Answer:
4
Step-by-step explanation:
B = (6,5) C = (6,9)
√(x2 - x1)² + (y2 - y1)²
√(6 - 6)² + (9 - 5)²
√(0)² + (4)²
√16
= 4
<h3>
Answer: 1</h3>
Point B is the only relative minimum here.
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Explanation:
A relative minimum is a valley point, or lowest point, in a given neighborhood. Points to the left and right of the valley point must be larger than the relative min (or else you'd have some other lower point to negate its relative min-ness).
Point B is the only point that fits the description mentioned in the first paragraph. For a certain neighborhood, B is the lowest valley point so that's why we have a relative min here.
There's only 1 such valley point in this graph.
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Side notes:
- Points A and D are relative maximums since they are the highest point in their respective regions. They represent the highest peaks of their corresponding mountains.
- Points A, C and E are x intercepts or roots. This is where the graph either touches the x axis or crosses the x axis.
- The phrasing "a certain neighborhood" is admittedly vague. It depends on further context of the problem. There are multiple ways to set up a region or interval of points to consider. Though visually you can probably spot a relative min fairly quickly by just looking at the valley points.
- If you have a possible relative min, look directly to the left and right of this point. if you can find a lower point, then the candidate point is <u>not</u> a relative min.
Answer:
6.40 saved 33.60 needed
Step-by-step explanation:
She needs $40 *16% = $6.40
$6.40 saved - $40 = $33.60 needed
If you want to increase something by 3%, you would ADD 100% to it, so:
3% + 100% = 103%
Then you divide it by 100 to turn it into a decimal, so:
103% / 100 = 1.03
So to increase by 3%, the multiplier would be 1.03
If you wanted to decrease by 3%, you would SUBTRACT 100% from 3%, so:
100% - 3% = 97%
And then you would divide 97% by 100 to turn it into a decimal (multiplier), so:
97% / 100 = 0.97
So to decrease by 3%, the multiplier would be 0.97
Answer:
0.621
Step-by-step explanation:
Number of people that have run a red light in the last year = 290
Number of people that have not run a red light in the last year = 177
Total number of respondents = 290 + 177
= 467
Pr(if a person is chosen at random, they have run a red light in the last year) = 
= 
= 0.621
The probability that if a person is chosen at random, they have run a red light in the last year is 0.621.
