Using the binomial distribution, it is found that there is a 0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, for the parameters, we consider that:
- 10% of the 9-year old children in a town have three siblings, hence p = 0.1.
- Fifteen 9-year old children are selected at random, hence n = 15.
The probability that more than 3 of these selected children have three siblings is given by:

In which:

Then:






P(X > 3) = 1 - 0.9445 = 0.0555
0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.
More can be learned about the binomial distribution at brainly.com/question/24863377
Hey there :)
Now lets name each house
A B C D E F
500ft <-> 500ft <-> 500ft <-> 500ft <-> 500ft <-> 2000ft
Let's say the bus stops at A
= 0 ( from A ) + 500 ( from B ) + 500 + 500 ( from C ) + 500 + 500 + 500 ( from D ) + 500 + 500 + 500 + 500 ( from E ) + 500 + 500 + 500 + 500 + 2000 ( from F )
= 0 + 500 + 1000 + 1500 + 2000 + 4000
= 9000 ft
at B
= 500 ( from A ) + 0 ( from B ) + 500 ( from C ) + 500 + 500 ( from D ) + 500 + 500 + 500 ( from E ) + 500 + 500 + 500 + 2000 ( from F )
= 500 + 0 + 500 + 1000 + 1500 + 3500
= 7000 ft
at C
= 500 ( from A ) + 500 + 500 ( from B ) + 0 ( from C ) + 500 ( from D ) + 500 + 500 ( from E ) + 500 + 500 + 2000 ( from F )
= 500 + 1000 + 0 + 500 + 1000 + 3000
= 6000 ft
Do the same for D , E and F
at D
= 6000 ft
at E
= 7000 ft
at F
= 15000 ft
You will find that the bus should stop at either C or D to make the sum of distances from every house to the stop as small as possible.
For the triangle use 14 for the height and 9 for the base. use the formula 1/2bh and multiple it by two.
for the circle do 3.14 times 9 squared and divided it by two. formula 3.14r^2.
the answer should be 317.34
hope this helps.
Answer:

Step-by-step explanation:

by multiplying

The answers to the bearing problems are listed below:
- How far North is the ship now ___________ 38.82 km
- How far East is the ship now ____________ 144.89 km
- How far is the ship from its starting point_____241.48 km
- On what bearing is it now from its original position____035°
<h3>Meaning of bearing.</h3>
Bearing can defined as branch of mathematics that describes the accurate location of an object at any point in time.
<h3>Analysis</h3>
The answers to the problem from 1-3 can be gotten by using sin and cos to find the missing sides.
The final value can be gotten using the cosine rule
4). bearing from original position =
(
+
﹣
) /
= 35°
In conclusion, the answers for each is given in the list above.
Learn more about Bearing: brainly.com/question/24142612
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