Answer:
96
Step-by-step explanation:
First, you find the area of RPQ using 1/2×base×height. That is, 1/2×6×8. And the answer is 24. Then you multiply 24 by 4 to get the area of all the sides excluding the base to get 96.
Answer:
(a)
and
are indeed mutually-exclusive.
(b)
, whereas
.
(c)
.
(d)
, whereas 
Step-by-step explanation:
<h3>(a)</h3>
means that it is impossible for events
and
to happen at the same time. Therefore, event
and
are mutually-exclusive.
<h3>(b)</h3>
By the definition of conditional probability:
.
Rearrange to obtain:
.
Similarly:
.
<h3>(c)</h3>
Note that:
.
In other words,
and
are collectively-exhaustive. Since
and
are collectively-exhaustive and mutually-exclusive at the same time:
.
<h3>(d)</h3>
By Bayes' Theorem:
.
Similarly:
.
You will have to get the difference and get a common denominator but first combine the mixed number:

Then subtract the numbers

Angel took 5/12 hours longer than Chris
Before we do anything we must convert radians to degrees using a table. pi/3 radians equals 60 degrees, meaning the central angle of this arc is 60 degrees. This also tells us that the length of the arc is 1/6 of the whole circumference. All we have to do now is calculate the circumference which is diameter x pi.
arc = 1/6 pi x 36
arc = 6pi cm
Answer:
1. 320 2. 580
Step-by-step explanation:
when you round 320, it is 320 because the hundredths place is 0, which is under 5 so the numbers wouldn't change.
When you round 579, the hundredths place is a 9, which is over 5 so you add 1 to seven to get 8.