This is a binomial experiment and you'll use the binomial probability distribution because:
- There are two choices for each birth. Either you get a girl or you get a boy. So there are two outcomes to each trial. This is where the "bi" comes from in "binomial" (bi means 2).
- Each birth is independent of any other birth. The probability of getting a girl is the same for each trial. In this case, the probability is p = 1/2 = 0.5 = 50%
- There are fixed number of trials. In this case, there are 5 births so n = 5 is the number of trials.
Since all of those conditions above are met, this means we have a binomial experiment.
Some textbooks may split up item #2 into two parts, but I chose to place them together since they are similar ideas.
Answer:
1/6
Step-by-step explanation:
First convert 4.2m to cm
100cm = 1m
x = 4.2m
x = 4.2 * 100
x = 420cm
70cm to 420cm = 70/420
70/420 = 7/42
7/42 = 1/6
Hence 70 cm as a fraction of 4.2 m is 1/6
Answer:
262.44 cubic metres.
Step-by-step explanation:
First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.
pi * (5/2)^2 * 7 = pi * 25/4 * 7 = pi * 6.25 * 7 = pi * 43.75 = 3.14159265 * 43.75 = 137.4446784 cubic m.
Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.
137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.
Hope this helps!
The area of the circle grows by a factor of 9, and the actual area is 360
<h3>How to determine the new area?</h3>
The given parameters are:
Old area = 40
Scale factor = 3
When the circle is dilated, the new area becomes
New area = Old * (Scale factor)^2
Substitute 3 for scale factor
New area = Old * 3^2
Evaluate the exponent
New area = Old * 9
This means that the area of the circle grows by a factor of 9, and the actual area is:
New area = 40 * 9 = 360
Read more about dilation at:
brainly.com/question/3457976
#SPJ1
Answer: 28 pairs
Step-by-step explanation:
12 times 5 is 60, so she has 60 pairs in total. She gives 32 pairs to one son, so 60-32 is 28. The other son receives 28 pairs of socks.