We'll use the formula for the classical probability as follows.
P(A) = Number of outcomes favorable for A / Total number of possible outcomes
In this case, two socks are randomly drawn from a set of 6+10 = 16 socks. So the total number of possible outcomes = 16C2 = 120.
The two stocks match each other if they are both blue or grey. So the number of favorable outcomes is 6C2 + 10C2 = 15 + 45 = 60.
Hence the probability that the two stocks match is
.
The larger number is 5.
<u><em>Explanation</em></u>
Lets assume, the larger number is 
and the smaller number is 
As the sum of two numbers is 9, so...
Now, the sum of their squares is 41, so....
First, solving equation (1) for ....
Now, plugging this into equation (2) , we will get...
If 
then 
So, the larger number is 5.
Answer:
i am pretty sure the answer is D) X =4 -73
Answer:
36 meters
Step-by-step explanation:
The bird starts at 20 and (assuming it goes up) increases by 16 meters. You have to add to get 36. However, if the bird flies 16 meters down, the answer would be four meters. The answer 36 is assuming the bird flies upward.
In this case we have an ARM fixed for 6 years and adjust after the initial first 6 years every 2 years after. The basic idea behind a ARM is that the interest changes periodically, but since our ARM is fixed for 6 years, our going to calculate the monthly payment during the initial period using the formula:
where
is the monthly payment
is the amount
is the interest rate in decimal form
is the number years
First we need to convert our interest rate of 4% to decimal form by dividing it by 100%:
We also know from our question that
and
, so lets replace those values into our formula to find the monthly payment:
We can conclude that the monthly payment during the initial period is $1071.58<span />
