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exis [7]
3 years ago
14

A hiker walks up and down a hill. The hill’s cross section can be modeled by the function y = – 3/4|x – 300| + 400 where x and y

are measured in feet and D: [0, 600]. How far does the hiker walk?

Mathematics
1 answer:
Mkey [24]3 years ago
6 0

Find the vertex by either graphing ( See attached picture) or setting the value in the absolute value bracket to 0:

Vertex is (300,400)

Because it is symmetrical, find the length of one side and double ot for total distance.

Using the distance formula shown on the attached picture.

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Please solve this question faaaast​
Kazeer [188]

Answer:

300-400

Step-by-step explanation:

The first step is finding the total of the data we have. So, we take 5 + 10 + 15 + 20 + 25 + 15 + 10 which equals 80.

The median is the middle point of all the data. If it's an odd number, you can calculate the median with the equation (n+1) / 2, plugging in the total amount of data for n.

When it's an even number though, there is no one middle point since the data splits evenly in 2, so we have to use 2 equations: n/2 & (n/2) + 1. Then, we find the average of those two data points. (Although, you don't have to do that for this particular question).

When we plug 80 in for n in both of these equations, we get 40 and 41.

To where this is in the question, we have to count up from the bottom of the chart. 1-5 is below 100, 6-15 is 100-200, 16-30 is 200-300, and 31-50 is 300-400.

Since 40 and 41 are between 31 and 50, the answer is 300-400.

Hope this helps! :)

6 0
2 years ago
Using slope formula find the slope of the line through the points 0,0 and 3,12 use the pencil and paper
sertanlavr [38]

Answer:

wouldn't it be 3,12.....................

7 0
2 years ago
Read 2 more answers
The scores on a test are normally distributed with a mean of 78 and a standard deviation of 13. Find the score that is 2 standar
Veronika [31]

Answer:

52

Step-by-step explanation:

Given that :

Mean (m) = 78

Standard deviation (s) = 13

Score that is 2 standard deviations below the mean

Using the relation :

Zscore = (x - m) / s

2 standard deviations below the mean means a Zscore of - 2

Hence,

-2 = (x - 78) / 13

Cross multiply

-2 * 13 = x - 78

-26 = x - 78

x = - 26 + 78

x = 52

Score which is 2 standard deviations below the mean is 52

4 0
3 years ago
The temperature changed from 7°f at 6pm to -5°f at midnight. What was the difference between the high an low temperatures? Whats
Ronch [10]

Answer:

Difference between high and low temperatures: 12°F

Average change in temperature per hour: 2°F

Step-by-step explanation:

The difference between high and low temperatures was: 7 - (-5) = 12 (°F)

Midnight is 12am, so 6pm to midnight is 6 hours.

The average change in temperature per hour is: 12 / 6 = 2 (°F)

7 0
3 years ago
Fill the table using this function rule.
ElenaW [278]
Y=29-2(1)
y=29-2=27
(1,27)
y=29-2(3)
y=29-6=23
(3,23)
y=29-2(4)
y=29-8=21
(4,21)
y=29-2(5)
y=29-10=19
(5,19)
7 0
3 years ago
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