Answer:
<h2>The answer is 0.008789.</h2>
Step-by-step explanation:
The probability of getting a head or tail in a toss is
.
It is given that in the 6th toss, the outcome should be head.
Rather than the 6th toss, there are 9 tosses. From these 9 tosses 1 toss can be selected in 9 ways.
Hence, the probability is
= 0.008789.
The answer to the first one is 15.6 and the second one is 1.76
angles formed by these tosses are
and
degrees to the nearest hundredth.
<u>Step-by-step explanation:</u>
Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.
The Law of Cosines (also called the Cosine Rule) says:

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
The Law of Sines (or Sine Rule) is very useful for solving triangles:

We can now find another angle using the sine rule:
⇒
⇒
⇒
So, the third angle =
Therefore, angles formed by these tosses are
and
degrees to the nearest hundredth.
Number of ways to select 3 books from 13 books for adoption is 286 .
<u>Step-by-step explanation:</u>
A Permutation is an ordered Combination. When the order does matter it is a Permutation. There are basically two types of permutation:
- Repetition is Allowed: such as the lock above. It could be "333".
- No Repetition: for example the first three people in a running race. You can't be first and second.
Formula is given by:
, where n is the number of things to choose from, and we choose r of them, no repetitions, order matters. Here , n=13 , r=3.
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
∴ Number of ways to select 3 books from 13 books for adoption is 286 .
Answer:
19
Step-by-step explanation:
maximum no. of bag filled by 4275 sweets,is
4275/28 ~=152
therefore , there is 4256 sweets in 152 bags
therefore,4275-4256=19 sweets are left