Answer:
And the best option would be:
c. 1450 +/- 12
Step-by-step explanation:
Information provided
represent the sample mean for the SAT scores
population mean (variable of interest)
represent the sample variance given
n=25 represent the sample size
Solution
The confidence interval for the true mean is given by :
(1)
The sample deviation would be
The degrees of freedom are given by:
The Confidence is 0.954 or 95.4%, the value of
and
, assuming that we can use the normal distribution in order to find the quantile the critical value would be
The confidence interval would be
And the best option would be:
c. 1450 +/- 12
13x+6y = -30................y = -5 -13x/6
x−2y=−4...................... y = x/2 +2 <span>
If we graph both lines we can get the solution of the system (point of intersection)
The best estimate is (x,y) = (-2.625, 0.688)</span>
Since the 37 is negative the parabola will open downward.
The coefficient on the outside of the ^2 tells you if it opens up or down. If it's positive it opens upward and if it's negative it opens downward.
For the parabola to open sideways it would be a form of x = y^2
Answer:
The dimensions of the yard are W=20ft and L=40ft.
Step-by-step explanation:
Let be:
W: width of the yard.
L:length.
Now, we can write the equation of that relates length and width:
(Equation #1)
The area of the yard can be expressed as (using equation #1 into #2):
(Equation #2)
Since the Area of the yard is
, then equation #2 turns into:

Now, we rearrange this equation:

We can divide the equation by 5 :

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since
and
. The equation factorised looks like this:

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

Therefore, the dimensions of the yard are W=20ft and L=40ft.
Answer:
0.055
Step-by-step explanation:
file is attached with explanation