We are 99% confident that the interval from 0.102 to 0.236 actually does contain the true value of the population proportion <span>p.</span>
The vertex form of the function is y = (x + 8)² - 71
The vertex is (-8 , -71)
Step-by-step explanation:
The vertex form of the quadratic equation y = ax² + bx + c is
y = a(x - h)² + k, where
- (h , k) are the coordinates of the vertex point
- a, b, c are constant where a is the leading coefficient of the function (coefficient of x²) , b is the coefficient of x and c is the y-intercept

- k is the value of y when x = h
∵ y = x² + 16x - 7
∵ y = ax² + bx + c
∴ a = 1 , b = 16 , c = -7
∵ 
∴ 
∴ h = -8
To find k substitute y by k and x by -8 in the equation above
∵ k is the value of y when x = h
∵ h = -8
∴ k = (-8)² + 16(-8) - 7 = -71
∵ The vertex form of the quadratic equation is y = a(x - h)² + k
∵ a = 1 , h = -8 , k = -71
∴ y = (1)(x - (-8))² + (-71)
∴ y = (x + 8)² - 71
∵ (h , k) are the coordinates of the vertex point
∵ h = -8 and k = -71
∴ The vertex is (-8 , -71)
The vertex form of the function is y = (x + 8)² - 71
The vertex is (-8 , -71)
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Answer:
1 the first one
Step-by-step explanation: its biased as you are asking people wearing football jerseys, hinting that they like football.
So it's 28% so you do 20\28= 15 dollars
Answer:

Step-by-step explanation:
Find the area of the square - area of 4 sectors
We'll use the formula to find one sector area

where r is the radius of one sector and x is the angle in radians
Since each angle is in a square, the angle of the sectors is 90 degrees.
Convert degrees to radians

The radius of one sector is given by 70mm/2=35mm
One sector area:

Area of all 4 sectors:

Area of the square:

Hence, Area of square - 4 Sectors:
