Answer:
S= 5/2
Step-by-step explanation:
Answer:
B. y = -2x + 8
Step-by-step explanation:
So the slope is the number that comes before the x, and if the slope is -2, that means the number before is -2, and it is.
And to know if it goes through (1, 6), put those numbers into the equation and see if they match up (x is the y-intercept)
6 = -2(1) + x
6 = -2 + x
x = 8
The one with both of these is B, which means B is the answer
Answer:
the answer is 96
Step-by-step explanation:
- 9
-3
100-
-3
100-1-3
96
Step-by-step explanation:
Population Mean (u) = 3.50
Sample (n)= 36
Sample mean (x) = 3.60
Population standard deviation (s)= 0.40
Test statistics:
(Null hypothesis) H0: u= 3.5 (Population mean is equal to 3.5)
(Alternate hypothesis) H1: u> 3.5 (Population mean is greater than 3.5)
Z= 
= 
= 
= 1.5
critical value= Z0.05= 1.645 (From Z table)
Since, Z value is less than critical Z value that is Z<1.645
We cannot reject null hypothesis
So, we decide to reject that the mean GPA of graduates exceeds 3.50
The coordinates of the focus of the parabola are (4 , 0)
Step-by-step explanation:
The standard form of the equation of the parabola is
(x - h)² = 4p(y - k), where
- The vertex of the parabola is (h , k)
- The focus is (h , k + p)
- The directrix is at y = k - p
∵ The equation of the parabola is 12(y + 3) = (x - 4)²
- The form of the equation is (x - h)² = 4p(y - k), compare
between them to find h, k and p
∴ h = 4
∵ - k = 3
- Multiply both sides by -1
∴ k = -3
∵ 4p = 12
- Divide both sides by 4
∴ p = 3
∵ The coordinates of the focus are (h , k + p)
∵ h = 4 , k = -3 , p = 3
∴ k + p = -3 + 3
∴ k + p = 0
∴ The focus is (4 , 0)
The coordinates of the focus of the parabola are (4 , 0)
Learn more:
You can learn more about the equation of the parabola in brainly.com/question/9390381
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