Step-by-step explanation:
You have 3/5 of an apple pie" means you have 3 pieces of the 5-piece pie
"You divide the remaining pie into 5 equal slices." means
(3/5 pie) / 5
The math:
(3/5 pie) / 5
is also
(3/5 pie) * (1/5) [to divide by fraction 5/1, invert to 1/5 and multiply]
is also (1/5) * (3/5 pie)
[This means 1/5 of the 3/5 of a pie that is left of"]
So,
each slice is (1/5)*(3/5) pie = 3/25 pie [multiply numerators and denominators]
These ones always feel weird. But we will read the problem directly and do what it says.
So it is 3/5 divided by 5.
Or 3/5/5.
But that looks really weird, so lets think of it like multiplying by 1/5 instead (which is the same as dividing by 5)
So, (3/5) * (1/5) which equals 3/25.
Everyone gets 3 twenty fifths of a pie.
Since it is a translation, all points are translated over the same distance so the answer for CC' is the same as for DD'.
D travels 4 horizontally and 3 vertically, and the distance is sqrt (4*4+3*3)=sqrt (25)=5.
Answer:
Step-by-step explanation:
200? sorry if its wrong
Answer:The first issue one most notice is the words “at least” We are trying to find the probability of at least 2 girls.
The five possible outcomes for girls are 0,1,2,3,4. The odds of 1 girl out of 4 is .25 and the odds of 1 boy out of 4 is .25 (same as the odds of 3 out of 4 girls). Therefore the odds of 1 OR 3 girls must be .5 because 1 girl and 3 girls each has a .25 probability. If the probability of (1 OR 3 girls) equals .5, then the probability of 2 girls must be a different number.
The probability of 2 or more girls, is the sum of the probability of 4 girls (.06125)(—-.5 to the 4th power—— ), plus the probability of 3 girls (.25)——(the same as the probability of 1 boy)—- plus the probability of 2 girls. Since we know the probability of zero boys is .0625 (again, .5 to the 4th power) and the probability of 1 boy is .25 (the same as the probability of 3 girls )———then the probability of 2 girls is ((1 minus (the sum of the probability of 0 OR 1 boys) plus the (sum of the probability of 3 or 4 girls)), or 1-((.0625+.25)+(.0625+.25)), or .375. We had to derive the probability of two from the other known probabilities. Therefore .375+.25+.0625=.6875 is the probability of both AT LEAST 2 girls and also NO MORE than 2 boys. Notice this adds up to 1.375 because the probability of the central number 2 (i.e., .375) appears on both sides.