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Anettt [7]
3 years ago
14

Peter is a long distance runner. In a training session he runs around the 400 m track 23 times. He wanted to run a distance of 1

0 km. How many more times does he need to run around the track to achieve this?
Mathematics
1 answer:
tigry1 [53]3 years ago
7 0

Answer:

2

Step-by-step explanation:

Currently, Peter has run a total distance of 400\cdot 23 =9200\:\text{m}. His goal is 10 km, as stated in the problem, which equates to 10,000 meters. Thus he will need to run 10,000-9,200=800 more meters to achieve his goal. Since the track is 400 meters, he needs to run around the track \frac{800}{400}=\boxed{2} more times to achieve his goal.

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The test scores of 32 students are listed below. Construct a boxplot for the data set and include the values of the 5-number sum
zhenek [66]

Answer:

Boxplot is constructed using quartiles and 5 No. summary means including minimum value of data, 1st quartile, 2nd quartile, 3rd quartile and maximum value of data.

As data already in increasing order, we find quartiles using the following formula,

value\:of\:K_{th}\:Quartile\:,\, Q_k=\:value\:of\:(\frac{k\times{(n+1)}}{4})\,\:th\,observation

where n = No. of Observations.

∴, 1st Quartile,

Q_1 = \frac{1\times{(32+1)}}{4}\, th\:\:observation\\\\ \:\:\:=8.25\,th\:observation\\\: \:\:= 8th\,+0.25(9th-8th)\\\:\:\:= 55 + 0.25(57-55)\\\:\:\:= 55.5

2nd Quartile,

Q_2 = \frac{2\times{(32+1)}}{4}\, th\:\:observation\\\\ \:\:\:=16.5\,th\:observation\\\: \:\:= 16th\,+0.5(17th-16th)\\\:\:\:= 69 + 0.5(70-69)\\\:\:\:= 69.5

3rd Quartile,

Q_3 = \frac{3\times{(32+1)}}{4}\, th\:\:observation\\\\ \:\:\:=24.75\,th\:observation\\\: \:\:= 24th\,+0.75(25th-24th)\\\:\:\:= 79 + 0.75(81-79)\\\:\:\:= 80.5

Minimum value of data = 32 & Maximum value of data = 99

So, Values of 5 no. that are to ne include in Boxplot are 32, 55.5, 69.5, 80.5, 99.

BoxPlot is attached with this ans.

7 0
3 years ago
Directions: Using only numbers 1-6 (and only once per inequality), fill in the boxes to create a true statement with the smalles
yuradex [85]

Answer:

1.40

Step-by-step explanation:

√2=1.41

So, the smallest possible interval will be 1.40 and 1.42

√3=1.73

So, the smallest possible interval will be 1.72 and 1.74

√4=2.00

So, the smallest possible interval will be 1.99 and 2.01

√5=2.24

So, the smallest possible interval will be 2.23 and 2.25

√6=2.45

So, the smallest possible interval will be 2.44 and 2.46


7 0
3 years ago
Drew drives his car and Rachel drives her truck in the same direction on the highway at constant speeds for 3.25 hours. During t
never [62]

Answer:

After 4.5 hours of driving at the same constant speeds, Drew and Rachel are 6.5 miles apart.

Hope This Helps :)

4 0
3 years ago
Addison plays 1/2 of a song in 1/4 of a minute. How minutes will she need to play a full song?
STALIN [3.7K]

Answer:

30 minutes

Step-by-step explanation:

She plays 1/2 of a song in 1/4 of a minute so that would be 15 minutes because if you divide 60 by 4 you would get 15. You would multiply 15 by 2 because if she plays a full song you multiply 1/2 by 2 to get a whole. So she will need 30 minutes to play a full song

6 0
3 years ago
Read 2 more answers
A rectangle has a perimeter of 30 yards. If one side is 5 yards long, how long is the other side?
vagabundo [1.1K]

Answer:

C. 10

Step-by-step explanation:

5+5=10

10+10=20

10+20=30

5 0
3 years ago
Read 2 more answers
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