Answer:
y = - 3x² - 24x - 60
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, - 12 ), thus
y = a(x + 4)² - 12
To calculate a substitute (- 7, - 39) into the equation
- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )
- 27 = 9a ( divide both sides by 9 )
- 3 = a
y = - 3(x + 4)² - 12 ← in vertex form
Expand (x + 4)²
y = - 3(x² + 8x + 16) - 12
= - 3x² - 24x - 48 - 12
y = - 3x² - 24x - 60 ← in standard form
= - 3(x²
Answer:
Q4: First, third, fifth
Step-by-step explanation:
I'm pretty sure question 5 is the first, and fourth one.
Answer:
No. of times Ellen draws a blue marble = 120
Step-by-step explanation:
No. of red marbles = 3
No. of blue marbles = 2
So, the required probability is 120.
Answer: D
Step-by-step explanation:
It shows the bar going left, meaning its going higher, and we only marked 2
Answer:
Assumptions are not met. Can not make confidence interval.
Step-by-step explanation:
In the General Social Survey, sample size is 1514.
The proportion of those who see themselves social is 
≈ 0.31
To give an 95% confidence interval, we should be able to calculate margin of error of the sample mean, which is given by the formula
M±
where M is the mean of the sample (in the General Social Survey it is 0.31), z is z-score for the 95% confidence level(approx. 1.94), s is the standard deviation of the sample, N is the size of the sample(in this example it is 1514).
Since we don't know the standard deviation of the sample, we cannot give a confidence interval.
