Answer:
Part A) [tex]55\%[/tex]
Part B) [tex]45\%[/tex]
Part C) [tex]122\%[/tex]
Part D) [tex]81.82\%[/tex]
Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y------> size of the sample space
[tex]P=\frac{x}{y}[/tex]
Part A) What percent of all children are girls?
we have that
[tex]y=360\ children[/tex]
[tex]x=198\ girls[/tex]
substitute
[tex]P=\frac{198}{360}=0.55[/tex]
Find the percentage
[tex]0.55*100=55\%[/tex]
Part B) What percent of all children are boys?
we have that
[tex]y=360\ children[/tex]
[tex]x=360-198=162\ boys[/tex]
substitute
[tex]P=\frac{162}{360}=0.45[/tex]
Find the percentage
[tex]0.45*100=45\%[/tex]
Part C) The number of girls is what percent of the number of boys?
we have that
[tex]y=162\ boys[/tex]
[tex]x=198\ girls[/tex]
substitute
[tex]P=\frac{198}{162}=1.22[/tex]
Find the percentage
[tex]1.22*100=122\%[/tex]
Part D) The number of boys is what percent of the number of girls?
we have that
[tex]y=198\ girls[/tex]
[tex]x=162\ boys[/tex]
substitute
[tex]P=\frac{162}{198}=0.8182[/tex]
Find the percentage
[tex]0.8182*100=81.82\%[/tex]
