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
Answer:
The vertex is the point (-6,-34)
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
In this problem we have
Convert in vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square . Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
The vertex is the point (-6,-34)
Approximately equal to symbol
And it’s mostly used in terms of numerical approximations
Answer:
43/18
Step-by-step explanation:
2/3(1/3+ 3 1/4)
2/3(1/3+ 3 1/4)
find the lowest common denominator (12) to add the two fractions.
1/3= 4/12;
3 1/4= 13/4 = 39/12
4/12+ 39/12= 43/12
2/3(43/12)
- Then multiply the fractions.
2/3(43/12)
Numerator: 2*43= 86
Denominator: 3*12= 36
86/36
- Last simplify your fraction.
43/18 or 2 7/18
