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expeople1 [14]
3 years ago
5

A train travels at an average speed of 18 m/s.

Mathematics
1 answer:
GrogVix [38]3 years ago
8 0

Answer:

28 seconds

Step-by-step explanation:

speed = distance/time

speed * time = distance

time = distance/speed

time = (500 m)/(18 m/s)

time = 27.777... seconds

Answer: 28 seconds

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The owner of an auto repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following
labwork [276]

Answer:

(d)0.6

Step-by-step explanation:

(a)Frequency Distribution

\left|\begin{array}{c|c}$Waiting Time(in Minutes)&$Frequency\\-----------&--\\0-4&4\\5-9&8\\10-14&5\\15-19&2\\20-24&1\\--&--\\Total&20\end{array}\right|

(b)The relative frequency distribution.

\left|\begin{array}{c|c}$Waiting Time(in Minutes)&$Relative Frequency\\-----------&--\\0-4&4/20=0.2\\5-9&8/20=0.4\\10-14&5/20=0.25\\15-19&2/20=0.1\\20-24&1/20=0.05\\--&--\\Total&1\end{array}\right|

(c)The cumulative frequency distribution.

\left|\begin{array}{c|c|c}$Waiting Time(in Minutes)&$Frequency&$Cumulative Frequency\\-----------&--&---\\0-4&4&4\\5-9&8&12\\10-14&5&17\\15-19&2&19\\20-24&1&20\\--&--&--\\Total&20\end{array}\right|

(d)The proportion of customers needing an oil change who wait 9 minutes or less.

Proportion of customers needing an oil change who wait 9 minutes or less.

=\dfrac{12}{20} \\\\=0.6

5 0
3 years ago
F(n)=5.(-2)n-1<br>Complete the recursive formula of f(n).​
Alex73 [517]

Answer:

a(n) = (-2)(a_{n-1})

a_{1}=5

Step-by-step explanation:

The given expression is in the form of the explicit formula of a geometric sequence.

f(n) = a(r)^{n-1}

Where 'a' = First term of the sequence

r = common ratio

Recursive formula of a geometric sequence is,

a(n) = (a_{n-1}).(r)^{n-1}

a(n) = (-2)(a_{n-1})

Where, a_{1}=5

So the recursive formula will be a(n) = (-2)(a_{n-1})

6 0
3 years ago
Jodie ran at an average speed of 10 km/h for 15 minutes.<br> How far did she run in km?
laiz [17]

Answer:

2.5 km

Step-by-step explanation:

15 minutes is

15 minutes * 1 hour/ 60 minutes = 1/4 hour

15 minutes = 1/4 of an hour

10 km/ hour * 1/4 hour = 10/4  km  = 2.5 km

5 0
3 years ago
Read 2 more answers
(PLEASE HELP!! AND NO LINKS OR I WILL REPORT YOU!)
Darina [25.2K]

Answer:

10x + 15

Step-by-step explanation:

x - 1 = 1 (2).

x + 4 x 10x + 15 / 2.445

x + 4 (2) / 2.445 = x1 - 4

10x + 15

3 0
3 years ago
Read 2 more answers
Solve the system of linear equations below. 4x - 3y = 17 5x + 4y = 60
LenaWriter [7]
4x-3y=17......(1)
5x+4y=60......(2)

Multiply equation (1) by 4 and equation (2) by 3:-

16x - 12y = 68
15x + 12y = 180

Adding these 2 equations:_

31x = 248
x = 248/31 = 8

Now substitute x = 8 in equation (1):-

4(8) - 3y = 17
32-3y = 17
-3y = -15
y = -15/-3 = 5

So solution is x=8,y=5
5 0
3 years ago
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