Answer:
Explanation:
You can build a two-way relative frequency table to represent the data:
These are the columns and rows:
Car No car Total
Boys
Girl
Total
Fill the table
- <em>30% of the children at the school are boys</em>
Car No car Total
Boys 30%
Girl
Total
- <em>60% of the boys at the school arrive by car</em>
That is 60% of 30% = 0.6 × 30% = 18%
Car No car Total
Boys 18% 30%
Girls
Total
By difference you can fill the cell of Boy and No car: 30% - 18% = 12%
Car No car Total
Boy 18% 12% 30%
Girl
Total
Also, you know that the grand total is 100%
Car No car Total
Boy 18% 12% 30%
Girl
Total 100%
By difference you fill the total of Girls: 100% - 30% = 70%
Car No car Total
Boy 18% 12% 30%
Girl 70%
Total 100%
- <em>80% of the girls at the school arrive by car</em>
That is 80% of 70% = 0.8 × 70% = 56%
Car No car Total
Boy 18% 12% 30%
Girl 56% 70%
Total 100%
Now you can finish filling in the whole table calculating the differences:
Car No car Total
Boy 18% 12% 30%
Girl 56% 14% 70%
Total 74% 26% 100%
Having the table completed you can find any relevant probability.
The probability that a child chosen at random from the school arrives by car is the total of the column Car: 74%.
That is because that column represents the percent of boys and girls that that arrive by car: 18% of the boys, 56% of the girls, and 74% of all the the children.
<h2>
Greetings!</h2>
Answer:
Area is 147.74
Step-by-step explanation:
You need to recall that the equation for the area of a rectangle is:
Length * Width = area
So 16 3/5 * 8 9/10 = area
Rearrange so the whole numbers are being multiplied and the fractions are too:
We need to make the denominator same, this can be done by simply multiplying 3/5 by 2:
3/5 * 2 = 6/10
Now the two numbers can be written as 16.6 and 8.9.
Multiply both numbers by 10:
166 * 89 = 14774
Then divide this by 100 (two lots of division by 10)
14774 ÷ 1000 = 147.74
So the area of the rectangle is 147.74!
<h2>Hope this helps!</h2>
Option B is the odd one out
Answer:
7.840136054421769
Step-by-step explanation:
Answer:
x = 11/2
Step-by-step explanation:
We would first put it in an equation
5x - 1 = 10 + 3x
We would first add 1 on both sides
5x = 11 + 3x
Then we subtract 3x on both sides
2x = 11
Divide both sides by 2
x = 11/2