Big babies: The Center for Disease Control and Prevention reports that 25% of baby boys 6-8 months old in the United States weig
1 answer:
Answer:
Yes, it is unusual if more than 8 of 16 baby boys weigh more than 20 pounds
Step-by-step explanation:
Given: 25% of baby boys 6-8 months old in the United States weigh more than 20 pounds. A sample of 16 babies is studied.
To find: whether it is unusual that more than 8 baby boys weigh more than 20 pounds
Solution:
Number of babies in a sample = 16
According to report of the Center for Disease Control and Prevention, 25% of baby boys 6-8 months old in the United States weigh more than 20 pounds.
So, baby boys weigh more than 20 pounds.
But in the question, it's given that more than 8 baby boys weigh more than 20 pounds.
So, yes, it is unusual.
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<h3>3 Answers: Choice D, Choice E, Choice F</h3>
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Explanation:
The inequality 6x - 10y ≥ 9 solves to y ≤ (3/5)x - 9/10 when you isolate y.
Graph the line y = (3/5)x - 9/10 and make this a solid line. The boundary line is solid due to the "or equal to" as part of the inequality sign. We shade below the boundary line because of the "less than" after we isolated for y.
Now graph all of the points given as I've done so in the diagram below. The points in the blue shaded region, or on the boundary line, are part of the solution set. Those points are D, E and F.
We can verify this algebraically. For instance, if we weren't sure point E was a solution or not, we would plug the coordinates into the inequality to get...
6x - 10y ≥ 9
6(5) - 10(2) ≥ 9 .... plug in (x,y) = (5,2)
30 - 20 ≥ 9
10 ≥ 9 ... this is a true statement
Since we end up with a true statement, this verifies point E is one of the solutions. I'll let you check points D and F.
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I'll show an example of something that doesn't work. Let's pick on point A.
We'll plug in (x,y) = (-1,1)
6x - 10y ≥ 9
6(-1) - 10(1) ≥ 9
-6 - 10 ≥ 9
-16 ≥ 9
The last inequality is false because -16 is smaller than 9. So this shows point A is not a solution. Choices B and C are non-solutions for similar reasons.