Answer:
m<R=48.2 to the nearest tenth
Step-by-step explanation:
1. sin(m<T)=2/3
m<T=arcsin(2/3)=41.81 degrees
m<R=180-90-m<T=180-90-41.81=48.19 degrees
How come it’s a right triangle, I think you do a2+b2=C2. Therefore, you do 9.4 times 9.4 and then 15.1 times 15.1. So it will be 9.4 + b2=15.1. 88.36+ b2=228.01. Then you subtract that and it will be 139.65. Then you do square roots because you are trying to get rid of the second power. And the final answer is 11.81736011. How they told you to round it to the nearest tenth, I will be 11.8. I think this is the answer.
$22 = 88 quarters
One dollar = Four quarters
22 x 2 = 44
22 x 3 = 66
22 x 4 = 88
When we say two quantities
and
are proportional to one another, there are two ways we could mean this.
- If
is *directly* proportional to
, then we mean that as
changes,
changes in the same direction. In other words, if
is in/decreased, then
also in/decreases. The rate of in/decrease doesn't have to be one-to-one; for example, we could have
increase by 1 unit while
would proportionally increase by 5 units. In this case, we'd have
.
- On the other hand, if
is *inversely* proportional to
, then a change in
results in a change in
that goes in the opposite direction. A common example involves taking a rectangle of constant area and adjusting the width
and length
. If the rectangle has an area of 5 square units, then we could have
and
, or we could have
and
, or
and
, or any combination of
and
such that
is satisfied.
In both cases, we call 5 the "constant of proportionality".
On to your exercises:
(1a) Looks like
stands for number of apples. Then we're told that the cost
, which means that for every apple, the cost increases by 2.3 dollars. So the constant of proportionality is 2.3. In the language of proportionality, we could then say that the cost of apples is directly proportional to the number of apples by a factor of 2.3.
(1b) 5.4
(1c) 12.5
Answer:
2
Step-by-step explanation:
We are given that Ticket writing on campus follows a Poisson process.
Last year the campus police wrote 1460 tickets
So, 
1 year = 365 days
So, E(Y) =
So, the standard deviation of the number of tickets written per day by the campus police = 
Hence the standard deviation of the number of tickets written per day by the campus police is 2