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Fantom [35]
3 years ago
15

A sample of 100 cars driving on a freeway during a morning commute was drawn, and the number of occupants in each car was record

ed. The results were as follows: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Occupants 1 2 3 4 5 Number of Cars 64 19 12 3 2 Find the sample median number of occupants.
Mathematics
1 answer:
katen-ka-za [31]3 years ago
3 0

Answer:

The sample median number of occupants is 1.

Step-by-step explanation:

Median:

The measure that separates the lower half of the distribution from the upper half.

In this question:

Total of 100 cars.

64 have 1 occupant.

19 have 2 occupants

12 have 3 occupants

3 have 4 occupants

2 have 5 occupants.

Median:

In the cumulative distribution

100/2 = 50

While we count until 64, it has 1 occupant, so 50 is one occupant, which means that the sample median is 1.

The sample median number of occupants is 1.

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A flagpole is 20 feet tall is casting a shadow that is 8.2 feet long at what angle is the sun hitting the ground
Novay_Z [31]

Answer:

∅ = 67.71°

Step-by-step explanation:

The flag pole is 20 ft tall is casting a shadow that is 8.2 ft long .At what angle is the sun hitting the ground. The illustration forms a right angle triangle.

The right angle triangle has an hypotenuse, opposite and adjacent sides. The flag height forms the opposite side. The shadow forms the adjacent side . The angle the sun is hitting the ground can be using SOHCAHTOA principle.

using Tan

tan ∅ = opposite / adjacent

tan ∅ = 20/8.2

tan ∅ = 2.4390243902

∅ = tan⁻¹ 2.4390243902

∅ = 67.7063708403

∅ = 67.71°

7 0
3 years ago
The following list shows the favourite colours of some students:
tresset_1 [31]

Answer: Green

Explanation:

Mode is the number (or in this case, color) that appears the most amount of times.

This is how many time each color appears:

Green: 3

Black: 3

Blue: 1

Red: 4

Orange: 2

Since Green appears the most, the mode is Green.

7 0
3 years ago
I saved $100 to spend over the summer. I decide to budget $20.00 to spend each week, how can I write an equation that represents
Nata [24]
100-20x

x is the number of weeks
100 is the amount you have
20 is your budget
6 0
3 years ago
Every week I buy four 2-litre bottles of lemonade whilst shopping at my local supermarket. Last week the bottles on the shelf we
Mumz [18]

Answer:

40%

Step-by-step explanation:

Every week you he buys 4 number of 2 Litres bottle of lemonade.

Thus, let's say cost of each bottle is X.

This means he total cost is 4X

Now, total litres = 4 × 2 = 8 litres

Thus, cost per litre = 4X/8 = ½X

Now, we are told that Last week the bottles on the shelf were limited edition “2.5 litres for the price of 2 litres” bottles ".

This means that now, it is cheaper.

However, the supermarket also had a “buy 3 bottles, get another one free” offer.

Now since he buys 8 litres weekly, now since it's 2.5 L bottle, he will buy 3 since he will be given 1 free for every 3 he buys.

Thus, total litres he is paying for = 2.5 × 3 = 7.5 litres

Thus, cost per bottle is; 3X

Since he is getting 1 bottle free, then total bottle he gets is; 7.5 L + 2.5 L = 10L

Thus;

cost per litre is now; 3X/10

Difference in costs per litre is;

½X - 3X/10 = X/5

percentage of the cost of four bottles of lemonade lower than usual last week = (X/5)/(½X) × 100% = 2/5 × 100% = 40%

7 0
4 years ago
It takes 1 cup of water to cook 1 cup of rice. If kaitlyn is making 4 cups of rice, how many ounces of water does she need?
Dahasolnce [82]
There is eight ounces in one cup. And she needs 4 cups of water. Eight times 4 equals 32. She needs 32 ounces of water
8 0
3 years ago
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