I think the correct answer from the choices listed above is the second option. Combining probabilities is a function of mutually exclusive events. Joint probability<span> is a measure of two events happening at the same time, and can only be applied to situations where more than one observation can be occurred at the same time.</span>
Start by distributing the exponent to each of the terms in
. This will become
, and
. Now, the expression is:
.
We can now simplify the bottom to read:
because when multiplying variables raised to an exponent, we add the exponents. The expression now looks like:

The 2/8 simplifies to 1/4:

Now, we have two u terms on the top and bottom. When dividing variables raised to an exponent, we subtract the exponents. However, since 3-5=-2, the term will be on the bottom to avoid the negative exponent. The final answer is:

Hope this makes sense!!
A cause and effect relationship exist between two variables, when one
variable event is made to happen by the other variable.
The situation which best shows causation is option <u>B) The amount of time a </u>
<u>cell phone is used affects the charge of the battery</u>.
Reasons:
Causation is the condition in which the occurrence of an event is caused by
or contributed to by another event. Such that the incident or observation
identified as the cause is responsible for the event, while the the
occurrence of the event depends on the cause being put in place.
- Option A) A rectangle of a given width can have different dimensions of length
- Option C) Milkshakes and ice cream bars can have different customer base, such that the number of milkshake and ice cream bars sold can be equal
- Option D) The balls used in a soccer match are provided by the officials of the game
Therefore;
- The situation which shows causation is B) <u>The amount of time a cell phone is used affects the charge of the battery</u>.
The option is correct because, a cell phone is powered by battery, and
therefore, the more the cell phone is used, the battery power is used up
and therefore, the charge on the battery is reduced.
Learn more here:
brainly.com/question/18404964

and you can simply solve that for "x"
Answer:
B)
and 
Step-by-step explanation:
The given sequence is 6, 11, 16, 21,...
The common difference is d=11-6=5
The first term in the sequence is 
The recursive formula for an arithmetic sequence is given as:

Substitute the above information to get:
