The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side; then:
15 + 27 = 42; 27 − 15 = 12. Therefore, third side must be less than
42 ft ant greater than 12 ft; so, possible lenghts for third side is given by the inequality: 12 < x < 42.
Answer: A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y decreases also. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.
Step-by-step explanation:
The first account would be 720 in simple interest and the second account would be 3238.32 so subtracting would give 2518.32 more with than the first account. Comment if you need the full workings
There are some numbers missing in your table. We think the values are supposed to be the ones shown in the attachment.
The number of people that are older than 35 and have a hemoglobin level between 9 and 11 is 46. The total number of people older than 35 is 162, so the proportion of people older than 35 with the hemoglobin level of interest is ...
... 46/162 ≈ 0.284
The appropriate choice is B. 0.284.
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<em>Here's how you get there with the formula for conditional probability.</em>
P(9-11 | >35) = P(9-11 & >35)/P(>35) . . . . conditional probability formula
P(9-11 | >35) = (46/429) / (162/429) = 46/162