Answer:

Step-by-step explanation:






Answer:
Point coordinates: (5,5)
Explanation:
Q = (1,4)
4 units to the right is the same as <em>x + 4</em>
1 unit up is the same as <em>y + 1</em>
The translation's coordinates are (1+4,4+1)
Answer:
a) 0.913
b) 0.397
c) 0.087
Step-by-step explanation:
We are given the following information:
We treat wearing tie too tight as a success.
P(Tight tie) = 15% = 0.15
Then the number of businessmen follows a binomial distribution, where

where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 15
We have to evaluate:
a) at least one tie is too tight

b) more than two ties are too tight

c) no tie is too tight

d) at least 18 ties are not too tight
This probability cannot be evaluated as the number of success or the failures exceeds the number of trials given which is 15.
The probability is asked for 18 failures which cannot be evaluated.
Answer:
Function for given situation is : 
Value of computer after 4 years = $720.3.
Step-by-step explanation:
Given that the value of a $3000 computer decreases about 30% each year. Now we need to write a function for the computers value V(t). then we need to find about how much will the computer be worth in 4 years.
It clearly says that value decreases so that means function represents decay.
For decay we use formula:

where P=initial value = $3000,
r= rate of decrease =30% = 0.30
t= number of years
A=V(t) = future value
so the required function is 
or 
Now plug t=4 years to get the value of computer after 4 years.


Hence final answer is $720.3.