Answer:
By the Central Limit Theorem, the sampling distribution of the sample mean amount of money in a savings account is approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Average of 1,200 dollars and a standard deviation of 900 dollars.
This means that 
Sample of 10.
This means that 
The sampling distribution of the sample mean amount of money in a savings account is
By the Central Limit Theorem, approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.
The standard form of a parabola is y=ax²+bx+c
use the three given points to find the three unknown constants a, b, and c:
-2=a+b+c............1
-2=4a+2b+c......... 2
-4=9a+3b+c...........3
equation 2 minus equation 1: 3a+b=0..........4
equation 3 minus equation 2: 5a+b=-2.........5
equation 5 minus equation 4: 2a=-2, so a=-1
plug a=-1 in equation 4: -3+b=0, so b=3
Plug a=-1, b=3 in equation 1: -2=-1+3+c, so c=-4
the parabola is y=-x²+3x-4
double check: when x=1, y=-1+3-4=-2
when x=2, y=-4+6-4=-2
when x=3, y=-9+9-4=-4
Yes.
Hey there!!
The given set is a function
( x , y ) - this is the form in which we write co-ordinates
In order to be a function , at least x values shall repeat.
Noted down all the x values
2 , -1, 4 , -2
None of the values is repeating.
Hence, the given data is a function
Hope my answer helps!
Answer: 2.5 hours is the answer
Step-by-step explanation:
It took Travis 2.5 hours to complete 3/4 of his trip. To find the average speed, we need to find his speed during 3/4 of the trip and then the 52.5 miles.
So you know that 52.5 is 1/4 of his total trip. That means if we multiply that by 3, that's how many miles he traveled in 2.5hrs. (157.5)
To calculate speed, divide distance by time.
For 3/4 of his trip (157.5), it took him 2.5 hours.
157.5/2.5 = 63mph
For the remaining 52.5 miles, it took him an hour.
52.5/1 = 52.5mph
Now average those two speeds to get the average speed for the whole trip.
(63+52.5)/2= 57.6mph
