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Ad libitum [116K]
2 years ago
15

Question 9 Annabelle lives at Bermondsey in London. She has to speak at a conference in Birmingham at 10.30am. It will take her

an hour from her home to get to Euston Rail Station, from where she will get a train to Birmingham. The train journey from Euston to Birmingham is an hour and 10 minutes. Trains to Birmingham run at the following times: 5 minutes past the hour, 25 minutes past the hour and 45 minutes past the hour. The meeting venue in Birmingham is a 5-minute walk from the station. What is the latest time that Annabelle can leave home, if she is to make it on time for the meeting in Birmingham? Show your working. (8 marks)​
Mathematics
1 answer:
JulijaS [17]2 years ago
5 0

Answer:

Step-by-step explanation:

working backwards

the five minute walk

10:30 - 0:05 = 10:25

train ride to Birmingham

10:25 - 1:10 = 9:15

Next earliest train departure time

9:05

Getting to Euston Station

9:05 - 1:00 = 8:05 am

Probably wise to leave a couple of minutes earlier to allow for minor emergencies on the way to Euston Station or to account for potential clock synchronization errors.

The train schedule already allows an additional 10 minutes of buffer time after boarding.

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Hello there
Dafna1 [17]

Answer:

20

Step-by-step explanation:

2/3 want to go

If there are 30 people, we can find our answer pretty easily as 30 is 10 times more than 3.

2/3 = 20/30

So 20 people would like to go :O

Hope this helps, have a nice day :))

6 0
2 years ago
Read 2 more answers
The fraction of skilled workers is 4/9 , unskilled workers 1/10 supervisors 2/7 and the rest are managers if the total number of
Darina [25.2K]
This is all percentages so...
4/9 = 44%
2/7 = 29%
1/10 = 10%
Total = 83%
So 17% of 630 is left over which = 107
5 0
2 years ago
Read 2 more answers
Convert -√3-i to polar form.
Jlenok [28]

Answer:

-sqrt(3) -i = 2 cis (7pi/6)

Step-by-step explanation:

-sqrt(3) -i

We can find the radius

r = sqrt( (-sqrt(3)) ^2 + (-1) ^2)

  = sqrt( 3 + 1)

  = sqrt(4)

  = 2

theta = arctan (y/x)

          arctan (-1/-sqrt(3))

         arctan (1/sqrt(3))

theta = pi/6

But this is in the first quadrant, and we need it in the third quadrant

Add pi to move it to the third quadrant

theta = pi/6 + 6pi/6

         =7pi/6


-sqrt(3) -i = 2 cis (7pi/6)

6 0
3 years ago
Read 2 more answers
The population mean annual salary for environmental compliance specialists is about $63,500. A random sample of 35 specialists i
Anastasy [175]

Answer:

0.003

Step-by-step explanation:

By formula we know that:

z (x) = (x - m) / [sd / sqrt (n)]

where x is the value we want to know (60,000), m is the mean (63500), sd is the standard deviation (6100) and n is the sample size (35).

Replacing we have:

z (60000) = (60000 - 63500) / [6100 / sqrt (35)]

z = -3.39

If we look in the normal distribution table (attached), we have that the probability is 0.0003.

6 0
2 years ago
On Monday, three hundred forty students went on a trip to the zoo. All eight buses were filled and four
VMariaS [17]

Answer:

42.5

Step-by-step explanation:

divide it by 8.

5 0
3 years ago
Read 2 more answers
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