So, it starts off with 10 half gallons. 10*1/2 is 5, so in other words she put in 5 gallons and paid 15.26. As an equation it can be represented by 5x=15.26 where x is the cost of the gallons which is what we're trying to find. We can solve by using the division property of equality and divide both sides by 5. This gets us x=3.052. So, it costs $3.052 exactly for a gallon of gasoline.
Answer:
$14476.13
Step-by-step explanation:
This is an example of a geometric sequence in which the common ratio (the number you multiply a term by to get the next one) is less than 1.
If the value of the car is decreasing by 12.5% each year, so each year, the value is 100% - 12.5% = 87.5% of the value in the previous year.
After 5 years, the value is 28750(0.875)^5.
To be a right angled triangle, it must follow the rule a² + b² = c² (where c is the longest side)
4.5² + 6² = 20.25 + 36 = 56.25
7² = 49
This is NOT a right angled triangle.
To make this into a right angled triangle, the longest side c should be longer.
c = √56.25 = 7.5 inches
Answer:
m<GEF = 32 degrees
Step-by-step explanation:
<EGF = 180-64=116
116 + 32 + 32 = 180 degrees
64/2 = 32 degrees
Answer:
See proof below.
Step-by-step explanation:
If we assume the following linear model:
And if we have n sets of paired observations 
the model can be written like this:
And using the least squares procedure gives to us the following least squares estimates 
for 
and 
for 
:
Where:
Then 
is a random variable and the estimated value is 
. We can express this estimator like this:
Where 
and if we see careful we notice that 
and 
So then when we find the expected value we got:
And as we can see is an unbiased estimator for
In order to find the variance for the estimator we have this:
And we can assume that 
since the observations are assumed independent, then we have this:
And if we simplify we got:
And with this we complete the proof required.
