Answer: 1.460
Step-by-step explanation:
Given : Researchers report that on average freshman who live on campus gain 15 pounds during their first year in college.
Let
represents the population mean .
Then, the set of hypothesis will be:-


We assume that this is normal distribution.
Sample size : n = 10, which is a small sample (n<30) ,s o we use t-test.
Sample mean : 
Standard deviation : 
The test statistic for population mean for small sample is given by :-


Hence , the value of test statistic = 1.460
Answer: $1114.91
Step-by-step explanation:
The formula for compound interest is

Where
A = final amount
P = initial principal balance (1030 for this)
r = interest rate (0.04 for this)
n = number of times interest applied per time period (2 for this)
t = number of time periods elapsed (2 for this)

This rounds up to $1114.91
Answer:
k = 2
Step-by-step explanation:
Given
15k - 4 = 5k + 16 ( subtract 5k from both sides )
10k - 4 = 16 ( add 4 to both sides )
10k = 20 ( divide both sides by 10 )
k = 2
Answer:
Step-by-step explanation:
Use the exponential function
where a is the initial value of the car, b is the rate of decay, and t is the time in years. For us, a = 18000, b = (1 - .15), so the model for this car is:
We can use this model now to find the value, v(t), of the car after 3 years has gone by (from 2006 to 2009 is 3 years):
and simplifying a bit:
v(t) = 18000(.614125) so
v(t) = 11054.25
Round however you need to.
Answer:
8 red haired and 42 brown haired
Step-by-step explanation:
I chose a random number to start off with (which is 8) and I multiplied it by 5.
8•5=40 and then you have to add 2, so you get 42.
42+8 = 50
The equation would be (5x+2)+x where 'x' is the number of people with red hair.