The margin of error given the proportion can be found using the formula
Where
is the z-score of the confidence level
is the sample proportion
is the sample size
We have
Plugging these values into the formula, we have:
The result 0.14 as percentage is 14%
Margin error is 38% ⁺/₋ 14%
For these questions it is asking you to convert different measurements.
For the first part,
You must convert 10 kilometres to meters
Or 500 meters to kilometres
For this example I will covert 500 meters to kilometres
1000 meters = 1 kilometer
So 500 meters is 0.5 kilometres or half a kilometer
So on the first day you ride 10 kilometres and increase by 0.5 kilometres a day that means you increase by 1 kilometer every two days
The question is asking how many days until you get to 15 kilometres well
15-10=5
5x2 =10 so the answer to the first part is 10 days
In the second part you have to convert again I am going to convert kilometres to meters this time
We know 1km = 1000m
So you times the kilometer by 1000 to get the meters
0.75 x 1000 = 750
So you start with 7500 and increase by 750 every day
The question asks you the total after 3 days so we must find out each day and add them up
1st day: 7500
2nd day: 7500+750=8250
3rd day: 8250+750=9000
Now we must add them together so
7500+8250+9000=24750
So the answer to this part is 24750 meters
The last part is asking you to compare the programs so let’s start with training program A
20-10=10
10x2= 20
So A is 20 days
Training program B:
We know from previous questions that on the third day you do 9000 meters so we must carry on from there
4th day: 9000+750=9750
5th day: 9750 +750=10500
6th day: 10500 + 750=11250
7th day: 11250 + 750 = 12000
As you can see there is a pattern here on the 3rd day we are on 9000 and on the 7th day we are on 12000 that means it has increased by 3000 in 4 days this is because 750 x 4 = 3000
This means we know 18000 is the 15th day
We will carry on from here
16th day: 18000+750=18750
17th day: 18760+750=19500
18th day: 19500+750=20250
Here we have gone over 200000 which is 20 km on the 18th day meaning training program B is quicker
Distance after 1 minute = speed * time = 275 * 60 = 16,500 feet
Let the altitude of the plane be y, then
sin 18 = y/16500
y = 16500 sin 18 = 5,098.78 feet
The "mean" of a group of numbers is also called their "average".
To calculate the mean, add up all the numbers, then
divide the sum by the number of items on the list.
Step #1: Addum up: 3+7+2+9+4+7+3+7+5+2 = 49
Step #2: Count the number of items on the list: I count 10 .
Step #3: Divide the sum by the number of items on the list.
49 / 10 = 4.9
The mean (average) of the numbers on that list is 4.9 .
She gave away 8 apples because 13 minus 5 is 8
