given inequality,
| x + 7 | - 2 ≥ 0
| x + 7 | ≥ 2
x + 7 ≥ ± 2
x ≥ -7 ± 2
⇒ x ≥ -7 + 2 or x ≥ -7 - 2
⇒ x ≥ -5 or x ≥ -9,
Thus, in the shaded region x ≥ -5 or x ≥ -9,
In the given graphs, the shaded region represents by green,
In the first graph, green line lies in the region -9 ≤ x ≤ -5
Thus, it can not be the graph of the given inequality,
In the second graph, green line lies in the region x ≥ -5 or x ≥ -9
Hence, second graph would be the answer.
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Answer: 0.332 < p < 0.490
Step-by-step explanation:
We know that the confidence interval for population proportion is given by :-
, where n= sample size
= sample proportion
z* = critical z-value.
As per given , we have
n= 258
Sample proportion of college students who own a car =
Critical z-value for 99% confidence interval is 2.576. (By z-table)
Therefore , the 99% confidence interval for the true proportion(p) of all college students who own a car will be :
Hence, a 99% confidence interval for the true proportion of all college students who own a car : 0.332 < p < 0.490