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RUDIKE [14]
3 years ago
6

Please help. Thanks!

Mathematics
1 answer:
Naddik [55]3 years ago
8 0

Answer:

84.9%

Step-by-step explanation:

First we need to calculate the total number of people. Total number of people will be the sum of all the given frequencies of all classes. There are 9 classes in total that are shown on the histogram

So,

Total number of people = 40 + 40 + 35 + 35 + 25 + 25 + 25 + 25 + 15 = 265

Now we need the number of people who took less than 40 seconds. This will be equal to sum of all frequencies below the time 40 seconds. i.e.

Number of people who took less than 40 seconds = 40 + 40 + 35 + 35 + 25 + 25 + 25 = 225

Formula to calculate percentage is:

Percentage = \frac{\text{Desired Part}}{\text{Total}} \times 100\%

So, percentage of people who took less than 40 seconds = \frac{225}{265} \times 100\% = 84.9\%

Thus, 84.9% of people took less than 40 seconds to complete the task.

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Answer:

2√5

Step-by-step explanation:

d = √(x2 - x1)² + (y2 - y1)²

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Starting at the same point at the same time, Samuel and Heather rode their bikes in the same direction. Samuel traveled 3km/h fa
12345 [234]

Samuel was going with 40 km/h and Heather was going with 37 km/h

Step-by-step explanation:

Starting at the same point at the same time, Samuel and Heather rode their bikes in the same direction

  • Samuel traveled 3 km/h faster than Heather
  • After 3.5 h Samuel stopped for a half-hour break, but Heather kept going
  • Heather was 8 km ahead of Samuel

We need to find how fast each was going

Assume that Heather's speed is x km/h

∵ Heather's speed = x km/h

∵ Samuel traveled 3 km/h faster than Heather

∴ Samuel's speed = x + 3 km/h

The formula of the distance is distance = speed × time

∵ Samuel travel for 3.5 hours

- Find the distance that Samuel traveled in 3.5 h

∴ Samuel distance = (x + 3) × 3.5

- Multiply the bracket by 3.5 to simplify

∴ Samuel distance = 3.5x + 10.5

∵ Samuel took a break for half hour

∵ Heather kept going

∵ At the end of the break, Heather was 8 km ahead of Samuel

- That means Heather was going for 4 hours (3.5 + 0.5), and her

   distance is longer than Samuel distance by 8 km

∴ Heather distance = x × 4 = 4x

- Subtract the distance of Samuel from the distance of Heather

   and equate the difference by 8

∵ 4x - (3x + 10.5) = 8

∴ 4x - 3x - 10.5 = 8

- Add the like terms in the left hand side

∴ 0.5x - 10.5 = 8

- Add 10.5 to both sides

∴ 0.5x = 18.5

- Divide both sides by 0.5

∴ x = 37

∵ x represents Heather's speed

∴ Heather's speed = 37 km/h

∵ x + 3 represents Samuel's speed

∴ Samuel's speed = 37 + 3 = 40 km/h

Samuel was going with 40 km/h and Heather was going with 37 km/h

Learn more:

You can learn more about the equation of motion in brainly.com/question/568302

#LearnwithBrainly

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